Persons: Vassiliev, Victor Anatolievich

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Vassiliev, Victor Anatolievich

Statistics Math-Net.Ru
in MathSciNet:	129 (102)
in zbMATH:	98 (80)
in Web of Science:	58 (43)
in Scopus:	52 (51)

Member of the Russian Academy of Sciences

Doctor of physico-mathematical sciences (1992)

Speciality:

01.01.04 (Geometry and topology)

Birth date:

10.04.1956

E-mail:

Keywords:

singularity theory, topology, combinatorics, complexity theory, integral geometry, Picard–Lefschetz theory, partial differential equations, symplectic geometry and topology, complex analysis.

UDC:

515.1, 517.4, 515.164, 512.73

MSC:

57M25, 58C27, 55R80, 57R45, 68Q25, 32S40, 57M27, 57Q45, 58G16, 58G17, 55T99, 58Kxx, 12Y05, 55S40, 68W30

Subject:

Main results include: 1) A system of invariants of knots, links, and plane curves, stronger than all known polynomial invariants; 2) A universal method of the computation of homology groups of spaces of non-degenerate geometrical objects, producing in particular the knot invariants and numerous comparison theorems of the Smale–Hirsch–Gromov type for spaces of real and complex functions and maps without complicated singularities; 3) Best known (and asymptotically sharp) estimates of the numbers of branchings of algorithms of approximate computation of roots of polynomials 4) "Stratified" version of the Picard–Lefschetz theory for the homology groups of singular manifolds; 5) A proof of the Atiyah–Bott Garding conjecture on the equivalence of the sharpness of the wave front of a hyperbolic operator to the topological Petrovskii condition; an interpretation of these conditions in the terms of the geometry of the front; 6) Multidimensional analogues of the Newton's theorem on the non-integrability of ovals; 7) A construction of multi-dimensional analogues of the Maslov index by the methods of the singularity theory (the "universal complex of singularities"); 8) A calculation of the stable homotopy types of complements of plane arrangements in $\mathbf R^n$, generalizing the Goresky–MacPherson formula for the homology groups of such complements. Other results concern complexity theory of smooth maps, real algebraic geometry, generalized hypergeometric functions, topology of Lie groups, dynamical systems, geometrical combinatorics, potential theory, etc.

Biography

Graduated from the Department of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1965 Ph.D. since 1982 (advisor V. I. Arnold); D.Sci. since 1992. More than 100 scientific publications. Since 1997 I run a research seminar at the Independent University of Moscow. Board member of journals "Functional Analysis and its Applications" (Editor in Chief), Izvestiya RAS, Doklady DAS, Moscow Mathematical Journal, Selecta Mathematica (New Series), Topology and its Applications, Journal of Knot Theory and its Ramifications. Member of the Executive Committee of International Mathematical Union (2004–2010). President of the Moscow Mathematical Society (2010–present).

Moscow Math. Society award of 1985 for the cycle of works "Characteristic classes of wave fronts". Plenary invited address at the Zurich International Congress of Mathematicians (1994). Miller Research Professor, UC Berkeley, 1999. Visiting Fellow Commoner, Trinity College, Cambridge University, 2000. Russia State Award in the field of education.

Main publications:

V. A. Vassiliev, Complements of discriminants of smooth maps: topology and applications, 2-d extended edition, Translations of Math. Monographs, 98, AMS, Providence, RI, 1994, 268 pp. ; rasshirennyi russkii perevod: V. A. Vasilev, Topologiya dopolnenii k diskriminantam, Fazis, Moskva, 1997, xiv+536 s.
V. A. Vassiliev, Ramified integrals, singularities and lacunas, Math. Appl., 315, Kluwer Academic Publishers, Dorderecht (Netherlands), 1995, xviii+289 pp. ; rasshirennyi russkii perevod: V. A. Vasilev, Vetvyaschiesya integraly, MTsNMO, Moskva, 2000, 432 s.
V. A. Vassiliev, Lagrange and Legendre characteristic classes, 2-d edition, Gordon and Breach Publishers, New York a.o., 1993, 273 pp. ; rasshirennyi russkii perevod: V. A. Vasilev, Lagranzhevy i lezhandrovy kharakteristicheskie klassy, MTsNMO, Moskva, 2000, 312 s.
V. I. Arnold, V. A. Vasilev, V. V. Goryunov, O. V. Lyashko, Osobennosti. I. Lokalnaya i globalnaya teoriya, Itogi nauki i tekhniki. Sovr. probl. matem. Fundam. napr., 6, VINITI, Moskva, 1988, 256 s. ; Osobennosti. II. Klassifikatsiya i prilozheniya, Itogi nauki i tekhniki. Sovr. probl. matem. Fundam. napr., 39, 1989, 256 s. ; English translation: V. I. Arnold, V. A. Vasil'ev, V. V. Goryunov, O. V. Lyashko, Singularities, Encycl. Math. Sci., 6, 39, Springer-Verlag, Berlin–New York, 1993, 245+233 pp.
V. A. Vassiliev, “Combinatorial formulas for cohomology of spaces of knots”, Moscow Math. J., 1:1 (2001), 91–123

https://www.mathnet.ru/eng/person8413

https://scholar.google.com/citations?user=xbsefesAAAAJ&hl=en

https://zbmath.org/authors/ai:vassiliev.victor-a

https://mathscinet.ams.org/mathscinet/MRAuthorID/327216

https://elibrary.ru/author_items.asp?authorid=3935

https://orcid.org/0000-0001-6769-1158

https://www.webofscience.com/wos/author/record/F-6751-2013

https://www.scopus.com/authid/detail.url?authorId=7006638278

https://www.researchgate.net/profile/V_Vassiliev

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	V. A. Vassiliev, “On the homology of spaces of equivariant maps”, J. Topol. Anal., 16:4 (2024), 461–494 , arXiv: 1809.05632
2.	V.A. Vassiliev, “Cohomology of Spaces of Complex Knots”, Arnold Mathematical Journal, 10:3 (2024), 323–353 , arXiv: 2207.08247
3.	V.A. Vassiliev, “Complements of caustics of real function singularities”, Journal of Singularities, 27 (2024), 47–67 , arXiv: 2304.09824
4.	V.A. Vassiliev, Isotopy classification of Morse polynomials of degree 3 in R^3, 2024 , 47 pp., arXiv: 2404.17891
5.	V.A. Vassiliev, “Complements of discriminants of simple real function singularities”, Isr. J. Math., 263 (2024), 553-586 , arXiv: 2109.12287
6.	V.A. Vassiliev, “Cohomology of spaces of Hopf equivariant maps of spheres”, Homology, Homotopy and Applications, 26:2 (2024), 219–227 , arXiv: 2102.07157
7.	V.A. Vassiliev, On the cohomology of varieties of chord diagrams, 2024 , 7 pp., arXiv: 2412.18508
8.	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

