S. Yu. Orevkov, “Asymptotics of the number of lattice triangulations of rectangles of width 4 and 5”, Mat. Sb. (to appear)
2026
2.
S. Yu. Orevkov, N. D. Puchkova, “On mutual arrangements of a plane real curve with respect to an M-quartic with a snake oval”, Mat. Zametki, 119:2 (2026) (to appear)
2025
3.
Stepan Orevkov, “Razbivayuschaya polugruppa krivykh roda 4”, Funkts. analiz i ego pril., 59:4 (2025), 40–51;
4.
S. Yu. Orevkov, F. B. Pakovich, “On Intersection of Lemniscates of Rational Functions”, Arnold Math. J., 11:1 (2025), 9–28;
2024
5.
Stepan Yu. Orevkov, “Homomorphisms of commutator subgroups of braid groups with small number of strings”, Ann. Fac. Sci. Toulouse. Math., 33:1 (2024), 105–121
Burak Ozbagci, Stepan Orevkov, “A characterization of quasipositive two-bridge knots”, Int. J. Math., 35:5 (2024), 2450015 , 12 pp.
7.
S. Yu. Orevkov, “$\mathbb C$-Boundary Links up to Six Crossings”, Mosc. Math. J., 24:3 (2024), 427–440
2023
8.
S. Yu. Orevkov, “Two-dimensional diffusion orthogonal polynomials ordered by a weighted degree”, Funct. Anal. Appl., 57:3 (2023), 208–235
9.
M. D. Kovalev, S. Yu. Orevkov, “Complete bipartite graphs flexible in the plane”, Sb. Math., 214:10 (2023), 1390–1414
10.
S. Yu. Orevkov, “Diffusion orthogonal polynomials in 3-dimensional domains bounded by developable surfaces”, J. Geom. Phys., 191 (2023), 104882 , 22 pp.
11.
S. Yu. Orevkov, “Arrangements of a plane $M$-sextic with respect to a line”, St. Petersburg Math. J., 34:1 (2023), 93–107
2022
12.
S. Yu. Orevkov, “Counting lattice triangulations: Fredholm equations in combinatorics”, Sb. Math., 213:11 (2022), 1530–1558
2021
13.
N. G. Kruzhilin, S. Yu. Orevkov, “Plane algebraic curves in fancy balls”, Izv. Math., 85:3 (2021), 407–420
14.
S. Yu. Orevkov, “Multivariate Signatures of Iterated Torus Links”, Funct. Anal. Appl., 55:1 (2021), 59–74
S. Fiedler-Le Touzé, S. Orevkov, E. Shustin, “Corrigendum to "A flexible affine $M$-sextic which is algebraically unrealizable"”, J. Algebraic Geom., 29:1 (2020), 109–121
S. Yu. Orevkov, “Quasipositive links and connected sums”, Funct. Anal. Appl., 54:1 (2020), 64–67
2021
20.
V. I. Zvonilov, S. Yu. Orevkov, “A cell structure of the space of branched coverings of the two-dimensional sphere”, St. Petersburg Math. J., 32:5 (2021), 885–904
S. Yu. Orevkov, “Products of conjugacy classes in $\mathrm{SL}_2(\mathbb{R})$”, Trans. Moscow Math. Soc., 80 (2019), 73–81
25.
Grigory Mikhalkin, Stepan Orevkov, “On Osculating Framing of Real Algebraic Links”, Arnold Math. J., 5 (2019), 393–399
2018
26.
S. Yu. Orevkov, “Irreducibility of lemniscates”, Russian Math. Surveys, 73:3 (2018), 543–545
27.
G. B. Mikhalkin, S. Yu. Orevkov, “Topology of maximally writhed real algebraic knots”, Dokl. Math., 97:1 (2018), 28–31
28.
S. Yu. Orevkov, “On the Hyberbolicity Locus of a Real Curve”, Funct. Anal. Appl., 52:2 (2018), 151–153
29.
Patrick M. Gilmer, Stepan Yu. Orevkov, “Signatures of real algebraic curves via plumbing diagrams”, J. Knot. Theor. Ramif., 27:3 (2018), 1840003 , 33 pp.
