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Papers

The TCDMATH Report Series is a series based at the School of Mathematics, Trinity College, Dublin 2, Ireland. It contains technical reports and preprints produced by members of the School and was started in this form in 1997. 
If there are any problems, contact Colm Ó Dúnlaing,
odunlain@maths.tcd.ie. (click here to send e-mail)

TCDMATH 24-02. 

A perturbative approach to the non-relativistic string spectrum, by Marius de Leeuw, Andrea Fontanella, and Juan Miguel Nieto García.
link to arXiv 2403.09563

TCDMATH 24-01. 

Constructing Non-Relativistic AdS5/CFT4 Holography, by Andrea Fontanella and Juan Miguel Nieto García.
link to arXiv 2403.02379

TCDMATH 23-01. 
Non-perturbative path integral quantization of the electroweak model: the Maxwell integration, by M. P. Fry.
link to arXiv 2002.05385

TCDMATH 22-09. 
Decay channels for double extremal black holes in four dimensions, by Johannes Aspman and Jan Manschot.
link to arXiv 2212.10645

TCDMATH 22-08. 
Supersymmetric black holes and TT deformation, by Jan Manschot, and Swapnamay Mondal.
link to arXiv 2207.01462

TCDMATH 22-07. 
Topological twists of massive SQCD, Part I, by Johannes Aspman, Elias Furrer, and Jan Manschot.
link to arXiv 2206.08943

TCDMATH 22-06. 
Modular bootstrap for D4-D2-D0 indices on compact Calabi-Yau threefolds, by Sergei Alexandrov, Nava Gaddam, Jan Manschot, Boris Pioline.
link to arXiv 2204.02207

TCDMATH 22-05. 
Classifying integrable spin-1/2 chains with nearest neighbour interactions, by Marius de Leeuw, Anton Pribytok, and Paul Ryan.
link to arXiv 1904.12005

TCDMATH 22-04. 
Celestial holography on Kerr-Schild backgrounds, by Riccardo Gonzo, Tristan McLoughlin, and Andrea Puhm.
link to arXiv 2207.13719

TCDMATH 22-03. 
Lifting integrable models and long-range interactions, by Marius de Leeuw and Ana. L. Retore.
link to arXiv 2206.08390

TCDMATH 22-02. 
The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes, by Tristan McLoughlin, Andrea Puhm, and Ana-Maria Raclariu.
link to arXiv 2203.13022

TCDMATH 22-01. 
Chaotic spin chains in AdS/CFT, by Tristan McLoughlin and Anne Spiering.
link to arXiv 2202.12075

TCDMATH 21-16. 
Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2, by Sergey Frolov and Alessandro Sfondrini.
link to arXiv 2112.08898

TCDMATH 21-15. 
New Dressing Factors for AdS3/CFT2, by Sergey Frolov and Alessandro Sfondrini.
link to arXiv 2112.08896

TCDMATH 21-14. 
Massless S matrices for AdS3/CFT2, by Sergey Frolov and Alessandro Sfondrini.
link to arXiv 2112.08895

TCDMATH 21-13. 
Four flavours, triality and bimodular forms by Johannes Aspman, Elias Furrer, and Jan Manschot.
link to arXiv 2110.11969

TCDMATH 21-12. 
Scaling Black Holes and Modularity, by Aradhita Chattopadhyaya, Jan Manschot, and Swapnamay Mondal.
link to arXiv 2110.11969

TCDMATH 21-11. 
Cutting and gluing with running couplings in N = 2 QCD, by Johannes Aspman, Elias Furrer, and Jan Manschot.
link to arXiv 2107.04600

TCDMATH 21-10. 
Integrable deformations of AdS/CFT, by Marius de Leeuw, Anton Pribytok, Ana L. Retore, and Paul Ryan.
link to arXiv 2109.00017

TCDMATH 21-09. 
Spin chains with boundary inhomogeneities, by Rafael I. Nepomechie and Ana L. Retore.
link to arXiv 2105.04982

TCDMATH 21-08. 
A coefficient related to splay-to-root traversal, correct to thousands of decimal places, by Colm Ó Dúnlaing.
link to arXiv 2108.05666

TCDMATH 21-07. 
The diagrammatic coaction beyond one loop, by Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi, and James Matthew.
link to arXiv 2106.01280

TCDMATH 21-06. 
Coaction and double-copy properties of configuration-space integrals at genus zero, by Ruth Britto, Sebastian Mizera, Carlos Rodriguez, and Oliver Schlotterer.
link to arXiv 2102.06206

TCDMATH 21-05. 
The dimension-shift conjecture for one-loop amplitudes, by Ruth Britto, Guy R. Jehu, and Andrea Orta.
link to arXiv 2011.13821

TCDMATH 21-04. 
Topological correlators of SU(2), N=2*SYM on four-manifolds, by Jan Manschot and Gregory W. Moore.
link to arXiv 2104.06492

TCDMATH 21-03. 
TTbar Deformations of nonrelativistic models, by Chantelle Esper and Sergey Frolov
link to arXiv 2102.12435

TCDMATH 21-02. 
Constructing Integrable Lindblad Superoperators, by Marius de Leeuw, Chiara Paletta, and Balázs Pozsgay.
link to arXiv 2101.08279

TCDMATH 21-01. 
Factorization identities and algebraic Bethe ansatz for D(2)2 models, by Rafael I. Nepomechie and Ana L. Retore.
link to arXiv 2012.08367

TCDMATH 20-15. 
Determinant Form of Correlators in High Rank Integrable Spin Chains via Separation of Variables, by Nikolay Gromov, Fedor Levkovich-Maslyuk, and Paul Ryan.
link to arXiv 2011.08229

TCDMATH 20-14. 
Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT, by Marius de Leeuw, Chiara Paletta, Anton Pribytok, Ana L. Retore, and Alessandro Torrielli.
link to arXiv 2011.08217

TCDMATH 20-13. 
Quantum Chaos in Perturbative super-Yang-Mills Theory, by Tristan McLoughlin, Raul Pereira, and Anne Spiering.
link to arXiv 2011.04633

TCDMATH 20-12. 
Yang-Baxter and the Boost: splitting the difference, by Marius de Leeuw, Chiara Paletta, Anton Pribytok, Ana L. Retore, and Paul Ryan.
link to arXiv 2010.11231

TCDMATH 20-11. 
Horizon states and the sign of their index in N=4 dyons, by Aradhita Chattopadhyaya and Justin R. David.
link to arXiv 2010.08967

TCDMATH 20-10. 
Vafa-Witten invariants from exceptional collections, by Guillaume Beaujard, Jan Manschot, and Boris Pioline.
link to arXiv 2004.14466

TCDMATH 20-09. 
Elliptic Loci of SU(3) Vacua, by Johannes Aspman, Elias Furrer, and Jan Manschot.
link to arXiv 2010.06598

TCDMATH 20-08. 
Bound State Scattering Simplified, by Marius de Leeuw, Burkhard Eden, and Alessandro Sfondrini.
link to arXiv 2008.01378

TCDMATH 20-07. 
DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions, by Martijn Hidding.
link to arXiv 2006.05510

TCDMATH 20-06. 
One-Loop Non-Planar Anomalous Dimensions in Super Yang-Mills Theory, by Tristan McLoughlin, Raul Pereira, and Anne Spiering.
link to arXiv 2005.14254

TCDMATH 20-05. 
Near Lightcone Thermal Conformal Correlators and Holography, by Andrei Parnachev.
link to arXiv 2005.06877

TCDMATH 20-04. 
Stress Tensor Sector of Conformal Correlators, by Robin Karlsson, Manuela Kulaxizi, Andrei Parnachev, and Petar Tadić.
link to arXiv 2002.12254

TCDMATH 20-03. 
Gravitational couplings in N=2 heterotic compactifications with Wilson lines, by Aradhita Chattopadhyaya.
link to arXiv 2004.12135

TCDMATH 20-02. 
Classifying nearest-neighbour interactions and deformations of AdS, by Marius de Leeuw, Chiara Paletta, Anton Pribytok, Ana L. Retore, and Paul Ryan.
link to arXiv 2003.04332

TCDMATH 20-01. 
Separation of variables for rational gl(n) spin chains in any compact representation, via fusion, embedding morphism and Backlund flow, by Paul Ryan and Dmytro Volin.
link to arXiv 2002.12341

TCDMATH 19-32. 
Multi-particle finite-volume effects for hexagon tessellations, by Marius de Leeuw, Burkhard Eden, Dennis le Plat, Tim Meier, and Alessandro Sfondrini.
link to arXiv 1912.12231

TCDMATH 19-31. 
Spin Chain Overlaps and the Twisted Yangian, by Marius de Leeuw, Tamás Gombor, Charlotte Kristjansen, Georgios Linardopoulos, and Balázs Pozsgay.
link to arXiv 1912.09338

TCDMATH 19-30. 
A simple model for Hawking radiation, by Swapnamay Mondal.
link to arXiv 1901.03483

TCDMATH 19-29. 
The complete set of two-loop master integrals for Higgs + jet production in QCD, by Hjalte Frellesvig, Martijn Hidding, Leila Maestri, Francesco Moriello, and Giulio Salvatori.
link to arXiv 1911.06308

TCDMATH 19-28. 
Effective gravitational couplings of four-dimensional î${\cal N}=2$ supersymmetric gauge theories, by Jan Manschot, Gregory W. Moore, and Xinyu Zhang.
link to arXiv 1912.04091

TCDMATH 19-27. 
Convolutions on the complex torus, by Marianne Leitner.
link to arXiv 1908.11815

TCDMATH 19-26. 
Multi-stress tensors and next-to-leading singularities in the Regge limit, by Robin Karlsson.
link to arXiv 1912.01577

TCDMATH 19-25. 
Heterotic strings on $(K3\times T^2)/\IZ_3$ and their dual Calabi-Yau threefolds, by Andreas Banlaki, Aradhita Chattopadhyaya, Abhiram Kidambi, Thorsten Schimannek, and Maria Schimpf.
link to arXiv 1911.09697

TCDMATH 19-24. 
New integrable 1D models of superconductivity, by Marius de Leeuw, Anton Pribytok, Ana L. Retore, and Paul Ryan.
link to arXiv 1911.01439

TCDMATH 19-23. 
Non-planar data of N=4 SYM, by Thiago Fleury and Raul Pereira.
link to arXiv 1910.09428

TCDMATH 19-22. 
Dual Separated Variables and Scalar Products, by Nikolay Gromov, Fedor Levkovich-Maslyuk, Paul Ryan, and Dmytro Volin.
link to arXiv 1910.13442