2023
9.	V.A. Vassiliev, "Complements of discriminants of real singularities of type $X_{10}$", 2023 , 17 pp., arXiv: 2301.06994
10.	V.A. Vassiliev, "Average intersection number of trigonometric plane curves in $L_2$ and $W^r_2$ statistics", 2023 , 9 pp., arXiv: 2303.12645
11.	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
12.	V.A. Vassiliev, “Complements of discriminants of real parabolic function singularities”, Moscow Mathematical Journal, 23:3 (2023), 401–432 , arXiv: 2208.10929
13.	V.A. Vassiliev, “To the rigid isotopy classification of Morse polynomials of degree 4 in R^2”, 2023 , 52 pp., arXiv: 2311.11113
14.	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
15.	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
16.	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
17.	Victor A. Vassiliev, “New Examples of Irreducible Local Diffusion of Hyperbolic PDE's”, SIGMA, 16 (2020), 9 , 21 pp., arXiv: 1909.13211	1 ^[x]
18.	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]
19.	V. A. Vassiliev, “Algebroidally integrable bodies”, Arnold Math. J., 6:2 (2020), 291–309 , arXiv: 2003.04665 ;	1 ^[x]
20.	V.A.Vasilev, “Vetvyaschiesya ob'emy i gruppy otrazhenii”, MTsNMO, Moskva, 2020 , 104 pp. https://biblio.mccme.ru/node/74704/shop
21.	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
22.	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
23.	V. A. Vassiliev, “New examples of locally algebraically integrable bodies”, Mathematical Notes, 106:6 (2019), 894–898 , arXiv: 1902.07235

2018
24.	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
25.	V. A. Vassiliev, “Lacunas and local algebraicity of volume functions”, J. Singul., 18 (2018), 350–357 , arXiv: 1803.07829	1 ^[x]
26.	V. A. Vassiliev, “Twisted homology of configuration spaces and homology of spaces of equivariant maps”, Dokl. Math., 98:3 (2018), 629–633
27.	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
28.	Victor A. Vassiliev, “Topology of complexes of edge covering partite graphs and hypergraphs”, Combinatorica, 38:5 (2018), 1239–1249	1 ^[x]
29.	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
30.	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

2017
31.	V. A. Vassiliev, “Stable cohomology of spaces of non-resultant polynomial systems in $\mathbb R^3$”, Dokl. Math., 96:3 (2017), 616–619
32.	V. A. Vassiliev, “Multiplicities of bifurcation sets of Pham singularities”, Mosc. Math. J., 17:4 (2017), 825–836 , arXiv: 1701.03909
33.	V. A. Vasilev, “Geometriya diskriminanta”, MTsNMO, Moskva, 2017 , 16 pp. http://www.mccme.ru/free-books/mmmf-lectures/book.41.pdf
34.	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/
35.	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

2016
36.	V. A. Vassiliev, “Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$”, Izv. Math., 80:4 (2016), 791–810
37.	V. A. Vassiliev, “Multiplicities of Maxwell sets of Pham singularities”, Funct. Anal. Appl., 50:3 (2016), 225–227
38.	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]
39.	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
40.	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
41.	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
42.	N. Demina, V. Vasilev, Khirshemaniya i khirshefobiya, “Troitskii variant” 24 (218), s. 6, 2016 http://trv-science.ru/uploads/218N.pdf
43.	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
44.	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	10 ^[x]
45.	V. A. Vassiliev, “A few problems on monodromy and discriminants”, Arnold Math. J., 1:2 (2015), 201–209 , arXiv: 1504.01997	4 ^[x]
46.	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]
47.	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
48.	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
49.	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
50.	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]
51.	V. A. Vasilev, Topologiya dlya mladshekursnikov, MTsNMO, M., 2014 , 160 pp. http://biblio.mccme.ru/node/4822
52.	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
53.	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
54.	V. A. Vasilev, “Bez samoobrazovaniya - nikak”, Troitskii variant, 2013, no. 22(141) (5.11.2013), 8 http://trv-science.ru/141N.pdf
55.	V. A. Vasilev, “Pamyati Andreya Zelevinskogo”, Troitskii variant, 2013, no. 8(127) (23.04.2013), 14 http://trv-science.ru/127N.pdf
56.	V. A. Vasilev, “Finalnyi variant tumanen”, Troitskii variant, 2013, no. 21(140) (22.10.2013), 2 http://trv-science.ru/140N.pdf
57.	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/
58.	V. A. Vasilev, “RAN: reforma protiv evolyutsii”, Polit.ru (30.07.2013), 2013 http://polit.ru/article/2013/07/30/vassiliev_about_ras/
59.	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.
60.	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.
61.	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
62.	V. A. Vasilev, “Nauka i psevdonauka (forum)”, Antropologicheskii forum, 2013, no. 18, 33–36 http://anthropologie.kunstkamera.ru/06/2013_18/

