American mathematician (born 1965)
Mark William Gross
FRS
[1]
(born 30 November 1965)
[3]
is an American mathematician, specializing in
differential geometry
,
algebraic geometry
, and
mirror symmetry
.
[4]
[5]
[6]
Early life and education
[
edit
]
Mark William Gross was born on 30 November 1965 in
Ithaca, New York
, to
Leonard Gross
and Grazyna Gross.
[3]
From 1982, he studied at
Cornell University
, graduating with a bachelor's degree in 1984.
[3]
He gained a PhD in 1990 from the
University of California, Berkeley
,
[3]
for research supervised by
Robin Hartshorne
[1]
[2]
with a thesis on the surfaces in the four-dimensional
Grassmannian
.
[2]
Career
[
edit
]
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
]
Since 2013, he has been a professor at the
University of Cambridge
[7]
and since 2016, a Fellow of
King's College, Cambridge
.
[8]
Research
[
edit
]
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.
[1]
[9]
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
.
[10]
Selected publications
[
edit
]
- Topological Mirror Symmetry, Inventiones Mathematicae, vol. 144, 2001, pp. 75?137,
arXiv
:
math/9909015
- with
D. Joyce
, D. Huybrechts (eds.), Calabi?Yau Manifolds and related Geometries (Nordfjordeid 2001), Springer
MR
1963559
;
[11]
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
- with
Paul S. Aspinwall
, Tom Bridgeland, Alastair Craw,
Michael R. Douglas
,
Anton Kapustin
,
Gregory W. Moore
,
Graeme Segal
, Balazs Szendr?i, 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
MR
2722115
- Mirror Symmetry for
and Tropical Geometry, Preprint 2009,
arXiv
:
0903.1378
- The Strominger?Yau?Zaslow conjecture: From torus fibrations to degenerations, AMS Symposium Algebraic Geometry, Seattle 2005, Preprint 2008,
arXiv
:
0802.3407
- Mirror Symmetry and the Strominger?Yau?Zaslow conjecture, Current Developments in Mathematics 2012,
arXiv
:
1212.4220
Awards and honors
[
edit
]
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.
[12]
In 2016 Gross and Siebert jointly received the
Clay Research Award
.
[10]
Gross was elected a
Fellow of the Royal Society
in 2017.
[1]
[8]
References
[
edit
]
- ^
a
b
c
d
e
Anon (2017).
"Professor Mark Gross FRS"
.
royalsociety.org
. London:
Royal Society
. Archived from
the original
on 2017-08-15.
One or more of the preceding sentences incorporates text from the royalsociety.org website where:
“All text published under the heading 'Biography' on Fellow profile pages is available under
Creative Commons Attribution 4.0 International License
.” --
"Royal Society Terms, conditions and policies"
. Archived from the original on 2016-11-11
. Retrieved
2016-03-09
.
{{
cite web
}}
: CS1 maint: bot: original URL status unknown (
link
)
- ^
a
b
c
Mark Gross
at the
Mathematics Genealogy Project
- ^
a
b
c
d
"Gross, Prof. Mark William"
.
Who's Who
. A & C Black.
doi
:
10.1093/ww/9780199540884.013.U289284
.
(Subscription or
UK public library membership
required.)
- ^
"Mark Gross"
.
dpmms.cam.ac.uk
. Retrieved
21 August
2017
.
- ^
ICM2014 VideoSeries IL4.2: Mark Gross, Bernd Siebert on Aug14Thu, 9 August 2015
on
YouTube
- ^
Mark Gross ? Mirror symmetry, Simons Collaboration on Homological Mirror Symmetry, 26 March 2016
on
YouTube
- ^
"2016, C.V. Dr. Mark Gross"
(PDF)
.
dpmms.cam.ac.uk
. Retrieved
21 August
2017
.
- ^
a
b
"Mark Gross elected Fellow of Royal Society"
.
kings.cam.ac.uk
. Retrieved
21 August
2017
.
- ^
Mark Gross
publications indexed by the
Scopus
bibliographic database.
(subscription required)
- ^
a
b
"2016 Clay Research Awards - Clay Mathematics Institute"
.
claymath.org
. Retrieved
21 August
2017
.
- ^
Thomas, Richard
.
"Review of
Calabi?Yau manifolds and related geometries
edited by Mark Gross, Daniel Huybrechts and Dominic Joyce"
.
people.maths.ox.ac.uk
. Retrieved
2017-08-21
.
- ^
Gross, Mark; Siebert, Bernd (2014). "Local mirror symmetry in the tropics".
arXiv
:
1404.3585
[
math.AG
].
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