TCDMATH 19-21. 
Mocking the u-plane integral, by Georgios Korpas, Jan Manschot, Gregory W. Moore, and Iurii Nidaiev.
link to arXiv 1910.13410

TCDMATH 19-20. 
From positive geometries to a coaction on hypergeometric functions, by Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi, and James Matthew.
link to arXiv 1910.08358

TCDMATH 19-19. 
S-duality and refined BPS indices, by Sergei Alexandrov, Jan Manschot, and Boris Pioline.
link to arXiv 1910.03098

TCDMATH 19-18. 
Leading Multi-Stress Tensors and Conformal Bootstrap, by Robin Karlsson, Manuela Kulaxizi, Andrei Parnachev, and Petar Tadić.
link to arXiv 1909.05775

TCDMATH 19-17. 
One-point functions in AdS/dCFT, by Marius de Leeuw.
link to arXiv 1908.03444

TCDMATH 19-16. 
Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence, by R. Bonciani, V. Del Duca, H. Frellesvig, J.M. Henn, M. Hidding, L. Maestri, F. Moriello, G. Salvatori, and V.A. Smirnov.
link to arXiv 1907.13156

TCDMATH 19-15. 
$T\bar{T}$, $\tilde{J}J$, $JT$, and $\tilde{J}T$ deformations, by Sergey Frolov.
link to arXiv 1907.12117

TCDMATH 19-14. 
The light-fermion contribution to the exact Higgs-gluon form factor in QCD, by Robert V. Harlander, Mario Prausa, and Johann Usovitsch.
link to arXiv 1907.06957

TCDMATH 19-13. 
Polylogarithms from the bound state S-matrix, by Marius de Leeuw, Burkhard Eden, Dennis le Plat, and Tim Meier.
link to arXiv 1907.07014

TCDMATH 19-12. 
Electroweak pseudo-observables and Z-boson form factors at two-loop accuracy, by Ievgen Dubovyk, Ayres Freitas, Janusz Gluza, Tord Riemann, and Johann Usovitsch.
link to arXiv 1906.08815

TCDMATH 19-11. 
Theory report on the 11th FCC-ee workshop,
by A. Blondel, J. Gluza, S. Jadach, P. Janot, T. Riemann, S. Abreu, J.J. Aguilera-Verdugo, A.B. Arbuzov, J. Baglio, S.D. Bakshi, S. Banerjee, C. Bobeth, C. Bogner, S. Bondarenko, S. Borowka, S. Braß, C.M. Carloni Calame, J. Chakrabortty, M. Chiesa, M. Chrzaszcz, D. d'Enterria, F. Domingo, J. Dormans, F. Driencourt-Mangin, Ya. Dydyshka, F. Febres Cordero, J.A. Gracey, Zhi-Guo He, G. Heinrich, S. Heinemeyer, I. Hönemann, H. Ita, S. Jahn, F. Jegerlehner, S. P. Jones, L. Kalinovskaya, A. Kardos, M. Kerner, W. Kilian, S. Kluth, B. A. Kniehl, A. Maier, P. Maierhöfer, G. Montagna, O. Nicrosini, T. Ohl, B. Page, S. Paßehr, S.K. Patra, F. Piccinini, R. Pittau, W. Placzek, J. Plenter, S. Ramrez-Uribe, J. Reuter, G. Rodrigo, V. Rothe, L. Rumyantsev, R. Sadykov, J. Schlenk, G. F. R. Sborlini, A. Schweitzer, C. Schwinn, M. Skrzypek, G. Somogyi, M. Spira, P. Stienemeier, R. Szafron, K. Tempest, W. J. Torres Bobadilla, S. Tracz, Z. Trócsányi, Z. Tulipánt, J. Usovitsch, A. Verbytskyi, B.F.L. Ward, Z. Was, G. W eiglein, C. Weiland, S. Weinzierl, V. Yermolchyk, S.A. Yost, and J. Zurita.
link to arXiv 1905.05078

TCDMATH 19-10. 
Subleading Eikonal, AdS/CFT and Double Stress Tensors, by Manuela Kulaxizi, Gim Seng Ng, and Andrei Parnachev.
link to arXiv 1907.00867

TCDMATH 19-09. 
Asymptotic Charges and Coherent States in QCD, by Riccardo Gonzo, Tristan McLoughlin, Diego Medrano, and Anne Spiering.
link to arXiv 1906.11763

TCDMATH 19-08. 
A non-integrable quench from AdS/dCFT, by Marius de Leeuw, Charlotte Kristjansen, and Kasper E. Vardinghus.
link to arXiv 1906.10714

TCDMATH 19-07. 
20' Five-Point Function from AdS5×S5 Supergravity, by Vasco Gonçalves, Raul Pereira, and Xinan Zhou.
link to arXiv 1906.05305

TCDMATH 19-06. 

TTbar deformation and the light-cone gauge, by Sergey Frolov.
link to arXiv 1905.07946

TCDMATH 19-05. 

Classifying two-dimensional integrable spin chains, by Marius de Leeuw, Anton Pribytok, and Paul Ryan.
link to arXiv 1904.12005

TCDMATH 19-04. 

The b1 resonance in coupled πω, πφ scattering from lattice QCD, by Antoni J. Woss, Christopher E. Thomas, Jozef J. Dudek, Robert G. Edwards, and David J. Wilson.
link to arXiv 1904.04136

TCDMATH 19-03. 

The The quark-mass dependence of elastic πK scattering from QCD, by David J. Wilson, Raul A. Briceno, Jozef J. Dudek, Robert G. Edwards, and Christopher E. Thomas.
link to arXiv 1904.03188

TCDMATH 19-02. 

Black Holes and Conformal Regge Bootstrap, by Robin Karlsson, Manuela Kulaxizi, Andrei Parnachev, and Petar Tadić.
link to arXiv 1904.00060

TCDMATH 19-01. 

Renormalization and BRST symmetry in Donaldson-Witten theory, by Georgios Korpas, Jan Manschot, Gregory W. Moore, and Iurii Nidaiev.
link to arXiv 1901.03540

TCDMATH 18-21. 

The full spectrum of AdS5/CFT4 II: Weak coupling expansion via the quantum spectral curve, by Christian Marboe, and Dmytro Volin.
link to arXiv 1812.09238

TCDMATH 18-20. 

Black Holes, Heavy States, Phase Shift and Anomalous Dimensions, by Manuela Kulaxizi, Gim Seng Ng, and Andrei Parnachev.
link to arXiv 1812.03120

TCDMATH 18-19. 

Quiver representations in Abelian categories, by Sergey Mozgovoy. 
abstract pdf

TCDMATH 18-18. 

Kira 1.2 Release Notes, by Philipp Maierhöfer and Johann Usovitsch.
link to arXiv 1812.01491

TCDMATH 18-17. 

Generalized Gibbs Ensemble and the Statistics of KdV Charges in 2D CFT, by Alexander Maloney, Gim Seng Ng, Simon F. Ross, and Ioannis Tsiares.
link to arXiv 1810.11054

TCDMATH 18-16. 

Thermal Correlation Functions of KdV Charges in 2D CFT, by Alexander Maloney, Gim Seng Ng, Simon F. Ross, and Ioannis Tsiares.
link to arXiv 1810.11053

TCDMATH 18-15. 

Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame, by Paul Ryan and Dmytro Volin.
link to arXiv 1810.10996

TCDMATH 18-14. 

MBnumerics: Numerical integration of Mellin-Barnes integrals in physical regions, by Johann Usovitsch, Ievgen Dubovyk, and Tord Riemann.
link to arXiv 1810.04580

TCDMATH 18-13. 

Standard Model Theory for the FCC-ee: The Tera-Z, by A. Blondel, J. Gluza, S. Jadach, P. Janot, T. Riemann, A. Akhundov, A. Arbuzov, R. Boels, S. Bondarenko, S. Borowka, C.M. Carloni Calame, I. Dubovyk, Y. Dydyshka, W. Flieger, A. Freitas, K. Grzanka, T. Hahn, T. Huber, L. Kalinovskaya, R. Lee, P. Marquard, G. Montagna, O. Nicrosini, C. G. Papadopoulos, F. Piccinini, R. Pittau, W. Placzek, M. Prausa, S. Riemann, G. Rodrigo, R. Sadykov, M. Skrzypek, D. Stockinger, J. Usovitsch, B.F.L. Ward, S. Weinzierl, G. Yang, and S.A. Yost.
link to arXiv 1809.01830

TCDMATH 18-12. 

Donaldson-Witten theory, surface operators and mock modular forms, by Georgios Korpas.
link to arXiv 1810.07057

TCDMATH 18-12. 

Donaldson-Witten theory, surface operators and mock modular forms, by Georgios Korpas.
link to arXiv 1810.07057

TCDMATH 18-11. 

High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks, by Mattia Dalla Brida, Tomasz Korzec, Stefan Sint, and Pol Vilaseca.
link to arXiv 1808.09236

TCDMATH 18-10. 

How perturbative are heavy sea quarks? by Andreas Athenodorou, Jacob Finkenrath, Francesco Knechtli, Tomasz Korzec, Björn Leder, Marina Krstić Marinković, and Rainer Sommer.
link to arXiv 1809.03383

TCDMATH 18-09. 

All five-loop planar four-point functions of half-BPS operators in N=4 SYM, by Dmitry Chicherin, Alessandro Georgoudis, Vasco Goncalves, and Raul Pereira.
link to arXiv 1809.00551

TCDMATH 18-08. 

Positivity of hexagon perturbation theory, by Burkhard Eden, Yunfeng Jiang, Marius de Leeuw, Tim Meier, Dennis le Plat, and Alessandro Sfondrini.
link to arXiv 1806.06051

TCDMATH 18-07. 

Nonlocal Symmetries and Factorized Scattering, by Florian Loebbert and Anne Spiering.
link to arXiv 1805.11993

TCDMATH 18-06. 

Complete electroweak two-loop corrections to Z boson production and decay, by Ievgen Dubovyk, Ayres Freitas, Janusz Gluza, Tord Riemann, and Johann Usovitsch.
link to arXiv 1804.10236

TCDMATH 18-05. 

Thermal Conformal Blocks, by Yan Gobeil, Alexander Maloney, Gim Seng Ng, and Jie-qiang Wu.
link to arXiv 1802.10537

TCDMATH 18-04. 

Scalar one-point functions and matrix product states of AdS/dCFT, by Marius de Leeuw, Charlotte Kristjansen, and Georgios Linardopoulos.
link to arXiv 1802.01598

TCDMATH 18-03. 

