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Vassiliev Victor Anatolievich
(full list of publications)
| by years | scientific publications | by types |


1. Victor A. Vassiliev, “Topology of complexes of edge covering partite graphs and hypergraphs”, Combinatorica, 2017, 1–11 (Published online)  mathnet  crossref  scopus
2. V. A. Vassiliev, “Stable cohomology of spaces of non-resultant polynomial systems in $\mathbb R^3$”, Dokl. Math., 96:3 (2017), 616–619  mathnet  crossref  crossref  isi  elib  scopus
3. V. A. Vassiliev, “Multiplicities of bifurcation sets of Pham singularities”, Mosc. Math. J., 17:4 (2017), 825–836 , arXiv: 1701.03909  mathnet  mathscinet  isi  scopus

4. V. A. Vassiliev, “Homology groups of spaces of non-resultant quadratic polynomial systems in ${\mathbb R}^3$”, Izv. Math., 80:4 (2016), 791–810  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
5. V. A. Vassiliev, “Multiplicities of Maxwell sets of Pham singularities”, Funct. Anal. Appl., 50:3 (2016), 225–227  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)
6. Victor A. Vassiliev, “Linking numbers in non-orientable 3-manifolds”, J. Knot. Theor. Ramif., 25:12 (2016), 1642016 , 13 pp., arXiv: 1606.05876  mathnet  crossref  mathscinet  isi  elib  scopus
7. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)

8. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 3)
9. V. A. Vassiliev, “A few problems on monodromy and discriminants”, Arnold Math. J., 1:2 (2015), 201–209 , arXiv: 1504.01997  mathnet  crossref  mathscinet  zmath
10. 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  mathnet (cited: 1)  crossref  mathscinet (cited: 1)  zmath
11. 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  mathnet  crossref  crossref  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)

12. 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  crossref

13. 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
14. 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  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

15. 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  crossref  mathscinet (cited: 5)  zmath  isi (cited: 4)  elib (cited: 4)  scopus (cited: 6)
16. 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  crossref  mathscinet  zmath  isi  elib  scopus
17. V. A. Vassiliev, “Topological complexity and Schwarz genus of general real polynomial equation”, Mosc. Math. J., 11:3 (2011), 617–625  mathnet (cited: 1)  mathscinet (cited: 1)  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
18. 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  mathnet  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus (cited: 1)

19. 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  crossref  mathscinet (cited: 5)  zmath  isi (cited: 6)  scopus (cited: 5)
20. 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  crossref  mathscinet (cited: 9)  zmath  isi (cited: 7)  elib (cited: 10)  scopus (cited: 11)

21. 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  crossref  mathscinet (cited: 4)  zmath  isi (cited: 4)  scopus (cited: 4)

22. V. A. Vasilev, “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  crossref  mathscinet
23. 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/  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 3)
24. 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

25. 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  mathscinet (cited: 6)  zmath
26. “Ramified integals and Picard-Lefschetz theories”, Globus. Seminar of the Moscow Independent University, 2004, 22–58

27. V. A. Vasilev, “Algoritmy dlya kombinatornoi realizatsii kogomologii prostranstv uzlov”, Fundamentalnaya matematika segodnya, NMU, M., 2003, 10–31 http://booksmania.biz/other/textbook4117.html  mathscinet (cited: 1)
28. 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  mathnet  mathscinet  zmath

29. 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  crossref  mathscinet (cited: 4)  zmath  adsnasa  isi (cited: 4)  elib (cited: 4)  scopus (cited: 5)
30. 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  mathscinet (cited: 3)  zmath
31. 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  mathnet (cited: 13)  mathscinet (cited: 12)  zmath  elib (cited: 12)
32. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 4)  scopus (cited: 4)

33. 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, …

34. 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  mathscinet (cited: 8)  zmath
35. 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  mathscinet (cited: 3)  zmath
36. 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 http://citeseerx.ist.psu.edu/viewdoc/download?doi=  crossref  mathscinet (cited: 12)  zmath
37. 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  crossref  mathscinet (cited: 5)  zmath
38. V. A. Vassiliev, “On a Problem by M. Kazarian”, Funct. Anal. Appl., 33:3 (1999), 220–221  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
39. V. A. Vassiliev, “How to Calculate Homology Groups of Spaces of Nonsingular Algebraic Projective Hypersurfaces”, Proc. Steklov Inst. Math., 225 (1999), 121–140 http://citeseerx.ist.psu.edu/viewdoc/download?doi=, arXiv: 1407.7229  mathnet  mathscinet  zmath

40. 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  crossref  mathscinet (cited: 9)  zmath
41. 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  mathnet  mathscinet  zmath
42. 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  mathscinet (cited: 4)  zmath
43. 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  mathscinet  zmath

