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Jan Manschot Professor in Theoretical Physics FTCD |
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School of Mathematics Trinity College Dublin 2 Ireland |
Hamilton Building Office: 2.5 Telephone: +353 1 896 8516 Email: manschot AT maths.tcd.ie |
Current teaching
· Michaelmas Term: Statistical Physics I (MAU34405)
· Hilary Term: Statistical Physics II (MAU34406), Advanced Quantum Field Theory (MAP50004)
· Projects MAU44P00
Past teaching
· Michaelmas Term: Mechanics (MAU11400)
· Hilary term: Mechanics (MAU11400) , Quantum Mechanics II, Calculus on Manifolds
· Projects in theoretical physics and/or mathematics: MAU44M00.
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Recent preprints and publications
1. with A. Chattopadhyaya, “Iterated Integrals for Generalized Appell Functions”, arXiv:2609.26438
2. with M. Dennemann, “Equivariant Localization for N=2 Theories with Hypermultiplets”, arXiv:2608.25000
3. with J. Aspman, C. Closset, E. Furrer, “Galois Covers of Calabi-Yau Quivers and BPS State Counting”, arXiv:2603.15334
4. with E. Furrer, “Universal Functions for Topological Correlators”, arXiv:2602.20279
5. with A. Chattopadhyaya, “Appell Functions for General Lattices”, arXiv:2510.10204
6. with H. Kim, G. W. Moore, R. Tao and X. Zhang, “Path Integral Derivations Of K-Theoretic Donaldson Invariants”, arXiv:2509.23042
7. with Z.-Z. Wang, “The iε-Prescription for String Amplitudes and Regularized Modular Integrals”, arXiv:2411.02517
8. “Four-Manifold Invariants and Donaldson-Witten Theory”, arXiv:2312.14709
9. with J. Aspman and E. Furrer, “Topological twists of massive SQCD, Part II”, arXiv:2312.11616
Part I & II combined is available here
10. with A. Chattopadhyaya, "Numerical experiments on coefficients of instanton partition functions", arXiv:2301.06711
11. with J. Aspman, "Decay channels for double extremal black holes in four dimensions", arXiv:2212.10645
12. with S. Mondal, "Supersymmetric black holes and TT-deformation", arXiv:2207.01462
13. with J. Aspman and E. Furrer, "Topological twists of massive SQCD, Part I", arXiv:2206.08943
14. with S. Alexandrov, N. Gaddam, B. Pioline. "Modular bootstrap for D4-D2-D0 indices on compact Calabi-Yau threefolds", arXiv:2204.02207
15. with J. Aspman and E. Furrer, "Four flavors, triality and bimodular forms", arXiv:2110.11969
16. with A. Chattopadhyaya and S. Mondal, “Scaling Black Holes and Modularity”, arXiv:2110.05504
17. with J. Aspman and E. Furrer, “Cutting and gluing with running couplings in N=2 QCD”, arXiv:2107.04600
18. with G. W. Moore, “Topological correlators of SU(2), N=2* SYM on four-manifolds”, arXiv:2104.06492
19. with J. Aspman and E. Furrer, "Elliptic Loci of SU(3) Vacua", arXiv:2010.06598
20. with G. Beaujard and B. Pioline, "Vafa-Witten invariants from exceptional collections", arXiv:2004.14466
21. with G. W. Moore and X. Zhang, "Effective gravitational couplings of four-dimensional N=2 supersymmetric gauge theories", arXiv:1912.04091
22. with G. Korpas, G. W. Moore, I. Nidaiev, "Mocking the u-plane integral", arXiv:1910.13410
23. with S. Alexandrov, B. Pioline, "S-duality and refined BPS indices", arXiv:1910.03098
24. with G. Korpas, G. W. Moore, I. Nidaiev, "Renormalization and BRST symmetry in Donaldson-Witten theory", arXiv:1901.03540
25. "Vafa-Witten theory and iterated integrals of modular forms", arXiv:1709.10098
26. with G. Korpas, "Donaldson-Witten theory and indefinite theta functions", arXiv:1707.06235
27. with S. Alexandrov, S. Banerjee, B. Pioline, "Multiple D3-instantons and modular forms II", arXiv:1702.05497
28. with S. Mozgovoy, "Intersection cohomology of moduli spaces of sheaves on surfaces", arXiv:1612.07620
29. with S. Alexandrov, S. Banerjee, B. Pioline, "Indefinite theta series and generalized error functions", arXiv:1606.05495
30. with S. Alexandrov, S. Banerjee, B. Pioline, "Multiple D3-instantons and modular forms I", arXiv:1605.05945
31. with K. Bringmann, and L. Rolen, "Identities for generalized Appell functions and the blow-up formula", arXiv:1510.00630
32. with M. Z. Rolón, "The asymptotic profile of χy-genera of Hilbert schemes of points on K3 surfaces", arXiv:1411.1093
33. “Sheaves on P2 and Generalized Appell Functions”, arXiv:1407.7785
34.