Five-loop massless propagator integrals, by Alessandro Georgoudis, Vasco Gonçalves, Erik Panzer, and Raul Pereira.
link to arXiv 1802.00803

TCDMATH 18-02. 

Kira - A Feynman Integral Reduction Program, by Philipp Maierhoefer, Johann Usovitsch, and Peter Uwer.
link to arXiv 1705.05610

TCDMATH 18-01. 

Coadjoint Orbits, Coycles and Gravitational Wess-Zumino, by Anton Alekseev and Samson L. Shatashvili.
link to arXiv 1801.07963

TCDMATH 17-23. 

General Backgrounds for higher spin massive particles, by Ignacio Cortese and Manuela Kulaxizi
link to arXiv 1711.11535

TCDMATH 17-22. 

The complete unitary dual of non-compact Lie superalgebra su(p,q|m) via the generalised oscillator formalism, and non-compact Young diagrams, by Murat Günaydin and Dmytro Volin
link to arXiv 1712.01811

TCDMATH 17-21. 

Konishi OPE coefficient at the five loop order by Alessandro Georgoudis, Vasco Goncalves, and Raul Pereira.
link to arXiv 1710.06419

TCDMATH 17-20. 

On structure groups of set-theoretic solutions to the Yang-Baxter equation, by V. Lebed and L. Vendramin.
link to arXiv 1707.00633

TCDMATH 17-19. 

Plactic monoids: a braided approach, by Victoria Lebed.
link to arXiv 1612.05768

TCDMATH 17-18. 

Diagonal Form Factors in Landau-Lifshitz Models, by Lorenzo Gerotto and Tristan McLoughlin.
link to arXiv 1710.02138

TCDMATH 17-17. 

Vafa-Witten theory and iterated integrals of modular forms, by Jan Manschot.
link to arXiv 1709.10098

TCDMATH 17-16. 

Isoscalar $\pi\pi,K\overline{K}, \eta\eta$ scattering and the $\sigma, f_0, f_2$ mesons from QCD, by Raul A. Briceno, Jozef J. Dudek, Robert G. Edwards, and David J. Wilson.
link to arXiv 1708.06667

TCDMATH 17-15. 

Donaldson-Witten theory and indefinite theta functions, by Georgios Korpas and Jan Manschot.
link to arXiv 1707.06235

TCDMATH 17-14. 

On Complexity of Holographic Flavors, by Francisco Jose Garcia Abad, Manuela Kulaxizi, and Andrei Parnachev.
link to arXiv 1705.08424

TCDMATH 17-13. 

Bootstrapping the operatorial Q-system of non-compact super spin chains by Rouven Frassek, Christian Marboe, and David Meidinger.
link to arXiv 1706.02320

TCDMATH 17-12. 

Baikov-Lee Representations Of Cut Feynman Integrals, by Mark Harley, Francesco Moriello, and Robert M. Schabinger.
link to arXiv 1705.03478

TCDMATH 17-11. 

Bulk Phase Shift, CFT Regge Limit and Einstein Gravity, by Manuela Kulaxizi, Andrei Parnachev, and Alexander Zhiboedov.
link to arXiv 1705.02934

TCDMATH 17-10. 

Free field representation of the ZF algebra of the SU(N)xSU(N) PCF model, by Sergey Frolov.
link to arXiv 1705.02602

TCDMATH 17-09. 

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case, by Samuel Abreu, Ruth Britto, Claude Duhr, and Einan Gardi.
link to arXiv 1704.07931

TCDMATH 17-08. 

Eichler cohomology and zeros of polynomials associated to derivatives of L-functions, by Nikolaos Diamantis and Larry Rolen.
link to arXiv 1704.02667

TCDMATH 17-07. 

Images of Maass-Poincaré series in the lower half-plane, by Nickolas Andersen, Kathrin Bringmann, and Larry Rolen.
link to arXiv 1612.00051

TCDMATH 17-06. 

The algebraic structure of cut Feynman integrals and the diagrammatic coaction, by Samuel Abreu, Ruth Britto, Claude Duhr, and Einan Gardi.
link to arXiv 1703.05064

TCDMATH 17-05. 

Multiple D3-instantons and mock modular forms II, by Sergei Alexandrov, Sibasish Banerjee, Jan Manschot, and Boris Pioline.
link to arXiv 1702.05497

TCDMATH 17-04. 

Cuts from residues: the one-loop case, by Samuel Abreu, Ruth Britto, Claude Duhr, and Einan Gardi.
link to arXiv 1702.03163

TCDMATH 17-03. 

Numerical Multi-Loop Calculations via Finite Integrals and One-Mass EW-QCD Drell-Yan Master Integrals, by Andreas von Manteuffel and Robert M. Schabinger.
link to arXiv 1701.06583

TCDMATH 17-02. 

The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system, by Christian Marboe and Dmytro Volin.
link to arXiv 1701.03704

TCDMATH 17-01. 

Towards 4-point correlation functions of any 1/2-BPS operators from supergravity, by Gleb Arutyunov, Sergey Frolov, Rob Klabbers, and Sergei Savin.
link to arXiv 1701.00998

TCDMATH 16-17. 

Intersection cohomology of moduli spaces of sheaves on surfaces by Jan Manschot and Sergey Mozgovoy.
link to arXiv 1612.07620

TCDMATH 16-16. 

Conformal higher spin scattering amplitudes from twistor space, by Tim Adamo, Philipp Haehnel, and Tristan McLoughlin.
link to arXiv 1611.06200

TCDMATH 16-15. 

Quark and gluon form factors to four loop order in QCD: the $N_f^3$ contributions by Andreas von Manteuffel and Robert M. Schabinger.
link to arXiv 1611.00795

TCDMATH 16-14. 

Multi-Soft gluon limits and extended current algebras at null-infinity, by Tristan McLoughlin and Dhritiman Nandan.
link to arXiv 1610.03841

TCDMATH 16-13. 

Formulas for Jacobi forms and generalized Frobenius partitions, by Kathrin Bringmann, Larry Rolen, Michael Woodbury.
link to arXiv 1610.01329

TCDMATH 16-12. 

On Divisors of Modular Forms, by Kathrin Bringmann, Ben Kane, Steffen Löbrich, Ken Ono, and Larry Rolen
link to arXiv 1609.08100

TCDMATH 16-11. 

Fast analytic solver of rational Bethe equations, by Christian Marboe and Dmytro Volin
link to arXiv 1608.06504

TCDMATH 16-10. 

Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in Nf=3 QCD, by Mattia Dalla Brida, Patrick Fritzsch, Tomasz Korzec, Alberto Ramos, Stefan Sint, and Rainer Sommer.
link to arXiv 1607.06423

TCDMATH 16-09. 

Indefinite theta series and generalized error functions, by Sergei Alexandrov, Sibasish Banerjee, Jan Manschot, and Boris Pioline.
link to arXiv 1606.05495

TCDMATH 16-08. 

Multiple D3-instantons and mock modular forms I, by Sergei Alexandrov, Sibasish Banerjee, Jan Manschot, and Boris Pioline.
link to arXiv 1605.05945

TCDMATH 16-07. 

Conformal Higher Spin Theory and Twistor Space Actions, by Philipp Haehnel and Tristan McLoughlin.
link to arXiv 1604.08209

TCDMATH 16-06. 

$I=1$ and $I=2\pi - \pi$ scattering phase shifts from $N_{\rm f} = 2+1$ lattice QCD, by John Bulava, Brendan Fahy, Ben Hörz, Keisuke J. Juge, Colin Morningstar, and Chik Him Wong.
link to arXiv 1604.05593

TCDMATH 16-05. 

Non-perturbative renormalization of the axial current in $N_f=3$ lattice QCD with Wilson fermions and tree-level improved gauge action, by John Bulava, Michele Della Morte, Jochen Heitger, and Christian Wittemeier.
link to arXiv 1604.05827

TCDMATH 16-04. 

The accuracy of QCD perturbation theory at high energies, by Mattia Dalla Brida, Patrick Fritzsch, Tomasz Korzec, Alberto Ramos, Stefan Sint, and Rainer Sommer.
link to arXiv 1604.06193

TCDMATH 16-03. 

On spectral cover equations in Simpson integrable systems by Anton A. Gerasimov and Samson L. Shatashvili.
link to arXiv 1603.05550

TCDMATH 16-02. 

The chirally rotated Schr\"odinger functional: theoretical expectations and perturbative tests, by Mattia Dalla Brida, Stefan Sint, and Pol Vilaseca.
link to arXiv 1603.00046

TCDMATH 16-01. 

Conformal Field Theories and Deep Inelastic Scattering, by Zohar Komargodski, Manuela Kulaxizi, Andrei Parnachev, and Alexander Zhiboedov.
link to arXiv 1601.05453

TCDMATH 15-l4. 

A Holographic Model of Quantum Hall Transition, by Andrea Mezzalira and Andrei Parnachev.
link to arXiv 1512.06052

TCDMATH 15-l3. 

Topological Entanglement Entropy, Ground State Degeneracy and Holography, by Andrei Parnachev and Napat Poovuttikul.
link to arXiv 1504.08244

TCDMATH 15-l2. 

Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations, by G. Arutyunov, S. Frolov, B. Hoare, R. Roiban, and A.A. Tseytlin.
link to arXiv 1511.05795

TCDMATH 15-11. 

A status update on the determination of $\Lambda\frac{N_{\rm f}=3}{\rm MS}$ by the ALPHA collaboration Mattia Dalla Brida, Patrick Fritzsch, Tomasz Korzec, Alberto Ramos, Stefan Sint, and Rainer Sommer.
link to arXiv 1511.05831

TCDMATH 15-10. 

On the Computation of Form Factors in Massless QCD with Finite Master Integrals, by Andreas von Manteuffel, Erik Panzer, and Robert M. Schabinger.
link to arXiv 1510.06758

TCDMATH 15-09. 

T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve, by Vladimir Kazakov, Sebastien Leurent, and Dmytro Volin.
link to arXiv 1510.02100

TCDMATH 15-08. 

Identities for generalized Appell functions and the blow-up formula Kathrin Bringmann, Jan Manschot, and Larry Rolen.
link to arXiv 1510.00630

TCDMATH 15-07. 

The asymptotic profile of $\chi_y$-genera of Hilbert schemes of points on K3 surfaces Jan Manschot and Jose Miguel Zapata Rolon
link to arXiv 1411.1093

TCDMATH 15-06. 

Symanzik improvement of the gradient flow in lattice gauge theories, by A. Ramos and S. Sint.
link to arXiv 1508.05552

TCDMATH 15-05. 

