Jan Manschot

Associate Professor in Theoretical Physics

Director of Undergraduate Teaching and Learning



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

Upcoming activities:

“Algebraic Structures in Gauge Theory and Geometry”, 1-5 July 2024, Lorentz Center


Current teaching

·       Michaelmas Term: Mechanics (MAU11400)

·       Hilary Term: Quantum Field Theory (MAU44400)

·       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.



Research interests

My research considers 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 in part by the Irish Research Council.


Recent preprints and publications

1.     "Four-Manifold Invariants and Donaldson-Witten Theory”, arXiv:2312.14709

2.     with J. Aspman and E. Furrer, "Topological twists of massive SQCD, Part II", arXiv:2312.11616

Part I & II combined is available here

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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



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

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

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

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

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

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

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

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

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

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

11.  Trinity College Open Day 2020, video slides

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

13.  Lectures at SCGP 2014, 2016 and 2019 link

14.  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: 6 January 2024