2012
63.	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
64.	V. A. Vasilev, “Boloto egalitarizma”, Troitskii variant, 2012, no. 3(97), 6 http://trv-science.ru/2012/02/14/boloto-ehgalitarizma/#more-14341
65.	V. A. Vasilev, “Allo, my ischem talanty?”, Troitskii variant, 2012, no. 5(99), 1–2
66.	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
67.	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
68.	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
69.	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/
70.	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/
71.	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
72.	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	8 ^[x]
73.	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
74.	V. A. Vassiliev, “Topological complexity and Schwarz genus of general real polynomial equation”, Mosc. Math. J., 11:3 (2011), 617–625	1 ^[x]
75.	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
76.	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
77.	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
78.	V. A. Vasilev, “Tryuki so standartom”, Nauka v fokuse, 2011, no. 001 (Sentyabr 2011), 28
79.	V. A. Vasilev, “Dzhon Milnor, svetlyi i moschnyi talant”, Troitskii variant, 2011, no. 75, 8
80.	V. A. Vasilev, “Otkaz ot fundamentalnosti delaet «kompetentsii» zavedomoi fiktsiei”, Troitskii variant, 2011, no. 85 (16.08.2011), 6–7
81.	V. A. Vasilev, 150 retsenzii na shkolnye uchebniki po matematike, http://www.mi.ras.ru/ṽva/, 2011

2010
82.	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
83.	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
84.	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

2009
85.	S. A. Grishanov, V. A. Vassiliev, “Fiedler type combinatorial formulas for generalized Fiedler type invariants of knots in $M^2\times\mathbf R^1$”, Topology Appl., 156:14 (2009), 2307–2316 http://www.pdmi.ras.ru/ãrnsem/papers/3gv.pdf	6 ^[x]
86.	S. A. Grishanov, V. R. Meshkov, V. A. Vassiliev, “Recognizing textile structures by finite type knot invariants”, J. Knot Theory Ramifications, 18:2 (2009), 209–235 http://www.pdmi.ras.ru/ãrnsem/papers/1gmv.pdf	13 ^[x]
87.	S. Gusein-Zade, Yu. Ilyashenko, D. Kaledin, A. Kuznetsov, S. Lando, A. Sossinski, M. Tsfasman, V. Vassiliev, A. Vershik, “A tribute to Pierre Deligne”, Mosc. Math. J., 9:1 (2009), 1–2
88.	V. A. Vasilev, “Ya khochu, chtoby nashi deti zhili v strane umnykh lyudei”, Matematika v shkole, 2009, no. 5, 3–6 http://www.mccme.ru/edu/vassiliev/m-shk-5-09.pdf
89.	V. A. Vasilev, “Pochemu u matematiki ne poluchaetsya”, Novaya gazeta, 2009, no. 88 (14.08.2009) http://novayagazeta.ru/data/2009/088/13.html
90.	A. Némethi, D. van Straten, V. A. Vassiliev, “Introduction by the Organisers of the workshop “Singularities””, Oberwolfach Reports, 6:3 (2009), 2405–2406

2008
91.	S. A. Grishanov, V. A. Vassiliev, “Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds”, Topology Appl., 155:16 (2008), 1757–1765 http://www.pdmi.ras.ru/ãrnsem/papers/2gv.pdf	5 ^[x]
92.	V. A. Vasilev, “Samyi luchshii IQ-test”, Kompyuterra, 2008, no. 21(737), 16–20 http://www.mccme.ru/edu/vassiliev/KT-737.pdf
93.	V. A. Aleksandrov, Yu. A. Aminov, V. M. Buchstaber, V. A. Vassiliev, N. P. Dolbilin, S. P. Novikov, Yu. G. Reshetnyak, V. A. Sadovnichii, V. T. Fomenko, “Idzhad Khakovich Sabitov (on his 70th birthday)”, Russian Math. Surveys, 63:6 (2008), 1173–1177
94.	V. A. Vasilev, “Prodolzhenie razgovora ob ekspertize uchebnikov”, Matematika (matematicheskaya seriya gazety «Pervoe Sentyabrya»), 2008, no. 4, 4–6

2007
95.	A. V. Chernavskii, Yu. S. Ilyashenko, S. K. Lando, S. V. Matveev, M. A. Tsfasman, V. A. Vassiliev, “Alexei B. Sossinsky”, Mosc. Math. J., 7:4 (2007), 763–764
96.	S. M. Gusein-Zade, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Khovanskii, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, V. A. Vassiliev, V. M. Zakalyukin, “Vladimir Igorevich Arnold”, Mosc. Math. J., 7:3 (2007), 571
97.	V. A. Vassiliev, Yu. G. Zarhin, V. A. Iskovskikh, D. B. Kaledin, Vik. S. Kulikov, Yu. I. Manin, D. O. Orlov, A. N. Parshin, I. R. Shafarevich, “Fedor Alekseevich Bogomolov (on his 60th birthday)”, Russian Math. Surveys, 62:6 (2007), 1233–1237
98.	A. N. Varchenko, V. A. Vassiliev, S. M. Gusein-Zade, A. A. Davydov, V. M. Zakalyukin, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Kushnirenko, S. K. Lando, A. G. Khovanskii, “Vladimir Igorevich Arnold in the Eyes of His Students: On the occasion of his 70th birthday”, Proc. Steklov Inst. Math., 259 (2007), 1–5
99.	V. A. Vasilev, “Matematiki RAN o shkolnykh uchebnikakh po matematike”, Matematika (matematicheskaya seriya gazety «Pervoe Sentyabrya»), 2007, no. 1, 3–6
100.	“Invisible member of the Russian education”, 2007

2006
101.	“On the program of PhD exams on history and philosophy of science (in application to mathematical sciences)”, Vestnik MSU, ser. 20, 2 (2006), 35–39
102.	J. Steenbrink, D. van Straten, V. Vassiliev, “Introduction by the Organisers of the workshop “Singularities””, Oberwolfach Reports, 3:3 (2006), 2505–2506