Puzzles of eta-deformed AdS_5 x S^5, by Gleb Arutyunov, Riccardo Borsato, and Sergey Frolov.
link to arXiv 1507.04239

TCDMATH 15-04. 

B-meson spectroscopy in HQET at order 1/m , by Fabio Bernardoni, Benoît Blossier, John Bulava, Michele Della Morte, Patrick Fritzsch, Nicolas Garron, Antoine Gérardin, Jochen Heitger, Georg von Hippel, and Hubert Simma.
link to arXiv 1505.03360

TCDMATH 15-03. 

Double-Soft Limits of Gluons and Gravitons, by Thomas Klose, Tristan McLoughlin, Dhritiman Nandan, and Jan Plefka.
link to arXiv 1504.05558

TCDMATH 15-02. 

Cuts and coproducts of massive triangle diagrams, by Samuel Abreu, Ruth Britto, and Hanna Gronqvist.
link to arXiv 1504.00206

TCDMATH 15-01. 

Non-perturbative improvement of the axial current in N_f=3 lattice QCD with Wilson fermions and tree-level improved gauge action, by John Bulava, Michele Della Morte, Jochen Heitger, and Christian Wittemeier
link to arXiv 1502.04999

TCDMATH 14-09. 

On O(a^2) effects in gradient flow observables, by Alberto Ramos and Stefan Sint.
link to arXiv 1411.6706

TCDMATH 14-08. 

An ACCL which is not a CRCL, by Colm Ó Dúnlaing.
link to arXiv 1411.5853

TCDMATH 14-07. 

Quantum spectral curve as a tool for a perturbative quantum field theory, by Christian Marboe and Dmytro Volin.
link to arXiv 1411.4758

TCDMATH 14-06. 

Bethe/Gauge correspondence on curved spaces, by Nikita A. Nekrasov and Samson L. Shatashvili.
link to arXiv 1405.6046

TCDMATH 14-05. 

Quantum spectral curve for arbitrary state/operator in AdS5/CFT4, by Nikolay Gromov, Vladimir Kazakov, Sebastien Leurent, and Dmytro Volin.
link to inspirep 1297246
link to arXiv 1405.4857

TCDMATH 14-04. 

Precision lattice QCD computation of the B* B pi coupling, by Fabio Bernardoni, John Bulava, Michael Donnellan, and Rainer Sommer.
link to arXiv 1404.6951

TCDMATH 14-03. 

Decay constants of B-mesons from non-perturbative HQET with two light dynamical quarks, by F. Bernardoni, B. Blossier, J. Bulava, M. Della Morte, P. Fritzsch, N. Garron, A. Gérardin, J. Heitger, G. von Hippel, H. Simma, and R. Sommer.
link to arXiv 1404.3590

TCDMATH 14-02. 

A Combined NNLO Lattice-Continuum Determination of $L_{10}^r$, by P.A. Boyle, L. Del Debbio, N. Garron, R.J. Hudspith, E. Kerrane, K. Maltman, and J.M. Zanotti.
link to arXiv 1403.6729

TCDMATH 14-01. 

Charmless chiral perturbation theory for N_f=2+1+1 twisted mass lattice QCD, by Oliver Bar and Ben Horz.
link to arXiv 1402.6145

TCDMATH 13-17. 
Quantum geometry and quiver gauge theories, by Nikita Nekrasov, Vasily Pestun, and Samson Shatashvili.
link to arXiv 1312.6689

TCDMATH 13-16. 
S-matrix for strings on $\eta$-deformed AdS5 x S5, by Gleb Arutyunov, Riccardo Borsato, and Sergey Frolov.
link to arXiv 1312.3542

TCDMATH 13-15. 
Compact families of Jordan curves and convex hulls in three dimensions, by Colm Ó Dúnlaing.
link to arXiv 1311.6331

TCDMATH 13-14. 
The b-quark mass from non-perturbative Nf=2 Heavy Quark Effective Theory at O(1/mh), by F. Bernardoni, B. Blossier, J. Bulava, M. Della Morte, P. Fritzsch, N. Garron, A. Gerardin, J. Heitger, G. von Hippel, H. Simma, and R. Sommer
link to arXiv 1311.5498

TCDMATH 13-13. 
Kaon Mixing Beyond the Standard Model, by A. T. Lytle, P. A. Boyle, N. Garron, R. J. Hudspith, and C. T. Sachrajda (the RBC-UKQCD Collaboration).
link to arXiv 1311.0322

TCDMATH 13-12. 
Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5, by Sergey Frolov, Martin Heinze, George Jorjadze, and Jan Plefka.
link to arXiv 1310.5052

TCDMATH 13-11. 
Toward the excited isoscalar meson spectrum from lattice QCD, by Jozef J. Dudek, Robert G. Edwards, Peng Guo, and Christopher E. Thomas.
link to arXiv 1309.2608

TCDMATH 13-10. 
B-physics with $N_f=2$ Wilson fermions, by F.Bernardoni, B.Blossier, J. Bulava, M. Della Morte, P. Fritzsch, N. Garron, A. Gerardin, J. Heitger, G. von Hippel, H. Simma, and R. Sommer.
link to arXiv 1309.1074

TCDMATH 13-09. 
Comments on World-Sheet Form Factors in AdS/CFT, by Thomas Klose and Tristan McLoughlin.
link to arXiv 1307.3506

TCDMATH 13-08. 
The kaon semileptonic form factor with near physical domain wall quarks, by Peter A. Boyle, Jonathan M. Flynn, Nicolas Garron, Andreas Juttner, Chris T. Sachrajda, Karthee Sivalingam, and James M. Zanotti.
link to arXiv 1305.7217

TCDMATH 13-07. 
Free field representation and form factors of the chiral Gross-Neveu model, by Stephen Britton and Sergey Frolov.
link to arXiv 1305.6252

TCDMATH 13-06. 
Improvement of N_f=3 lattice QCD with Wilson fermions and tree-level improved gauge action, by John Bulava and Stefan Schaefer.
link to arXiv 1304.7093

TCDMATH 13-05. 
Worked solutions to selected problems from the ACM International Collegiate Programming Contest (ICPC), by Colin Dooley, Stiofáin Fordham, and Colm Ó Dúnlaing.
abstract pdf

TCDMATH 13-04. 
On the B*' --> B transition, by Benoît Blossier, John Bulava, Michael Donnellan, and Antoine Gérardin.
link to arXiv 1304.3363

TCDMATH 13-03. 
Menelaus' Theorem, Weil Reciprocity, and a generalisation to algebraic curves, by Eoin Ó Murchadha.
abstract pdf

TCDMATH 13-02. 
Extended hadron and two-hadron operators of definite momentum for spectrum calculations in lattice QCD, by C. Morningstar, J. Bulava, B. Fahy, J. Foley, Y.C. Jhang, K.J. Juge, D. Lenkner, and C.H. Wong.
link to arXiv 1303.6816

TCDMATH 13-01. 
Excited spectroscopy of charmed mesons from lattice QCD, by Graham Moir, Michael Peardon, Sinead M. Ryan, Christopher E. Thomas, and Liuming Liu.
link to arXiv 1301.7670

TCDMATH 12-13. 
Weak Matrix Elements of Beyond the Standard Model $\Delta s=2$ four-quark operators from $n_f=2+1$ Domain-Wall fermions, by Nicolas Garron, Peter A Boyle, Renwick J Hudspith, and Andrew T Lytle.
link to arXiv 1212.2871

TCDMATH 12-12. 
Emerging understanding of the $\Delta I = 1/2$ Rule from Lattice QCD, by P. A. Boyle, N. H. Christ, N. Garron, E. J. Goode, T. Janowski, C. Lehner, Q. Liu, A. T. Lytle, C. T. Sachrajda, A. Soni, D. Zhang, for the RBC Collaboration, for the UKQCD Collaboration.
link to arXiv 1212.1474

TCDMATH 12-11. 
Excited states in Bethe ansatz solvable models and the dressing of spin and charge, by Eoin Quinn and Sergey Frolov.
link to arXiv 1211.5503

TCDMATH 12-10. 
Energy dependence of the $\rho$ resonance in $\pi\pi$ elastic scattering from lattice QCD, by Jozef J. Dudek, Robert G. Edwards, and Christopher E. Thomas.
link to arXiv 1212.0830

TCDMATH 12-09. 
B-physics from HQET in two-flavour lattice QCD, by F. Bernardoni, B. Blossier, J. Bulava, M. Della Morte, P. Fritzsch, N. Garron, A. Gérardin, J. Heitger, G. von Hippel, H. Simma, and R. Sommer.
link to arXiv 1210.7932

TCDMATH 12-08. 
B-physics from non-perturbatively renormalized HQET in two-flavour lattice QCD, by Fabio Bernardoni, Benoit Blossier, John Bulava, Michele Della Morte, Patrick Fritzsch, Nicolas Garron, Antoine Gerardin, Jochen Heitger, Georg M. von Hippel, and Hubert Simma.
link to arXiv 1210.6524

TCDMATH 12-07. 
Universally reversible JC*-triples and operator spaces, by Leslie J. Bunce and Richard M. Timoney.
link to arXiv 1209.6067

TCDMATH 12-06. 
Neutral kaon mixing beyond the standard model with $n_f=2+1$ chiral fermions, by P. A. Boyle, N. Garron, and R. J. Hudspith.
link to arXiv 1206.5737

TCDMATH 12-05. 
Exceptional Operators in $N=4$ super Yang-Mills, by Gleb Arutyunov, Sergey Frolov, Alessandro Sfondrini
link to arXiv 1205.6660

TCDMATH 12-04. 
Excited and exotic charmonium spectroscopy from lattice QCD, by Liuming Liu, Graham Moir, Michael Peardon, Sinéad M. Ryan, Christopher E. Thomas, Pol Vilaseca, Jozef J. Dudek, Robert G. Edwards, Bálint Joó, and David G. Richards
link to arXiv 1204.5425

TCDMATH 12-03. 
S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD, by Jozef J. Dudek, Robert G. Edwards, and Christopher E. Thomas
link to arXiv 1203.6041

TCDMATH 12-02. 
CUDA implementation of Wagener's 2D convex hull PRAM algorithm, by Colm Ó Dúnlaing
link to arXiv 1203.5004

TCDMATH 12-01. 
Scaling dimensions from the mirror TBA, by Sergey Frolov
link to arXiv 1201.2317

TCDMATH 11-14. 
Hubbard-Shastry lattice models, by Sergey Frolov and Eoin Quinn
link to arXiv 1111.5304

TCDMATH 11-13. 
A note on the local hull of holomorphy of a real submanifold MCN+1 with a CR singularity, by Valentin Burcea
abstract pdf

