MATTHEW JAMES EMERTON
Curriculum Vitae
June ****Northwestern UniversityDepartment of Mathematics
Evanston, IL 60208
United States
email: *******@****.************.***
web-page: http://www.math.northwestern.edu/~emerton
Education:
Harvard University: Ph.D., June 1998
University of Melbourne: B.Sc. (Honours), November 1993
Thesis:
2-adic modular forms of minimal slope, May 1998
(Adviser: Professor Barry Mazur, Harvard University)
Research Interests:
Number Theory
Representation Theory
Algebraic Geometry
Appointments:
ProfessorDepartment of Mathematics, Northwestern University
Evanston, Illinois, United States
September 2008present
Associate ProfessorDepartment of Mathematics, Northwestern University
Evanston, Illinois, United States
September 2005September 2008
Assistant ProfessorDepartment of Mathematics, Northwestern University
Evanston, Illinois, United States
June 2001September 2005
Assistant ProfessorDepartment of Mathematics, University of Chicago
Chicago, Illinois, United States
July 2000June 2001
Assistant ProfessorDepartment of Mathematics, University of Michigan
Ann Arbor, Michigan, United States
September 1998July 2000
Research Grants:
National Science Foundation award no. DMS-1002339
Project title: p-adic aspects of the Langlands program
Project period: June 1, 2010 May 31, 2013
Principal investigator: Matthew Emerton
Grant amount: $240,000
National Science Foundation award no. DMS-0636646
Project title: Geometry and physics
Project period: February 2007 February 2012.
Principal investigators: Ezra Getzler, Boris Tsygan, Eric Zaslow
Co-investigators: Kevin Costello, Matthew Emerton, Yuri Manin, David Nadler, Dimitri
Tamarkin,
Kari Vilonen, Jared Wunsch
Grant amount: $1,290,080
National Science Foundation award no. DMS-0701315
Project title: p-adic aspects of the Langlands program
Project period: June 1, 2007 May 31, 2010
Principal investigator: Matthew Emerton
Grant amount: $186,002
National Science Foundation award no. DMS-0401545
Project title: Locally analytic representation theory and p-adic interpolation
Project period: June 1, 2004 May 31, 2007
Principal investigator: Matthew Emerton
Grant amount: $185,904
National Science Foundation award nos. DMS-0070711, DMS-0296095, DMS-0241562
Project title: A p-adic Riemann-Hilbert correspondence
Project period: July 1, 2000 June 30, 2004
Principal investigator: Matthew Emerton
Grant amount: $79,324
Editorships:
Selecta Mathematica (member of editorial board)
Publications:
Completed cohomology A survey (joint with Frank Calegari), available electronically at
http://www.math.northwestern.edu/~emerton/preprints.html, 9 pages.
Local-global compatibility in the p-adic Langlands programme for GL, available
electronically at
2/Q
http://www.math.northwestern.edu/~emerton/preprints.html, 116 pages.
On a class of coherent rings, with applications to the smooth representation theory of GL
(Q ) in char-
2 p
acteristic p, available electronically at
http://www.math.northwestern.edu/~emerton/preprints.html,
13 pages.
p-adic families of modular forms [after Hida, Coleman, and Mazur], to appear in the
proceedings of the
S'eminaire Bourbaki, 2009-2010, 29 pages.
Jacquet modules of locally analytic representations of p-adic reductive groups II. The
relation to parabolic
induction, to appear in the Journal of the Institute of Mathematics of Jussieu, 80 pages.
On the effaceability of certain d-functors (joint with Vytautus Pa?sk-unas), Ast'erisque,
vol. 331 (2010), 439
447.
Ordinary parts of admissible representations of p-adic reductive groups II. Derived
functors, Ast'erisque,
vol. 331 (2010), 383 438.
Ordinary parts of admissible representations of p-adic reductive groups I. Definition and
first properties,
Ast'erisque, vol. 331 (2010), 335 381.
Bounds for multiplicities of unitary representations of cohomological type in spaces of
cusp forms (joint with
Frank Calegari), Annals of Mathematics, vol. 170 (2009), 1437 1446.
Repr'esentations p-adique ordinaires de GL (Q ) et compatibilit'e local-global (joint
with Christophe Breuil),
2 p
Ast'erisque, vol. 331 (2010), 235 295.
Elliptic curves of odd modular degree (joint with Frank Calegari), Israel Journal of
Mathematics, vol. 169
(2009), pp. 417 444.
Locally analytic representation theory of p-adic reductive groups: A summary of some
recent developments, in
L-functions and Galois representations (D. Burns, K. Buzzard and J. Nekov'a?r, eds.),
London Mathematical
Society Lecture Note Series, vol. 320, 2007, 407 437.
A report on the AIM working group on mod p local Langlands, available electronically at
http://www.aimath.org/WWN/padicmodularity, 6 pages.
A local-global compatibility conjecture in the p-adic Langlands programme for GL, Pure
and Applied
2/Q
Mathematics Quarterly, vol. 2 (2006), no. 2 (Special issue: In honour of John Coates
60th birthday, part 2
A new proof of a theorem of Hida, International Mathematics Research Notices (1999) no.
9, 453 472.
Extensions of crystalline representations (joint with Mark Kisin), Preprintreihe, SFB 478
- Geometrische
Strukturen in der Mathematik, 1999, 50 pages.