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Vassiliev Victor Anatolievich
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2026
1.	V.A. Vassiliev, “Monodromy in Integral Geometry and PDE”, Handbook of Geometry and Topology of Singularities VIII, eds. Cisneros-Molina, J.L., Dũng Tráng, L., Seade, J., Springer, 2026, 491–526
2.	V.A. Vassiliev, “Isotopy Classification of Morse Polynomials of Degree Three on R^3”, Moscow Math. Journal, 26:1 (2026), 97–142, arXiv: 2404.17891
3.	V.A. Vassiliev, Inscribed squares of level sets of functions on the sphere, 2026, 3 pp., arXiv: 2607.13052
4.	V.A. Vassiliev, “Equilevel algebras”, Journal of Knot Theory and Its Ramifications, 2026, 1–68 (to appear), arXiv: 2503.19343

2025
5.	V.A. Vassiliev, “Real Function Singularities and Their Bifurcation Sets”, Handbook of Geometry and Topology of Singularities VII, eds. José Luis Cisneros-Molina, Lê Dũng Tráng, José Seade, Springer, 2025, 71–119 https://link.springer.com/chapter/10.1007/978-3-031-68711-2_2	1 ^[x]
6.	T. Bakiev, A. I. Bufetov, V. A. Vassiliev, S. M. Voronin, A. A. Glutsyuk, A. S. Gorodetski, A. V. Dukov, V. Yu. Kaloshin, A. V. Klimenko, V. V. Kozlov, S. B. Kuksin, S. K. Lando, V. S. Oganesyan, G. I. Olshanski, S. Yu. Pilyugin, O. V. Pochinka, Ya. G. Sinai, A. S. Skripchenko, A. L. Skubachevskii, I. A. Taimanov, V. A. Timorin, V. M. Tikhomirov, D. V. Treschev, D. A. Filimonov, K. M. Khanin, H. Hedenmalm, A. G. Khovanskii, M. A. Tsfasman, A. I. Shafarevich, I. S. Shilin, S. Yu. Yakovenko, “On the 80th birthday of Yulij Sergeevich Ilyashenko”, Russian Math. Surveys, 80:2 (2025), 345–357
7.	V.A. Vassiliev, “Isotopy Classification of Morse Polynomials of Degree Four on R^2”, Moscow Math. Journal, 25:2 (2025), 249–299 http://www.mathjournals.org/mmj/2025-025-002/2025-025-002-004.html, arXiv: 2311.11113	1 ^[x]
8.	V. A. Vassiliev, “Average intersection numbers of low-harmonic plane curves in L_2 and W_2^r statistics”, Journal of Knot Theory and Its Ramifications, 34:08 (2025), 2550042, 10 pp., arXiv: 2303.12645
9.	V.A. Vassiliev, Trinitary algebras, 2025, 40 pp., arXiv: 2506.12865
10.	V.A. Vassiliev, Complements of caustics of the real J_10 singuularities, 2025, 26 pp., arXiv: 2510.03883
11.	V.A. Vassiliev, Complements of discriminants of real parabolic function singularities. II, 2025, 46 pp., arXiv: 2512.12738

2024
12.	V. A. Vassiliev, “On the homology of spaces of equivariant maps”, J. Topol. Anal., 16:4 (2024), 461–494, arXiv: 1809.05632	1 ^[x]
13.	V.A. Vassiliev, “Cohomology of Spaces of Complex Knots”, Arnold Mathematical Journal, 10:3 (2024), 323–353, arXiv: 2207.08247
14.	V.A. Vassiliev, “Complements of caustics of real function singularities”, Journal of Singularities, 27 (2024), 47–67, arXiv: 2304.09824	2 ^[x]
15.	V. A. Vasilev, “I.M. Gelfand na zakate sovetskoi vlasti”, V kn. “I. M. Gelfand. K 110-letiyu”, s. 73–76., 2024 https://biblio.mccme.ru/node/235327
16.	V.A. Vassiliev, “Complements of discriminants of simple real function singularities”, Isr. J. Math., 263 (2024), 553-586, arXiv: 2109.12287	3 ^[x]
17.	V.A. Vassiliev, “Cohomology of spaces of Hopf equivariant maps of spheres”, Homology, Homotopy and Applications, 26:2 (2024), 219–227, arXiv: 2102.07157	1 ^[x]
18.	V.A. Vassiliev, On the cohomology of varieties of chord diagrams, 2024, 8 pp., arXiv: 2412.18508