TCDMATH 11-12. 
Bound States in the Mirror TBA, by Gleb Arutyunov, Sergey Frolov, Stijn J. van Tongeren
link to arXiv 1111.0564

TCDMATH 11-11. 
Einstein's equivalence principle and the gravitational red shift, by Petros S. Florides 
abstract pdf

TCDMATH 11-10. 
Quantisation revisited: a mathematical and computational model, by Declan Murphy 
abstract pdf

TCDMATH 11-09. 
Polynomial Filtered HMC -- an algorithm for lattice QCD with dynamical quarks, by Waseem Kamleh and Mike Peardon 
link to arXiv 1106.5625 

TCDMATH 11-08. 
An O(a) modified lattice set-up of the Schrödinger functional in SU(3) gauge theory, by Paula Pérez-Rubio, Stefan Sint, and Shinji Takeda 
link to arXiv 1105.0110 

TCDMATH 11-07. 
A normal form for a real 2-codimensional submanifold in CN+1 near a CR singularity, by Valentin Burcea 
abstract pdf

TCDMATH 11-06. 
Haldane limits via Lagrangian embeddings, by Dmitri Bykov 
link to arXiv 1104.1419 [hep-th] 

TCDMATH 11-05. 
Darboux coordinates, Yang-Yang functional, and gauge theory, by Nikita Nekrasov, Alexey Rosly, and Samson Shatashvili 
link to arXiv 1103.3919 

TCDMATH 11-04. 
Comments on the mirror TBA, by Gleb Arutyunov and Sergey Frolov 
link to arXiv 1103.2708 

TCDMATH 11-03 
Fermionic screening operators in the sine-Gordon model, by M. Jimbo, T. Miwa, and F. Smirnov 
link to arXiv 1103.1534 

TCDMATH 11-02. 
Isoscalar meson spectroscopy from lattice QCD, by Jozef J. Dudek, Robert G. Edwards, Balint Joo, Michael J. Peardon, David G. Richards, and Christopher E. Thomas 
link to arXiv 1102.4299 

TCDMATH 11-01. 
Title: Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces, by Sergey A. Cherkis, Clare O'Hara, and Christian Saemann 
abstract pdf

TCDMATH 10-09. 
The phase-shift of isospin-2 pi-pi scattering from lattice QCD, by Jozef J. Dudek, Robert G. Edwards, Michael J. Peardon, David G. Richards, and Christopher E. Thomas 
link to arXiv 1011.6352 

TCDMATH 10-08. 
Singular Monopoles from Cheshire Bows, by Chris D. A. Blair and Sergey A. Cherkis 
abstract pdf

TCDMATH 10-07. 
The chirally rotated Schroedinger functional with Wilson fermions and automatic O(a) improvement, by Stefan Sint 
link to arXiv 1008.4857 

TCDMATH 10-06. 
One monopole with $k$ singularities, by Chris D. A. Blair and Sergey A. Cherkis 
abstract pdf

TCDMATH 10-05. 
Konishi operator at intermediate coupling, by Sergey Frolov 
link to arXiv 1006.5032 

TCDMATH 10-04. 
Instantons on Gravitons, by Sergey A. Cherkis 
abstract pdf

TCDMATH 10-03. 
Toward the excited meson spectrum of dynamical QCD, by Jozef J. Dudek, Robert G. Edwards, Michael J. Peardon, David G. Richards, and Christopher E. Thomas 
link to arXiv 1004.4930 [hep-ph] 

TCDMATH 10-02. 
The worldsheet low-energy limit of the AdS_4 x CP^3 superstring, by Dmitri Bykov
link to arXiv 1003.2199 [hep-th] 

TCDMATH 10-01. 
Title: Five-loop Konishi from the Mirror TBA by Gleb Arutyunov, Sergey Frolov, and Ryo Suzuki 
link to arXiv 1002.1711 

TCDMATH 09-24. 
Exploring the mirror TBA, by Gleb Arutyunov, Sergey Frolov, and Ryo Suzuki 
link to arXiv 0911.2224 

TCDMATH 09-23. 
Physical charges in QED and QCD. by Anton Ilderton, Martin Lavelle, and David McMullan 
link to arXiv 0910.5395 

TCDMATH 09-22. 
An anisotropic preconditioning for the Wilson fermion matrix on the lattice, by Balint Joo, Robert G. Edwards, and Michael J. Peardon 
link to arXiv 0910.0992 [hep-th] 

TCDMATH 09-21. 
New regular non compact Calabi-Yau metrics in D=6, by Osvaldo P. Santillan 
link to arXiv 0909.1718 [hep-th] 

TCDMATH 09-20. 
Laser intensity effects in noncommutative QED, by Thomas Heinzl, Anton Ilderton, and Mattias Marklund 
link to arXiv 0909.0656 [hep-ph] 

TCDMATH 09-19. 
Quantization of Integrable Systems and Four Dimensional Gauge Theories, by Nikita A. Nekrasov and Samson L. Shatashvili 
link to arXiv 0908.4052 

TCDMATH 09-18. 
Stability, creation and annihilation of charges in gauge theories, Anton Ilderton, Martin Lavelle, and David McMullan 
link to arXiv 0907.4071 [hep-th]

TCDMATH 09-17. 
Simplified TBA equations of the AdS_5 x S^5 mirror model, by Gleb Arutyunov and Sergey Frolov 
link to arXiv 0907.2647 [hep-th] 

TCDMATH 09-16. 
Bound State Transfer Matrix for AdS5 x S5 Superstring, by Gleb Arutyunov, Marius de Leeuw, Ryo Suzuki, and Alessandro Torrielli 
link to arXiv 0906.4783 [hep-th] 

TCDMATH 09-15. 
Marginal Deformations and 3-Algebra Structures, by Nikolas Akerblom, Christian Saemann, and Martin Wolf 
link to arXiv 0906.1705 

TCDMATH 09-14. 
Temperature quantization from the TBA equations, by Sergey Frolov and Ryo Suzuki 
link to arXiv 0906.0499 

TCDMATH 09-13. 
A novel quark-field creation operator construction for hadronic physics in lattice QCD, by Michael Peardon, John Bulava, Justin Foley, Colin Morningstar, Jozef Dudek, Robert G. Edwards, Balint Joo, Huey-Wen Lin, David G. Richards, and Keisuke Jimmy Juge 
link to arXiv 0905.2160 [hep-lat]

TCDMATH 09-12. 
The Dressing Factor and Crossing Equations, by Gleb Arutyunov and Sergey Frolov 
link to arXiv 0904.4575 

TCDMATH 09-11. 
Off-shell symmetry algebra of the AdS_4 x CP^3 superstring, by Dmitri Bykov
link to arXiv 0904.0208 

TCDMATH 09-10. 
Signatures of high-intensity Compton scattering, by Chris Harvey, Thomas Heinzl, and Anton Ilderton 
link to arXiv 0903.4151 [hep-th] 

TCDMATH 09-09. 
Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model, by Gleb Arutyunov and Sergey Frolov 
link to arXiv 0903.0141 [hep-th] 

TCDMATH 09-08. 
Instantons on the Taub-NUT Space, by Sergey A. Cherkis 
abstract pdf

TCDMATH 09-07. 
Giant Magnons on CP^3 by Dressing Method, by Ryo Suzuki 
link to arXiv 0902.3368 

TCDMATH 09-06. 
Foundations of the AdS5 x S5 Superstring, Part I, by Gleb Arutyunov and Sergey Frolov 
link to arXiv 0901.4937 

TCDMATH 09-05. 
Quantum integrability and supersymmetric vacua, by Nikita A. Nekrasov and Samson L. Shatashvili 
link to arXiv 0901.4748 

TCDMATH 09-04. 
Supersymmetric vacua and Bethe ansats, by Nikita A. Nekrasov and Samson L. Shatashvili 
link to arXiv 0901.4744 

TCDMATH 09-03. 
Strong Homotopy Lie Algebras, Generalized Nahm Equations and Multiple M2-branes, by Calin I. Lazaroiu, Daniel McNamee, Christian Saemann, and Aleksandar Zejak 
link to arXiv 0901.3905 

TCDMATH 09-02. 
New Spin(7) holonomy metrics admitting $G_2$ holonomy reductions and M-theory/IIA dualities, by Sema Salur and Osvaldo Santillan. 
abstract postscript pdf

TCDMATH 09-01. 
String hypothesis for the AdS_5 x S^5 mirror by Gleb Arutyunov and Sergey Frolov 
link to arXiv 0901.1417 [hep-th] 

TCDMATH 08-20. 
Gröbner bases for operads, by Vladimir Dotsenko and Anton Khoroshkin 
link to arXiv 0812.4069 

TCDMATH 08-19. 
On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification, by Sergey Cherkis, Vladimir Dotsenko, and Christian Saemann 
link to arXiv 0812.3127 

TCDMATH 08-18. 
Finding community structures in networks by playing pass-the-parcel, by Conor Houghton 
abstract pdf

TCDMATH 08-17. 
Generalized Berezin-Toeplitz quantization of Kaehler supermanifolds, by Calin Lazaroiu, Daniel McNamee and Christian Saemann 
link to arXiv 0811.4743 [hep-th] 

TCDMATH 08-16. 
A parameter uniform finite difference method for multiscale singularly perturbed linear dynamical systems, by S. Valarmathi and John J.H. Miller 
abstract pdf

TCDMATH 08-15. 
Unparticle actions and gauge invariance, by Anton Ilderton 
link to arXiv 0810.3916 [hep-th] 

TCDMATH 08-14. 
Fermionic correlation functions from the staggered Schrödinger functional, by Paula Pérez Rubio and Stefan Sint 
link to arXiv 0810.3866 [hep-lat] 

TCDMATH 08-13 
First results from 2 + 1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass, by Huey-Wen Lin, Saul D. Cohen, Jozef Dudek, Robert G. Edwards, Balint Joo, David G. Richards, John Bulava, Justin Foley, Colin Morningstar, Eric Engelson, Stephen Wallace, K. Jimmy Juge, Nilmani Mathur, Michael J. Peardon and Sinead M. Ryan 
link to arXiv 0810.3588 [hep-lat] 

TCDMATH 08-12. 
Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3, by Authors: Luis F. Alday, Gleb Arutyunov, and Dmitri Bykov. 
link to xxx.lanl.gov/abs/0807.4400

TCDMATH 08-11. 
A Parameter-Uniform Finite Difference Method for a Singularly Perturbed Initial Value Problem: a Special Case, by P. Maragatha Meenakshi, S. Valarmathi, and J.J.H. Miller. 
abstract pdf

