Persons: Krichever, Igor Moiseevich

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Krichever, Igor Moiseevich
(1950–2022)

Total publications:	104 (92)
in MathSciNet:	86 (78)
in zbMATH:	75 (69)
in Web of Science:	49 (43)
in Scopus:	17 (17)
Cited articles:	73
Citations:	4003
Presentations:	44

Number of views:
This page:	18238
Abstract pages:	70367
Full texts:	24818
References:	5151

Professor

Doctor of physico-mathematical sciences

Birth date:

8.10.1950

Subject:

Algebraic Geometry, Integrable Systems.

Igor' Moiseevich Krichever (on his 70th birthday), Russian Math. Surveys, 76:4 (2021), 733–743

https://www.mathnet.ru/eng/person9028

https://ru.wikipedia.org/wiki/%D0%9A%D1%80%D0%B8%D1%87%D0%B5%D0%B2%D0%B5%D1%80,_%D0%98%D0%B3%D0%BE%D1%80%D1%8C_%D0%9C%D0%BE%D0%B8%D1%81%D0%B5%D0%B5%D0%B2%D0%B8%D1%87

https://scholar.google.com/citations?user=uLThap0AAAAJ&hl=en

https://zbmath.org/authors/ai:krichever.igor-moiseevich

https://mathscinet.ams.org/mathscinet/MRAuthorID/307898

https://elibrary.ru/author_items.asp?authorid=627646

https://orcid.org/0000-0002-7173-6272

https://www.webofscience.com/wos/author/record/AAJ-8553-2021

https://www.scopus.com/authid/detail.url?authorId=6603725451

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

Full list of publications:

scientific publications

by years

by types

by times cited

common list

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


2024
1.	I. M. Krichever, L. A. Takhtadzhyan, “Algebraic de Rham theorem and Baker–Akhiezer function”, Izv. Math., 88:3 (2024), 506–514

2023
2.	I. Krichever, A. Zabrodin, “Monodromy free linear equations and many-body systems”, Lett. Math. Phys., 113 (2023), 75 , 36 pp. ;

2022
3.	Igor Krichever, Nikita Nekrasov, “Novikov–Veselov Symmetries of the Two-Dimensional $O(N)$ Sigma Model”, SIGMA, 18 (2022), 6 , 37 pp., arXiv: 2106.14201 ;

2020
4.	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
5.	I. M. Krichever, A. V. Iljina, N. A. Nekrasov, Funktsional. Anal. i Prilozhen.

2019
6.	S. Grushevsky, I. M. Krichever, Ch. Norton, “Real-normalized differentials: limits on stable curves”, Russian Math. Surveys, 74:2 (2019), 265–324
7.	I. Krichever, A. Varchenko, Incarnations of $XXX$ $\widehat{\frak{sl}_N}$ Bethe ansatz equations and integrable hierarchies, 2019, 57 pp., arXiv: 1907.12198

2018
8.	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
9.	A. V. Il'ina, I. M. Krichever, “Triangular Reductions of the $2D$ Toda Hierarchy”, Funct. Anal. Appl., 51:1 (2017), 48–65
10.	I. Ya. Aref'eva, V. E. Zakharov, V. V. Kozlov, I. M. Krichever, V. P. Maslov, S. P. Novikov, A. M. Polyakov, N. Yu. Reshetikhin, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, L. A. Takhtajan, S. L. Shatashvili, “Ludwig Dmitrievich Faddeev (obituary)”, Russian Math. Surveys, 72:6 (2017), 1157–1163

2016
11.	V. E. Adler, Yu. Yu. Berest, V. M. Buchstaber, P. G. Grinevich, B. A. Dubrovin, I. M. Krichever, S. P. Novikov, A. N. Sergeev, M. V. Feigin, J. Felder, E. V. Ferapontov, O. A. Chalykh, P. I. Etingof, “Alexander Petrovich Veselov (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1159–1176

2015
12.	I. M. Krichever, “Commuting Difference Operators and the Combinatorial Gale Transform”, Funct. Anal. Appl., 49:3 (2015), 175–188
13.	I. Krichever, “Real-normalized differentials and the elliptic Calogero-Moser system”, Complex geometry and dynamics, Abel Symp., 10, Springer, Cham, 2015, 123–137	5 ^[x]

2013
14.	A. M. Vershik, A. P. Veselov, A. A. Gaifullin, B. A. Dubrovin, A. B. Zhizhchenko, I. M. Krichever, A. A. Mal'tsev, D. V. Millionshchikov, S. P. Novikov, T. E. Panov, A. G. Sergeev, I. A. Taimanov, “Viktor Matveevich Buchstaber (on his 70th birthday)”, Russian Math. Surveys, 68:3 (2013), 581–590

2012
15.	I. M. Krichever, “Real Normalized Differentials and Arbarello's Conjecture”, Funct. Anal. Appl., 46:2 (2012), 110–120

2010
16.	S. Grushevsky, I. Krichever, “Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants”, Duke Math. J., 152:2 (2010), 317–371	14 ^[x]