A. I. Aptekarev, V. K. Beloshapka, V. I. Buslaev, V. V. Goryainov, V. N. Dubinin, V. A. Zorich, N. G. Kruzhilin, S. Yu. Nemirovski, S. Yu. Orevkov, P. V. Paramonov, S. I. Pinchuk, A. S. Sadullaev, A. G. Sergeev, S. P. Suetin, A. B. Sukhov, K. Yu. Fedorovskiy, A. K. Tsikh, “Evgenii Mikhailovich Chirka (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1137–1144
2017
31.
V. I. Zvonilov, S. Yu. Orevkov, “Compactification of the Space of Branched Coverings of the Two-Dimensional Sphere”, Proc. Steklov Inst. Math., 298 (2017), 118–128
32.
Yu. Orevkov, “Automorphism group of the commutator subgroup of the braid group”, Annales de la Faculté des Sciences de Toulouse. Mathématiques, Sér. 6, 26:5 (2017), 1137–1161
S. Yu. Orevkov, E. I. Shustin, “Real algebraic and pseudoholomorphic curves on the quadratic cone and smoothings of singularity $X_{21}$”, St. Petersburg Math. J., 28:2 (2017), 225–257
2016
35.
S. Yu. Orevkov, “Markov traces on the Funar algebra”, Comm. Math. Phys., 344:2 (2016), 371–396
36.
Grigory Mikhalkin, Stepan Orevkov, “Real algebraic knots and links of small degree”, J. Knot. Theor. Ramif., 25:12 (2016), 1642010 , 34 pp.
A. V. Parusnikova, O. S. Ogneva, V. A. Bykovskii, A. A. Vedenov, D. O. Golovin, Yu. O. Golovin, V. M. Zaitsev, B. K. Zuev, E. Yu. Zueva, K. M. Efimov, A. V. Ivanov, V. S. Isaev, A. S. Karyagina, A. L. Kolosov, S. P. Konovalov, P. A. Kornilov, V. V. Lavrov, V. A. Lavrova, A. A. Letunov, I. E. Letunova, V. D. Maiorov, A. B. Merkov, Yu. I. Ozhigov, S. Yu. Orevkov, O. A. Presnyakova, D. V. Reut, A. V. Skaraev, V. N. Sorokin, P. N. Sorokin, P. G. Sushilin, E. V. Fokina, N. N. Chentsova, T. I. Shvarts, A. S. Zibrov, S. V. Liskina, T. F. Nikiforova, E. G. Orevkova, M. L. Shvarts, “V. I. Parusnikov. Obituary”, Chebyshevskii Sb., 17:1 (2016), 284–285
2015
38.
S. Yu. Orevkov, “Algorithmic recognition of quasipositive braids of algebraic length two”, J. Algebra, 423 (2015), 1080–1108
S. Yu. Orevkov, “Basic nets in the projective plane”, Annales de la Faculté des sciences de Toulouse: Mathématiques, Ser. 6, 24:1 (2015), 205–226 \href{http://afst.cedram.org/item?id=AFST_2015_6_24_1_205_0}
2014
44.
S. Yu. Orevkov, “On modular computation of Gröbner bases with integer coefficients”, J. Math. Sci. (N. Y.), 200:6 (2014), 722–724
45.
S. Yu. Orevkov, “Cubic Hecke algebras and invariants of transversal links”, Dokl. Math., 89:1 (2014), 115–118
2013
46.
S. Yu. Orevkov, “Products of conjugacy classes in finite unitary groups $GU(3,q^2)$ and $SU(3,q^2)$”, Annales de la Faculté des sciences de Toulouse: Mathématiques, Ser. 6, 22:2 (2013), 219–251
S. Yu. Orevkov, “On commutator subgroups of Artin groups”, Dokl. Math., 85:1 (2012), 117–119
48.
Stepan Yu. Orevkov, “Some Examples of Real Algebraic and Real Pseudoholomorphic Curves”: I. Itenberg, B. Jöricke, M. Passare (eds), Perspectives in Analysis, Geometry, and Topology, Progress in Mathematics, 296, Birkhäuser \publaadr Boston, MA, 2012
S. Yu. Orevkov, “Complex orientation formulas for $M$-curves of degree $4d+1$ with 4 nests”, Ann. Fac. Sci. Toulouse Math. (6), 19:1 (2010), 13–26
50.
