Mark Gross (mathematician)

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For other people named Mark Gross, see Mark Gross (disambiguation).
Mark Gross
FRS
File:Mark Gross Royal Society.jpg
Mark Gross at the Royal Society admissions day in London, July 2017
Born Mark William Gross
(1965-11-30) November 30, 1965 (age 59)
Ithaca, New York, US
Institutions <templatestyles src="Plainlist/styles.css"/>
Alma mater <templatestyles src="Plainlist/styles.css"/>
Thesis Surfaces in the Four-Dimensional Grassmannian (1990)
Doctoral advisor Robin Hartshorne[1]
Notable awards Clay Research Award (2016)[2]
Website
dpmms.cam.ac.uk/people/mg475/

Mark William Gross FRS [2] (30 November 1965)[3] is an American mathematician, specializing in differential geometry, algebraic geometry, and mirror symmetry.[4][5][6]

Education

Gross studied from 1982 at Cornell University graduating with a bachelor's degree in 1984 and received in 1990 a PhD from the University of California, Berkeley for research supervised by Robin Hartshorne[2][1] with a thesis on the Surfaces in the Four-Dimensional Grassmannian.[1]

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. At the University of Warwick, he was in the academic year 2002–2003 a visiting professor.[citation needed] Since 2013, he has been a professor at the University of Cambridge[7] and since 2016, a Fellow of King's College, Cambridge.[8]

His previous doctoral students have included Daniel Budreau,[1] Andrei Caldararu,[1] Ricardo Castano-Bernard,[1] Man Wai Cheung,[1] Karl Fredrickson,[1] Michael Kasa,[1] Diego Matessi,[1][9] Brandon Meredith,[1] Peter Overholser,[1] Simone Pavanelli[1] and Michael Slawinski.[1]

Research

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.[2][10]

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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.[11]

Selected publications

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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 in Seoul 2014.[13] In 2016 Gross and Siebert jointly received the Clay Research Award.[11] Gross was elected a Fellow of the Royal Society in 2017.[2][8]

References

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  1. ↑ 1.00 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 1.11 1.12 1.13 Mark Gross at the Mathematics Genealogy Project
  2. ↑ 2.0 2.1 2.2 2.3 2.4 Lua error in package.lua at line 80: module 'strict' not found. One or more of the preceding sentences incorporates text from the royalsociety.org website where: <templatestyles src="Template:Blockquote/styles.css" />

    “All text published under the heading 'Biography' on Fellow profile pages is available under Creative Commons Attribution 4.0 International License.” --Lua error in package.lua at line 80: module 'strict' not found.

  3. ↑ Anon (2017) Lua error in package.lua at line 80: module 'strict' not found. (subscription required)
  4. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  5. ↑ ICM2014 VideoSeries IL4.2: Mark Gross, Bernd Siebert on Aug14Thu, 9 August 2015 on YouTube
  6. ↑ Mark Gross – Mirror symmetry, Simons Collaboration on Homological Mirror Symmetry, 26 March 2016 on YouTube
  7. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  8. ↑ 8.0 8.1 Lua error in package.lua at line 80: module 'strict' not found.
  9. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  10. ↑ Mark Gross publications indexed by the Scopus bibliographic database. (subscription required)
  11. ↑ 11.0 11.1 Lua error in package.lua at line 80: module 'strict' not found.
  12. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  13. ↑ Lua error in package.lua at line 80: module 'strict' not found.
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