Skip to main content

Trinity College Dublin, The University of Dublin

Trinity Menu Trinity Search



You are here People

Dr. Jan Manschot
Associate Professor, Pure & Applied Mathematics

Publications and Further Research Outputs

Peer-Reviewed Publications

J. Aspman, J. Manschot, Decay channels for double extremal black holes in four dimensions, SciPost, 16, (21), 2024 Journal Article, 2024 URL

J. Manschot, S. Mondal, Supersymmetric black holes and TT¯ deformation, Physical Review D, 107, (L121903), 2023 Journal Article, 2023 URL

A. Chattopadhyaya, J. Manschot, Numerical experiments on coefficients of instanton partition functions, Communications in Number Theory and Physics, 17, (4), 2023, p941 - 983 Journal Article, 2023 URL

J. Aspman, E. Furrer, J. Manschot, Cutting and gluing with running couplings in N=2 QCD, Physical Review D, 105, (2), 2022 Journal Article, 2022 URL

A. Chattopadhyaya, J. Manschot, S. Mondal, Scaling black holes and modularity, Journal of High Energy Phsyics, 22, (03), 2022, p1- Journal Article, 2022

J. Aspman, E. Furrer, J. Manschot, Four flavors, triality and bimodular forms, Physical Review D, 105, (2), 2022 Journal Article, 2022 URL

G. Beaujard, J. Manschot, B. Pioline, Vafa-Witten invariants from exceptional collections, Communications in Mathematical Physics, 385, 2021, p101 - 226 Journal Article, 2021 URL

G. Korpas, J. Manschot, G. W. Moore, I. Nidaiiev, Mocking the u-plane integral, Research in the Mathematical Sciences, 8, 2021, p43- Journal Article, 2021 URL

S. Alexandrov, J. Manschot, B. Pioline, S-duality and refined BPS indices, Communications in Mathematical Physics, 380, (2), 2020, p755 - 810 Journal Article, 2020 URL

J. Manschot, G. W. Moore, X. Zhang, Effective gravitational couplings of four-dimensional N = 2 supersymmetric gauge theories, JHEP, 2020, (06), 2020, p150- Journal Article, 2020 URL

J. Aspman, E. Furrer, J. Manschot, Elliptic loci of SU(3) vacua, Annales Henri Poincare, 22, 2020, p2775 - 2830 Journal Article, 2020 URL

Georgios Korpas, Jan Manschot, Gregory W. Moore, Yurii Nidaiev, Renormalization and BRST symmetry in Donaldson-Witten theory, Annales Henri Poincaré, 20, 2019, p3229 - 3264 Journal Article, 2019 URL

Jan Manschot, Vafa-Witten theory and iterated integrals of modular forms, Communications in Mathematical Physics, 371, 2019, p787 - 831 Journal Article, 2019 URL

Jan Manschot, Sergey Mozgovoy, Intersection cohomology of moduli spaces of sheaves on surfaces, Selecta Mathematica, 24, (5), 2018, p3889 - 3926 Journal Article, 2018 TARA - Full Text URL

Sergey Alexandrov, Sibasish Banerjee, Jan Manschot, Boris Pioline, Indefinite theta series and generalised error functions, Selecta Mathematica, 2018, p3927 - 3972 Journal Article, 2018 TARA - Full Text URL

Sergey Alexandrov, Sibasish Banerjee, Jan Manschot, Boris Pioline, Multiple D3-instantons and mock modular forms I, Comm. Math. Phys. , 353, (1), 2017, p379 - 411 Journal Article, 2017 URL

Sergey Alexandrov, Sibasish Banerjee, Jan Manschot, Boris Pioline, Multiple D3-instantons and mock modular forms II, Communications in Mathematical Physics, 353, (1), 2017, p379-411 Journal Article, 2017 TARA - Full Text URL DOI

Korpas, G. and Manschot, J., Donaldson-Witten theory and indefinite theta functions, Journal of High Energy Physics, 2017, (11), 2017 Journal Article, 2017 DOI

Jan Manschot, Boris Pioline, Ashoke Sen, The Coulomb branch formula for quiver moduli spaces, Confluentes Mathematici, 9, (2), 2017, pp49-69 Conference Paper, 2017 URL TARA - Full Text

Kathrin Bringman, Jan Manschot, Larry Rolen, Identities for generalized Appell functions and the blow-up formula, Letters in Mathematical Physics, 106, (10), 2016, p1379 - 1395 Journal Article, 2016 URL

Sergey Alexandrov, Jan Manschot, Daniel Persson, Boris Pioline, Quantum hypermultiplet moduli spaces in N= 2 string vacua: a review, Proceedings of Symposia in Pure Mathematics - Conference on String-Math 2012, 90, 2015, pp181 - 211 Conference Paper, 2015 URL

Jan Manschot, Miguel Zapata Rolon, The asymptotic profile of chi_y genera of Hilbert schemes of points on K3 surfaces, Comm. Number Theory and Physics, 9, (2), 2015, p413 - 435 Journal Article, 2015 URL

Wu-yen Chuang, Duiliu-Emanuel Diaconescu, Jan Manschot, Gregory Moore, Yan Soibelman, Geometric engineering of (framed) BPS states, Advances in Theoretical and Mathematical Physics, 18, 2014, p1063 - 1231 Journal Article, 2014 URL

Jan Manschot, Boris Pioline, Ashoke Sen, Generalized quiver mutations and single-centered indices, Journal of High Energy Physics, 1, 2014, p50- Journal Article, 2014 URL

