
Jan Manschot Associate Professor in Theoretical Physics 
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

Teaching
Michaelmas Term: Mechanics (MAU11400)
Hilary term: Mechanics (MAU11400) , Calculus on Manifolds (MA2322)
Projects in theoretical physics and/or mathematics: MAU44M00.
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 nonperturbative objects of these theories, such as instantons, monopoles, black holes and Dbranes. My research is supported by the Laureate Award "Modularity in Quantum Field Theory and Gravity" from the Irish Research Council. 


Recent preprints and publications
with J. Aspman and E. Furrer, "Four flavors, triality and bimodular forms", arXiv:2110.11969
with A. Chattopadhyaya and S. Mondal, "Scaling Black Holes and Modularity", arXiv:2110.05504
with J. Aspman and E. Furrer, "Cutting and gluing with running couplings in N=2 QCD", arXiv:2107.04600
with G. W. Moore, "Topological correlators of SU(2), N=2* SYM on fourmanifolds", arXiv:2104.06492
with J. Aspman and E. Furrer, "Elliptic Loci of SU(3) Vacua", arXiv:2010.06598
with G. Beaujard and B. Pioline, "VafaWitten invariants from exceptional collections", arXiv:2004.14466
with G. W. Moore and X. Zhang, "Effective gravitational couplings of fourdimensional N=2 supersymmetric gauge theories", arXiv:1912.04091
with G. Korpas, G. W. Moore, I. Nidaiev, "Mocking the uplane integral", arXiv:1910.13410
with S. Alexandrov, B. Pioline, "Sduality and refined BPS indices", arXiv:1910.03098
with G. Korpas, G. W. Moore, I. Nidaiev, "Renormalization and BRST symmetry in DonaldsonWitten theory", arXiv:1901.03540
"VafaWitten theory and iterated integrals of modular forms", arXiv:1709.10098
with G. Korpas, "DonaldsonWitten theory and indefinite theta functions", arXiv:1707.06235
with S. Alexandrov, S. Banerjee, B. Pioline, "Multiple D3instantons and modular forms II", arXiv:1702.05497
with S. Mozgovoy, "Intersection cohomology of moduli spaces of sheaves on surfaces", arXiv:1612.07620
with S. Alexandrov, S. Banerjee, B. Pioline, "Indefinite theta series and generalized error functions", arXiv:1606.05495
with S. Alexandrov, S. Banerjee, B. Pioline, "Multiple D3instantons and modular forms I", arXiv:1605.05945
with K. Bringmann, and L. Rolen, "Identities for generalized Appell functions and the blowup formula", arXiv:1510.00630
with M. Z. Rolón, "The asymptotic profile of χ_{y}genera of Hilbert schemes of points on K3 surfaces", arXiv:1411.1093
"Sheaves on P2 and Generalized Appell Functions", arXiv:1407.7785
See for a complete list for example: inspire or scholar.google.com
Recordings
Lisbon 2021, "Scaling Black Holes and Modularity", video, slides
QASTM Zoominar series 2021, "Topological correlators of N=2* YangMills theory", video, slides
Sheffield 2021, "Topological gauge theory, quivers and flow trees", video, slides
Lisbon seminar 2021, "VafaWitten theory and quivers", video
ICTP 2019, "Mocking the uplane integral and Donaldson invariants", Part 1, Part 2,
Lectures at SCGP 2014, 2016 and 2019 link
Strings 2013, "BPS bound states and quivers", video.
Past activities
Quantum Gravity and Modularity, 314 May 2021
Gauge Theory and Virtual Invariants, 1317 May 2019
Indefinite Theta Functions and Applications in Physics & Geometry, 69 June 2017
Journées de Physique Mathématique Lyon "BPS states, Hitchin Systems and Quivers", 35 September 2014, proceedings are published in Confluentes Mathematici
Last update: 26 October 2021