Mark Gross (mathematician)

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.{{MathGenealogy|id=31823}}

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.{{citation needed|date=December 2017}} Since 2013, he has been a professor at the University of Cambridge{{cite web|url=https://www.dpmms.cam.ac.uk/~mg475/cv2016.pdf|title=2016, C.V. Dr. Mark Gross|website=dpmms.cam.ac.uk|access-date=21 August 2017}} and since 2016, a Fellow of King's College, Cambridge.{{cite web|url=http://www.kings.cam.ac.uk/news/2017/mark-gross-elected-fellow-royal-society|title=Mark Gross elected Fellow of Royal Society|website=kings.cam.ac.uk|access-date=21 August 2017}}

Gross works on complex geometry, 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.{{Scopus id}}

{{blockquote|The Gross–Siebert program builds on an earlier, differential-geometric, proposal of Strominger, Yau, and Zaslow, in which the Calabi–Yau manifold is fibred by special Lagrangian tori, and the mirror by dual tori. The program's central idea is to translate this into an algebro-geometric construction in an appropriate limit, involving combinatorial data associated with a degenerating family of Calabi–Yau manifolds. It draws on many areas of geometry, analysis and combinatorics and has made a deep impact on fields such as tropical and non-archimedean geometry, logarithmic geometry, the calculation of Gromov–Witten invariants, the theory of cluster algebras and combinatorial representation theory.{{cite web|url=http://claymath.org/events/news/2016-clay-research-awards|title=2016 Clay Research Awards - Clay Mathematics Institute|website=claymath.org|access-date=21 August 2017}}}}

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• Topological Mirror Symmetry, Inventiones Mathematicae, vol. 144, 2001, pp. 75–137, {{arXiv|math/9909015}} {{free access}}
• with D. Joyce, D. Huybrechts (eds.), Calabi–Yau Manifolds and related Geometries (Nordfjordeid 2001), Springer {{mr|1963559}};{{cite web|url=https://people.maths.ox.ac.uk/joyce/mrrev2.html|title=Review of Calabi–Yau manifolds and related geometries edited by Mark Gross, Daniel Huybrechts and Dominic Joyce|author=Thomas, Richard|author-link=Richard Thomas (mathematician)|website=people.maths.ox.ac.uk|access-date=2017-08-21}} [https://books.google.com/books?id=FFQOBwAAQBAJ 2012 reprint] {{ISBN missing}}
• with B. Siebert: From real affine geometry to complex geometry, Annals of Mathematics, vol. 174, 2011, pp. 1301–1428, {{arXiv|math/0703822}} {{free access}}
• 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: [http://www.claymath.org/library/monographs/cmim04.pdf Dirichlet branes and Mirror Symmetry], Clay Mathematics Monographs 4, 2009
• [http://www.math.ucsd.edu/~mgross/kansas.pdf Tropical geometry and mirror symmetry], CBMS Regional conference series in Mathematics 114, AMS, 2011 {{mr|2722115}}
• Mirror Symmetry for $P^2$ and Tropical Geometry, Preprint 2009, {{arXiv|0903.1378}} {{free access}}
• The Strominger–Yau–Zaslow conjecture: From torus fibrations to degenerations, AMS Symposium Algebraic Geometry, Seattle 2005, Preprint 2008, {{arXiv|0802.3407}} {{free access}}
• Mirror Symmetry and the Strominger–Yau–Zaslow conjecture, Current Developments in Mathematics 2012, {{arXiv|1212.4220}} {{free access}}

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Gross was an Invited Speaker, jointly with Siebert, with talk Local mirror symmetry in the tropics at the International Congress of Mathematicians in Seoul 2014.{{cite arXiv|title=Local mirror symmetry in the tropics|first1=Mark|last1=Gross|first2=Bernd|last2=Siebert|year= 2014|class=math.AG|eprint=1404.3585}} In 2016 Gross and Siebert jointly received the Clay Research Award. Gross was elected a Fellow of the Royal Society in 2017.{{cite web|author=Anon|year=2017|url=https://royalsociety.org/people/mark-gross-13391/|archive-url=https://web.archive.org/web/20170815024845/https://royalsociety.org/people/mark-gross-13391/|archive-date=2017-08-15|title=Professor Mark Gross FRS|publisher=Royal Society|location=London|website=royalsociety.org}} One or more of the preceding sentences incorporates text from the royalsociety.org website where: {{quote|“All text published under the heading 'Biography' on Fellow profile pages is available under Creative Commons Attribution 4.0 International License.” --{{cite web |url=https://royalsociety.org/about-us/terms-conditions-policies/ |title=Royal Society Terms, conditions and policies |access-date=2016-03-09 |url-status=bot: unknown |archive-url=https://web.archive.org/web/20161111170346/https://royalsociety.org/about-us/terms-conditions-policies/ |archive-date=2016-11-11 }}}}

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Category:1965 births

Category:Living people

Category:20th-century American mathematicians

Category:21st-century American mathematicians

Category:Differential geometers

Category:Algebraic geometers

Category:Cornell University alumni

Category:University of California, Berkeley alumni

Category:Cornell University faculty

Category:University of California, San Diego faculty

Category:Academics of the University of Cambridge

Category:Fellows of the Royal Society

Category:Fellows of King's College, Cambridge

Category:University of Michigan faculty