2005
103.	V. A. Vasil’ev, “Combinatorial computation of combinatorial formulas for knot invariants”, Transactions of Moscow Math. Society, Trans. Moscow Math. Soc., 66, AMS, 2005, 1–83 http://www.ams.org/˜ journals/mosc/2005-66-00/S0077-1554-05-00148-2/S0077-1554-05-00148-2.pdf
104.	V. A. Vassiliev, “First-order invariants and cohomology of spaces of embeddings of self-intersecting curves in $\mathbb R^n$”, Izv. Math., 69:5 (2005), 865–912 http://www.pdmi.ras.ru/ãrnsem/papers/
105.	V. I. Arnold, A. A. Davydov, V. A. Vassiliev, V. M. Zakalyukin, “Mathematical models and control of catastrophic processes”, UNESCO Encyclopaedia of Life Support Systems, v. II, eds. V. I. Agoshkov, J.-P. Puel, EOLSS Publishers, Oxford, UK, 2005, 3–46 http://www.eolss.net/Sample-Chapters/C02/E6-03A-07-05.pdf

2004
106.	V. A. Vassiliev, “Combinatorial formulas for cohomology of spaces of knots”, Advances in topological quantum field theory, NATO Sci. Ser. II Math. Phys. Chem., 179, Kluwer Acad. Publ., Dorderecht, 2004, 1–21 http://www.pdmi.ras.ru/ãrnsem/papers/cofor.ps.gz
107.	“Ramified integals and Picard-Lefschetz theories”, Globus. Seminar of the Moscow Independent University, 2004, 22–58
108.	V. A. Vassiliev, “Role of mathematics, as they think of it”, Notices of the AMS, 51:8 (2004), 870–871

2003
109.	V. A. Vasilev, “Algoritmy dlya kombinatornoi realizatsii kogomologii prostranstv uzlov”, Fundamentalnaya matematika segodnya, NMU, M., 2003, 10–31 http://booksmania.biz/other/textbook4117.html
110.	V. A. Vassiliev, “Spaces of Hermitian operators with simple spectra and their finite-order cohomology”, Mosc. Math. J., 3:3 (2003), 1145–1165 http://www.ams.org/distribution/mmj/vol3-3-2003/vassiliev.pdf, arXiv: 1407.7238	1 ^[x]
111.	S. M. Gusein-Zade, Yu. S. Ilyashenko, A. G. Khovanskii, M. A. Tsfasman, V. A. Vassiliev, “Vladimir Igorevich Arnold”, Mosc. Math. J., 3:2 (2003), 261
112.	Yu. S. Ilyashenko, I. M. Krichever, S. P. Novikov, M. A. Tsfasman, V. A. Vassiliev, “Victor Buchstaber”, Mosc. Math. J., 3:1 (2003), 257
113.	B. L. Feigin, Yu. S. Ilyashenko, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, V. A. Vassiliev, “Alexander Belavin”, Mosc. Math. J., 3:1 (2003), 255–256

2002
114.	V. A. Vassiliev, Applied Picard–Lefschetz theory, Math. Surveys Monogr., 97, Amer. Math. Soc., Providence, RI, 2002 , xii+324 pp.	24 ^[x]

2001
115.	V. A. Vassiliev, “Homology of spaces of knots in any dimensions”, http://www-old.newton.ac.uk/preprints/NI00040.pdf, R. Soc. Lond. Philos. Trans. Ser. A Math. Phys. Eng. Sci., 359:1784 (2001), 1343–1364 http://rsta.royalsocietypublishing.org/content/359/1784/1343.full.pdf	4 ^[x]
116.	V. Vassiliev, “Resolutions of discriminants and topology of their complements”, New developments in singularity theory (Cambridge, 2000), NATO Sci. Ser. II Math. Phys. Chem., 21, Kluwer Acad. Publ., Dorderecht, 2001, 87–115 http://www.pdmi.ras.ru/~arnsem/papers/SIERSHOOL.pdf
117.	V. A. Vassiliev, “Combinatorial formulas for cohomology of knot spaces”, Mosc. Math. J., 1:1 (2001), 91–123 http://www.ams.org/distribution/mmj/vol1-1-2001/vassiliev.pdf, arXiv: 1407.7235	19 ^[x]
118.	V. A. Vassiliev, “Topology of plane arrangements and their complements”, Russian Math. Surveys, 56:2 (2001), 365–401 http://www.pdmi.ras.ru/ãrnsem/papers/UMN.pdf, arXiv: 1407.7236

2000
119.	V. A. Vasilev, Lagranzhevy i lezhandrovy kharakteristicheskie klassy, MTsNMO, M., 2000 , 312 pp.
120.	V. A. Vasilev, Vetvyaschiesya integraly, MTsNMO, M., 2000 , 432 pp.

2004
121.	V. A. Vassiliev, Comments to some 32 problems: V. I. Arnold and his seminar, Arnold's problems, Springer, Berlin, 2004, 238–241, 263, 265–267, 284, 299–300, 310, 313, 316–317, 347, 371–372, 388–389, 394, 407, 416, …

1999
122.	V. A. Vassiliev, “Topological order complexes and resolutions of discriminant sets”, Publ. de l'institut mathematique (Beograd), Nouvelle serie,, Publ. Inst. Math. (Beograd) (N.S.), 66(80), 1999, 165–185 http://elib.mi.sanu.ac.rs/files/journals/publ/86/n080p165.pdf
123.	V. A. Vassiliev, “Homology of $i$-connected graphs and invariants of knots, plane arrangements, etc.”, The Arnoldfest (Toronto, ON, 1997), Fields Inst. Commun., 24, Amer. Math. Soc., Providence, RI, 1999, 451–469 http://www.pdmi.ras.ru/~arnsem/papers/TORON.pdf
124.	V. A. Vassiliev, “Topology of two-connected graphs and homology of spaces of knots”, Differential and symplectic topology of knots and curves, Amer. Math. Soc. Transl. Ser. 2, 190, Amer. Math. Soc., Providence, RI, 1999, 253–286 https://arxiv.org/abs/math/9707212	9 ^[x]
125.	V. A. Vassiliev, “On finite order invariants of triple point free plane curves”, http://arxiv.org/abs/1407.7227, Differential topology, infinite-dimensional Lie algebras, and applications, Amer. Math. Soc. Transl. Ser. 2, 194, Amer. Math. Soc., Providence, RI, 1999, 275–300 http://www.pdmi.ras.ru/ãrnsem/papers/vva-doodles.pdf	6 ^[x]
126.	V. A. Vassiliev, “On a Problem by M. Kazarian”, Funct. Anal. Appl., 33:3 (1999), 220–221
127.	V. A. Vassiliev, “How to Calculate Homology Groups of Spaces of Nonsingular Algebraic Projective Hypersurfaces”, Proc. Steklov Inst. Math., 225 (1999), 121–140 , arXiv: 1407.7229