2023
19.	V.A. Vassiliev, "Complements of discriminants of real singularities of type $X_{10}$", 2023, 25 pp., arXiv: 2301.06994
20.	Mark Agranovksy, Jan Boman, Alexander Koldobsky, Victor Vassiliev, Vladyslav Yaskin, “Algebraically integrable bodies and related properties of the Radon transform”, Harmonic Analysis and Convexity, eds. Alexander Koldobsky and Alexander Volberg, De Gruyter, Berlin, Boston, 2023, 1–36 ; arXiv: 2212.07510	1 ^[x]
21.	V.A. Vassiliev, “Complements of discriminants of real parabolic function singularities”, Moscow Mathematical Journal, 23:3 (2023), 401–432, arXiv: 2208.10929	1 ^[x]
22.	Victor A. Vassiliev, “Varieties of chord diagrams, braid group cohomology and degeneration of equality conditions”, Pacific Journal of Mathematics, 326:1 (2023), 135–160, arXiv: 2108.00463

2022
23.	V. L. Arlazarov, A. Ya. Belov, V. O. Bugaenko, V. A. Vassiliev, A. L. Gorodentsev, S. A. Dorichenko, Yu. S. Ilyashenko, V. M. Imaykin, S. I. Komarov, A. G. Kushnirenko, Yu. P. Lysov, A. L. Semenov, V. M. Tikhomirov, A. K. Tolpygo, A. G. Khovanskii, P. A. Yakushkin, I. V. Yaschenko, “Nikolai Nikolaevich Konstantinov (obituary)”, Russian Math. Surveys, 77:3 (2022), 531–541

2021
24.	Victor Vassiliev, “D. Fuchs in the Arnold seminar”, Celebratio Mathematica, D. B. Fuchs, Mathematical Sciences Publishers, 2021, 2021 https://celebratio.org/Fuchs_DB/article/929/

2020
25.	Victor A. Vassiliev, “New Examples of Irreducible Local Diffusion of Hyperbolic PDE's”, SIGMA, 16 (2020), 9, 21 pp., arXiv: 1909.13211	1 ^[x]
26.	A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Russian Math. Surveys, 75:2 (2020), 369–375
27.	V. A. Vassiliev, “Homology of the complex of not 2-divisible partitions”, European J. Combin., 86 (2020), 103090, 7 pp., arXiv: 1807.05742	1 ^[x]
28.	V. A. Vassiliev, “Algebroidally integrable bodies”, Arnold Math. J., 6:2 (2020), 291–309, arXiv: 2003.04665	3 ^[x]
29.	V.A.Vasilev, “Vetvyaschiesya ob'emy i gruppy otrazhenii”, MTsNMO, Moskva, 2020, 104 pp. https://biblio.mccme.ru/node/74704/shop
30.	M.Kazarian, I.Krichever, S.Lando, Yu.Ilyashenko, S.Natanzon, A.Sergeev, M.Tsfasman, V.Vassiliev, “Sabir Gusein-Zade is 70”, Moscow Mathematical Journal, 20:4 (2020), 817-818 http://www.mathjournals.org/mmj/2020-020-004/2020-020-004-008.html

2019
31.	V. A. Vassiliev, “New examples of locally algebraically integrable bodies”, Mathematical Notes, 106:6 (2019), 894–898, arXiv: 1902.07235