with B. Pioline and A. Sen, “The Coulomb Branch
Formula for Quiver Moduli Spaces”, arXiv:1404.7154
The accompanying CoulombHiggs Mathematics package is available here.
35. Lecture Notes “Quivers and BPS Bound States”, Winter School on Mathematical Physics 2014, Les Diablerets
See for a complete list for example: inspire or scholar.google.com
Recordings and slides
1. Physics LatAm Lectures (online) on “Topological Correlators of Supersymmetric Yang-Mills and Four-Manifold Invariants”, 12, 13, 19, 20 January 2026
2. “Topological Correlators of N=2 SYM and Four-Manifold Invariants”, Amherst Summer School on Mathematical Physics, 9-13 June 2025, Lectures Notes
3. “The iε-Prescription for String Amplitudes and Regularized Modular Integrals”, String Theory as a Bridge Between Gauge Theory and Quantum Gravity, 17 February 2025, Rome, slides
4. “Topological correlators of massive N=2 SQCD and 5d N=1 SYM on S1”, Algebra and Quantum Geometry of BPS Quivers, 22 January 2025, Les Diablerets, slides
5. Mittag-Leffler Institute, Djursholm, Enumerative Invariants, Quantum Fields and String Theory Correspondences, “Four-Manifold Invariants and Gauge Theory”, video
6. Galileo Galilei Institute, Florence, BPS Dynamics and Quantum Mathematics, “Path Integral Derivations of K-Theoretic Donaldson Invariants”, video
7. Joint Mathematics Meeting 2024, San Francisco, “Mock Modular Forms and Instanton Partition Functions”, slides
8. Isaac Newton Institute, Cambridge, Number Theory, Machine Learning and Quantum Black holes 2023, “Black Holes, TTbar Deformed Conformal Field Theory, and Weak Gravity”, video
9. Strings in Seoul 2023, “Topological correlators of massive N=2SQCD and 5d N=1 YM”, video
10. MSRI New Four-Dimensional Gauge Theories 2022, "Path integral derivations of Vafa-Witten and K-theoretic Donaldson invariants", video
11. Dual Mystery Channel 2022, "Modular bootstrap for D4-D2-D0 indices on compact Calabi-Yau threefolds", video
12. Simons Collaboration on Special Holonomy in Geometry, Analysis and Physics, "Topological correlators of N=2* Yang-Mills theory", video
13. Lisbon 2021, "Scaling Black Holes and Modularity", video, slides
14. QASTM Zoominar series 2021, "Topological correlators of N=2* Yang-Mills theory", video, slides
15. Sheffield 2021, "Topological gauge theory, quivers and flow trees", video, slides
16. Lisbon seminar 2021, "Vafa-Witten theory and quivers", video
17. Trinity College Open Day 2020, video slides
18. ICTP 2019, "Mocking the u-plane integral and Donaldson invariants", Part 1, Part 2,
19. Lectures at SCGP 2014, 2016 and 2019 link
20. Strings 2013, "BPS bound states and quivers", video.
Past activities
Algebraic Structures in Gauge Theory and Geometry, 1-5 July 2024, Lorentz Center
Verlinde-Verlinde Symposium, 14-15 July 2022
Irish-French Ulysses Collaboration Mini-Workshop, 30 May - 1 June 2022
Irish Theoretical Physics 2022, 25-27 May 2022
Quantum Gravity and Modularity, 3-14 May 2021
Gauge Theory and Virtual Invariants, 13-17 May 2019
Indefinite Theta Functions and Applications in Physics & Geometry, 6-9 June 2017
Journées de Physique Mathématique Lyon "BPS states, Hitchin Systems and Quivers", 3-5 September 2014, proceedings are published in Confluentes Mathematici
Last update: 23 September 2026