1998
128.	V. A. Vassiliev, “On invariants and homology of spaces of knots in arbitrary manifolds”, Topics in quantum groups and finite-type invariants, Amer. Math. Soc. Transl. Ser. 2, 185, Amer. Math. Soc., Providence, RI, 1998, 155–182 , arXiv: math/9703207	8 ^[x]
129.	V. A. Vasil'ev, “Homology of spaces of homogeneous polynomials in $\mathbf R^2$ without multiple zeros”, Proc. Steklov Inst. Math., 221 (1998), 133–138 http://www.pdmi.ras.ru/ãrnsem/papers/HOMPOL.pdf, arXiv: 1407.7230
130.	V. A. Vassiliev, “On $r$-neighbourly submanifolds in $\mathbf R^N$”, Topol. Methods Nonlinear Anal., 11:2 (1998), 273–281 http://www.tmna.ncu.pl/files/v11n2-06.pdf, arXiv: 1407.7240	5 ^[x]
131.	V. A. Vassiliev, “Monodromy of complete intersections and surface potentials”, http://arxiv.org/abs/1407.7327, Singularities (Oberwolfach, 1996), Progr. Math., 162, Birkhäuser, Basel, 1998, 205–237 http://www.pdmi.ras.ru/~arnsem/papers/attract.pdf
132.	V. I. Arnold, V. V. Goryunov, O. V. Lyashko, V. A. Vasil'ev, Singularity theory. I, Springer-Verlag, Berlin, 1998 , iv+245 pp.

1997
133.	V. A. Vassiliev, “Stratified Picard–Lefschetz theory with twisted coefficients”, http://arxiv.org/abs/1407.7233, Topics in singularity theory, Amer. Math. Soc. Transl. Ser. 2, 180, Amer. Math. Soc., Providence, RI, 1997, 241–255 http://www.pdmi.ras.ru/~arnsem/papers/SPLTTW.pdf

2001
134.	V. A. Vassiliev, Introduction to topology, Stud. Math. Libr., 14, Amer. Math. Soc., Providence, RI, 2001 , xiv+149 pp.

1997
135.	V. A. Vasilev, Topologiya dopolnenii k diskriminantam, Biblioteka matematika, 3, FAZIS, M., 1997 , xiv+536 pp.
136.	V. A. Vassiliev, “On decision trees for orthants”, Inform. Process. Lett., 62:5 (1997), 265–268	3 ^[x]
137.	V. A. Vasilyev, “Ramification in integral geometry and monodromy of complex links”, Dynamical systems, 3, J. Math. Sci. (New York), 83:4 (1997), 554–558
138.	V. A. Vassiliev, “Holonomic links and Smale principles for multisingularities”, J. Knot Theory Ramifications, 6:1 (1997), 115–123 http://www.pdmi.ras.ru/ãrnsem/papers/vva-holon_knots.pdf	7 ^[x]
139.	D. V. Anosov, A. A. Bolibrukh, V. A. Vassiliev, A. M. Vershik, A. A. Gonchar, M. L. Gromov, S. M. Gusein-Zade, V. M. Zakalyukin, Yu. S. Ilyashenko, V. V. Kozlov, M. L. Kontsevich, Yu. I. Manin, A. I. Neishtadt, S. P. Novikov, Yu. S. Osipov, M. B. Sevryuk, Ya. G. Sinai, A. N. Tyurin, L. D. Faddeev, B. A. Khesin, A. G. Khovanskii, “Vladimir Igorevich Arnol'd (on his 60th birthday)”, Russian Math. Surveys, 52:5 (1997), 1117–1139

1996
140.	V. A. Vassiliev, “Topological complexity of root-finding algorithms”, The mathematics of numerical analysis (Park City, UT, 1995), Lectures in Appl. Math., 32, Amer. Math. Soc., Providence, RI, 1996, 831–856
141.	V. A. Vassiliev, “Topological complexity and real roots of polynomials”, Math. Notes, 60:5 (1996), 503–509
142.	V. A. Vassiliev, “On spaces of polynomial knots”, Sb. Math., 187:2 (1996), 193–213 , arXiv: q-alg/9505008

1995
143.	V. A. Vassiliev, “Topology of discriminants and their complements”, Proceedings of the International Congress of Mathematicians (Zürich, 1994), v. 1, 2, Birkhäuser, Basel, 1995, 209–226 https://www.mathunion.org/fileadmin/ICM/Proceedings/ICM1994.1/ICM1994.1.ocr.pdf	10 ^[x]
144.	V. A. Vassiliev, “Knot invariants and singularity theory”, Singularity theory (Trieste, 1991), World Sci. Publ., River Edge, NJ, 1995, 904–919
145.	V. A. Vassiliev, “Stratified Picard–Lefschetz theory”, Selecta Math. (N.S.), 1:3 (1995), 597–621 http://arxiv.org/pdf/alg-geom/9505015.pdf
146.	V. A. Vassiliev, Ramified integrals, singularities and lacunas, Math. Appl., 315, Kluwer Acad. Publ., Dorderecht, 1995 , xviii+289 pp.

