Jan Manschot

Professor in Theoretical Physics

Director of Undergraduate Teaching and Learning

FTCD

 

Contact details

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: Mechanics (MAU11400)

·       Hilary Term: 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.

 

 

 

Recent preprints and publications

1.     with A. Chattopadhyaya, “Appell Functions for General Lattices”, arXiv:2010.10204

2.     with H. Kim, G. W. Moore, R. Tao and X. Zhang, “Path Integral Derivations Of K-Theoretic Donaldson Invariants”, arXiv:2509.23042

3.     with Z.-Z. Wang, “The -Prescription for String Amplitudes and Regularized Modular Integrals”, arXiv:2411.02517

4.     “Four-Manifold Invariants and Donaldson-Witten Theory”, arXiv:2312.14709

5.     with J. Aspman and E. Furrer, “Topological twists of massive SQCD, Part II”, arXiv:2312.11616

Part I & II combined is available here

6.     with A. Chattopadhyaya, "Numerical experiments on coefficients of instanton partition functions", arXiv:2301.06711

7.     with J. Aspman, "Decay channels for double extremal black holes in four dimensions", arXiv:2212.10645

8.     with S. Mondal, "Supersymmetric black holes and TT-deformation", arXiv:2207.01462

9.     with J. Aspman and E. Furrer, "Topological twists of massive SQCD, Part I", arXiv:2206.08943

10.  with S. Alexandrov, N. Gaddam, B. Pioline. "Modular bootstrap for D4-D2-D0 indices on compact Calabi-Yau threefolds", arXiv:2204.02207

11.  with J. Aspman and E. Furrer, "Four flavors, triality and bimodular forms", arXiv:2110.11969

12.  with A. Chattopadhyaya and S. Mondal, “Scaling Black Holes and Modularity”, arXiv:2110.05504

13.  with J. Aspman and E. Furrer, "Cutting and gluing with running couplings in N=2 QCD", arXiv:2107.04600

14.  with G. W. Moore, "Topological correlators of SU(2), N=2* SYM on four-manifolds", arXiv:2104.06492

15.  with J. Aspman and E. Furrer, "Elliptic Loci of SU(3) Vacua", arXiv:2010.06598

16.  with G. Beaujard and B. Pioline, "Vafa-Witten invariants from exceptional collections", arXiv:2004.14466

17.  with G. W. Moore and X. Zhang, "Effective gravitational couplings of four-dimensional N=2 supersymmetric gauge theories", arXiv:1912.04091

18.  with G. Korpas, G. W. Moore, I. Nidaiev, "Mocking the u-plane integral", arXiv:1910.13410

19.  with S. Alexandrov, B. Pioline, "S-duality and refined BPS indices", arXiv:1910.03098

20.  with G. Korpas, G. W. Moore, I. Nidaiev, "Renormalization and BRST symmetry in Donaldson-Witten theory", arXiv:1901.03540

21.  "Vafa-Witten theory and iterated integrals of modular forms", arXiv:1709.10098

22.  with G. Korpas, "Donaldson-Witten theory and indefinite theta functions", arXiv:1707.06235

23.  with S. Alexandrov, S. Banerjee, B. Pioline, "Multiple D3-instantons and modular forms II", arXiv:1702.05497

24.  with S. Mozgovoy, "Intersection cohomology of moduli spaces of sheaves on surfaces", arXiv:1612.07620

25.  with S. Alexandrov, S. Banerjee, B. Pioline, "Indefinite theta series and generalized error functions", arXiv:1606.05495

26.  with S. Alexandrov, S. Banerjee, B. Pioline, "Multiple D3-instantons and modular forms I", arXiv:1605.05945

27.  with K. Bringmann, and L. Rolen, "Identities for generalized Appell functions and the blow-up formula", arXiv:1510.00630

28.  with M. Z. Rolón, "The asymptotic profile of χy-genera of Hilbert schemes of points on K3 surfaces", arXiv:1411.1093

29.  “Sheaves on P2 and Generalized Appell Functions”, arXiv:1407.7785

30.  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.

31.  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.     Amherst Lectures: Lectures Notes

2.     “The -Prescription for String Amplitudes and Regularized Modular Integrals”, String Theory as a Bridge Between Gauge Theory and Quantum Gravity, 17 February 2025, Rome, slides

3.     “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

4.     Mittag-Leffler Institute, Djursholm, Enumerative Invariants, Quantum Fields and String Theory Correspondences, “Four-Manifold Invariants and Gauge Theory”, video

5.     Galileo Galilei Institute, Florence, BPS Dynamics and Quantum Mathematics, “Path Integral Derivations of K-Theoretic Donaldson Invariants”, video

6.     Joint Mathematics Meeting 2024, San Francisco, “Mock Modular Forms and Instanton Partition Functions”, slides

7.     Isaac Newton Institute, Cambridge, Number Theory, Machine Learning and Quantum Black holes 2023, “Black Holes, TTbar Deformed Conformal Field Theory, and Weak Gravity”, video

8.     Strings in Seoul 2023, “Topological correlators of massive N=2SQCD and 5d N=1 YM”, video

9.     MSRI New Four-Dimensional Gauge Theories 2022, "Path integral derivations of Vafa-Witten and K-theoretic Donaldson invariants", video

10.  Dual Mystery Channel 2022, "Modular bootstrap for D4-D2-D0 indices on compact Calabi-Yau threefolds", video

11.  Simons Collaboration on Special Holonomy in Geometry, Analysis and Physics, "Topological correlators of N=2* Yang-Mills theory", video

12.  Lisbon 2021, "Scaling Black Holes and Modularity", video, slides

13.  QASTM Zoominar series 2021, "Topological correlators of N=2* Yang-Mills theory", video, slides

14.  Sheffield 2021, "Topological gauge theory, quivers and flow trees", video, slides

15.  Lisbon seminar 2021, "Vafa-Witten theory and quivers", video

16.  Trinity College Open Day 2020, video slides

17.  ICTP 2019, "Mocking the u-plane integral and Donaldson invariants", Part 1, Part 2,

18.  Lectures at SCGP 2014, 2016 and 2019 link

19.  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: 14 October 2025