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Dr. Jan Manschot

Assistant Professor (Pure & Applied Mathematics)

  Algebra   BLACK HOLE PHYSICS   Mathematical Physics   Number Theory   Particle physics, fields theory   Theoretical Physics
Sergey Alexandrov, Sibasish Banerjee, Jan Manschot, Boris Pioline, Indefinite theta series and generalised error functions, Selecta Mathematica, 2018, p3927 - 3972, Journal Article, SUBMITTED  TARA - Full Text  URL
Jan Manschot, Sergey Mozgovoy, Intersection cohomology of moduli spaces of sheaves on surfaces, Selecta Mathematica, 24, (5), 2018, p3889 - 3926, Journal Article, PUBLISHED  TARA - Full Text  URL
Jan Manschot, Boris Pioline, Ashoke Sen, The Coulomb branch formula for quiver moduli spaces, Confluentes Mathematici, 9, (2), 2017, pp49-69 , Conference Paper, PUBLISHED  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, PUBLISHED  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, PUBLISHED  TARA - Full Text  DOI  URL
Korpas, G. and Manschot, J., Donaldson-Witten theory and indefinite theta functions, Journal of High Energy Physics, 2017, (11), 2017, Notes: [cited By 0], Journal Article, PUBLISHED  DOI
Jan Manschot, Vafa-Witten theory and iterated integrals of modular forms, 2017, Journal Article, SUBMITTED
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, PUBLISHED  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, PUBLISHED  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, PUBLISHED  URL

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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.