1994
147.	V. A. Vassiliev, “Invariants of ornaments”, Singularities and bifurcations, Adv. Soviet Math., 21, Amer. Math. Soc., Providence, RI, 1994, 225–262 http://www.pdmi.ras.ru/ãrnsem/papers/vva-ornaments.pdf
148.	V. Vassiliev, “The mathematical legacy of “Lacunas for hyperbolic differential equations”. Comment on: “Lacunas for hyperbolic differential operators with constant coefficients. I, II” [Acta Math. 124 (1970), 109–189; ibid. 131 (1973), 145–206] by M. F. Atiyah, R. Bott and L. Gårding”, Raoul Bott: collected papers, v. 2, Contemp. Math., Birkhäuser Boston, Boston, MA, 1994, xxiii–xxviii

1993
149.	V. A. Vassiliev, “Invariants of knots and complements of discriminants”, Developments in mathematics: the Moscow school, Chapman & Hall, London, 1993, 194–250
150.	V. A. Vassiliev, “Complexes of connected graphs”, The Gel'fand Mathematical Seminars, 1990–1992, Birkhäuser Boston, Boston, MA, 1993, 223–235 https://arxiv.org/abs/1409.5999 http://www.pdmi.ras.ru/ãrnsem/papers/congraph.pdf	11 ^[x]
151.	V. A. Vassil’ev, “Cohomology of braid groups and complexity”, From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), Springer, New York, NY, 1993, 359–367
152.	V. A. Vassil'ev, “The Smale-Hirsch principle in catastrophe theory”, From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), Springer, New York, 1993, 117–128
153.	V. I. Arnol'd, V. V. Goryunov, O. V. Lyashko, V. A. Vassiliev, Singularity theory. II, Dynamical Systems, 39, Springer, Berlin–New York, 1993 , 233 pp.
154.	V. Vasilev, V. Ginzburg, A. Kirillov, Nasha nauka sposobna k samovozrozhdeniyu, “Izvestiya” # 128, 10 iyulya 1993 g., s. 8., 1993

1992
155.	V. A. Vassiliev, Complements of discriminants of smooth maps: topology and applications, Translated from the Russian by B. Goldfarb, Trans. Math. Monogr., 98, Amer. Math. Soc., Providence, RI, 1992 , vi+208 pp. ; Second extended edition, 1994
156.	V. A. Vassiliev, “On function spaces that are interpolating at any $k$ nodes”, Funct. Anal. Appl., 26:3 (1992), 209–210

1993
157.	V. A. Vassiliev, “Geometry of local lacunae of hyperbolic operators with constant coefficients”, Russian Acad. Sci. Sb. Math., 75:1 (1993), 111–123

1992
158.	V. A. Vassiliev, “Geometric realization of the homology of classical Lie groups, and complexes that are $S$-dual to flag manifolds”, St. Petersburg Math. J., 3:4 (1992), 809–815

1991
159.	V. A. Vassiliev, V. V. Serganova, “On the number of real and complex moduli of singularities of smooth functions and realizations of matroids”, Math. Notes, 49:1 (1991), 15–20

1990
160.	V. A. Vasilev, Kogomologii prostranstv uzlov, Preprint IPM AN SSSR, № 91, IPM AN SSSR, Moskva, 1990 , 29 pp.
161.	V. A. Vasilev, Gomologicheskie invarianty uzlov: algoritmy i vychisleniya, Preprint IPM AN SSSR, № 90, 1990 , 23 pp.
162.	V. A. Vassiliev, “Cohomology of knot spaces”, Theory of singularities and its applications, Adv. Soviet Math., 1, American Mathematical Society, Providence, RI, 1990, 23–69 https://www.researchgate.net/publication/239666272_Cohomology_of_knot_spaces
163.	V. A. Vassiliev, “Topology of complements to discriminants and loop spaces”, Theory of singularities and its applications, Adv. Soviet Math., 1, American Mathematical Society, Providence, RI, 1990, 9–21
164.	V. I. Arnold, V. A. Vasilev, “Addendum to: "Newtons Principia read 300 years later”, Notices Amer. Math. Soc., 37:2 (1990), 144 https://www.ams.org/journals/notices/199002/199002FullIssue.pdf?cat=fullissue&trk=fullissue199002

1992
165.	V. A. Vassiliev, “Lacunas of hyperbolic partial differential equations and singularity theory”, Amer. Math. Soc. Transl. (2), 153 (1992), 25–37
166.	V. A. Vassiliev, “Characteristic classes of singularities”, Amer. Math. Soc. Transl. (2), 1992, no. 153, 11–23

1989
167.	V. I. Arnold, V. A. Vasilev, “Newtons Principia read 300 years later”, Notices Amer. Math. Soc., 36:9 (1989), 1148–1154 https://www.ams.org/journals/notices/198911/198911FullIssue.pdf?cat=fullissue&trk=fullissue198911

1990
168.	V. A. Vassiliev, “Topological complexity of algorithms for the approximate solution of systems of polynomial equations”, Leningrad Math. J., 1:6 (1990), 1401–1417

1989
169.	V. A. Vassiliev, “Topology of spaces of functions without compound singularities”, Funct. Anal. Appl., 23:4 (1989), 277–286
170.	V. I. Arnol'd, V. A. Vassiliev, V. V. Goryunov, O. V. Lyashko, “Singularities. II. Classification and applications”, Dynamical systems – 8, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 39, VINITI, Moscow, 1989, 5–249 , 256 pp.
171.	V. A. Vassiliev, “On the topology of spaces of functions without complex singularities”, Russian Math. Surveys, 44:3 (1989), 218–219

1988
172.	V. A. Vassilyev, Lagrange and Legendre characteristic classes, Adv. Stud. Contemp. Math., 3, Frst edition, Gordon and Breach Sci. Publ., New York, 1988 , x+268 pp. ; Second revised edition, 1993 , x+267 pp.
173.	V. A. Vassiliev, “Braid group cohomologies and algorithm complexity”, Funct. Anal. Appl., 22:3 (1988), 182–190

1990
174.	V. A. Vassiliev, “Stable cohomology of complements to the discriminants of deformations of singularities of smooth functions”, J. Soviet Math., 52:4 (1990), 3217–3230

1988
175.	V. I. Arnol'd, V. A. Vassiliev, V. V. Goryunov, O. V. Lyashko, “Singularities. I. Local and global theory”, Dynamical systems – 6, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 6, VINITI, Moscow, 1988, 5–250

1994
176.	V. A. Vassiliev, “Sharp and diffuse fronts of hyperbolic equations.”, Chapter 6 in the article: A. I. Komech, Linear partial differential equations, Encyclopaedia of Mathematical sciences, 31 (1994), 245–255 , Springer, Berlin

