1994--1997 Massachusetts Institute of Technology
Ph.D. in Mathematics, June 1997
Thesis: Enumeration in Algebra and Geometry
Thesis advisor: Richard Stanley
1993--1994 Graduate studies at Moscow Independent University, Russia
1988--1993 Moscow State University, Russia
M.S. Diploma with honors in Mathematics, June 1993
Advisor: Askold Khovanskii
Employment:
2006--present Massachusetts Institute of Technology
Associate Professor of Applied Mathematics
2001--2006 Massachusetts Institute of Technology
Assistant Professor of Applied Mathematics
1999--2001 University of California, Berkeley
Miller Institute for Basic Research in Science
Miller Research Fellow
1997--1999 Massachusetts Institute of Technology
Applied Mathematics Instructor
Fields of Interest:
Combinatorics, its applications, and its relationship
with algebra, geometry, representation theory, physics,
and analysis.
Grants, Awards, and Fellowships:
2006--present NSF CAREER Award DMS-0504629
2006 Edmund F. Kelly Research Award, M.I.T.
2003--2006 Alfred P. Sloan Foundation Research Fellowship
2002--2005 NSF Grant DMS-0201494
2002--present Solomon Buchsbaum AT&T Research Fund, M.I.T.
1999--2001 Miller Research Fellowship, UC Berkeley
1998--2000 NSF Grant DMS-9840383
Основные публикации:
1. MR2608410 Ardila, Federico; Postnikov, Alexander Combinatorics and geometry of power ideals. Trans. Amer. Math. Soc. 362 (2010), no. 8, 4357--4384.
2. MR2576844 Chebikin, Denis; Postnikov, Alexander Generalized parking functions, descent numbers, and chain polytopes of ribbon posets. Adv. in Appl. Math. 44 (2010), no. 2, 145--154.
3. MR2525057 (2010f:20043) Postnikov, Alexander; Speyer, David; Williams, Lauren Matching polytopes, toric geometry, and the totally non-negative Grassmannian. J. Algebraic Combin. 30 (2009), no. 2, 173--191.
4. MR2487491 (2010g:05399) Postnikov, Alexander Permutohedra, associahedra, and beyond. Int. Math. Res. Not. IMRN 2009, no. 6, 1026--1106.
5. MR2475632 Postnikov, Alexander; Stanley, Richard P. Chains in the Bruhat order. J. Algebraic Combin. 29 (2009), no. 2, 133--174.
И. М. Пак, А. Е. Постников, “Трансверсальные матроиды и страты на грассманиане”, Функц. анализ и его прил., 29:2 (1995), 84–88; I. M. Pak, A. E. Postnikov, “Transversal Matroids and Strata on Grassmannians”, Funct. Anal. Appl., 29:2 (1995), 140–143
1994
2.
И. М. Пак, А. Е. Постников, “Резольвенты для $S_n$-модулей, отвечающих косым крюкам, и комбинаторные приложения”, Функц. анализ и его прил., 28:2 (1994), 72–75; I. M. Pak, A. E. Postnikov, “Resolutions for $S_n$-Modules, Associated with Rim Hooks, and Combinatorial Applications”, Funct. Anal. Appl., 28:2 (1994), 132–134
А. Г. Кузнецов, И. М. Пак, А. Е. Постников, “Возрастающие деревья и альтернирующие перестановки”, УМН, 49:6(300) (1994), 79–110; A. G. Kuznetsov, I. M. Pak, A. E. Postnikov, “Increasing trees and alternating permutations”, Russian Math. Surveys, 49:6 (1994), 79–114
И. М. Пак, А. Е. Постников, “Перечисление остовных деревьев некоторых графов”, УМН, 45:3(273) (1990), 193–194; I. M. Pak, A. E. Postnikov, “Enumeration of spanning trees of certain graphs”, Russian Math. Surveys, 45:3 (1990), 220–221