2018
32.	V. M. Buchstaber, V. A. Vassiliev, A. Yu. Vesnin, I. A. Dynnikov, Yu. G. Reshetnyak, A. B. Sossinsky, I. A. Taimanov, V. G. Turaev, A. T. Fomenko, E. A. Fominykh, A. V. Chernavsky, “Sergei Vladimirovich Matveev (on his 70th birthday)”, Russian Math. Surveys, 73:4 (2018), 737–746
33.	A. I. Aptekarev, V. M. Buchstaber, V. A. Vassiliev, M. L. Gromov, Yu. S. Ilyashenko, B. S. Kashin, V. M. Keselman, V. V. Kozlov, M. L. Kontsevich, I. M. Krichever, N. G. Kruzhilin, S. K. Lando, Yu. I. Manin, G. A. Margulis, S. Yu. Nemirovski, S. P. Novikov, Yu. G. Reshetnyak, Ya. G. Sinai, S. P. Suetin, D. V. Treschev, D. B. Fuchs, A. G. Khovanskii, E. M. Chirka, A. S. Schwarz, A. N. Shiryaev, “Vladimir Antonovich Zorich (on his 80th birthday)”, Russian Math. Surveys, 73:5 (2018), 935–939
34.	Victor A.Vassiliev, “Twisted homology of configuration spaces, homology of spaces of equivariant maps, and stable homology of spaces of non-resultant systems of real homogeneous polynomials”, 2018, 32 pp., arXiv: 1809.05632
35.	V. A. Vassiliev, “Lacunas and local algebraicity of volume functions”, J. Singul., 18 (2018), 350–357, arXiv: 1803.07829	1 ^[x]
36.	V. A. Vassiliev, “Twisted homology of configuration spaces and homology of spaces of equivariant maps”, Dokl. Math., 98:3 (2018), 629–633
37.	V. A. Vassiliev, “Stable Cohomology of Spaces of Non-Resultant Systems of Homogeneous Polynomials in $\mathbb R^n$”, Dokl. Math., 98:1 (2018), 330–333
38.	Victor A. Vassiliev, “Topology of complexes of edge covering partite graphs and hypergraphs”, Combinatorica, 38:5 (2018), 1239–1249	1 ^[x]

2017
39.	V. A. Vasilev, “Geometriya diskriminanta”, MTsNMO, Moskva, 2017, 16 pp. http://www.mccme.ru/free-books/mmmf-lectures/book.41.pdf
40.	A. Tsaturyan, V. Vasilev, Vzryv landshafta, Gazeta “Troitskii Variant”, 23.05.2017 # 229 c. 2–3, 2017 http://trv-science.ru/2017/05/23/vzryv-landshafta/
41.	A. Chernavski, D. Fuchs, S. Gusein-Zade, Yu. Ilyashenko, O. Karpenkov, A. Kirillov, S. Lando, S. Matveev, M. Skopenkov, V. Tikhomirov, M. Tsfasman, V. Vassiliev, “Alexei Bronislavovich Sossinsky turns 80”, Mosc. Math. J., 17:3 (2017), 555–558
42.	V. A. Vassiliev, “Stable cohomology of spaces of non-resultant polynomial systems in $\mathbb R^3$”, Dokl. Math., 96:3 (2017), 616–619
43.	V. A. Vassiliev, “Multiplicities of bifurcation sets of Pham singularities”, Mosc. Math. J., 17:4 (2017), 825–836, arXiv: 1701.03909