1987
177.	V. A. Vassiliev, I. M. Gel'fand, A. V. Zelevinskii, “General hypergeometric functions on complex Grassmannians”, Funct. Anal. Appl., 21:1 (1987), 19–31
178.	V. A. Vassiliev, “Stable cohomologies of complements to discriminant manifolds of singularities of holomorphic functions”, Russian Math. Surveys, 42:2 (1987), 307–308
179.	V. A. Vassiliev, “Sharpness and the local Petrovskii condition for strictly hyperbolic operators with constant coefficients”, Math. USSR-Izv., 28:2 (1987), 233–273

1986
180.	V. A. Vasilev, “Rezkie fronty giperbolicheskikh operatorov s postoyannymi koeffitsientami”, Sovmestnye zasedaniya seminara imeni I.G. Petrovskogo po differentsialnym uravneniyam i matematicheskim problemam fiziki i Moskovskogo matematicheskogo obschestva (Moskva, 20–23 yanvarya 1986 g.), UMN, 41:4 (1986), 162	26 ^[x]
181.	V. A. Vassiliev, I. M. Gel'fand, A. V. Zelevinskii, “The behavior of general hypergeometric functions in a complex domain”, Dokl. Akad. Nauk SSSR, 290:2 (1986), 277–281

1984
182.	S. A. Nazarov, A. L. Krylov, A. E. Lifshits, V. A. Vassiliev, A. V. Mikhailov, B. A. Dubrovin, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 39:2(236) (1984), 217–221
183.	V. A. Vasilev, “Primechanie perevodchika k state M. F. Ati, R. Botta i L. Gordinga «Lakuny dlya giperbolicheskikh differentsialnykh operatorov s postoyannymi koeffitsientami. II»”, Uspekhi matematicheskikh nauk, 39:3 (1984), 221–223

1982
184.	V. A. Vassiliev, “Self-intersections of wave fronts and Legendre (Lagrangian) characteristic numbers”, Funct. Anal. Appl., 16:2 (1982), 131–133

1981
185.	V. A. Vassiliev, “Characteristic classes of Lagrangian and Legendre manifolds dual to singularities of caustics and wave fronts”, Funct. Anal. Appl., 15:3 (1981), 164–173

1979
186.	V. A. Vassiliev, “Asymptotic behavior of exponential integrals in the complex domain”, Funct. Anal. Appl., 13:4 (1979), 239–247

1978
187.	V. A. Vassiliev, “Affineness of normal forms of strata $\mu=\mathrm{const}$ of germs of smooth functions”, Funct. Anal. Appl., 12:3 (1978), 218–220

1977
188.	V. A. Vassiliev, “Asymptotic exponential integrals, Newton's diagram, and the classification of minimal points”, Funct. Anal. Appl., 11:3 (1977), 163–172

