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Papers by Alexander Postnikov

  *   Papers listed at AMS MathSciNet

  *   Mathematics papers posted to e-Print ArXiv
        (if the above link does not work, try this link)

Papers are listed in the inverse chronological order.

  1. Bruhat order, smooth Schubert varieties, and hyperplane arrangements, Suho Oh, A. Postnikov, Hwanchul Yoo, to appear Journal of Combinatorial Theory, Series A.
    arXiv:0709.3259v1 [math.CO]
    PDF (14 pages)

  2. Combinatorial Gelfand models, R. Adin, A. Postnikov, Y. Roichman
    arXiv:0709.3962 [math.RT]
    PDF (13 pages)

  3. Matching polytopes, toric geometry, and the non-negative part of the Grassmannian, A. Postnikov, D. Speyer, L. Williams
    arXiv:0706.2501v1 [math.AG]
    PDF (26 pages)

  4. Total positivity, Grassmannians, and networks, A. Postnikov
    arXiv:math/0609764v1 [math.CO]
    PDF PS (85 pages)   updated version

  5. Faces of generalized permutohedra, A. Postnikov, V. Reiner, L. Williams
    math.CO/0609184
    PDF PS (55 pages)

  6. What power of two divides a weighted Catalan number? A. Postnikov, B. Sagan, to appear in Journal of Combinatorial Theory, Series A.
    math.CO/0601339
    PDF PS (9 pages)

  7. Permutohedra, associahedra, and beyond, A. Postnikov
    math.CO/0507163
    PDF PS (59 pages)

  8. Permutohedra, associahedra, and beyond (extended abstract), A. Postnikov, preprint dated November 21, 2004.
    PDF PS (12 pages)

  9. Schur positivity and Schur log-concavity, T. Lam, A. Postnikov, P. Pylyavskyy, to appear in American Journal of Mathematics.
    math.CO/0502446
    PDF PS (9 pages)

  10. Chains in the Bruhat order, A. Postnikov, R. Stanley, to appear in Journal of Algebraic Combinatorics.
    math.CO/0502363
    PDF PS (36 pages)

  11. A combinatorial model for crystals of Kac-Moody algebras, C. Lenart, A. Postnikov, to appear in Transactions of the American Mathematical Society.
    math.RT/0502147
    PDF PS (27 pages)

  12. Alcoved Polytopes I, T. Lam, A. Postnikov, to appear in Discrete & Computational Geometry.
    math.CO/0501246
    PDF PS (26 pages)

  13. Affine Weyl groups in K-theory and representation theory (extended abstract for FPSAC'04), C. Lenart, A. Postnikov.
    PDF (12 pages)

  14. Affine Weyl groups in K-theory and representation theory (full-size version), C. Lenart, A. Postnikov, to appear in International Mathematics Research Notices
    math.RT/0309207
    PDF PS (47 pages)

  15. On the X-rays of permutations, C. Bebeacua, T. Mansour, A. Postnikov, S. Severini: Electronic Notes in Discrete Mathematics 20 (2005), 193-203.
    math.CO/0506334
    PDF PS (12 pages)

  16. Trees, parking functions, syzygies, and deformations of monomial ideals, A. Postnikov, B. Shapiro: Transactions of the American Mathematical Society 356 (2004), 3109-3142.
    math.CO/0301110     MR2052943
    PDF PS (33 pages)

  17. Quantum Bruhat graph and Schubert polynomials, A. Postnikov: Proceedings of the American Mathematical Society 133 (2004), no. 3, 699--709.
    math.CO/0206077     MR2113918
    PDF PS (10 pages)

  18. Affine approach to quantum Schubert calculus, A. Postnikov: Duke Mathematical Journal, 128 (2005), no. 3, 473-509.
    math.CO/0205165     MR2145741
    PDF (33 pages)

  19. Smoothness of Schubert varieties via patterns in root systems, S. Billey, A. Postnikov: Advances in Applied Mathematics 34 (2005), 447-466.
    math.CO/0205179     MR2123545
    PDF (17 pages)

  20. PP-wave string interactions from perturbative Yang-Mills theory , N. R. Constable, D. Z. Freedman, M. Headrick, S.  Minwalla, L. Motl, A. Postnikov, W. Skiba: The Journal of High Energy Physics, (2002), no. 7, 017, 56 pp.
    hep-th/0205089     MR1940728
    PDF PS (56 pages)

  21. Syzygies of oriented matroids, I. Novik, A. Postnikov, B. Sturmfels: Duke Mathematical Journal 111 (2002), no. 2, 287--317.
    math.CO/0009241     MR1882136
    PDF (23 pages)

  22. Symmetries of Gromov-Witten invariants, A. Postnikov: Advances in Algebraic Geometry Motivated by Physics, Contemporary Mathematics 276 (2001), 251--258.
    math.CO/0009174     MR1837121
    PDF PS (8 pages)

  23. Littlewood-Richardson coefficients via Yang-Baxter equation, O. Gleizer, A. Postnikov: International Mathematics Research Notices 2000, no.14, 741--774.
    math.QA/9909124     MR2001g:20058
    PDF (34 pages)

  24. Deformations of Coxeter hyperplane arrangements, A. Postnikov, R. Stanley: Journal of Combinatorial Theory, Series A 91 (2000), no. 1-2, 544--597. (Special issue dedicated to G.-C. Rota.)
    math.CO/9712213 (older version of April 1997)     MR1780038
    PDF (54 pages)