44. 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  crossref  mathscinet (cited: 1)  zmath
45. V. A. Vassiliev, “On decision trees for orthants”, Inform. Process. Lett., 62:5 (1997), 265–268  crossref  mathscinet (cited: 2)  zmath  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)
46. 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  crossref  mathscinet  scopus
47. 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  crossref  mathscinet (cited: 7)  zmath  isi (cited: 6)  elib (cited: 6)  scopus (cited: 6)

48. 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  mathscinet (cited: 5)  zmath
49. V. A. Vassiliev, “Topological complexity and real roots of polynomials”, Math. Notes, 60:5 (1996), 503–509  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus
50. V. A. Vassiliev, “On spaces of polynomial knots”, Sb. Math., 187:2 (1996), 193–213 , arXiv: q-alg/9505008  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)

51. 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 http://www.mathunion.org/ICM/ICM1994.1/Main/icm1994.1.0209.0226.ocr.pdf  mathscinet (cited: 21)  zmath
52. V. A. Vassiliev, “Knot invariants and singularity theory”, Singularity theory (Trieste, 1991), World Sci. Publ., River Edge, NJ, 1995, 904–919  mathscinet  zmath
53. V. A. Vassiliev, “Stratified Picard–Lefschetz theory”, Selecta Math. (N.S.), 1:3 (1995), 597–621 http://arxiv.org/pdf/alg-geom/9505015.pdf  crossref  mathscinet  zmath  elib  scopus

54. 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  mathscinet (cited: 13)  zmath
55. 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  mathscinet

56. V. A. Vassiliev, “Invariants of knots and complements of discriminants”, Developments in mathematics: the Moscow school, Chapman & Hall, London, 1993, 194–250  mathscinet (cited: 5)  zmath
57. V. A. Vassiliev, “Complexes of connected graphs”, The Gel'fand Mathematical Seminars, 1990–1992, Birkhäuser Boston, Boston, MA, 1993, 223–235 http://www.pdmi.ras.ru/ãrnsem/papers/congraph.pdf  crossref  mathscinet (cited: 22)  zmath
58. V. A. Vassilev, “Cohomology of braid groups and complexity”, From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), Springer, New York, NY, 1993, 359–367  crossref  mathscinet (cited: 1)  zmath
59. 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  crossref  mathscinet (cited: 1)  zmath

60. V. A. Vassiliev, “On function spaces that are interpolating at any $k$ nodes”, Funct. Anal. Appl., 26:3 (1992), 209–210  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 4)

61. V. A. Vassiliev, “Geometry of local lacunae of hyperbolic operators with constant coefficients”, Russian Acad. Sci. Sb. Math., 75:1 (1993), 111–123  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)

62. 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  mathnet  mathscinet  zmath

63. 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  mathnet  crossref  mathscinet  zmath  isi  elib (cited: 1)  scopus

64. 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  mathscinet (cited: 208)
65. 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  mathscinet (cited: 8)

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

68. V. I. Arnol'd, V. A. Vasil'ev, “Newton's Principia read 300 years later”, Notices Amer. Math. Soc., 36:9 (1989), 1148–1154 http://www.currentscience.ac.in/Downloads/article_id_061_02_0089_0095_0.pdf  mathscinet (cited: 10)  zmath

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

70. V. A. Vassiliev, “Topology of spaces of functions without compound singularities”, Funct. Anal. Appl., 23:4 (1989), 277–286  mathnet  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 9)
71. 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.  mathnet  mathscinet  zmath
72. V. A. Vassiliev, “On the topology of spaces of functions without complex singularities”, Russian Math. Surveys, 44:3 (1989), 218–219  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

73. V. A. Vassiliev, “Braid group cohomologies and algorithm complexity”, Funct. Anal. Appl., 22:3 (1988), 182–190  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 6)

74. 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  mathnet  crossref  mathscinet  zmath  scopus (cited: 6)

75. 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  mathnet  mathscinet

76. 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  mathnet

77. V. A. Vassiliev, I. M. Gel'fand, A. V. Zelevinskii, “General hypergeometric functions on complex Grassmannians”, Funct. Anal. Appl., 21:1 (1987), 19–31  mathnet  crossref  mathscinet  zmath  isi (cited: 12)  scopus (cited: 28)
78. V. A. Vassiliev, “Stable cohomologies of complements to discriminant manifolds of singularities of holomorphic functions”, Russian Math. Surveys, 42:2 (1987), 307–308  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus (cited: 1)

79. V. A. Vasilev, I. M. Gelfand, A. V. Zelevinskii, “Povedenie obschikh gipergeometricheskikh funktsii v kompleksnoi oblasti”, Dokl. AN SSSR, 290:2 (1986), 277–281  mathnet (cited: 7)  mathscinet (cited: 1)