2016
44.	V. A. Vassiliev, “Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$”, Izv. Math., 80:4 (2016), 791–810
45.	V. A. Vassiliev, “Multiplicities of Maxwell sets of Pham singularities”, Funct. Anal. Appl., 50:3 (2016), 225–227
46.	Victor A. Vassiliev, “Linking numbers in non-orientable 3-manifolds”, J. Knot. Theor. Ramif., 25:12 (2016), 1642016, 13 pp., arXiv: 1606.05876	1 ^[x]
47.	S. Chmutov, M. Karev, A. Khovanski, J. Krasilshchik, S. Lando, N. Mnev, G. Panina, Yu. Romanovski, I. Scherbak, A. Sossinski, A. Varchenko, N. Vasilyev, V. Vassiliev, A. Vershik, “Remembrance: Sergei Duzhin (June 17, 1956–February 1, 2015)”, Journal of Knot Theory and its Ramifications, 25:12 (2016), 1677001-1–1677011-8
48.	V. I. Arnold, Collected works, v. III, Singularity Theory 1972-1979, eds. A. B. Givental, B. A. Khesin, M. B. Sevryuk, V. A. Vassiliev, O. Ya. Viro, Springer-Verlag, Berlin–Heidelberg, 2016, XIV+509 pp. http://www.springer.com/series/8602
49.	V. A. Vassiliev, “Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equations”, Sb. Math., 207:10 (2016), 1363–1383
50.	N. Demina, V. Vasilev, Khirshemaniya i khirshefobiya, “Troitskii variant” 24 (218), s. 6, 2016 http://trv-science.ru/uploads/218N.pdf
51.	M. Gelfand, V. Vasilev, Esli potratish zhizn na matematiku, to ty ee ne zrya prozhil, “Troitskii variant” 25 (219), s. 6, 2016 http://trv-science.ru/uploads/219N.pdf

2015
52.	V. A. Vassiliev, “Newton's lemma XXVIII on integrable ovals in higher dimensions and reflection groups”, Bull. Lond. Math. Soc., 47:2 (2015), 290–300, arXiv: 1407.7221	14 ^[x]
53.	V. A. Vassiliev, “A few problems on monodromy and discriminants”, Arnold Math. J., 1:2 (2015), 201–209, arXiv: 1504.01997	4 ^[x]
54.	V. A. Vassiliev, “Homology of spaces of non-resultant polynomial systems in $\mathbb R^2$ and $\mathbb C^2$”, Arnold Math. J., 1:3 (2015), 233–242, arXiv: 1409.6005	3 ^[x]
55.	V. A. Vassiliev, “Rational Homology of the Order Complex of Zero Sets of Homogeneous Quadratic Polynomial Systems in $\mathbb R^3$”, Proc. Steklov Inst. Math., 290 (2015), 197–209, arXiv: 1501.06063
56.	P. Etingof, S. Loktev, L. Rybnikov, S. Gusein-Zade, Yu. Ilyashenko, S. Lando, M. Tsfasman, V. Vassiliev, “Boris Feigin”, Mosc. Math. J., 15:2 (2015), 185–186
57.	V. Vasilev, “U nas v matematike schitaetsya prilichnym povedeniem chto-to komu-to prepodavat”, Znanie-Sila, 2015, no. 7, 80–84 http://www.znanie-sila.su/?issue=issues/contents_iss.php&id=128

2014
58.	V. A. Vasilev, Topologiya dlya mladshekursnikov, MTsNMO, M., 2014, 160 pp. http://biblio.mccme.ru/node/4822
59.	V. Vassiliev, “Topology in Arnold's Work”, Arnold: Swimming Against the Tide, eds. B. A. Khesin and S. L. Tabachnikov, Amer. Math. Soc., Providence, RI, 2014, 165–171 http://www.ams.org/bookstore-getitem/item=mbk-86	1 ^[x]
60.	A. I. Bufetov, A. A. Glutsyuk, S. M. Gusein-Zade, A. S. Gorodetski, V. Yu. Kaloshin, A. G. Khovanskii, V. A. Kleptsyn, S. Yu. Nemirovskii, A. B. Sossinsky, M. A. Tsfasman, V. A. Vassiliev, S. Yu. Yakovenko, “Yulij Sergeevich Ilyashenko”, Mosc. Math. J., 14:2 (2014), 173–179
61.	V. A. Vasilev, N. M. Karpushina, S. N. Fedin, “Glavnyi element ucheby – eto opyt obscheniya s umnymi lyudmi! (Intervyu s V. A. Vasilevym)”, Matematika v shkole, 2014, no. 6, 3–8

