Davesh Maulik

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Davesh Maulik is an American mathematician who studies algebraic geometry .

Maulik received his PhD from Princeton University in 2007 with Rahul Pandharipande . He is an Associate Professor at Columbia University . In 2007 he became a Clay Research Fellow .

With Pandharipande, Andrei Okunkow, and Nikita Nekrassow , he established the MNOP conjecture, which establishes connections between Gromov-Witten invariants and Thomas-Donaldson invariants in counting algebraic geometry. He was also involved in the proof of the conjecture for special cases and the calculation of Gromov-Witten invariants, for example for Calabi-Yau varieties.

In 2014 he was invited speaker at the International Congress of Mathematicians in Seoul (K3 surfaces in positive characteristic).

Fonts

  • with Pandharipande: A topological view of Gromov-Witten-theory, Arxiv 2004
  • with Pandharipande, Nekrassow, Okunkow: Gromov-Witten theory and Donaldson-Thomas theory, part 1,2, Compositio Mathematica, volume 142, 2006, pp. 1263-1285, 1286-1304, part 1, Arxiv , part 2, Arxiv
  • with Pandharipande, A. Oblomkow, Okunkow: Gromov-Witten / Donaldson-Thomas correspondence for toric 3-folds, Inventiones mathematicae, Volume 186, 2011, pp. 171–198, Arxiv
  • with Yun Zhiwei : Macdonald formula for curves with planar singularities, Preprint 2011
  • with Andrei Okunkow: Quantum Groups and Quantum Cohomology, Arxiv 2012

Web links

Individual evidence

  1. Davesh Maulik in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. Notices AMS, Volume 54, 2007, p. 890, pdf