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Dr. Sergey Mozgovoy
Associate Professor, Pure & Applied Mathematics
Email mozgovos@tcd.ie Phone3531896 3945www.maths.tcd.ie/~mozgovoyPublications and Further Research Outputs
- 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, Markus Reineke, Arithmetic of character varieties of free groups, Internat. J. Math., 26, (12), 2015Journal Article, 2015, DOI
- Sergey Mozgovoy, Jan Manschot, Intersection cohomology of moduli spaces of sheaves on surfaces, Selecta Math., 24, (5), 2018, p3889-3926Journal Article, 2018
- Sergey Mozgovoy, Quiver representations in abelian categories, J. Algebra, 541, 2020, p35-50Journal Article, 2020
- Sergey Mozgovoy, Olivier Schiffmann, Counting Higgs bundles and type A quiver bundles, Compositio Mathematica, 2020Journal Article, 2020, DOI
- Sergey Mozgovoy, Translation quiver varieties, Journal of Pure and Applied Algebra, 2022Journal Article, 2022, URL
- Sergey Mozgovoy and Markus Reineke, Donaldson-Thomas invariants for 3-Calabi-Yau varieties of dihedral quotient type, The Quarterly Journal of Mathematics, 2021Journal Article, 2021
- Sergey Mozgovoy, Operadic approach to wall-crossing, Journal of Algebra, 2022Journal Article, 2022, DOI , URL
- Sergey Mozgovoy, A computational criterion for the Kac conjecture, J. Algebra, 318, 2007, p669 - 679Journal Article, 2007
- Sergey Mozgovoy, Markus Reineke, On the number of stable quiver representations over finite fields, J. Pure Appl. Algebra, 213, 2009Journal Article, 2009
- Sergey Mozgovoy, Classification of semistable sheaves on a rational curve with one node, J. Algebra, 323, 2010Journal Article, 2010
- Sergey Mozgovoy, Poincaré polynomials of moduli spaces of stable bundles over curves, Manuscripta Math., 131, 2010Journal Article, 2010
- Sergey Mozgovoy, Markus Reineke, On the noncommutative Donaldson-Thomas invariants arising from brane tilings, Adv. Math., 223, 2010Journal Article, 2010
- A. Morrison, S. Mozgovoy, K. Nagao, B. Szendroi, Motivic Donaldson--Thomas invariants of the conifold and the refined topological vertex, Adv. Math., 230, 2012Journal Article, 2012
- Sergey Mozgovoy, Solutions of the motivic ADHM recursion formula, Internat. Math. Res. Notices, 2012Journal Article, 2012
- Sergey Mozgovoy, Motivic Donaldson-Thomas invariants and Kac conjecture, Compositio Mathematica, 149, 2013Journal Article, 2013
- Sergey Mozgovoy, On the motivic Donaldson-Thomas invariants of quivers with potentials, Math. Res. Lett., 20, 2013Journal Article, 2013
- Sergey Mozgovoy, Wall-crossing formulas for framed objects, Quart. J. Math., 64, 2013Journal Article, 2013
- Sergey Mozgovoy, Markus Reineke, Abelian quiver invariants and marginal wall-crossing, Letters in Mathematical Physics, 104, 2014Journal Article, 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, 2014Journal Article, 2014
- Sergey Mozgovoy, Motivic classes of Quot-schemes on surfaces, 2019Journal Article, URL
- Sergey Mozgovoy, Commuting matrices and volumes of linear stacks, 2019Journal Article, URL
- Sergey Mozgovoy, Higgs bundles over P1 and quiver representations, 2016Journal Article, URL
- Sergey Mozgovoy, Markus Reineke, Intersection cohomology of moduli spaces of vector bundles over curves, 2015Journal Article, URL
- Sergey Mozgovoy, Invariants of moduli spaces of stable sheaves on ruled surfaces, 2013Journal Article, URL
- Sergey Mozgovoy and Boris Pioline, Attractor invariants, brane tilings and crystals, 2020Journal Article
- Sergey Mozgovoy, Wall-crossing structures on surfaces, 2022Journal Article
- Vladimir Dotsenko and Sergey Mozgovoy, DT invariants from vertex algebras, 2021Journal Article
Recognition
- Member of the executive committee of the Hamilton Mathematics Institute (HMI) 2022