Papers

1. (with M.Gekhtman and A.Vainshtein) The number of connected components in the double Bruhat cells for nonsimply-laced groups, (postscript)

2. (with T.Ekedahl, S.Lando, and A.Vainshtein) On Hodge integrals and Hurwitz numbers, Invent. math. 146 (2001) 2, 297-327 (postscript)

3. (with S.Fomin) Stratified spaces formed by totally positive varieties, Michigan Mathematical Journal, special volume in honor of William Fulton, 48(2000), 253--270 (postscript)

4. (with B.Shapiro, A.Vainshtein, and A.Zelevinsky) Simply-laced Coxeter groups and groups generated by symplectic transvections. Michigan Mathematical Journal, special volume in honor of William Fulton, 48(2000), 531--551 (postscript)

5. (with B.Shapiro) Projective convexity in P^3 implies Grassmann convexity. Internat.J.Math. 11 (2000), no.4, 579--588 (postscript)

6. (with T.Ekedahl, S.Lando, and A.Vainshtein) On Hurwitz numbers and Hodge integrals. C. R. Acad. Sci. Paris Ser. I Math. 328 (1999), no. 12, 1175--1180 (postscript)

7. (with A.Postnikov and B.Shapiro) Algebra of curvature forms on homogeneous manifolds. Differential topology, infinite-dimensional Lie algebras, and applications, 227--235, Amer.Math.Soc.Transl.Ser.2,194, (1999) (postscript)

8. (with B.Shapiro and A.Vainshtein) Skew-symmetric vanishing lattices and intersections of Schubert cells. Internat. Math. Res. Notices, 1998, no. 11, 563-588 (postscript)

9. (with B.Shapiro) On ring generated by Chern 2-forms on SL_n/B, C.~R.~Acad.~Sci. Paris Ser. I Math., vol.326 (1998), pp. 75--80. (postscript)

10. (with R.Montgomery and A.Stolin) Chaotic Geodesics in Carnot Groups, Journal of dynamical and control systems, vol.3, # 4, 1997, 1-10. (postscript)

11. (with M.Gekhtman) Non-commutative and commutative integrability of generic Toda flows in simple Lie algebras, Comm. Pure & Appl. Math., Vol. LII, (1999), pp. 53--84. (postscript)

12. (with B.Shapiro and A.Vainshtein) On combinatorics and topology of pairwise intersections of Schubert cells in SL_n/B, Arnold-Gelfand Math. Seminars, 1997, pp. 397-437. (postscript)

13. (with B.Shapiro and A.Vainshtein) Connected components in the intersection of two open opposite Schubert cells in SL_n/B, Internat. Math. Res. Notices, 1997,no.10, 469-493, 22 pages. (postscript)

14. (with B.Shapiro and A.Vainshtein) Ramified coverings of S^2 with one degenerate branching point and enumeration of edge-ordered graphs, Amer. Math. Soc. Transl., Vol. 180 (1997), pp. 219--227. (postscript)

15. Completeness of real Toda flows and totally positive matrices, Mathematische Zeitschrift, vol. 226 (1997), no.1, pp. 51--66, (postscript)

16. (with B.Shapiro and A.Vainshtein) Kazhdan-Lusztig polynomials for certain varieties of incomplete flags, Discrete Math., Vol. 180 (1998), pp. 345--355, (postscript)

17. (with A.Vainshtein) Stratification of Hermitian matrices and the Alexander mapping, Comptes Rendus Acad. Sci. Paris, 1995, v.321, # 12, 1599-1604 (postscript)

18. (with B.Shapiro) On the totally positive upper triangular matrices, Lin. Alg. and Appl., 1996, vol. 273, pp. 23-29. (postscript)

19. (with B.Shapiro and A.Vainshtein) Intersections of Schubert cells and structure constants of Hecke algebra,1996, Discr. Math, vol. 153, pp. 305--318. (postscript)

20. Topology of the space of nondegenerate closed curves, Izvestia of Russian AN, Ser.Matematika, 1993, # 5, 230-255 (postscript)

21. (with B.Shapiro) On the number of connected components of nondegenerate curves on S^n, Bull. of the AMS, vol. 25, # 1, 1991, pp. 75--79. (postscript)

22. (with B.Shapiro) The M-property of flag varieties Top. and Appl., vol. 43, pp. 65--81, # 1, 1992, (NO PICTURES). (postscript)