TCDMATH 08-10. 
Multiple M2-branes and Generalized 3-Lie algebras, by Sergey Cherkis and Christian Saemann. 
link to arXiv 0807.0808 [hep-th] 

TCDMATH 08-09. 
Finite-Size Effects for Multi-Magnon States, by Yasuyuki Hatsuda and Ryo Suzuki. 
link to arXiv 0807.0643 [hep-th] 

TCDMATH 08-08. 
Superstrings on AdS_4 x CP^3 as a Coset Sigma-model, by Gleb Arutyunov and Sergey Frolov. 
link to arXiv 0806.4940 [hep-th]

TCDMATH 08-07. 
Studying spike trains using a van Rossum metric with a synapse-like filter, by Conor Houghton. 
abstract pdf

TCDMATH 08-06. 
Giant magnons in TsT-transformed AdS5 x S5, by Dmitri V. Bykov and Sergey Frolov 
link to arXiv 0805.1070 

TCDMATH 08-05. 
Moduli Spaces of Instantons on the Taub-NUT Space, by Sergey A. Cherkis 
abstract pdf

TCDMATH 08-04. 
Title: Generalized Berezin quantization, Bergman metrics and fuzzy Laplacians, by Calin Iuliu-Lazaroiu, Daniel McNamee and Christian Saemann 
link to arXiv 0804.4555 

TCDMATH 08-03. 
The S-matrix of String Bound States, by Gleb Arutyunov and Sergey Frolov. 
link to arXiv 0803.4323 [hep-th]

TCDMATH 08-02. 
Negative-Tension Branes and Tensionless 1/2 Brane in Boundary Conformal Field Theory, by Akira Ishida, Chanju Kim, Yoonbai Kim, and O-Kab Kwon. 
link to arXiv 0801.3455 

TCDMATH 08-01. 
Marginally Deformed Rolling Tachyon around the Tachyon Vacuum in Open String Field Theory, by O-Kab Kwon 
link to arXiv 0801.0573 [hep-th]

TCDMATH 07-26. 
From planar graph layout to flat embeddings of 2-complexes, by Colm Ó Dúnlaing. 
abstract postscript pdf

TCDMATH 07-25. 
A normal-form theorem for monoids and groups with the single relation xy<->yx by Michael Batty, Colm Ó Dúnlaing, and Claas Röver. 
abstract postscript pdf

TCDMATH 07-24. 
A simple bound for sequential access in splay trees, by Colm Ó Dúnlaing. 
abstract postscript pdf

TCDMATH 07-23. 
Singular Monopoles via the Nahm Transform, by Sergey Cherkis and Brian Durcan. 
abstract pdf

TCDMATH 07-22. 
The 't Hooft-Polyakov Monopole in the Presence of an 't Hooft Operator, by Sergey Cherkis and Brian Durcan. 
abstract pdf

TCDMATH 07-21. 
Two-dimensional Gauge Theories and Quantum Integrable Systems by Anton A. Gerasimov and Samson L. Shatashvili. 
link to arXiv 0711.1472 [hep-th] 

TCDMATH 07-20. 
Test of the Schrödinger functional with chiral fermions in the Gross-Neveu model, by Björn Leder. 
abstract pdf

TCDMATH 07-19. 
Charmonium properties in the quark-gluon plasma, by M.B. Oktay, M.J. Peardon, J.I. Skullerud, G. Aarts, and C.R. Allton 
link to arXiv 0710.2795 

TCDMATH 07-18. 
Hadron Spectrum in a Two-Colour Baryon-Rich Medium, by Simon Hands, Peter Sitch, Jon-Ivar Skullerud 
link to arXiv 0710.1966 

TCDMATH 07-17. 
Charmonium at high temperature in two-flavor QCD, by Gert Aarts, Chris Allton, Mehmet Bu?rahan Oktay, Mike Peardon, and Jon-Ivar Skullerud 
abstract postscript pdf

TCDMATH 07-16. 
Obstructions to embeddability into hyperquadrics and explicit examples by Dmitri Zaitsev 
abstract postscript pdf

TCDMATH 07-15. 
On String S-matrix, Bound States and TBA, by Gleb Arutyunov and Sergey Frolov 
link to www.arxiv.org/abs/0710.1568 [hep-th]

TCDMATH 07-14. 
Enhanced neural discrimination of sensory stimuli using an adaptive spike distance, by Conor Houghton and Kamal Sen. 
abstract pdf

TCDMATH 07-13. 
The SF running coupling with four flavours of staggered quarks, by Paula Pérez Rubio and Stefan Sint 
abstract pdf

TCDMATH 07-12. 
Fluctuations around the tachyon vacuum in open string field theory, by O-Kab Kwon, Bum-Hoon Lee, Changyong Park, and Sang-Jin Sin 
link to arxiv.org/abs/0709.2888 

TCDMATH 07-11. 
Parameter--Uniform Finite Difference Method for a Singularly Perturbed Linear Dynamical System, by P.Maragatha Meenakshi, T.Bhuvaneswari, S.Valarmathi, and J.J.H.Miller 
abstract postscript pdf
TCDMATH 07-10. 
Remarks on Jurdzi?ski and Lory?' proof that palindromes are not a Church-Rosser language, by Colm Ó Dúnlaing and Natalie Schluter 
link to arXiv 0710.4499 

TCDMATH 07-09. 
The flavour projection of staggered fermions and the quarter-root trick, by Steven Watterson 
link to arxiv.org/abs/0706.2090 [hep-lat]> 

TCDMATH 07-08. 
Instantons and Supersymmetry, by Massimo Bianchi, Stefano Kovacs, and Giancarlo Rossi. 
link to hep-th/0703142> 

TCDMATH 07-07. 
Givental integral representation for classical groups, by A. Gerasimov, D. Lebedev, and S. Oblezin. 

TCDMATH 07-06. 
Baxter Q-operator and Givental integral representation for $C_n$ and $D_n$, by A. Gerasimov, D. Lebedev, and S. Oblezin. 

TCDMATH 07-05. 
Higgs Bundles, Gauge Theories and Quantum Groups by Anton A. Gerasimov and Samson L. Shatashvili. 
link to hep-th/0609024 

TCDMATH 07-04. 
Lectures on topological quantum field theories and some modern problems of mathematics by Samson L. Shatashvili. 
abstract Part 1 (pdf) Part 2 (pdf)

TCDMATH 07-03. 
Flavour symmetry restoration and kaon weak matrix elements in quenched twisted mass QCD, by P. Dimopoulos, J. Heitger, F. Palombi, C. Pena, S. Sint, and A. Vladikas 
link to hep-lat/0702017

TCDMATH 07-02. 
Lattice QCD with a chiral twist, by Stefan Sint 
link to hep-lat/0702008

TCDMATH 07-01. 
Proof of ultra-violet finiteness for a planar non-supersymmetric Yang-Mills theory, by Sudarshan Ananth, Stefano Kovacs, and Hidehiko Shimada 
link to hep-th/0702020

TCDMATH 06-18. 
The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring, by Gleb Arutyunov, Sergey Frolov, and Marija Zamaklar. 
link to hep-th/0612229

TCDMATH 06-17.
Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT, by S. Frolov, A. Tirziu, and A.A. Tseytlin. 
link to hep-th/06011269

TCDMATH 06-16. 
Nodally 3-connected planar graphs and convex combination mappings, by Colm Ó Dúnlaing. 
link to arxiv.org/abs/0708.0964 

TCDMATH 06-15. 
Quark-gluon vertex in general kinematics, by Ay?e K?z?lersü, Derek B. Leinweber, Jon-Ivar Skullerud, and Anthony G. Williams 
abstract pdf

TCDMATH 06-14. 
A new multineuron spike train metric, by Conor Houghton and Kamal Sen 
Link to Neural computation, June 2008. 

TCDMATH 06-13 
The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring, by Gleb Arutyunov, Sergey Frolov, Jan Plefka, and Marija Zamaklar 
link to hep-th/0609157

TCDMATH 06-12 
Proof of all-order finiteness for planar beta-deformed Yang-Mills, by Sudarshan Ananth, Stefano Kovacs, and Hidehiko Shimada 
link to hep-th/0609149

TCDMATH 06-11 
Higgs Bundles, Gauge Theories and Quantum Groups, by Anton A. Gerasimov and Samson L. Shatashvili
link to hep-th/0609024

TCDMATH 06-10 
On the non-commutative geometry of topological D-branes, by C. I. Lazaroiu 
link to hep-th/0507222

TCDMATH 06-09 
D-brane effective action and tachyon condensation in topological minimal models, by M. Herbst, C. I. Lazaroiu, and W. Lerche 
link to hep-th/0405138

TCDMATH 06-08 
Localization and traces in open-closed topological Landau-Ginzburg models, by M. Herbst and C. I. Lazaroiu 
link to hep-th/0404184

TCDMATH 06-07 
Superpotentials, A-infinity Relations and WDVV Equations for Open Topological Strings, M. Herbst, C. I. lazaroiu, and W. Lerche 
link to hep-th/0402110

TCDMATH 06-06 
C. I. Lazaroiu, On the boundary coupling of topological Landau-Ginzburg models 
link to hep-th/0312286

TCDMATH 06-05. 
Dynamical QCD simulations on anisotropic lattices, by Richie Morrin, Alan Ó Cais, Mike Peardon, Sinéad M. Ryan, and Jon-Ivar Skullerud 
abstract postscript pdf

TCDMATH 06-04. 
Deconfinement in dense 2-colour QCD, by Simon Hands, Seyong Kim, Jon-Ivar Skullerud 
abstract postscript pdf

TCDMATH 06-03. 
A New Hypothesis for Sleep: Tuning for Criticality, by Barak A. Pearlmutter and Conor J. Houghton 
abstract pdf

TCDMATH 06-02. 
The effect of pion mass on Skyrme configurations, by Conor Houghton and Shane Magee 
link to hep-th/0602227

TCDMATH 06-01. 
Noncommutative moduli spaces of topological D-branes, by Calin Lazaroiu 
abstract postscript pdf

TCDMATH 05-10. 
Nodally 3-connected planar graphs and barycentric embeddings, by Colm Ó Dúnlaing. 
abstract postscript pdf

TCDMATH 05-09. 
Distributing the chiral and flavour components of Dirac-Kahler fermions across multiple lattices, by Steven Watterson and James Sexton. 
abstract postscript pdf

TCDMATH 05-08. 
A zero-mode quantization of the Skyrmion, by Conor Houghton and Shane Magee 
abstract postscript pdf

TCDMATH 05-07. 
Towards Integrability of Topological Strings by A. Gerasimov 
abstract postscript pdf

