Dr. Sergey Mozgovoy
Assistant Professor, Pure & Applied Mathematics
Publications and Further Research Outputs
Peer-Reviewed Publications
Sergey Mozgovoy, Translation quiver varieties, Journal of Pure and Applied Algebra, 2022
Sergey Mozgovoy, Operadic approach to wall-crossing, Journal of Algebra, 2022
Sergey Mozgovoy and Markus Reineke, Donaldson-Thomas invariants for 3-Calabi-Yau varieties of dihedral quotient type, The Quarterly Journal of Mathematics, 2021
Sergey Mozgovoy, Quiver representations in abelian categories, J. Algebra, 541, 2020, p35-50
Sergey Mozgovoy, Olivier Schiffmann, Counting Higgs bundles and type A quiver bundles, Compositio Mathematica, 2020
Sergey Mozgovoy, Jan Manschot, Intersection cohomology of moduli spaces of sheaves on surfaces, Selecta Math., 24, (5), 2018, p3889-3926
Sergey Mozgovoy, Markus Reineke, Arithmetic of character varieties of free groups, Internat. J. Math., 26, (12), 2015
Sergey Mozgovoy, Markus Reineke, Abelian quiver invariants and marginal wall-crossing, Letters in Mathematical Physics, 104, 2014
Sergey Mozgovoy, Markus Reineke, Moduli spaces of stable pairs and non-abelian zeta functions of curves via wall-crossing, Journal de l'École polytechnique -- Mathématiques, 2014
Sergey Mozgovoy, On the motivic Donaldson-Thomas invariants of quivers with potentials, Math. Res. Lett., 20, 2013
Introduction to Donaldson-Thomas invariants in, Advances in representation theory of algebras, Zürich, European Mathematical Society, 2013, pp195 - 210, [Sergey Mozgovoy]
Sergey Mozgovoy, Wall-crossing formulas for framed objects, Quart. J. Math., 64, 2013
Sergey Mozgovoy, Motivic Donaldson-Thomas invariants and Kac conjecture, Compositio Mathematica, 149, 2013
A. Morrison, S. Mozgovoy, K. Nagao, B. Szendroi, Motivic Donaldson--Thomas invariants of the conifold and the refined topological vertex, Adv. Math., 230, 2012
Sergey Mozgovoy, Solutions of the motivic ADHM recursion formula, Internat. Math. Res. Notices, 2012
Sergey Mozgovoy, Classification of semistable sheaves on a rational curve with one node, J. Algebra, 323, 2010
Sergey Mozgovoy, Markus Reineke, On the noncommutative Donaldson-Thomas invariants arising from brane tilings, Adv. Math., 223, 2010
Sergey Mozgovoy, Poincaré polynomials of moduli spaces of stable bundles over curves, Manuscripta Math., 131, 2010
Sergey Mozgovoy, Markus Reineke, On the number of stable quiver representations over finite fields, J. Pure Appl. Algebra, 213, 2009
Sergey Mozgovoy, A computational criterion for the Kac conjecture, J. Algebra, 318, 2007, p669 - 679
Non-Peer-Reviewed Publications
Sergey Mozgovoy, Wall-crossing structures on surfaces, 2022
Vladimir Dotsenko and Sergey Mozgovoy, DT invariants from vertex algebras, 2021
Sergey Mozgovoy and Boris Pioline, Attractor invariants, brane tilings and crystals, 2020
Sergey Mozgovoy, Commuting matrices and volumes of linear stacks, 2019
Sergey Mozgovoy, Motivic classes of Quot-schemes on surfaces, 2019
Sergey Mozgovoy, Higgs bundles over P1 and quiver representations, 2016
Sergey Mozgovoy, Markus Reineke, Intersection cohomology of moduli spaces of vector bundles over curves, 2015
Sergey Mozgovoy, Invariants of moduli spaces of stable sheaves on ruled surfaces, 2013
Recognition
Memberships
Member of the executive committee of the Hamilton Mathematics Institute (HMI)