1997 Fulkerson Prize in Discrete Mathematics for the papers on Universality Theorems.
Main publications:
N. E. Mnev. The universality theorems on the classification problem of configuration varieties and convex polytopes varieties, in Topology and geometry — Rohlin Seminar // Lecture Notes in Math., 1346, Springer, Berlin-New York, 1988, 527–543.
N. Mnev. The universality theorem on the oriented matroid stratification of the space of real matrices, in Discrete and computational geometry (New Brunswick, NJ, 1989/1990) // Amer. Math. Soc., Providence, RI, 1991, 237–243.
N. E. Mnev and G. M. Ziegler. Combinatorial models for the finite-dimensional Grassmannians // Discrete Comput. Geom. 10 (1993), no. 3, 241–250.
H. Lombardi, N. Mnev, and M.-F. Roy. The Positivstellensatz and small deduction rules for systems of inequalities // Math. Nachr. 181 (1996), 245–259.
L. Anderson, N. Mnev. Triangulations of manifolds and combinatorial bundle theory: announcement // Zap. Nauchn. Sem. POMI, v. 267 (2000).
N. Mnëv, “Minimal triangulations of circle bundles, circular permutations, and the binary Chern cocycle”, Zap. Nauchn. Sem. POMI, 481 (2019), 87–107
2018
3.
N. E. Mnëv, “Which circle bundles can be triangulated over $\partial\Delta^3$?”, Zap. Nauchn. Sem. POMI, 468 (2018), 75–81; J. Math. Sci. (N. Y.), 240:5 (2019), 551–555
N. Mnev, G. Sharygin, “On local combinatorial formulas for Chern classes of a triangulated circle bundle”, Zap. Nauchn. Sem. POMI, 448 (2016), 201–235; J. Math. Sci. (N. Y.), 224:2 (2017), 304–327
N. Mnëv, “A note on the tangent bundle and Gauss functor of posets and manifolds”, Zap. Nauchn. Sem. POMI, 421 (2014), 113–125; J. Math. Sci. (N. Y.), 200:6 (2014), 710–717
2007
6.
N. E. Mnev, “Combinatorial PL fiber bundles and fragmentation of a fiberwise homeomorphism”, Zap. Nauchn. Sem. POMI, 344 (2007), 56–173; J. Math. Sci. (N. Y.), 147:6 (2007), 7155–7217
N. E. Mnev, “On the topology of cycles in pseudolinear programs”, Zap. Nauchn. Sem. POMI, 280 (2001), 239–250; J. Math. Sci. (N. Y.), 119:2 (2004), 260–267
2000
8.
L. Anderson, N. E. Mnev, “Triangulations of manifolds and combinatorial bundle theory: an announcement”, Zap. Nauchn. Sem. POMI, 267 (2000), 46–52; J. Math. Sci. (N. Y.), 113:6 (2003), 755–758
A. I. Barvinok, A. M. Vershik, N. E. Mnev, “The topology of configuration spaces, convex polytopes, and representations of lattices”, Trudy Mat. Inst. Steklov., 193 (1992), 37–41; Proc. Steklov Inst. Math., 193 (1993), 37–41
N. E. Mnev, “On the structure of the set of Pareto-critical points of a smooth map”, Uspekhi Mat. Nauk, 40:6(246) (1985), 151–152; Russian Math. Surveys, 40:6 (1985), 137–138
D. Yu. Burago, Yu. D. Burago, A. L. Verner, A. M. Vershik, M. L. Gromov, I. A. Ibragimov, S. V. Ivanov, S. V. Kislyakov, S. S. Kutateladze, A. A. Lodkin, Yu. V. Matiyasevich, N. E. Mnev, A. I. Nazarov, G. Yu. Panina, Yu. G. Reshetnyak, V. A. Rizhik, N. N. Uraltseva, Ya. M. Eliashberg, “Viktor Abramovich Zalgaller (obituary)”, Uspekhi Mat. Nauk, 76:5(461) (2021), 195–198; Russian Math. Surveys, 76:5 (2021), 927–931
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