S. Yu. Orevkov, Yu. P. Orevkov, “The Agnihotri–Woodward–Belkale Polytope and Klyachko Cones”, Math. Notes, 87:1 (2010), 96–101
2008
51.
S. Yu. Orevkov, “Proper analytic embedding of $\mathbb{CP}^1$ minus a Cantor set into $\mathbb C^2$”, Russian Math. Surveys, 63:1 (2008), 168–169
52.
S. Yu. Orevkov, “Arrangements of an $M$-quintic with respect to a conic that maximally intersects its odd branch”, St. Petersburg Math. J., 19:4 (2008), 625–674
2007
53.
S. Yu. Orevkov, “Sharpness of Risler's upper bound for the total curvature of an affine real algebraic hypersurface”, Russian Math. Surveys, 62:2 (2007), 393–394
2006
54.
S. Yu. Orevkov, “Algebraic Curve in the Unit Ball in $\mathbb C^2$ That Passes through the Origin and All of Whose Boundary Components Are Arbitrarily Short”, Proc. Steklov Inst. Math., 253 (2006), 123–143
2005
55.
S. Yu. Orevkov, “Plane real algebraic curves of odd degree with a deep nest”, J. Knot Theory Ramifications, 14:4 (2005), 497–522
S. Yu. Orevkov, “Solution of the word problem in the singular braid group”, Turkish J. Math., 28:1 (2004), 95–100
57.
S. Yu. Orevkov, “Quasipositivity problem for 3-braids”, Turkish J. Math., 28:1 (2004), 89–93
58.
V. M. Kharlamov, S. Yu. Orevkov, “The number of trees half of whose vertices are leaves and asymptotic enumeration of plane real algebraic curves”, J. Combin. Theory Ser. A, 105:1 (2004), 127–142
S. Yu. Orevkov, E. I. Shustin, “Flexible, algebraically unrealizable curves: rehabilitation of Hilbert-Rohn-Gudkov approach”, J. Reine Angew. Math., 551 (2002), 145–172
S. Yu. Orevkov, “Petrovskiĭ-Oleĭnik inequalities and the combinatorics of Viro $T$-hypersurfaces”, St. Petersburg Math. J., 14:1 (2002), 101–118
67.
S. Yu. Orevkov, “New $M$-Curve of Degree 8”, Funct. Anal. Appl., 36:3 (2002), 247–249
68.
S. Yu. Orevkov, “Erratum to: “Link theory and oval arrangements of real algebraic curves” [Topology 38 (1999), no. 4, 779–810]”, Topology, 41:1 (2002), 211–212
2001
69.
S. Yu. Orevkov, “Quasipositivity test via unitary representations of braid groups and its applications to real algebraic curves”, J. Knot Theory Ramifications, 10:7 (2001), 1005–1023
M. Boileau, S. Orevkov, “Quasi-positivité d'une courbe analytique dans une boule pseudo-convexe”, C. R. Acad. Sci. Paris Sér. I Math., 332:9 (2001), 825–830
S. Yu. Orevkov, “Link Theory and New Restrictions for $M$-Curves of Degree Nine”, Funct. Anal. Appl., 34:3 (2000), 229–231
77.
S. Yu. Orevkov, “Strong Positivity in Right-Invariant Order on Braid Groups and Quasipositivity”, Math. Notes, 68:5 (2000), 588–593
78.
S. Yu. Orevkov, “When a chain of blowups defines an automorphism of $\mathbb C^2$”, Math. Notes, 67:4 (2000), 541–543
2003
79.
S. Yu. Orevkov, V. M. Kharlamov, “The growth rate of the number of classes of real plane algebraic curves with the growth of the degree”, J. Math. Sci. (N. Y.), 113:5 (2003), 666–674
1999
80.
V. M. Kharlamov, S. Yu. Orevkov, E.`I. Shustin, “Singularity which has no $M$-smoothing”, The Arnoldfest (Toronto, ON, 1997), Fields Inst. Commun., 24, Amer. Math. Soc., Providence, RI, 1999, 273–309
81.
S. Yu. Orevkov, “Asymptotic number of triangulations with vertices in ${\mathbf Z}^2$”, J. Combin. Theory Ser. A, 86:1 (1999), 200–203
S. Yu. Orevkov, G. M. Polotovsky, “Projective $M$-cubics and $M$-quartics in general position with a maximally intersecting pair of ovals”, St. Petersburg Math. J., 11:5 (2000), 837–852
1999
84.
