Jan Manschot
Assistant Professor, Pure & Applied Mathematics

Publications and Further Research Outputs

Peer-Reviewed Publications

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

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

Miguel Zapata Rolon, Jan Manschot, 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

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

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, 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

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

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, 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

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, 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

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, From Black Holes to Quivers, Journal of High Energy Physics, 11, 2012, p23 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, 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, 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, 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, Gregory W. Moore, A Modern Fareytail, Communications in Number Theory and Physics, 4, 2010, p103 Journal Article, 2010 URL

Jan Manschot, Stability and Duality in N=2 Supergravity, Communications in Mathematical Physics, 299, 2010, p651 - 676 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, On the space of elliptic genera, Communications in Number Theory and Physics, 2, (4), 2008, p803 - 833 Journal Article, 2008 URL

Jan Manschot, Partition Functions for Supersymmetric Black Holes, University of Amsterdam, 2008 Thesis, 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, Reducing the critical switching current in nanoscale spin valves, Applied Physics Letters, 85, 2004, p3250 Journal Article, 2004 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, Boris Pioline, Ashoke Sen, The Coulomb branch formula for quiver moduli spaces Conference Paper, 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