Mark Gross (mathematician)
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Mark William Gross (born 30 November 1965)Anon (2017) is an American mathematician, specializing in differential geometry, algebraic geometry, and mirror symmetry.


Education

Gross studied from 1982 at
Cornell University Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to ...
graduating with a bachelor's degree in 1984 and received in 1990 a PhD from the
University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...
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 , mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As o ...
and spent the academic year 1992–1993 on leave as a
postdoctoral researcher A postdoctoral fellow, postdoctoral researcher, or simply postdoc, is a person professionally conducting research after the completion of their doctoral studies (typically a PhD). The ultimate goal of a postdoctoral research position is to pu ...
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 The University of California, San Diego (UC San Diego or colloquially, UCSD) is a public university, public Land-grant university, land-grant research university in San Diego, California. Established in 1960 near the pre-existing Scripps Insti ...
in 2001–2013 a full professor. He was a visiting professor at the
University of Warwick , mottoeng = Mind moves matter , established = , type = Public research university , endowment = £7.0 million (2021) , budget = £698.2 million (202 ...
in the academic year 2002–2003. Since 2013, he has been a professor at the
University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
and since 2016, a Fellow of
King's College, Cambridge King's College is a constituent college of the University of Cambridge. Formally The King's College of Our Lady and Saint Nicholas in Cambridge, the college lies beside the River Cam and faces out onto King's Parade in the centre of the cit ...
.


Research

Gross works on
complex geometry In mathematics, complex geometry is the study of geometric structures and constructions arising out of, or described by, the complex numbers. In particular, complex geometry is concerned with the study of spaces such as complex manifolds and co ...
, algebraic geometry, and mirror symmetry. Gross and Bernd Siebert jointly developed a program (known as the Gross–Siebert 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 (eds.), Calabi–Yau Manifolds and related Geometries (Nordfjordeid 2001), Springer
2012 reprint
*with B. Siebert: From real affine geometry to complex geometry, Annals of Mathematics, vol. 174, 2011, pp. 1301–1428, *with
Paul S. Aspinwall Paul Stephen Aspinwall (born 26 January 1964 in England) is a British theoretical physicist and mathematician, who works on string theory (including dualities, mirror symmetry, D-branes, and Calabi–Yau manifolds) and also algebraic geometry. A ...
, Tom Bridgeland, Alastair Craw, Michael R. Douglas,
Anton Kapustin Anton Nikolayevich Kapustin (born November 10, 1971, Moscow) is a Russian-American theoretical physicist and the Earle C. Anthony Professor of Theoretical Physics at the California Institute of Technology. His interests lie in quantum field theo ...
, Gregory W. Moore, Graeme Segal, Balázs Szendrői, and P. M. H. Wilson
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 P^2 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,


Awards and honors

Gross was an Invited Speaker, jointly with Siebert, with talk ''Local mirror symmetry in the tropics'' at the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...
in Seoul 2014. In 2016 Gross and Siebert jointly received the
Clay Research Award __NOTOC__ The Clay Research Award is an annual award given by the Oxford-based Clay Mathematics Institute to mathematicians to recognize their achievement in mathematical research. The following mathematicians have received the award: {, class=" ...
. Gross was elected a
Fellow of the Royal Society Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the judges of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural knowledge, including mathematic ...
in 2017. One or more of the preceding sentences incorporates text from the royalsociety.org website where:


References

{{DEFAULTSORT:Gross, Mark William 1965 births Living people 20th-century American mathematicians 21st-century American mathematicians Differential geometers Algebraic geometers Cornell University alumni University of California, Berkeley alumni Cornell University faculty University of California, San Diego faculty Academics of the University of Cambridge Fellows of the Royal Society Fellows of King's College, Cambridge University of Michigan faculty