2013
62.	V. A. Vasilev, “Bez samoobrazovaniya - nikak”, Troitskii variant, 2013, no. 22(141) (5.11.2013), 8 http://trv-science.ru/141N.pdf
63.	V. A. Vasilev, “Pamyati Andreya Zelevinskogo”, Troitskii variant, 2013, no. 8(127) (23.04.2013), 14 http://trv-science.ru/127N.pdf
64.	V. A. Vasilev, “Finalnyi variant tumanen”, Troitskii variant, 2013, no. 21(140) (22.10.2013), 2 http://trv-science.ru/140N.pdf
65.	V. A. Vasilev, “Matematika i matematiki podreformennoi Rossii”, Polit.ru (10.09.2013), 2013 http://polit.ru/article/2013/09/10/vassiliev_math_conf_ras/
66.	V. A. Vasilev, “RAN: reforma protiv evolyutsii”, Polit.ru (30.07.2013), 2013 http://polit.ru/article/2013/07/30/vassiliev_about_ras/
67.	V. I. Arnold, Collected works, v. 2, Hydrodynamics, Bifurcation Theory, and Algebraic Geometry, 1965–1972, eds. A. B. Givental, B. A. Khesin, A. N. Varchenko, V. A. Vassiliev, O. Ya. Viro, Springer-Verlag, Berlin–Heidelberg, 2013, 466 pp.
68.	V. A. Vassiliev, Vvedenie v topologiyu [Introduction to Topology], Extended Chinese translation of the 1997 textbook, International Press of Boston/Higher Education Press, Beijing, 2013, 150 pp.
69.	V. A. Vasilev, “Uchitelya”, v kn.: M. M. Yudkevich, Yu. V. Ivanova, L. F. Borusyak, V. V. Seliverstov, Pokoleniya VShE. Uchitelya ob uchitelyakh, Izdatelskii dom NIU VShE, M., 2013, 15–19
70.	V. A. Vasilev, “Nauka i psevdonauka (forum)”, Antropologicheskii forum, 2013, no. 18, 33–36 http://anthropologie.kunstkamera.ru/06/2013_18/

2012
71.	V. A. Vasilev, “Boloto egalitarizma”, Troitskii variant, 2012, no. 3(97), 6 http://trv-science.ru/2012/02/14/boloto-ehgalitarizma/#more-14341
72.	V. A. Vasilev, “Allo, my ischem talanty?”, Troitskii variant, 2012, no. 5(99), 1–2
73.	V. Vassiliev, “Topology in Arnold's work”, A piece of the collection “Memories of Vladimir Arnold”, Notices of the AMS, 59:4 (2012), 495–499 http://www.ams.org/notices/201204/rtx120400482p.pdf
74.	A. A. Agrachev, D. V. Anosov, I. A. Bogaevskii, A. S. Bortakovskii, A. B. Budak, V. A. Vassiliev, V. V. Goryunov, S. M. Gusein-Zade, A. A. Davydov, V. R. Zarodov, V. D. Sedykh, D. V. Treshchev, V. N. Chubarikov, “Vladimir Mikhailovich Zakalyukin (obituary)”, Russian Math. Surveys, 67:2 (2012), 375–379
75.	D. V. Anosov, V. A. Vassiliev, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, V. A. Il'in, V. V. Kozlov, A. V. Kryazhimskiy, S. M. Nikol'skii, A. N. Parshin, V. M. Filippov, I. R. Shafarevich, “Lev Dmitrievich Kudryavtsev (obituary)”, Russian Math. Surveys, 67:3 (2012), 569–571
76.	V. A. Vassiliev, “A topological proof of the Arnold four cusps theorem”, Bull. London Math. Soc., 44:4 (2012), 637–641 http://www.pdmi.ras.ru/ãrnsem/papers/fourverta.pdf	1 ^[x]
77.	V. A. Vasilev, “Novoe vino? Starye mekhi? (Podborka kommentariev k state A. Volkova i D. Livanova «Stavka na novoe soderzhanie»)”, Troitskii variant, 2012, no. 18(112), 2 http://trv-science.ru/2012/09/11/
78.	A. A. Kirillov, A. Kh. Shen, V. A. Vasilev, ““Konstantinov — «nou-khau» Rossii””, Troitskii variant, 2012, no. 95, 15 http://trv-science.ru/2012/01/17/konstantinov-nou-khau-rossii/
79.	Viktor Vasilev, Formuly i teoremy – ne glavnoe, chto poluchayut studenty, Intervyu zhurnalu “Afisha-Gorod”, 2012 https://daily.afisha.ru/archive/gorod/archive/viktor-vasiliev-matematik/

