Mark Gross (mathematician)
Mark William Gross is an American mathematician, specializing in differential geometry, algebraic geometry, and mirror symmetry.
Early life and education
Mark William Gross was born on 30 November 1965 in Ithaca, New York, to Leonard Gross and Grazyna Gross. From 1982, he studied at Cornell University, graduating with a bachelor's degree in 1984. He gained a PhD in 1990 from the University of California, Berkeley, for research supervised by Robin Hartshorne with a thesis on the surfaces in the four-dimensional Grassmannian.Career
From 1990 to 1993 he was an assistant professor at the University of Michigan and spent the academic year 1992–1993 on leave as a postdoctoral researcher at the Mathematical Sciences Research Institute (MSRI) in Berkeley. He was at Cornell University in 1993–1997 an assistant professor and in 1997–2001 an associate professor and then at University of California, San Diego in 2001–2013 a full professor. He was a visiting professor at the University of Warwick in the academic year 2002–2003. Since 2013, he has been a professor at the University of Cambridge and since 2016, a Fellow of King's College, Cambridge.Research
Gross works on complex geometry, algebraic geometry, and mirror symmetry. Gross and Bernd Siebert jointly developed a program for studying mirror symmetry within algebraic geometry.Selected publications
- Topological Mirror Symmetry, Inventiones Mathematicae, vol. 144, 2001, pp. 75–137,
- with D. Joyce, D. Huybrechts, Calabi–Yau Manifolds and related Geometries, Springer ;
- with B. Siebert: From real affine geometry to complex geometry, Annals of Mathematics, vol. 174, 2011, pp. 1301–1428,
- with Paul S. Aspinwall, Tom Bridgeland, Alastair Craw, Michael R. Douglas, Anton Kapustin, Gregory W. Moore, Graeme Segal, Balázs Szendrői, and P. M. H. Wilson:, Clay Mathematics Monographs 4, 2009
- , CBMS Regional conference series in Mathematics 114, AMS, 2011
- Mirror Symmetry for and Tropical Geometry, Preprint 2009,
- The Strominger–Yau–Zaslow conjecture: From torus fibrations to degenerations, AMS Symposium Algebraic Geometry, Seattle 2005, Preprint 2008,
- Mirror Symmetry and the Strominger–Yau–Zaslow conjecture, Current Developments in Mathematics 2012,