Presentations in Math-Net.Ru

1.	Algebraically integrable bodies V. A. Vassiliev Seminar "Complex analysis in several variables" (Vitushkin Seminar) February 26, 2020 16:45
2.	Новые примеры неприводимой диффузии гиперболических уравнений в частных производных V. A. Vassiliev Meetings of the Moscow Mathematical Society September 17, 2019 18:30
3.	Дискриминанты и инварианты, занятие 4 V. A. Vassiliev July 25, 2019 15:30
4.	Дискриминанты и инварианты, занятие 3 V. A. Vassiliev July 23, 2019 09:30
5.	Дискриминанты и инварианты, занятие 2 V. A. Vassiliev July 21, 2019 11:15
6.	Дискриминанты и инварианты, занятие 1 V. A. Vassiliev July 19, 2019 11:15
7.	Комплексы графов и разбиений и гомологии конфигурационных пространств V. A. Vassiliev Meetings of the Moscow Mathematical Society September 11, 2018 18:30
8.	Среднее число пересечений тригонометрических плоских кривых в L_2 или W_2^r-статистике V. A. Vassiliev Dobrushin Mathematics Laboratory Seminar October 24, 2017 16:00
9.	Среднее число пересечений тригонометрических плоских кривых в $L_2$ или $W_2^r$-статистике V. A. Vassiliev Meetings of the Moscow Mathematical Society September 19, 2017
10.	Критические точки функций, их классификация, распадения и вырождения. Занятие 4 V. A. Vassiliev XVII Summer School "Contemporary Mathematics", 2017 July 26, 2017 12:45
11.	Критические точки функций, их классификация, распадения и вырождения. Занятие 3 V. A. Vassiliev XVII Summer School "Contemporary Mathematics", 2017 July 25, 2017 09:30
12.	Критические точки функций, их классификация, распадения и вырождения. Занятие 2 V. A. Vassiliev XVII Summer School "Contemporary Mathematics", 2017 July 23, 2017 09:30
13.	Критические точки функций, их классификация, распадения и вырождения. Занятие 1 V. A. Vassiliev XVII Summer School "Contemporary Mathematics", 2017 July 21, 2017 17:15
14.	On the complexity of the bifurcation sets of critical points of smooth functions V. A. Vassiliev International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin October 10, 2016 11:30
15.	Инварианты плоских кривых. Занятие 4 V. A. Vassiliev Summer School "Contemporary Mathematics", 2016 July 29, 2016 17:15
16.	Инварианты плоских кривых. Занятие 3 V. A. Vassiliev Summer School "Contemporary Mathematics", 2016 July 28, 2016 17:15
17.	Инварианты плоских кривых. Занятие 2 V. A. Vassiliev Summer School "Contemporary Mathematics", 2016 July 26, 2016 11:15
18.	Инварианты плоских кривых. Занятие 1 V. A. Vassiliev Summer School "Contemporary Mathematics", 2016 July 25, 2016 11:15
19.	Linking numbers in non-orientable 3-manifolds V. A. Vassiliev III International Conference "Quantum Topology" June 20, 2016 10:00
20.	150+ Years of Moscow Mathematical Society V. A. Vassiliev The meeting of executive committee of EMS in Moscow November 27, 2015 18:00
21.	Newton's lemma on integrable oval in higher dimensions and reflection groups V. A. Vassiliev Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2015 November 11, 2015 12:15
22.	Перечисление морсификаций особенностей гладких функций V. A. Vassiliev Meetings of the Moscow Mathematical Society September 22, 2015
23.	Критические точки функций и их деформации. Занятие 4 V. A. Vassiliev Summer School "Contemporary Mathematics", 2015 July 26, 2015 11:15
24.	Критические точки функций и их деформации. Занятие 3 V. A. Vassiliev Summer School "Contemporary Mathematics", 2015 July 24, 2015 15:30
25.	Критические точки функций и их деформации. Занятие 2 V. A. Vassiliev Summer School "Contemporary Mathematics", 2015 July 22, 2015 09:30
26.	Критические точки функций и их деформации. Занятие 1 V. A. Vassiliev Summer School "Contemporary Mathematics", 2015 July 20, 2015 15:30
27.	Вступительное слово V. A. Vassiliev Conference "Moscow Mathematical Society and Lomonosov Moscow State University" dedicated to the 150th anniversary of Moscow Mathematical Society December 23, 2014 18:00
28.	Инварианты узлов в нетривиальных 3-мерных многообразиях V. A. Vassiliev Meetings of the Moscow Mathematical Society September 30, 2014
29.	Ветвящиеся объемы и группы отражений. Лекция 4 V. A. Vassiliev Summer School "Contemporary Mathematics", 2014 July 26, 2014 17:00
30.	Ветвящиеся объемы и группы отражений. Лекция 3 V. A. Vassiliev Summer School "Contemporary Mathematics", 2014 July 24, 2014 17:00
31.	Ветвящиеся объемы и группы отражений. Лекция 2 V. A. Vassiliev Summer School "Contemporary Mathematics", 2014 July 22, 2014 11:15
32.	Ветвящиеся объемы и группы отражений. Лекция 1 V. A. Vassiliev Summer School "Contemporary Mathematics", 2014 July 20, 2014 09:30
33.	Algebraicity of volume functions and geometry of complex hypersurfaces V. A. Vassiliev Algebraic Geometry and Number Theory June 24, 2014 16:30
34.	Multidimensional Newton lemma on algebraically integrable oval V. A. Vassiliev Steklov Mathematical Institute Seminar April 24, 2014 16:00
35.	Лемма Ньютона об интегрируемых овалах и группы, порожденные отражениями V. A. Vassiliev P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics December 2, 2013 18:30
36.	Лемма Ньютона об интегрируемых овалах и группы, порожденные отражениями V. A. Vassiliev Meetings of the Moscow Mathematical Society September 24, 2013 18:30
37.	Ветвящиеся объемы. Лекция 2 V. A. Vassiliev Summer School "Contemporary Mathematics", 2013 July 29, 2013 11:15
38.	Ветвящиеся объемы. Лекция 1 V. A. Vassiliev Summer School "Contemporary Mathematics", 2013 July 28, 2013 12:45
39.	Geometry of discriminants and the equation solving complexity. Lecture 4 V. A. Vassiliev Summer School "Contemporary Mathematics", 2012 July 28, 2012 17:00
40.	Geometry of discriminants and the equation solving complexity. Lecture 3 V. A. Vassiliev Summer School "Contemporary Mathematics", 2012 July 26, 2012 09:30
41.	Geometry of discriminants and the equation solving complexity. Lecture 2 V. A. Vassiliev Summer School "Contemporary Mathematics", 2012 July 25, 2012 11:15
42.	Geometry of discriminants and the equation solving complexity. Lecture 1 V. A. Vassiliev Summer School "Contemporary Mathematics", 2012 July 24, 2012 09:30
43.	Topological complexity of approximate calculation of roots of polynomials V. A. Vassiliev Steklov Mathematical Institute Seminar March 15, 2012 16:00
44.	Homology, sets of planes and inclusion-exclusion formula. Lecture 5 V. A. Vassiliev Summer School "Contemporary Mathematics", 2011 July 28, 2011 17:00
45.	Homology, sets of planes and inclusion-exclusion formula. Lecture 4 V. A. Vassiliev Summer School "Contemporary Mathematics", 2011 July 26, 2011 17:00
46.	Homology, sets of planes and inclusion-exclusion formula. Lecture 3 V. A. Vassiliev Summer School "Contemporary Mathematics", 2011 July 24, 2011 15:30
47.	Homology, sets of planes and inclusion-exclusion formula. Lecture 2 V. A. Vassiliev Summer School "Contemporary Mathematics", 2011 July 22, 2011 11:15
48.	Homology, sets of planes and inclusion-exclusion formula. Lecture 1 V. A. Vassiliev Summer School "Contemporary Mathematics", 2011 July 20, 2011 09:30
49.	Инварианты многокомпонентных зацеплений в ориентируемых 3-многообразиях с нетривиальной фундаментальной группой V. A. Vassiliev Combinatorics of Vassiliev invariants March 21, 2011 17:00
50.	Топология инвариантов конечного порядка V. A. Vassiliev Combinatorics of Vassiliev invariants February 28, 2011 17:00
51.	Алгебраичность поверхностных потенциалов и монодромия полных пересечений V. A. Vassiliev Meetings of the Moscow Mathematical Society September 14, 2010
52.	Когомологии пространства узлов и их комбинаторные формулы V. A. Vassiliev Meetings of the Moscow Mathematical Society November 9, 2004
53.	Cohomolgies of the space of knots and their combinatorial formulas V. A. Vassiliev Meetings of the St. Petersburg Mathematical Society October 7, 2003
54.	Elementary topological problems V. A. Vassiliev Summer School "Contemporary Mathematics", 2001 July 24, 2001
55.	On $k$-convex submanifolds in Eucledean space V. A. Vassiliev General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences October 15, 1997

Books in Math-Net.Ru

V. A. Vassiliev, Ramified volumes and reflection groups, 2021, 104 с.
http://mi.mathnet.ru/book2054

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