2011
80.	S. A. Grishanov, V. A. Vassiliev, “Invariants of links in 3-manifolds and splitting problem of textile structures”, J. Knot Theory Ramifications, 20:3 (2011), 345–370 http://ag.hse.ru/data/2012/03/12/1211315126/4gv.pdf	10 ^[x]
81.	S. A. Grishanov, V. A. Vassiliev, “Gauss diagram invariants of links in $M^2\times\mathbf R^1$”, J. Knot Theory Ramifications, 20:3 (2011), 371–387 http://www.pdmi.ras.ru/ãrnsem/papers/5gv.pdf
82.	V. A. Vassiliev, “Topological complexity and Schwarz genus of general real polynomial equation”, Mosc. Math. J., 11:3 (2011), 617–625	1 ^[x]
83.	V. A. Vassiliev, “On topological invariants of real algebraic functions”, Funct. Anal. Appl., 45:3 (2011), 163–172 http://www.pdmi.ras.ru/ãrnsem/papers/fa11ra.pdf
84.	V. A. Vasilev, “Problema vybora”, Troitskii variant, 2011, no. 93 (6.12.2011), 5 http://trv-science.ru/2011/12/06/problema-vybora/#more-13159
85.	V. A. Vasilev, “Tryuki so standartom”, Nauka v fokuse, 2011, no. 001 (Sentyabr 2011), 28
86.	V. A. Vasilev, “Dzhon Milnor, svetlyi i moschnyi talant”, Troitskii variant, 2011, no. 75, 8
87.	V. A. Vasilev, “Otkaz ot fundamentalnosti delaet «kompetentsii» zavedomoi fiktsiei”, Troitskii variant, 2011, no. 85 (16.08.2011), 6–7
88.	V. A. Vasilev, 150 retsenzii na shkolnye uchebniki po matematike, http://www.mi.ras.ru/ṽva/, 2011
89.	V. A. Vasilev, “Integriruemye ovaly i monodromiya. Annotatsiya doklada 10.12.2009”, Trudy seminara po vektornomu i tenzornomu analizu, XXVII, Izd-vo Mosk. un-ta, 2011, 18

2010
90.	S. B. Artemov, A. A. Belavin, V. M. Buchstaber, A. I. Esterov, B. L. Feigin, V. A. Ginzburg, E. A. Gorsky, Yu. S. Ilyashenko, A. A. Kirillov, A. G. Khovanskii, S. K. Lando, G. A. Margulis, Yu. A. Neretin, S. P. Novikov, S. B. Shlosman, A. B. Sossinsky, M. A. Tsfasman, A. N. Varchenko, V. A. Vassiliev, S. G. Vlăduţ, “Sabir Medgidovich Gusein-Zade”, Mosc. Math. J., 10:4 (2010), 831–832
91.	D. Anosov, V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, A. Khovanskii, S. Lando, S. Novikov, A. Sossinsky, M. Tsfasman, V. Vassiliev, “Vladimir Igorevich Arnold”, Mosc. Math. J., 10:3 (2010), 481–483 http://www.ams.org/distribution/mmj/vol10-3-2010/viarnold.html
92.	V. A. Vasilev, “Zakony prirody nepodkupny”, V zaschitu nauki (byulleten komissii RAN po borbe s lzhenaukoi), 7, Nauka, M., 2010, 45–48 http://www.ras.ru/digest/fdigestlist/bulletin.aspx

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