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Dr. Sergey Mozgovoy
Assistant Professor, Pure & Applied Mathematics

Publications and Further Research Outputs

Peer-Reviewed Publications

Sergey Mozgovoy, Olivier Schiffmann, Counting Higgs bundles and type A quiver bundles, Compositio Mathematica, 2020 Journal Article, 2020

Sergey Mozgovoy, Quiver representations in abelian categories, J. Algebra, 541, 2020, p35-50 Journal Article, 2020

Sergey Mozgovoy, Jan Manschot, Intersection cohomology of moduli spaces of sheaves on surfaces, Selecta Math., 24, (5), 2018, p3889-3926 Journal Article, 2018

Sergey Mozgovoy, Markus Reineke, Arithmetic of character varieties of free groups, Internat. J. Math., 26, (12), 2015 Journal Article, 2015 DOI

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 Journal Article, 2014

Sergey Mozgovoy, Markus Reineke, Abelian quiver invariants and marginal wall-crossing, Letters in Mathematical Physics, 104, 2014 Journal Article, 2014

Introduction to Donaldson-Thomas invariants in, Advances in representation theory of algebras, Zürich, European Mathematical Society, 2013, pp195 - 210, [Sergey Mozgovoy] Book Chapter, 2013

Sergey Mozgovoy, Wall-crossing formulas for framed objects, Quart. J. Math., 64, 2013 Journal Article, 2013

Sergey Mozgovoy, Motivic Donaldson-Thomas invariants and Kac conjecture, Compositio Mathematica, 149, 2013 Journal Article, 2013

Sergey Mozgovoy, On the motivic Donaldson-Thomas invariants of quivers with potentials, Math. Res. Lett., 20, 2013 Journal Article, 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 Journal Article, 2012

Sergey Mozgovoy, Solutions of the motivic ADHM recursion formula, Internat. Math. Res. Notices, 2012 Journal Article, 2012

Sergey Mozgovoy, Markus Reineke, On the noncommutative Donaldson-Thomas invariants arising from brane tilings, Adv. Math., 223, 2010 Journal Article, 2010

Sergey Mozgovoy, Poincaré polynomials of moduli spaces of stable bundles over curves, Manuscripta Math., 131, 2010 Journal Article, 2010

Sergey Mozgovoy, Classification of semistable sheaves on a rational curve with one node, J. Algebra, 323, 2010 Journal Article, 2010

Sergey Mozgovoy, Markus Reineke, On the number of stable quiver representations over finite fields, J. Pure Appl. Algebra, 213, 2009 Journal Article, 2009

Sergey Mozgovoy, A computational criterion for the Kac conjecture, J. Algebra, 318, 2007, p669 - 679 Journal Article, 2007

Non-Peer-Reviewed Publications

Sergey Mozgovoy, Translation quiver varieties, 2019 Journal Article, 2019 URL

Sergey Mozgovoy, Motivic classes of Quot-schemes on surfaces, 2019 Journal Article, 2019 URL

Sergey Mozgovoy, Commuting matrices and volumes of linear stacks, 2019 Journal Article, 2019 URL

Sergey Mozgovoy, Higgs bundles over P1 and quiver representations, 2016 Journal Article, 2016 URL

Sergey Mozgovoy, Markus Reineke, Intersection cohomology of moduli spaces of vector bundles over curves, 2015 Journal Article, 2015 URL

Sergey Mozgovoy, Invariants of moduli spaces of stable sheaves on ruled surfaces, 2013 Journal Article, 2013 URL