TCDMATH 05-06. 
On a Gauss-Givental Representation of Quantum Toda Chain Wave Function, by A. Gerasimov, S. Kharchev, D. Lebedev and S. Oblezin. 
abstract postscript pdf

TCDMATH 05-05. 
Practical all-to-all propagators for lattice QCD, by Justin Foley, K. Jimmy Juge, Alan Ó Cais, Mike Peardon, Sinéad M. Ryan, and Jon-Ivar Skullerud 
abstract postscript pdf

TCDMATH 05-04. 
Doubly Periodic Instanton Zero Modes, by C. Ford and J.M. Pawlowski 
abstract postscript pdf

TCDMATH 05-03. 
Partial Hiding in Public-Key Cryptography, by Eabhnat Ni Fhloinn and Michael Purser. 
abstract postscript pdf

TCDMATH 05-02. 
Geometry and Physics of Instantons, by Samson L. Shatashvili. 
abstract postscript pdf

TCDMATH 05-01. 
On a class of representations of quantum groups, by A. Gerasimov, S. Kharchev, D. Lebedev, and S. Oblezin. 
abstract postscript pdf

TCDMATH 04-23. 
Factorization Conjecture and the Open/Closed String Correspondence by Marcus Baumgartl, Ivo Sachs, and Samson L. Shatashvili 
abstract postscript pdf

TCDMATH 04-22. 
Gravitational Instantons of Type Dk, by Sergey A. Cherkis and Nigel J. Hitchin. 
abstract postscript pdf

TCDMATH 04-21. 
Optimal Voronoi diagram construction with n convex sites in three dimensions, by Paul Harrington, Colm Ó Dúnlaing, and Chee K. Yap. 
abstract postscript pdf

TCDMATH 04-20. 
Semiclassical Shor's Algorithm, by Paolo Giorda, Alfredo Iorio, Samik Sen, and Siddhartha Sen. 
abstract postscript pdf

TCDMATH 04-19. 
The appearance of the resolved singular hypersurface {x_0}{x_1}-x_2}^n} =0 in the classical phase space of the Lie group SU(n), by Samir K. Paul and Siddhartha Sen. 
abstract postscript pdf

TCDMATH 04-18. 
New results on cut-off effects in spectroscopy with the fixed point action, by Peter Hasenfratz, Keisuke Jimmy Juge, and Ferenc Niedermayer. 
abstract postscript pdf
TCDMATH 04--18

TCDMATH 04-17. 
A path-integral representation of the free one-flavour staggered-fermion determinant by Francesca Maresca and Mike Peardon. 
abstract postscript pdf

TCDMATH 04-16. 
Pure Spinors are Higher-Dimensional Twistors by Nathan Berkovits and Sergey A. Cherkis 
abstract postscript pdf

TCDMATH 04-15. 
On a class of representations of the Yangian and moduli space of monopoles by A. Gerasimov, S. Kharchev, D. Lebedev and S. Oblezin. 
abstract postscript pdf

TCDMATH 04-14. 
Towards Integrability of Topological Strings I: Three-forms on Calabi-Yau manifolds, by Anton A. Gerasimov and Samson L. Shatashvili. 
abstract postscript pdf

TCDMATH 04-13. 
Lie group structures on groups of diffeomorphisms and applications to CR manifolds, by M.S. Baouendi, L.P. Rothschild, J. Winkelmann, and D. Zaitsev. 
abstract postscript pdf

TCDMATH 04-12. 
A Reynolds and Prandtl uniform numerical method for Prandtl's boundary layer problem for flow past a wedge with heat transfer, by J.S. Butler, J.J.H. Miller, and G.I. Shishkin. 
abstract postscript pdf

TCDMATH 04-11. 
A Reynolds uniform numerical method for Prandtl's boundary layer problem for flow past a three dimensional yawed wedge, by J.S. Butler, J.J.H. Miller, and G.I. Shishkin. 
abstract postscript pdf

TCDMATH 04-10. 
Analytic Smearing of SU(3) Link Variables in Lattice QCD, by Colin Morningstar and Mike Peardon 
abstract pdf

TCDMATH 04-09. 
Non perturbative study of QCD on a 2+2 anisotropic lattice, by Giuseppe Burgio, Alessandra Feo, Mike Peardon, and Sinead M. Ryan 
abstract pdf

TCDMATH 04-08. 
Glueball Matrix Elements on Anisotropic Lattices, by Y. Chen, S.-J. Dong, T. Draper, I. Horvath, F.-X. Lee, N. Mathur, C. Morningstar, M. Peardon, S. Tamhankar, B.L. Young, and J.-B. Zhang 
abstract pdf

TCDMATH 04-07. 
Excitations of the torelon, by K.J. Juge, J. Kuti, F. Maresca, C. Morningstar, and M. Peardon 
abstract pdf

TCDMATH 04-06. 
Chiral Dirac fermions on the lattice using Geometric Discretisation, by Vivien de Beauce, Samik Sen, and James C. Sexton 
abstract pdf

TCDMATH 04-05. 
Heavy hadrons on an anisotropic lattice, by Justin Foley, Alan O Cais, Mike Peardon, and Sinead M. Ryan 
abstract pdf

TCDMATH 04-04. 
The 2+2 anisotropic Wilson gluon action with applications, by Giuseppe Burgio, Alessandra Feo, Mike Peardon, and Sinead M. Ryan 
abstract pdf

TCDMATH 04-03. 
Gauge Theories on a 2+2 Anisotropic Lattice Giuseppe Burgio Alessandra Feo Mike Peardon Sinead M. Ryan 
abstract pdf

TCDMATH 04-02. 
A New Criterion and Method for Amino Acid Classification, by Carolin Kosiol, Nick Goldman, and Nigel H. Buttimore. 
abstract pdf

TCDMATH 04-01. 
Grid Approximation of Singularly Perturbed Elliptic Convection-Diffusion Equations in Unbounded Domains, by Grigory I. Shishkin. 
abstract pdf

TCDMATH 03-09. 
Local differentiability and monotonicity properties of Voronoi diagrams for disjoint convex sites in three dimensions, by Colm Ó Dúnlaing. 
abstract postscript pdf

TCDMATH 03-08. 
Improved $\leps$-uniform Accurate Schemes for Singularly Perturbed Elliptic Convection-Diffusion 3D Problems. The Richardson Extrapolation Technique by Grigory I. Shishkin. 
abstract postscript pdf

TCDMATH 03-07. 
Improved $\leps$-uniform Accurate Schemes for Singularly Perturbed Parabolic Convection-Diffusion Problems. Defect-Correction Technique by Pieter W. Hemker, Grigory I. Shishkin, and Lidia P. Shishkina. 
abstract postscript pdf

TCDMATH 03-06. 
A Reynolds--uniform numerical method for Prandtl's boundary layer problem for flow past a plate with mass transfer, by J.S. Butler, J.J.H Miller and G.I. Shishkin. 
abstract postscript pdf

TCDMATH 03-05. 
A Reynolds--uniform numerical method for Prandtl's boundary layer problem for flow past a wedge, by J.S. Butler, J.J.H Miller and G.I. Shishkin. 
abstract postscript pdf

TCDMATH 03-04. 
Pulsation and Precession of the Resonant Swinging Spring, by Peter Lynch and Conor Houghton 
abstract postscript pdf
TCDMATH 03-03. 
Numerical Techniques for Flow Problems with Singularities, by Paul A. Farrell, Alan F. Hegarty, John J.H. Miller, Eugene O'Riordan, and Grigorii I. Shishkin. 
abstract postscript pdf

TCDMATH 03-02. 
Domain Decomposition Method for a Singularly Perturbed Quasilinear Parabolic Convection-Diffusion Equation, by P.W. Hemker, G.I. Shishkin, and L.P. Shishkina. 
abstract postscript pdf

TCDMATH 03-01. 
On Conditioning of a Schwarz Method for Singularly Perturbed Convection-Diffusion Equations in the Case of Disturbances in the Data of the Boundary Value Problem, by G.I. Shishkin. 
abstract postscript pdf

TCDMATH 02-07. 
Inorder traversal of splay trees, by Colm Ó Dúnlaing 
abstract postscript pdf

TCDMATH 02-06. 
Recent fileystem optimisations in FreeBSD, by Ian Dowse and David Malone 
abstract postscript pdf

TCDMATH 02-05. 
Grid Approximation of Multiscale Problem Arising in Singularly Perturbed Parabolic Reaction-Diffusion Equations in an Unbounded Domain, by J.J.H. Miller, R.E. O'Malley, and G.I. Shishkin 
abstract postscript pdf

TCDMATH 02-04. 
High-Order Accurate Decomposition Methods Based on Richardson's Extrapolation for a Singularly Perturbed Elliptic Reaction-Diffusion Equation on a Strip, by P.W. Hemker, G.I. Shishkin, and L.P. Shishkina 
abstract postscript pdf

TCDMATH 02-03. 
Variations on a theme of Kaplansky, by Robin Harte 
abstract postscript pdf

TCDMATH 02-02. 
Limitations of Adaptive Mesh Refinement Methods for a Singularly Perturbed Parabolic Equation in a Composed Domain with a Concentrated Source on the Moving Interface Boundary, by G.I. Shishkin. 
abstract postscript pdf

TCDMATH 02-01. 
Grid Approximation of a Singularly Perturbed Boundary Value Problem Modelling Heat Transfer in the Case of Flow over a Flat Plate with Suction of the Boundary Layer, by J.J.H. Miller, G.I. Shishkin, L.P. Shishkina, and B. Koren. 
abstract postscript pdf

TCDMATH 01-17. 
Density of partition function zeroes and phase transition strength, by W. Janke and R. Kenna
abstract postscript pdf

TCDMATH 01-16. 
Approximation of Solutions and Derivatives for Singularly Perturbed Elliptic Convection-Diffusion Equations, by Grigorii I. Shishkin
abstract postscript pdf

TCDMATH 01-15. 
Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions, by W. Janke and R. Kenna
abstract postscript pdf

TCDMATH 01-14. 
Phase transition strengths from the density of partition function zeroes, by W. Janke and R. Kenna
abstract postscript pdf

TCDMATH 01-13. 
On skew exactness perturbation, by Robin Harte and David Larson
abstract postscript pdf

TCDMATH 01-12. 
An Arens-Royden Laugh In, by Robin Harte
abstract postscript pdf

TCDMATH 01-11. 
Solutions to dilation equations, by David Malone
abstract postscript pdf

TCDMATH 01-10. 
Compact semigroups of positive matrices, by T.T. West
abstract postscript pdf