S. Yu. Orevkov, “Potential at Infinity of a Polynomial Image of the Disk”, Funct. Anal. Appl., 33:4 (1999), 307–309
85.
S. Yu. Orevkov, “Prospective conics and $M$-quintics in general position with a maximally intersecting pair of ovals”, Math. Notes, 65:4 (1999), 528–532
86.
S. Yu. Orevkov, “The volume of the Newton polytope of a discriminant”, Russian Math. Surveys, 54:5 (1999), 1033–1034
1998
87.
G. Dethloff, S. Orevkov, M. Zaidenberg, “Plane curves with a big fundamental group of the complement”, Voronezh Winter Mathematical Schools, Amer. Math. Soc. Transl. Ser. 2, 184, Amer. Math. Soc., Providence, RI, 1998, 63–84
S. Yu. Orevkov, “A New Affine $M$-Sextic”, Funct. Anal. Appl., 32:2 (1998), 141–143
90.
A. V. Domrina, S. Yu. Orevkov, “On four-sheeted polynomial mappings of $\mathbb C^2$. I. The case of an irreducible ramification curve”, Math. Notes, 64:6 (1998), 732–744
91.
S. Yu. Orevkov, “A new affine $M$-sextic. II”, Russian Math. Surveys, 53:5 (1998), 1099–1101
1997
92.
S. Yu. Orevkov, “Acyclic algebraic surfaces bounded by Seifert spheres”, Osaka J. Math., 34:2 (1997), 457–480
93.
S. Yu. Orevkov, Mat. Pros., 1, MCCME, Moscow, 1997, 96–102
1996
94.
S. Yu. Orevkov, “Rudolph diagrams and an analytic realization of the Vitushkin covering”, Math. Notes, 60:2 (1996), 153–164
95.
S. Yu. Orevkov, M. G. Zaidenberg, “On rigid rational cuspidal plane curves”, Russian Math. Surveys, 51:1 (1996), 179–180
S. Yu. Orevkov, “On level lines of a conformal isomorphism of a domain onto a disk”, Math. Notes, 56:5 (1994), 1197–1199
1991
98.
S. Yu. Orevkov, “Letter to the editor”, Math. Notes, 49:6 (1991), 659
1990
99.
S. Yu. Orevkov, “An example in connection with the Jacobian conjecture”, Math. Notes, 47:1 (1990), 82–88
100.
S. Yu. Orevkov, “The commutant of the fundamental group of the complement of a plane algebraic curve”, Russian Math. Surveys, 45:1 (1990), 221–222
101.
S. Yu. Orevkov, “The fundamental group of the complement of a plane algebraic curve”, Math. USSR-Sb., 65:1 (1990), 267–277
1987
102.
S. Yu. Orevkov, “On three-sheeted polynomial mappings of $\mathbf C^2$”, Math. USSR-Izv., 29:3 (1987), 587–596
1984
103.
S. Yu. Orevkov, “Rearrangements of the level hypersurfaces of the direct sum of two functions”, Moscow Univ. Math. Bull., 39:6 (1984), 12–18
104.
S. Yu. Orevkov, “Reorientation of level surfaces of a function in a neighbourhood of a simple unimodular critical point”, Russian Math. Surveys, 39:2 (1984), 187–188
Real algebraic and real pseudoholomorphic curves S. Yu. Orevkov International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin October 11, 2021 15:00
Maximally writhed real algebraic links S. Yu. Orevkov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2019 November 20, 2019 11:00
Real algebraic knots and links S. Yu. Orevkov Seminar "Complex analysis in several variables" (Vitushkin Seminar) September 27, 2017 16:45
37.
Markov trace on cubic Hecke algebras S. Yu. Orevkov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2016 November 16, 2016 14:45
38.
Memorial meeting (conference room 9th floor) E. M. Chirka, S. Yu. Orevkov, A. G. Sergeev, V. M. Buchstaber, M. S. Mel'nikov, A. B. Zhizhchenko International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin October 10, 2016 18:00
Вокруг гипотезы о якобиане S. Yu. Orevkov One-day conference "Complex Analysis and Geometry" dedicated to the memory of A. G. Vituskin October 7, 2014 15:40