80. V. A. Vassiliev, “Sharpness and the local Petrovskii condition for strictly hyperbolic operators with constant coefficients”, Math. USSR-Izv., 28:2 (1987), 233–273  mathnet  crossref  mathscinet  zmath  scopus (cited: 6)

81. 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  mathnet  mathscinet

82. V. A. Vassiliev, “Self-intersections of wave fronts and Legendre (Lagrangian) characteristic numbers”, Funct. Anal. Appl., 16:2 (1982), 131–133  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 4)

83. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)

84. V. A. Vassiliev, “Asymptotic behavior of exponential integrals in the complex domain”, Funct. Anal. Appl., 13:4 (1979), 239–247  mathnet  crossref  mathscinet  zmath  scopus (cited: 11)

85. 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  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)

86. V. A. Vassiliev, “Asymptotic exponential integrals, Newton's diagram, and the classification of minimal points”, Funct. Anal. Appl., 11:3 (1977), 163–172  mathnet  crossref  mathscinet  zmath  scopus (cited: 20)


87. V. A. Vassiliev, Applied Picard–Lefschetz theory, Math. Surveys Monogr., 97, Amer. Math. Soc., Providence, RI, 2002 , xii+324 pp.  crossref  mathscinet (cited: 3)  zmath

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

90. V. I. Arnold, V. V. Goryunov, O. V. Lyashko, V. A. Vasil'ev, Singularity theory. I, Springer-Verlag, Berlin, 1998 , iv+245 pp.  mathscinet (cited: 68)  zmath

91. V. A. Vassiliev, Introduction to topology, Stud. Math. Libr., 14, Amer. Math. Soc., Providence, RI, 2001 , xiv+149 pp.  crossref  mathscinet (cited: 5)  mathscinet (cited: 5)  zmath

92. V. A. Vasilev, Topologiya dopolnenii k diskriminantam, Biblioteka matematika, 3, FAZIS, M., 1997 , xiv+536 pp.  mathscinet (cited: 17)

93. V. A. Vassiliev, Ramified integrals, singularities and lacunas, Math. Appl., 315, Kluwer Acad. Publ., Dorderecht, 1995 , xviii+289 pp.  mathscinet (cited: 9)  zmath

94. 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.  zmath  adsnasa

95. 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.  mathscinet (cited: 145); Second extended edition, 1994

96. 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.  mathscinet (cited: 28)  zmath; Second revised edition, 1993 , x+267 pp.


97. 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

98. 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  mathnet (cited: 24)


99. V. A. Vasilev, Kogomologii prostranstv uzlov, Preprint IPM AN SSSR, № 91, IPM AN SSSR, Moskva, 1990 , 29 pp.  mathscinet
100. V. A. Vasilev, Gomologicheskie invarianty uzlov: algoritmy i vychisleniya, Preprint IPM AN SSSR, № 90, 1990 , 23 pp.  mathscinet (cited: 2)


101. V. A. Vasilev, Geometriya diskriminanta, MTsNMO, Moskva, 2017 , 16 pp. http://www.mccme.ru/free-books/mmmf-lectures/book.41.pdf

102. V. A. Vasilev, Topologiya dlya mladshekursnikov, MTsNMO, M., 2014 , 160 pp. http://biblio.mccme.ru/node/4822

103. 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.

104. V. A. Vasilev, “Samyi luchshii IQ-test”, Kompyuterra, 2008, no. 21(737), 16–20 http://www.mccme.ru/edu/vassiliev/KT-737.pdf

105. “Invisible member of the Russian education”, 2007

106. “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
107. “On the program of PhD exams on history and philosophy of science”, Vestnik of the Samara State University, 2006, no. 2(42), 247–251

Information matherials

108. 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  mathnet


109. 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  mathnet

110. 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  crossref  isi

111. 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  mathnet  mathscinet  isi

112. 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  mathnet  mathscinet  isi

113. V. A. Vasilev, “Pamyati Andreya Zelevinskogo”, Troitskii variant, 2013, no. 8(127) (23.04.2013), 14 http://trv-science.ru/127N.pdf

114. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
115. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

116. V. A. Vasilev, “Dzhon Milnor, svetlyi i moschnyi talant”, Troitskii variant, 2011, no. 75, 8  zmath

117. 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  mathnet
118. 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  mathnet  mathscinet (cited: 1)

119. 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  mathnet  mathscinet  isi (cited: 18)

120. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

121. 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  mathnet
122. 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  mathnet  mathscinet (cited: 2)
123. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
124. 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  mathnet  crossref  mathscinet  zmath  elib  scopus

