Rahul Pandharipande

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Rahul Pandharipande (* 1969 ) is an Indian-American mathematician who deals with algebraic geometry (especially counting geometry and modular spaces of curves). He is a professor at the ETH Zurich .

Pandharipande studied mathematics at Princeton University with a bachelor's degree summa cum laude in 1990 and received his doctorate from Joe Harris at Harvard University in 1994 ( A Compactification over the Moduli Space of Stable Curves of the Universal Moduli Space of Slope-Semistable Vector Bundles ). From 1994 to 1997 he was Dickson Instructor at the University of Chicago , from 1997 Assistant Professor in Chicago, from 1998 Associate Professor and from 2001 Professor at Caltech . In 2002 he became a professor at Princeton and from 2011 he was a professor at ETH Zurich.

In 2010/11 he was visiting professor at the Instituto Superior Técnico in Lisbon .

In 2013 he received the Clay Research Award for proving a conjecture (MNOP conjecture) made by himself, his doctoral student Davesh Maulik , Andrei Okounkov and Nikita Nekrasov in counting geometry in many cases, especially for three-dimensional Calabi-Yau varieties ( with his student Aaron Pixton). The MNOP conjecture combines two types of counting algebraic curves, one using Gromov-Witten theory and the other using Donaldson-Thomas invariants (after Simon Donaldson , Richard Thomas ). In proving the conjecture for CY-3 varieties, they built on the work of Pandharipande and Richard Thomas on stable pairs.

He was a Sloan Research Fellow from 1999 to 2003 and a Packard Fellow from 2000 to 2005. He was invited speaker at the International Congress of Mathematicians in Beijing 2002 (Three questions in Gromov-Witten theory). In 2013 he received the Indian Infosys Prize. In 2014/15 and 2015/16 he was on the Abel Prize Committee. In 2018 he is plenary speaker at the ICM in Rio (Cohomological field theory calculations). Since 2015 he has been an Einstein Visiting Fellow at the Berlin Mathematical School.

Fonts

  • with Graber: Localization of virtual classes, Inventiones mathematicae, Volume 135, 1999, pp. 487-518
  • with Okounkov: Gromov-Witten theory, Hurwitz numbers and completed cycles, Annals of Mathematics, Volume 163, 2006, pp. 517-560
  • with Okounkov: Equivariant Gromov-Witten theory of , Annals of Mathematics, Volume 163, 2006, pp. 561-605
  • with Maulik, Nekrasov, Okounkov: Gromov-Witten theory and Donaldson-Thomas theory, part 1,2, Compositio Mathematica, volume 142, 2006, pp. 1263-1285, 1286-1304
  • with R. Thomas: Curve counting via stable pairs in the derived category, Inventiones mathematicae, Volume 178, 2009, pp. 407-447
  • with Maulik, A. Oblomkov, Okounkov: Gromov-Witten / Donaldson-Thomas correspondence for toric 3-folds, Inventiones mathematicae, Volume 186, 2011, pp. 171–198

Web links

Individual evidence

  1. ↑ Rahul Pandharipande in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ Clay Research Award 2013
  3. ↑ Arxiv
  4. ↑ Rahul Pandharipande . In: Einstein Visiting Fellows. Einstein Foundation Berlin, accessed on May 23, 2018.
personal data
SURNAME Pandharipande, Rahul
BRIEF DESCRIPTION Indian-American mathematician
DATE OF BIRTH 1969