  25. A lattice path approach to counting partitions with minimum rank t, A. Burstein, S. Corteel, A. Postnikov, C. Savage: Discrete Mathematics 249 (2002), no. 1-3, 31--39. (Special issue on the 12th Conference on Combinatorics, Graph Theory and Computing.)
    PDF (9 pages)

  26. On characters of Weyl groups, R. Adin, A. Postnikov, Y. Roichman: Discrete Mathematics 226 (2001), no. 1-3, 355--358.
    math.RT/0005021     MR2001j:20008
    PDF (4 pages)

  27. Hecke algebra actions on the coinvariant algebra, R. Adin, A. Postnikov, Y. Roichman: Journal of Algebra 233 (2000), no. 2, 594--613.
    math.RT/9908090     MR2001i:20010
    PDF (20 pages)

  28. Counting Morse curves and links, A. Postnikov, preprint dated December 4, 2000.
    PDF PS (8 pages)

  29. Mixed Bruhat operators and Yang-Baxter equations for Weyl groups, F. Brenti, S. Fomin, A. Postnikov: International Mathematics Research Notices 1999, no. 8, 419--441.
    math.QA/9805079     MR2000e:20067
    PDF (23 pages)

  30. On generalizations of Abel's and Hurwitz's identities, A. Kelmans, A. Postnikov: RUTCOR Research Report RRR 48-99, December 1999.
    PDF PS (8 pages)

  31. Tree and forest volumes of graphs, A. Kelmans, I. Pak, A. Postnikov: DIMACS Technical Report 2000-03, January 2000.
    PDF PS (31 pages)

  32. Algebras of curvature forms on homogeneous manifolds, A. Postnikov, B. Shapiro, M. Shapiro: in Differential Topology, Infinite-Dimensional Lie Algebras, and Applications: D. B. Fuchs 60th Anniversary Collection, AMS Translations, Series 2 194 (1999), 227--235.
    math.AG/9901075     MR2001a:53079
    PDF PS (9 pages)

  33. Chern forms on flag manifolds and forests, A. Postnikov, B. Shapiro, M. Shapiro: Proceedings of the 10-th International Conference FPSAC'98, Fields Institute, Toronto, 1998.
    PDF PS (5 pages)

  34. On a quantum version of Pieri's formula, A. Postnikov: Advances in Geometry, Progress in Mathematics 172 (1999), 371--383.
    MR99m:14096
    PDF PS (12 pages)

  35. Enumeration in algebra and geometry, A. Postnikov: Ph.D. thesis, MIT, June 1997 (thesis advisor Richard Stanley).
    PDF PS (88 pages)

  36. Quantum Schubert polynomials, S. Fomin, S. Gelfand, A. Postnikov: Journal of the American Mathematical Society 10 (1997), no. 3, 565--596.
    MR98d:14063
    PDF PS (32 pages)

  37. Intransitive trees, A. Postnikov: Journal of Combinatorial Theory, Series A 77 (1997), no. 2, 360--366.
    MR98b:05036
    PDF (7 pages)

  38. Combinatorics of hypergeometric functions associated with positive roots, I. M. Gelfand, M. I. Graev, A. Postnikov: in Arnold-Gelfand Mathematical Seminars: Geometry and Singularity Theory, Birkhauser, Boston, 1996, 205--221.
    MR99k:33046
    PDF PS (16 pages)

  39. Oscillating tableaux, S_n x S_m-modules, and Robinson-Schensted-Knuth correspondence, I. Pak, A. Postnikov: Proceedings of the 8-th International Conference FPSAC'96, University of Minnesota, 1996.
    PDF PS (22 pages)

  40. Enumeration of trees and one amazing representation of the symmetric group, I. Pak, A. Postnikov: Proceedings of the 8-th International Conference FPSAC'96, University of Minnesota, 1996.
    PDF PS (5 pages)

  41. Noncommutative Lagrange theorem and inversion polynomials, I. Pak, A. Postnikov, V. Retakh: presented at 7-th International Conference FPSAC'95, University of Paris, 1995.
    PDF PS (13 pages)

  42. A Generalization of Sylvester's identity, I. Pak, A. Postnikov: Discrete Mathematics 178 (1998), no. 1-3, 277--281.
    MR98f:05013
    PDF (5 pages)

  43. Trees Associated with the Motzkin numbers, A. Kuznetsov, I. Pak, A. Postnikov: Journal of Combinatorial Theory, Series A 76 (1996), no. 1, 145--147.
    MR97d:05063
    PDF (3 pages)

  44. Transversal matroids and strata on grassmannians, I. Pak, A. E. Postnikov: Functional Analysis and its Applications 29 (1995), no. 2, 140--143.
    MR97a:05053
    PDF (4 pages)

  45. Enumereation of spanning trees of graphs, I. Pak, A. Postnikov: preprint dated November 1, 1994.
    PDF PS (18 pages)

  46. Increasing trees and alternating permutations, A. G. Kuznetsov, I. Pak, A. E. Postnikov: Russian Mathematical Surveys 49 (1994), no. 6, 79--110.
    MR96e:05048

  47. Resolutions for S_n-modules, associated with rim hooks, and combinatorial applications, I. Pak, A. E. Postnikov: Functional Analysis and its Applications 28 (1994), no. 2, 132--134.
    MR95c:20020
    PDF (3 pages)

  48. Paths in the Young graph and Robinson-Schensted-Knuth correspondence, A. E. Postnikov: M.S. thesis, Moscow State University, 1993.

  49. Enumeration of spanning trees in some graphs, I. Pak, A. E. Postnikov: Russian Mathematical Surveys 45 (1990), no. 3, 220--221.
    MR91g:05068

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Last updated:   January 31, 2008