View source for Mark Gross (mathematician)

{{short description|American mathematician (born 1965)}}
{{Infobox scientist
| name              = Mark Gross
| honorific_suffix  = {{post-nominals|country=GBR|size=100%|FRS}}
| image             = Mark Gross Royal Society (cropped).jpg
| image_size        =
| image_upright     =
| alt               =
| caption           = Gross in 2017
| birth_date        = {{birth date and age|1965|11|30}}
| birth_place       = [[Ithaca, New York]], U.S.
| fields            =
| workplaces        = {{Plainlist|
* [[University of Cambridge]]
* [[University of Michigan]]
* [[Cornell University]]
* [[University of California, San Diego]]
* [[University of Warwick]]
}}
| education         =
| alma_mater        = {{Plainlist|
* [[Cornell University]]
* [[University of California, Berkeley]] (PhD)
}}
| thesis_title      = Surfaces in the Four-Dimensional Grassmannian
| thesis_url        = http://www.worldcat.org/oclc/993710799
| thesis_year       = 1990
| doctoral_advisor  = [[Robin Hartshorne]]<ref name=mathgene/>
| academic_advisors =
| doctoral_students =
| notable_students  =
| known_for         =
| influences        =
| influenced        =
| awards            = [[Clay Research Award]] (2016)<ref name=frs/>
| spouse            = <!--(or | spouses = )-->
| partner           = <!--(or | partners = )-->
| children          =
| website           = {{URL|dpmms.cam.ac.uk/people/mg475/}}<br>{{URL|https://www.dpmms.cam.ac.uk/~mg475/}}
}}
'''Mark William Gross''' {{post-nominals|country=GBR|FRS}}<ref name=frs/> (born 30 November 1965)<ref name=whoswho>{{Who's Who | title=Gross, Prof. Mark William | id = U289284 | doi=10.1093/ww/9780199540884.013.U289284}}</ref> is an American mathematician, specializing in [[differential geometry]], [[algebraic geometry]], and [[Mirror symmetry (string theory)|mirror symmetry]].<ref>{{cite web|url=https://www.dpmms.cam.ac.uk/~mg475/|title=Mark Gross|website=dpmms.cam.ac.uk|access-date=21 August 2017}}</ref><ref>{{YouTube|id=U3gRJeH7_Z4|title= ICM2014 VideoSeries IL4.2: Mark Gross, Bernd Siebert on Aug14Thu, 9 August 2015}}</ref><ref>{{YouTube|id=UYZatN59Z7k|title= Mark Gross – Mirror symmetry, Simons Collaboration on Homological Mirror Symmetry, 26 March 2016}}</ref>

==Early life and education==
Mark William Gross was born on 30 November 1965 in [[Ithaca, New York]], to [[Leonard Gross]] and Grazyna Gross.<ref name=whoswho/> From 1982, he studied at [[Cornell University]], graduating with a bachelor's degree in 1984.<ref name=whoswho/> He gained a PhD in 1990 from the [[University of California, Berkeley]],<ref name=whoswho/> for research supervised by [[Robin Hartshorne]]<ref name=frs/><ref name=mathgene/> with a thesis on the surfaces in the four-dimensional [[Grassmannian]].<ref name=mathgene>{{MathGenealogy|id=31823}}</ref>

==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|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]]<ref>{{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}}</ref> and since 2016, a Fellow of [[King's College, Cambridge]].<ref name=ElectedFRS>{{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}}</ref>

==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.<ref name=frs/><ref name=scopus>{{Scopus id}}</ref>

{{blockquote|The Gross–Siebert program builds on an earlier, differential-geometric, proposal of [[Andrew Strominger|Strominger]], [[Shing-Tung Yau|Yau]], and [[Eric Zaslow|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, [[mathematical analysis|analysis]] and [[combinatorics]] and has made a deep impact on fields such as [[Tropical geometry|tropical]] and [[non-Archimedean geometry|non-archimedean geometry]], [[logarithmic geometry]], the calculation of [[Gromov–Witten invariant]]s, the theory of [[cluster algebra]]s and combinatorial [[representation theory]].<ref name=CRAnews>{{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}}</ref>}}

==Selected publications==
{{div col|colwidth=35em}}
*Topological Mirror Symmetry, Inventiones Mathematicae, vol. 144, 2001, pp.&nbsp;75–137,  {{arXiv|math/9909015}} {{free access}}
*with [[Dominic Joyce|D. Joyce]], D. Huybrechts (eds.), Calabi–Yau Manifolds and related Geometries (Nordfjordeid 2001), Springer {{mr|1963559}};<ref>{{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}}</ref> [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.&nbsp;1301–1428, {{arXiv|math/0703822}} {{free access}}
*with [[Paul S. Aspinwall]], Tom Bridgeland, Alastair Craw, [[Michael R. Douglas]], [[Anton Kapustin]], [[Greg Moore (physicist)|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 <math>P^2</math> 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}}
{{div col end}}

===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.<ref>{{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}}</ref> In 2016 Gross and Siebert jointly received the [[Clay Research Award]].<ref name=CRAnews/> Gross was elected a [[Fellow of the Royal Society]] in 2017.<ref name=frs>{{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 license|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 }}}}</ref><ref name=ElectedFRS/>

==References==
{{Reflist|35em}}

{{FRS 2017}}

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{{DEFAULTSORT:Gross, Mark William}}
[[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]]