Kathrin Bringmann, Jan Manschot, Asymptotic formulas for coefficients of inverse theta functions, Communications in Number Theory and Physics, 7, 2013, p497 - 513 Journal Article, 2013 URL

Jan Manschot, BPS invariants of semi-stable sheaves on rational surfaces, Letters in Mathematical Physics, 103, (8), 2013, p895 - 918 Journal Article, 2013 URL

Kathrin Bringmann, Jan Manschot, From sheaves on P2 to a generalization of the Rademacher expansion, American Journal of Mathematics, 135, (4), 2013, p1039 - 1065 Journal Article, 2013 URL

Babak Haghighat, Jan Manschot, Stefan Vandoren, A 5d/2d/4d correspondence, Journal of High Energy Physics, 3, 2013, p157- Journal Article, 2013 URL

Jan Manschot, Boris Pioline, Ashoke Sen, On the Coulomb and Higgs branch formulae for multi-centered black holes and quiver invariants, Journal of High Energy Physics, 5, 2013, p166- Journal Article, 2013 URL

Sergey Alexandrov, Jan Manschot, Boris Pioline, D3-instantons, mock theta series and twistors, Journal of High Energy Physics, 4, 2013, p2- Journal Article, 2013 URL

Jan Manschot, BPS invariants of N= 4 gauge theory on a surface, Communications in Number Theory and Physics, 6, (2), 2012, p497 - 516 Journal Article, 2012 URL

Jan Manschot, Boris Pioline, Ashoke Sen, From Black Holes to Quivers, Journal of High Energy Physics, 11, 2012, p23 Journal Article, 2012 URL

Manschot, J., BPS invariants of N = 4 gauge theory on Hirzebruch surfaces, Communications in Number Theory and Physics, 6, (2), 2012, p497-516 Journal Article, 2012

Albrecht Klemm, Jan Manschot, Thomas Wotschke, Quantum geometry of elliptic Calabi-Yau manifolds, Communications in Number Theory and Physics, 6, (4), 2012, p849 - 917 Journal Article, 2012 URL

Jan Manschot, Boris Pioline, Ashoke Sen, A fixed point formula for the index of multi-centered N=2 black holes, Journal of High Energy Physics, 5, 2011, p1 Journal Article, 2011 URL

Jan Manschot, The Betti Numbers of the Moduli Space of Stable Sheaves of Rank 3 on P2, Letters in Mathematical Physics, 98, (1), 2011, p65 - 78 Journal Article, 2011 URL

Jan Manschot, Boris Pioline, Ashoke Sen, Wall-crossing for Boltzmann Black Hole Halos, Journal of High Energy Physics, 7, 2011, p59 Journal Article, 2011 URL

Jan Manschot, Wall-crossing of D4-branes using flow trees, Advances in Theoretical and Mathematical Physics, 15, (1), 2011, p1 - 42 Journal Article, 2011 URL

Jan Manschot, Stability and Duality in N=2 Supergravity, Communications in Mathematical Physics, 299, 2010, p651 - 676 Journal Article, 2010 URL

Jan Manschot, Gregory W. Moore, A Modern Fareytail, Communications in Number Theory and Physics, 4, 2010, p103 Journal Article, 2010 URL

Jan de Boer, Kyriakos Papadodimas, Jan Manschot, Erik Verlinde, The chiral ring of AdS3/CFT2 and the attractor mechanism, Journal of High Energy Physics, 3, 2009, p30 Journal Article, 2009 URL

Jan Manschot, Partition Functions for Supersymmetric Black Holes, University of Amsterdam, 2008 Thesis, 2008 URL

Jan Manschot, On the space of elliptic genera, Communications in Number Theory and Physics, 2, (4), 2008, p803 - 833 Journal Article, 2008 URL

Jan Manschot, AdS3 partition functions reconstructed, Journal of High Energy Physics, 10, 2007, p103 Journal Article, 2007 URL

Jan de Boer, Miranda Cheng, Robbert Dijkgraaf, Jan Manschot, Erik Verlinde, A Farey Tail for Attractor Black Holes, Journal of High Energy Physics, 11, 2006, p24 Journal Article, 2006 URL

Jan Manschot, Arne Brataas, Gerrit Bauer, Nonmonotonic angular magnetoresistance in asymmetric spin valves, Physical Review B, 69, (9), 2004, p092407 Journal Article, 2004 URL

Jan Manschot, Arne Brataas, Gerrit Bauer, Reducing the critical switching current in nanoscale spin valves, Applied Physics Letters, 85, 2004, p3250 Journal Article, 2004 URL

Research Expertise

Description

My research deals with fundamental aspects of gauge theory, gravity and string theory. I am in particular interested in the quantum spectra of non-perturbative objects of these theories, such as instantons, monopoles, black holes and D-branes. Two directions of my past and current research are: 1) Bound states of fundamental constituents: supersymmetric gauge and gravity theories have a rich spectrum of so-called Bogomolny'i-Prasad-Sommerfield bound states of their fundamental constituents. The degrees of freedom associated with the bound state can be described using the mathematics of quiver representation theory. 2) Partition functions of Yang-Mills theory and supergravity: Partition functions contain crucial information about quantum spectra and are indispensable tools to address questions about entropy, phase transitions, symmetries and dualities of the physical theories. These symmetries and dualities imply interesting number theoretic properties for the partition functions. Supersymmetric quantum spectra typically depend discontinuously on external parameters J (a phenomena also known as wall-crossing). This is captured by partition functions through sums over an indefinite lattice.

Keywords

Algebra; BLACK HOLE PHYSICS; Mathematical Physics; Number Theory; Particle physics, fields theory; Theoretical Physics