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
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, “Complements of discriminants of simple real function singularities”, Isr. J. Math., 2024, 1–33 (Published online) , arXiv: 2109.12287
5.
V.A. Vassiliev, “Cohomology of spaces of Hopf equivariant maps of spheres”, Homology, Homotopy and Applications, 26:2 (2024), 219–227 , arXiv: 2102.07157
6.
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
7.
V.A. Vassiliev, “Complements of discriminants of real parabolic function singularities”, Moscow Mathematical Journal, 23:3 (2023), 401–432 , arXiv: 2208.10929
8.
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
9.
Victor A. Vassiliev, “New Examples of Irreducible Local Diffusion of Hyperbolic PDE's”, SIGMA, 16 (2020), 9 , 21 pp., arXiv: 1909.13211
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
23.
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
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
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
27.
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, 165–171http://www.ams.org/bookstore-getitem/item=mbk-86
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), 345–370http://ag.hse.ru/data/2012/03/12/1211315126/4gv.pdf
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), 371–387http://www.pdmi.ras.ru/ãrnsem/papers/5gv.pdf
32.
V. A. Vassiliev, “Topological complexity and Schwarz genus of general real polynomial equation”, Mosc. Math. J., 11:3 (2011), 617–625
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), 2307–2316http://www.pdmi.ras.ru/ãrnsem/papers/3gv.pdf
S. A. Grishanov, V. R. Meshkov, V. A. Vassiliev, “Recognizing textile structures by finite type knot invariants”, J. Knot Theory Ramifications, 18:2 (2009), 209–235http://www.pdmi.ras.ru/ãrnsem/papers/1gmv.pdf
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), 1757–1765http://www.pdmi.ras.ru/ãrnsem/papers/2gv.pdf
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), 865–912http://www.pdmi.ras.ru/ãrnsem/papers/
39.
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, 3–46http://www.eolss.net/Sample-Chapters/C02/E6-03A-07-05.pdf
40.
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, 1–21http://www.pdmi.ras.ru/ãrnsem/papers/cofor.ps.gz
41.
“Ramified integals and Picard-Lefschetz theories”, Globus. Seminar of the Moscow Independent University, 2004, 22–58
42.
V. A. Vasilev, “Algoritmy dlya kombinatornoi realizatsii kogomologii prostranstv uzlov”, Fundamentalnaya matematika segodnya, NMU, M., 2003, 10–31 http://booksmania.biz/other/textbook4117.html
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
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, …
49.
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, 165–185http://elib.mi.sanu.ac.rs/files/journals/publ/86/n080p165.pdf
50.
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
51.
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
V. A. Vassiliev, “On a Problem by M. Kazarian”, Funct. Anal. Appl., 33:3 (1999), 220–221
54.
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
55.
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
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
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
64.
V. A. Vassiliev, “Topological complexity and real roots of polynomials”, Math. Notes, 60:5 (1996), 503–509
65.
V. A. Vassiliev, “On spaces of polynomial knots”, Sb. Math., 187:2 (1996), 193–213 , arXiv: q-alg/9505008
66.
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
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
71.
V. A. Vassiliev, “Invariants of knots and complements of discriminants”, Developments in mathematics: the Moscow school, Chapman & Hall, London, 1993, 194–250
72.
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
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
74.
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
75.
V. A. Vassiliev, “On function spaces that are interpolating at any $k$ nodes”, Funct. Anal. Appl., 26:3 (1992), 209–210
76.
V. A. Vassiliev, “Geometry of local lacunae of hyperbolic operators with constant coefficients”, Russian Acad. Sci. Sb. Math., 75:1 (1993), 111–123
77.
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
78.
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
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
81.
V. A. Vassiliev, “Lacunas of hyperbolic partial differential equations and singularity theory”, Amer. Math. Soc. Transl. (2), 153 (1992), 25–37
82.
V. A. Vassiliev, “Characteristic classes of singularities”, Amer. Math. Soc. Transl. (2), 1992, no. 153, 11–23
V. A. Vassiliev, “Topological complexity of algorithms for the approximate solution of systems of polynomial equations”, Leningrad Math. J., 1:6 (1990), 1401–1417
85.
V. A. Vassiliev, “Topology of spaces of functions without compound singularities”, Funct. Anal. Appl., 23:4 (1989), 277–286
86.
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.
87.
V. A. Vassiliev, “On the topology of spaces of functions without complex singularities”, Russian Math. Surveys, 44:3 (1989), 218–219
88.
V. A. Vassiliev, “Braid group cohomologies and algorithm complexity”, Funct. Anal. Appl., 22:3 (1988), 182–190
89.
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
90.
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
91.
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
92.
V. A. Vassiliev, I. M. Gel'fand, A. V. Zelevinskii, “General hypergeometric functions on complex Grassmannians”, Funct. Anal. Appl., 21:1 (1987), 19–31
93.
V. A. Vassiliev, “Stable cohomologies of complements to discriminant manifolds of singularities of holomorphic functions”, Russian Math. Surveys, 42:2 (1987), 307–308
94.
V. A. Vassiliev, “Sharpness and the local Petrovskii condition for strictly hyperbolic operators with constant coefficients”, Math. USSR-Izv., 28:2 (1987), 233–273
95.
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
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
97.
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
98.
V. A. Vassiliev, “Self-intersections of wave fronts and Legendre (Lagrangian) characteristic numbers”, Funct. Anal. Appl., 16:2 (1982), 131–133
99.
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
100.
V. A. Vassiliev, “Asymptotic behavior of exponential integrals in the complex domain”, Funct. Anal. Appl., 13:4 (1979), 239–247
101.
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
102.
V. A. Vassiliev, “Asymptotic exponential integrals, Newton's diagram, and the classification of minimal points”, Funct. Anal. Appl., 11:3 (1977), 163–172
Books
103.
