Mark Gross (mathematician)

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Mark Gross, 2017

Mark Gross (born November 30, 1965 ) is an American mathematician .

Life

Gross studied from 1982 at Cornell University with a bachelor's degree summa cum laude in 1984 and received his doctorate in 1990 from the University of California, Berkeley , under Robin Hartshorne ( Surfaces in the Four-Dimensional Grassmannian ). As a post-doctoral student he was Assistant Professor at the University of Michigan (1990-1993) and at MSRI in 1992/93 . From 1993 he was Assistant Professor (with tenure ) at Cornell University and from 1997 Associate Professor. At the same time he was from 1998 lecturer and from 2001 reader at the University of Warwick , where he was professor in 2002/03. From 2001 to 2013 he was a professor at the University of California, San Diego , and from 2013 professor at the University of Cambridge . He has been a Fellow of King's College since 2016.

He deals with algebraic geometry and its applications in string theory ( mirror symmetry , Calabi-Yau varieties , dualities). With Siebert he is pursuing a program of explaining mirror symmetry from the study of degenerate Calabi-Yau manifolds in the context of algebraic geometry. This had its origin in a conjecture by Andrew Strominger , Shing-Tung Yau and Eric Zaslow from 1996, which provided a geometrical justification for the existence of mirror symmetries between Calabi-Yau manifolds. The program pursued by Gross and Siebert also created connections to tropical geometry , logarithmic geometry and the theory of Gromov-Witten invariants, among other things , and found application beyond mirror symmetry.

He was invited speaker at the International Congress of Mathematicians in Seoul 2014 (Local mirror symmetry in the tropics, with Bernd Siebert ). For 2016 he was awarded the Clay Research Award . In 2017 he was elected to the Royal Society .

Fonts

  • Topological Mirror Symmetry, Inventiones Mathematicae, Volume 144, 2001, pp. 75-137, Arxiv
  • with D. Joyce , D. Huybrechts (Eds.), Calabi-Yau Manifolds and related Geometries (Nordfjordeid 2001), Springer
  • with B. Siebert: From real affine geometry to complex geometry, Annals of Mathematics, Volume 174, 2011, pp. 1301–1428, Arxiv
  • with Paul S. Aspinwall a . a .: Dirichlet branes and Mirror Symmetry, Clay Mathematics Monographs 4, 2009
  • Tropical geometry and mirror symmetry, CBMS Regional conference series in Mathematics 114, AMS, 2011
  • Mirror Symmetry for and Tropical Geometry, Preprint 2009, Arxiv
  • The Strominger-Yau-Zaslow conjecture: From torus fibrations to degenerations, AMS Symposium Algebraic Geometry, Seattle 2005, Preprint 2008, Arxiv
  • Mirror Symmetry and the Strominger-Yau-Zaslow conjecture, Current Developments in Mathematics 2012, Arxiv

Web links

Individual evidence

  1. ↑ Mark Gross in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Arxiv
personal data
SURNAME Big, Mark
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH November 30, 1965