125. 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  mathnet
126. Yu. S. Ilyashenko, I. M. Krichever, S. P. Novikov, M. A. Tsfasman, V. A. Vassiliev, “Victor Buchstaber”, Mosc. Math. J., 3:1 (2003), 257  mathnet  mathscinet
127. 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  mathnet  mathscinet

128. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi

Critic, bibliography

129. V. A. Vasilev, 150 retsenzii na shkolnye uchebniki po matematike, http://www.mi.ras.ru/ṽva/, 2011


130. M. Pirogovskaya, S. Popov, S. Kleiner, V. Vasilev, Teologiya, nauchnost, lichnyi opyt uchenogo: diskussiya Indicator.Ru, Teologiya, nauchnost, lichnyi opyt uchenogo: Diskussiya na portale Indicator.Ru, 2017 https://indicator.ru/article/2017/06/13/dissertaciya-po-teologii/
131. V. Vasilev, Khirsh s pravom soveschatelnogo golosa: naukometriya v matematike, 2017 https://indicator.ru/article/2017/01/09/s-pravom-soveshchatelnogo-golosa/
132. 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/

133. 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, BerlinHeidelberg, 2016 , XIV+509 pp. http://www.springer.com/series/8602
134. N. Demina, V. Vasilev, Khirshemaniya i khirshefobiya, “Troitskii variant” 24 (218), s. 6, 2016 http://trv-science.ru/uploads/218N.pdf
135. 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

136. 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

137. 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  elib

138. V. A. Vasilev, “Bez samoobrazovaniya - nikak”, Troitskii variant, 2013, no. 22(141) (5.11.2013), 8 http://trv-science.ru/141N.pdf
139. V. A. Vasilev, “Finalnyi variant tumanen”, Troitskii variant, 2013, no. 21(140) (22.10.2013), 2 http://trv-science.ru/140N.pdf
140. 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/
141. V. A. Vasilev, “RAN: reforma protiv evolyutsii”, Polit.ru (30.07.2013), 2013 http://polit.ru/article/2013/07/30/vassiliev_about_ras/
142. 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.
143. 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
144. V. A. Vasilev, “Nauka i psevdonauka (forum)”, Antropologicheskii forum, 2013, no. 18, 33–36 http://anthropologie.kunstkamera.ru/06/2013_18/

145. V. A. Vasilev, “Boloto egalitarizma”, Troitskii variant, 2012, no. 3(97), 6 http://trv-science.ru/2012/02/14/boloto-ehgalitarizma/#more-14341
146. V. A. Vasilev, “Allo, my ischem talanty?”, Troitskii variant, 2012, no. 5(99), 1–2  zmath
147. 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/
148. 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/  zmath
149. 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/

150. 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
151. V. A. Vasilev, “Tryuki so standartom”, Nauka v fokuse, 2011, no. 001 (Sentyabr 2011), 28
152. V. A. Vasilev, “Otkaz ot fundamentalnosti delaet «kompetentsii» zavedomoi fiktsiei”, Troitskii variant, 2011, no. 85 (16.08.2011), 6–7

153. 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

154. 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  zmath  elib (cited: 3)
155. V. A. Vasilev, “Pochemu u matematiki ne poluchaetsya”, Novaya gazeta, 2009, no. 88 (14.08.2009) http://novayagazeta.ru/data/2009/088/13.html
156. A. Némethi, D. van Straten, V. A. Vassiliev, “Introduction by the Organisers of the workshop “Singularities””, Oberwolfach Reports, 6:3 (2009), 2405–2406  mathscinet

157. V. A. Vasilev, “Prodolzhenie razgovora ob ekspertize uchebnikov”, Matematika (matematicheskaya seriya gazety «Pervoe Sentyabrya»), 2008, no. 4, 4–6

158. V. A. Vasilev, “Matematiki RAN o shkolnykh uchebnikakh po matematike”, Matematika (matematicheskaya seriya gazety «Pervoe Sentyabrya»), 2007, no. 1, 3–6  zmath

159. J. Steenbrink, D. van Straten, V. Vassiliev, “Introduction by the Organisers of the workshop “Singularities””, Oberwolfach Reports, 3:3 (2006), 2505–2506  crossref  mathscinet (cited: 1)

160. V. A. Vassiliev, “Role of mathematics, as they think of it”, Notices of the AMS, 51:8 (2004), 870–871

161. V. Vasilev, V. Ginzburg, A. Kirillov, Nasha nauka sposobna k samovozrozhdeniyu, “Izvestiya” # 128, 10 iyulya 1993 g., s. 8., 1993

Letters, errata

162. V. I. Arnol'd, V. A. Vasil'ev, “Addendum to: “Newton's Principia read 300 years later””, Notices Amer. Math. Soc., 37:2 (1990), 144  mathscinet (cited: 10)  zmath
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