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Faculty Member

Alexander Braverman

Associate Professor of Mathematics

CONTACT INFO

Office: 218 Kassar-Gould House
Phone: (401) 863-7962
Fax: (401) 863-9013
Email: braval<at>math.brown.edu

Mailing Address:

    Mathematics Department
    Box 1917
    Brown University
    Providence, RI 02912

COURSE SCHEDULE

Fall 2012 Semester

Math 2050

Math 0200

Spring 2013 Semester

Math 2720

 

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