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Template:Short description Daniel Willis Bump (born 13 May 1952) is a mathematician who is a professor at Stanford University working in representation theory. He is a fellow of the American Mathematical Society since 2015, for "contributions to number theory, representation theory, combinatorics, and random matrix theory, as well as mathematical exposition".[1]
He has a Bachelor of Arts from Reed College, where he graduated in 1974.[2] He obtained his Ph.D. from the University of Chicago in 1982 under the supervision of Walter Lewis Baily, Jr.[3] Among Bump's doctoral students is president of the National Association of Mathematicians, Edray Goins.
Selected publications
Articles
- Bump, D., Friedberg, S., & Hoffstein, J. (1990). "Nonvanishing theorems for L-functions of modular forms and their derivatives". Inventiones Mathematicae, 102(1), pp. 543–618.
- Bump, D., & Ginzburg, D. (1992). "Symmetric square L-functions on GL(r)". Annals of Mathematics, 136(1), pp. 137–205. Template:Doi
- Bump, D., Friedberg, S., & Hoffstein, J. (1996). "On some applications of automorphic forms to number theory", Bulletin of the American Mathematical Society, 33(2), pp. 157–175. Template:Doi
- Bump, D., Choi, K. K., Kurlberg, P., & Vaaler, J. (2000). "A local Riemann hypothesis, I". Mathematische Zeitschrift, 233(1), pp. 1–18.
- Bump, D., & Diaconis, P. (2002). "Toeplitz minors". Journal of Combinatorial Theory, Series A, 97(2), pp. 252–271.
- Bump, D., Gamburd, A. (2006). On the averages of characteristic polynomials from classical groups, Commun. Math. Phys., 265(1), pp. 227–274. Template:Doi
- Brubaker, B., Bump, D., & Friedberg, S. (2011). Schur polynomials and the Yang-Baxter equation, Commun. Math. Phys., 308(2), pp. 281–301. Template:Doi
Books
- Bump, D. (1984). Automorphic forms on GL(3,), Springer-Verlag.
- Bump, D. (1996). Automorphic forms and representations. Cambridge University Press.[4] 1998 pbk edition
- Bump, D. (1998). Algebraic Geometry. World Scientific.
- Bump, D. (2004). Lie Groups. Springer. Template:ISBN. 2nd edition, 2013[5]
- Bump, D., & Schilling A. (2017). "Crystal Bases: Representations and Combinatorics". World Scientific