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# Alexander Braverman

Adjunct Professor of Mathematics

CONTACT INFO

Email: braval<at>math.brown.edu

Mailing Address:

Mathematics Department
Box 1917
Brown University
Providence, RI 02912

RESEARCH INTERESTS

Representation Theory
Algebraic Geometry

BACKGROUND

Education: Ph.D., Tel-Aviv University, 1998

RECENT PUBLICATIONS

Gluing of abelian categories and differential operators on the basic affine space. J. Inst. Math. Jussieu 1 (2002), no. 4, 543--557.(w/ Bezrukavnikov, Roman; Positselskii, Leonid

Geometric Eisenstein series. Invent. Math. 150 (2002), no. 2, 287--384. (w/ Gaitsgory, D.)

Intersection cohomology of Drinfeld's compactifications. Selecta Math. (N.S.) 8 (2002), no. 3, 381--418. (w/ Finkelberg, M.; Gaitsgory, D.; Mirkovi\'c, I.)

$\gamma$-functions of representations and lifting. With an appendix by V. Vologodsky. GAFA 2000 (Tel Aviv, 1999). Geom. Funct. Anal. 2000, Special Volume, Part I, 237--278.(w/ Kazhdan, D.)

Crystals via the affine Grassmannian. Duke Math. J.107 (2001), no. 3, 561--575. (w/ Gaitsgory, Dennis)

On the Schwartz space of the basic affine space. Selecta Math. (N.S.) 5 (1999), no. 1, 1--28. (w/ Kazhdan, David)
On Ginzburg's Lagrangian construction of representations of ${\rm GL}(n)$. Math. Res. Lett. 6 (1999), no. 2, 195--201.(w/ Gaitsgory, Dennis)

The minimal realization from deformation theory. J. Algebra 205 (1998), no. 1, 13--36. (w/ Joseph, Anthony)

The Cohen-Macaulay property of the category of $(\germ g,K)$-modules. Selecta Math. (N.S.) 3 (1997), no. 3, 303--314. (w/ Bernstein, Joseph; Gaitsgory, Dennis)

Quantum integrable systems and differential Galois theory. Transform. Groups 2 (1997), no. 1, 31--56.(w/ Etingof, P.; Gaitsgory, D.)

Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszu type. J.Algebra 181 (1996), no. 2, 315--328. (w/ Gaitsgory, Dennis)

On quantum flag algebras. C. R. Acad. Sci. Paris Sér. I Math. 320 (1995), no. 9, 1055--1059.

On embeddings of quantum groups. C. R. Acad. Sci. Paris Sér. I Math. 319 (1994), no. 2, 111--115.

LINKS

Lysenko