Fred Diamond

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Education
1983 B.A., University of Michigan 1988 Ph.D., Princeton University Thesis: On Congruence Modules Associated to Λ-Adic Forms Advisor: Andrew Wiles
Employment
1988-1989 Visiting Lecturer, Ohio State University 1989-1990 Visiting Assistant Professor, Boston University 1990-1994 Associate Professor, Columbia University 1994-1996 EPSRC Research Associate, University of Cambridge 1996-1997 Lecturer, Massachusetts Institute of Technology 1997-1999 Associate Professor, Rutgers University 1999-2002 Associate Professor, Brandeis University Currently Professor, Brandeis University
List of Students in Chronological Order
Jayanta Manoharmayum, University of Cambridge, 1999 Jongmin Lee, Brandeis University, 2003 Eric Bone, Brandeis University, 2004 Aftab Pande, Brandeis University, 2006
Honors and Adwards
1997–1999 American Mathematical Society Centennial Fellowship 1985–1988 National Science Foundation Graduate Fellowship

Fred Diamond (born November 19, 1964) is an American mathematician. His research interest is in modular forms and Galois representations.

[edit] List of Publications

On congruence modules associated to Λ-adic forms, Compositio Mathematica 71 (1989), 49–83.
Congruence primes for cusp forms of weight k ≥ 2, Ast´erisque 196-197 (1991), 205–213.
(with R. Taylor) Non-optimal levels of mod l modular representations, Inventiones Mathematicae 115 (1994), 435–462.
Lifting modular mod l representations (with R. Taylor), Duke Mathematical Journal 74 (1994), 253–269.
The refined conjecture of Serre, in Elliptic Curves, Modular Forms & Fermat’s Last Theorem, J. Coates, S. T. Yau, eds., International Press (1995), 22–37.
Modularity of a family of elliptic curves (with K. Kramer), Mathematical Research Letters 2 (1995), 299–305.
Modular forms and modular curves (with J. Im), in Seminar on Fermat’s Last Theorem, V. K. Murty, ed., CMS Conference Proceedings 17 (1995), 39–133.
Fermat’s Last Theorem (with H. Darmon and R. Taylor), in Current Developments in Mathematics, 1995, R. Bott, A. Jaffe, M. Hopkins, I. Singer, D. Stroock, S. T. Yau, eds., International Press (1996), 1–154.
On deformation rings and Hecke rings, Annals of Mathematics 144 (1996), 137–166.
The Taylor-Wiles construction and multiplicity one, Inventiones Mathematicae 128 (1997), 379–391.
Congruences between modular forms: Raising the level and dropping Euler factors, Proceedings of the National Academy of Sciences 94 (1997), 11143–11146.
An extension of Wiles’ results, in Modular Forms and Fermat’s Last Theorem, G. Cornell, J. Silverman, G. Stevens, eds., Springer-Verlag (1997), 475–489.
l-adic modular deformations and Wiles’s “Main Conjecture” (with K. Ribet), in Modular Forms and Fermat’s Last Theorem, G. Cornell, J. Silverman, G. Stevens, eds., Springer-Verlag (1997), 357–371.
On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces, in Number Theory, V. K. Murty, M. Waldschmidt, eds., Contemporary Mathematics, 210 (1998), 71–83.
Modularity of certain potentially Barsotti-Tate Galois representations (with B. Conrad and R. Taylor), Journal of the American Mathematical Society, 12 (1999), 521–567.
On the modularity of elliptic curves over Q: Wild 3-adic exercises (with C. Breuil, B. Conrad and R. Taylor), Journal of the American Mathematical Society, 14 (2001), 843–939.
The Bloch-Kato conjecture for adjoint motives of modular forms (withM. Flach and L. Guo), Mathematical Research Letters 8 (2001), 437–442.
The Tamagawa number conjecture of adjoint motives of modular forms (with M. Flach and L. Guo), Annales Scientifiques de l’Ècole Normale Sup´erieure 37 (2004), 663–727.
A First Course in Modular Forms (with J. Shurman), Graduate Texts in Mathematics 228, Springer, 2005.