Jan Manschot

Associate Professor in Theoretical Physics


Contact details

School of Mathematics

Trinity College

Dublin 2


Hamilton Building

Office: 2.5

Telephone: +353 1 896 8516

Email: manschot AT maths.tcd.ie

During 2022/23: On leave to Institute for Advanced Study, Princeton

Past teaching

Research interests

My research deals with fundamental aspects of quantum field theory, gravity and string theory. I am in particular interested in the dynamics of non-perturbative objects of these theories, such as instantons, monopoles, black holes and D-branes. My research is supported by the Laureate Award "Modularity in Quantum Field Theory and Gravity" from the Irish Research Council.

Recent preprints and publications

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

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

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

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

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

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

  7. with A. Chattopadhyaya and S. Mondal, "Scaling Black Holes and Modularity", arXiv:2110.05504

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  24. "Sheaves on P2 and Generalized Appell Functions", arXiv:1407.7785

See for a complete list for example: inspire or scholar.google.com


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

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

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

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

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

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

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

  8. Trinity College Open Day 2020, video slides

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

  10. Lectures at SCGP 2014, 2016 and 2019 link

  11. Strings 2013, "BPS bound states and quivers", video.

Past activities

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: 22 December 2022