
Jan Manschot Associate Professor in Theoretical Physics Course Coordinator for Moderatorship 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 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 more complete list for example: inspire or scholar.google.com
Past activities:
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: 1 May 2020