TCDMATH 01-09. 
Touché Rouché, by Robin Harte and Gary Keogh
abstract postscript pdf

TCDMATH 01-08. 
Stepwise Precession of the Resonant Swinging Spring, by Darryl D Holm and Peter Lynch
abstract postscript pdf

TCDMATH 01-07. 
Enumeration of tree properties by naïve methods, by Lars Ericson and Colm Ó Dúnlaing
abstract postscript pdf

TCDMATH 01-06. 
The Weakly Coupled Gross-Neveu Model with Wilson Fermions, by R. Kenna and J.C. Sexton
abstract postscript pdf

TCDMATH 01-05. 
Analysis of the Density of Partition Function Zeroes - A Measure for Phase Transition Strength, by W. Janke and R. Kenna
abstract postscript pdf

TCDMATH 01-04. 
Exact Finite-Size Scaling and Corrections to Scaling in the Ising Model with Brascamp-Kunz Boundary Conditions, by W. Janke and R. Kenna
abstract postscript pdf

TCDMATH 01-03. 
Zeros of polynomials on Banach spaces: the real story by R.M. Aron, C. Boyd , R.A. Ryan, and I. Zalduendo 
abstract postscript pdf

TCDMATH 01-02. 
The Structure of the Aoki Phase at Weak Coupling, by R. Kenna, C. Pinto and J.C. Sexton
abstract postscript pdf

TCDMATH 01-01. 
Resonant Motions of the Three-dimensional Elastic Pendulum, by Peter Lynch
abstract postscript pdf

TCDMATH 00-13. 
Algebras of symmetric holomorphic functions on lp, by Raymundo Alencar, Richard Aron, Pablo Galindo, and Andriy Zagorodnyuk
abstract postscript pdf

TCDMATH 00-12. 
Sets of weak sequential continuity for polynomials by R. Aron and V. Dimant.
abstract postscript pdf

TCDMATH 00-11. 
On spectral pictures, by Robin Harte.
abstract postscript pdf

TCDMATH 00-10. 
Mass zeros in the one-loop effective actions of QED in 1+1 and 3+1 dimensions, by M.P.Fry
abstract postscript pdf

TCDMATH 00-09. 
The complexity of scheduling TV commercials, by Klemens Hägele, Colm Ó Dúnlaing, and Søren Riis.
abstract postscript pdf

TCDMATH 00-08. 
Light Curves and Spectra from Gamma-Ray Bursts, by T.P. Downes, P. Duffy and S. Komissarov
abstract postscript pdf

TCDMATH 00-07. 
Reynolds--uniform numerical method for Prandtl's problem with suction--blowing based on Blasius' approach, by B. Gahan, J.J.H. Miller, and G.I. Shishkin
abstract postscript pdf

TCDMATH 00-06. 
An experimental technique for computing parameter--uniform error estimates for numerical solutions of singular perturbation problems, with an application to Prandtl's problem at high Reynolds number, by P.A. Farrell, A.F. Hegary, J.J.H. Miller, E. O'Riordan, and G.I. Shishkin.
abstract postscript pdf

TCDMATH 00-05. 
Accurate numerical method for Blasius' problem for flow past a flat plate with mass transfer by B. Gahan, J.J.H Miller, and G.I. Shishkin
abstract postscript pdf

TCDMATH 00-04. 
The Strength of First and Second Order Phase Transitions from Partition Function Zeroes, by W. Janke and R. Kenna.
abstract postscript pdf 

TCDMATH 00-03. 
A robust layer-resolving numerical method for a free convection problem, by Jocelyn Étienne, John J.H. Miller, and Grigorii I. Shishkin
abstract postscript pdf

TCDMATH 00-02. 
Chiral limit of the two-dimensional fermionic determinant in a general magnetic field, by M. P. Fry
abstract postscript pdf

TCDMATH 00-01. 
An Epistemological Derivation of Quantum Logic, by John Foy.
abstract postscript pdf

TCDMATH 99-17. 
A Remark on Schwarz's Topological Field Theory by David H. Adams and Emil M. Prodanov 
abstract postscript pdf

TCDMATH 99-16. 
Abelian Duality by Emil M. Prodanov and Siddhartha Sen 
abstract postscript pdf

TCDMATH 99-15. 
On the Absence of Cross--Confinement for Dynamically Generated Multi--Chern--Simons Theories by Emil M. Prodanov and Siddhartha Sen 
abstract postscript pdf

TCDMATH 99-14. 
Equivalence of the Self--Dual Model and Maxwell--Chern--Simons Theory on Arbitrary Manifolds, by Emil M. Prodanov and Siddhartha Sen 
abstract postscript pdf

TCDMATH 99-13. 
Relativistic Shock Acceleration, by P. Duffy, T.P. Downes, Y.A. Gallant, and J.G. Kirk 
abstract postscript pdf

TCDMATH 99-12. 
Discrete Approximation of the Riemann Problem for the Viscous Burgers Equation, by G. .I. Shishkin
abstract postscript pdf

TCDMATH 99-11. 
An iterative Re-uniform method for the numerical solution of the Prandtl boundary-layer problem, by Paul A. Farrell, Alan F. Hegarty, John.J.H. Miller, Eugene O'Riordan and G.I. Shishkin 
abstract postscript pdf

TCDMATH 99-10. 
Numerical Stability of Lanczos Methods, by Eamonn Cahill, Alan Irving, Christopher Johnston, James Sexton, and The UKQCD Collaboration.
abstract postscript pdf

TCDMATH 99-09. 
The Phase Diagrams of the Schwinger and Gross-Neveu Models with Wilson Fermions, by R. Kenna, C. Pinto and J.C. Sexton.
abstract postscript pdf

TCDMATH 99-08. 
Numerical Analysis of Re-Uniform Convergence for Boundary Layer Equations for a Flat Plate, by Farrell P.A., Hegarty A.F., Miller J.J.H., O'Riordan E., and Shishkin G.I.
abstract postscript pdf

TCDMATH 99-07. 
The e-uniform convergence of the discrete derivatives for singularly perturbed problems, by Farrell P.A., Hegarty A.F., Miller J.J.H., O'Riordan E., and Shishkin G.I.
abstract postscript pdf

TCDMATH 99-06. 
A technique for computing realistic values of the error parameters for the numerical solutions of singular perturbation problems, by Farrell P.A., Hegarty A.F., Miller J.J.H., O'Riordan E., and Shishkin G.I.
abstract postscript pdf

TCDMATH 99-05. 
Ramond-Ramond Couplings on Brane-Antibrane Systems, by Conall Kennedy and Andy Wilkins.
abstract postscript pdf

TCDMATH 99-04. 
Mathematics in primary schools, by Colm Ó Dúnlaing.
abstract postscript pdf

TCDMATH 99-03. 
The spectral theory of non-negative matrices, by M.R.F. Smyth
abstract postscript pdf

TCDMATH 99-02. 
On the transfer of momentum from stellar jets to molecular outflows, by Turlough P. Downes and Tom P. Ray
abstract postscript pdf

TCDMATH 99-01. 
The Phase Structure of the Weakly Coupled Lattice Schwinger Model, by R. Kenna, C. Pinto and J.C. Sexton
abstract postscript pdf

TCDMATH 98-10. 
Fourier Analysis, Multiresolution Analysis, and Dilation Equations, by David Malone
abstract postscript 

TCDMATH 98-09. 
Renormal-order improvement of the Schwinger mass, by Christoph Adam
abstract postscript 

TCDMATH 98-08. 
Normalization of the chiral condensate in the massive Schwinger model, by Christoph Adam 
abstract postscript 

TCDMATH 98-07. Theta vacuum in different gauges, by Christoph Adam 
abstract postscript 

TCDMATH 98-06. 
A simple linear-time planar layout algorithm with a LEDA implementation, by Colm Ó Dúnlaing.
abstract postscript 

TCDMATH 98-05. 
Asymptotic expansion of the lattice scalar propagator in coordinate space, by Beatrice Paladini and James C. Sexton 
abstract postscript 

TCDMATH 98-04. 
Homeomorphism of 2-complexes is equivalent to graph isomorphism, by Colm Ó Dúnlaing, Colum Watt, and David Wilkins.
abstract postscript 

TCDMATH 98-03. 
Style Sheet Languages and Mathematical Material, by Richard M. Timoney. 
abstract postscript pdf

TCDMATH 98-02. 
A note on positivity of elementary operators, by Richard M. Timoney. 
abstract postscript pdf

TCDMATH 98-01. 
Singular Behaviour of the Potts Model in the Thermodynamic Limit, by Ralph Kenna.
abstract postscript

TCDMATH 97-14. 
Cosmology with a primordial scaling field, by Pedro G. Ferreira and Michael Joyce.
abstract postscript

TCDMATH 97-13. 
Electroweak baryogensis without the phase transition, by Michael Joyce.
abstract postscript

TCDMATH 97-12. 
Turning Around the Sphaleron Bound: Electroweak Baryogenesis in an Alternative Post-inflationary Cosmology, by Michael Joyce and Tomislav Prokopec.
abstract postscript

TCDMATH 97-11. 
Supersymmetric Electroweak Baryogenesis in the WKB Approximation, by James M. Cline, Michael Joyce and Kimmo Kainulainen.
abstract postscript

TCDMATH 97-10. 
Structure formation with a self-tuning scalar field, by Pedro G. Ferreira and Michael Joyce.
abstract postscript

TCDMATH 97-09. 
Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly, by M. Joyce and M. Shaposhnikov.
abstract postscript

TCDMATH 97-08. 
Three-Dimensional Black Holes and String Theory, by Danny Birmingham, Ivo Sachs, and Siddhartha Sen.
abstract postscript

TCDMATH 97-07. 
Fisher zeroes and singular behaviour of the two-dimensional Potts model in the Thermodynamic limit, by R. Kenna.
abstract postscript

TCDMATH 97-06. 
A short course in Eiffel, by Colm Ó Dúnlaing.
abstract postscript

TCDMATH 97-05. 
Completeness of some axioms of Lukasiewicz's: an exercise in problem-solving, by Colm Ó Dúnlaing.
abstract postscript

TCDMATH 97-04. 
Euromath system: alphabets and fonts, by Richard M. Timoney.
abstract postscript

TCDMATH 97-03. 
Fortune's Voronoi diagram algorithm extended to convex sites, by Andrew Farrell.
abstract postscript

TCDMATH 97-02. 
Pisier's operator Hilbert space, by Richard M. Timoney.
abstract postscript

TCDMATH 97-01.
Miscellaneous topological algorithms, by Colm Ó Dúnlaing, Colum Watt, David Wilkins, and Chee Yap. 
abstract postscript