V.A.Vasilev, “Vetvyaschiesya ob'emy i gruppy otrazhenii”, MTsNMO, Moskva, 2020 , 104 pp. https://biblio.mccme.ru/node/74704/shop
104.
V. A. Vassiliev, Applied Picard–Lefschetz theory, Math. Surveys Monogr., 97, Amer. Math. Soc., Providence, RI, 2002 , xii+324 pp.
V. A. Vasilev, Lagranzhevy i lezhandrovy kharakteristicheskie klassy, MTsNMO, M., 2000 , 312 pp.
106.
V. A. Vasilev, Vetvyaschiesya integraly, MTsNMO, M., 2000 , 432 pp.
107.
V. I. Arnold, V. V. Goryunov, O. V. Lyashko, V. A. Vasil'ev, Singularity theory. I, Springer-Verlag, Berlin, 1998 , iv+245 pp.
108.
V. A. Vassiliev, Introduction to topology, Stud. Math. Libr., 14, Amer. Math. Soc., Providence, RI, 2001 , xiv+149 pp.
109.
V. A. Vasilev, Topologiya dopolnenii k diskriminantam, Biblioteka matematika, 3, FAZIS, M., 1997 , xiv+536 pp.
110.
V. A. Vassiliev, Ramified integrals, singularities and lacunas, Math. Appl., 315, Kluwer Acad. Publ., Dorderecht, 1995 , xviii+289 pp.
111.
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.
112.
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
113.
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.
Proceedings
114.
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
Preprints
115.
V. A. Vasilev, Kogomologii prostranstv uzlov, Preprint IPM AN SSSR, № 91, IPM AN SSSR, Moskva, 1990 , 29 pp.
116.
V. A. Vasilev, Gomologicheskie invarianty uzlov: algoritmy i vychisleniya, Preprint IPM AN SSSR, № 90, 1990 , 23 pp.
ArXiv
117.
V.A. Vassiliev, To the isotopy classification of Morse polynomials of degree 3 in R^3, 2024 , 24 pp., arXiv: 2404.17891
118.
V.A. Vassiliev, "Complements of discriminants of real singularities of type $X_{10}$", 2023 , 17 pp., arXiv: 2301.06994
119.
V.A. Vassiliev, "Average intersection number of trigonometric plane curves in $L_2$ and $W^r_2$ statistics", 2023 , 9 pp., arXiv: 2303.12645
120.
V.A. Vassiliev, “To the rigid isotopy classification of Morse polynomials of degree 4 in R^2”, 2023 , 32 pp., arXiv: 2311.11113
121.
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
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.
125.
V. A. Vasilev, “Samyi luchshii IQ-test”, Kompyuterra, 2008, no. 21(737), 16–20 http://www.mccme.ru/edu/vassiliev/KT-737.pdf
126.
“Invisible member of the Russian education”, 2007
127.
“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
Information matherials
128.
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
Personalia
129.
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
130.
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
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
133.
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
134.
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
135.
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
136.
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
137.
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
138.
V. A. Vasilev, “Pamyati Andreya Zelevinskogo”, Troitskii variant, 2013, no. 8(127) (23.04.2013), 14http://trv-science.ru/127N.pdf
139.
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
140.
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
141.
V. A. Vasilev, “Dzhon Milnor, svetlyi i moschnyi talant”, Troitskii variant, 2011, no. 75, 8
142.
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
143.
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), 481–483http://www.ams.org/distribution/mmj/vol10-3-2010/viarnold.html
144.
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
145.
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
146.
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
147.
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
148.
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
149.
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
150.
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
151.
Yu. S. Ilyashenko, I. M. Krichever, S. P. Novikov, M. A. Tsfasman, V. A. Vassiliev, “Victor Buchstaber”, Mosc. Math. J., 3:1 (2003), 257
152.
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
153.
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
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
156.
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/
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
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
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
163.
V. A. Vasilev, “Bez samoobrazovaniya - nikak”, Troitskii variant, 2013, no. 22(141) (5.11.2013), 8http://trv-science.ru/141N.pdf
164.
V. A. Vasilev, “Finalnyi variant tumanen”, Troitskii variant, 2013, no. 21(140) (22.10.2013), 2http://trv-science.ru/140N.pdf
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.
168.
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
V. A. Vasilev, “Allo, my ischem talanty?”, Troitskii variant, 2012, no. 5(99), 1–2
172.
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), 2http://trv-science.ru/2012/09/11/
A. Némethi, D. van Straten, V. A. Vassiliev, “Introduction by the Organisers of the workshop “Singularities””, Oberwolfach Reports, 6:3 (2009), 2405–2406
182.
V. A. Vasilev, “Prodolzhenie razgovora ob ekspertize uchebnikov”, Matematika (matematicheskaya seriya gazety «Pervoe Sentyabrya»), 2008, no. 4, 4–6
183.
V. A. Vasilev, “Matematiki RAN o shkolnykh uchebnikakh po matematike”, Matematika (matematicheskaya seriya gazety «Pervoe Sentyabrya»), 2007, no. 1, 3–6
184.
J. Steenbrink, D. van Straten, V. Vassiliev, “Introduction by the Organisers of the workshop “Singularities””, Oberwolfach Reports, 3:3 (2006), 2505–2506
185.
V. A. Vassiliev, “Role of mathematics, as they think of it”, Notices of the AMS, 51:8 (2004), 870–871
186.
V. Vasilev, V. Ginzburg, A. Kirillov, Nasha nauka sposobna k samovozrozhdeniyu, “Izvestiya” # 128, 10 iyulya 1993 g., s. 8., 1993
Letters, errata
187.
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 ; arXiv: 2212.07510; ;
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
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
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