2009
17.	S. Grushevsky, I. Krichever, “The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces”, Geometry of Riemann surfaces and their moduli spaces, Surv. Differ. Geom., 14, Int. Press, Somerville, MA, 2009, 111–129	18 ^[x]
18.	V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, A. Kirillov, I. Krichever, S. Natanzon, S. Novikov, A. Sergeev, A. Sossinsky, M. Tsfasman, “Oleg Sheinman”, Mosc. Math. J., 9:3 (2009), 723–724

2008
19.	I. M. Krichever, “Abelian solutions of the soliton equations and Riemann–Schottky problems”, Russian Math. Surveys, 63:6 (2008), 1011–1022

2007
20.	I. M. Krichever, O. K. Sheinman, “Lax Operator Algebras”, Funct. Anal. Appl., 41:4 (2007), 284–294

2006
21.	V. M. Buchstaber, I. M. Krichever, “Integrable equations, addition theorems, and the Riemann–Schottky problem”, Russian Math. Surveys, 61:1 (2006), 19–78

2004
22.	I. M. Krichever, “Analytic theory of difference equations with rational and elliptic coefficients and the Riemann–Hilbert problem”, Russian Math. Surveys, 59:6 (2004), 1117–1154
23.	I. Krichever, “Integrable chains on algebraic curves”, Geometry, Topology, and Mathematical Physics, Amer. Math. Soc. Transl. Ser. 2, 212, eds. V.M. Buchstaber, I.M. Krichever, AMS, 2004, 219–236; 2003, arXiv: hep-th/0309255

2003
24.	I. M. Krichever, S. P. Novikov, “Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic bundles”, Russian Math. Surveys, 58:3 (2003), 473–510
25.	V. M. Buchstaber, Yu. S. Ilyashenko, I. M. Krichever, O. K. Sheinman, A. B. Sossinski, M. A. Tsfasman, “Sergey Petrovich Novikov”, Mosc. Math. J., 3:4 (2003), 1206–1208
26.	Yu. S. Ilyashenko, I. M. Krichever, S. P. Novikov, M. A. Tsfasman, V. A. Vassiliev, “Victor Buchstaber”, Mosc. Math. J., 3:1 (2003), 257
27.	A. A. Bolibrukh, A. P. Veselov, A. B. Zhizhchenko, I. M. Krichever, A. A. Mal'tsev, S. P. Novikov, T. E. Panov, Yu. M. Smirnov, “Viktor Matveevich Buchstaber (on his 60th birthday)”, Russian Math. Surveys, 58:3 (2003), 627–635

2002
28.	A. A. Akhmetshin, Yu. S. Vol'vovskii, I. M. Krichever, “Elliptic Families of Solutions of the Kadomtsev–Petviashvili Equation and the Field Elliptic Calogero–Moser System”, Funct. Anal. Appl., 36:4 (2002), 253–266
29.	I. M. Krichever, “Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations”, Mosc. Math. J., 2:4 (2002), 717–752	45 ^[x]
30.	I. Krichever, “Vector bundles and Lax equations on algebraic curves”, Comm. Math. Phys., 229:2 (2002), 229–269 ; (2001), 42 pp., arXiv: hep-th/0108110	68 ^[x]
31.	I. Krichever, K. Vaninsky, “The periodic and open Toda lattice”, Mirror Symmetry IV, AMS/IP Studies in Advanced Mathematics, 33, eds. Eric D'Hoker et al., 2002, 139–158; 2000, arXiv: hep-th/0010184

2000
32.	I. M. Krichever, S. P. Novikov, “Holomorphic bundles and commuting difference operators. Two-point constructions”, Russian Math. Surveys, 55:3 (2000), 586–588
33.	I. M. Krichever, S. P. Novikov, “Holomorphic bundles and scalar difference operators: one-point constructions”, Russian Math. Surveys, 55:1 (2000), 180–181
34.	I. Krichever, “Elliptic analog of the Toda lattice”, Int. Math. Res. Notices, 2000:8 (2000), 383–412	22 ^[x]

1999
35.	I. M. Krichever, S. P. Novikov, “Trivalent graphs and solitons”, Russian Math. Surveys, 54:6 (1999), 1248–1249
36.	A. A. Akhmetshin, Yu. S. Vol'vovskii, I. M. Krichever, “A generating formula for solutions of the associativity equations”, Russian Math. Surveys, 54:2 (1999), 427–429
37.	A. A. Akhmetshin, Yu. S. Vol'vovskii, I. M. Krichever, “Discrete Analogs of the Darboux–Egorov Metrics”, Proc. Steklov Inst. Math., 225 (1999), 16–39
38.	I. Krichever, A. Zabrodin, “Vacuum curves of elliptic L-operators and representations of Sklyanin algebra”, Translations of American Mathematical Society, Advances in the Mathematical Sciences, Series 2, 191, eds. A. Yu. Morozov, M. A. Olshanetsky, Providence, Rhode Island, 1999, 199–222; 1998, arXiv: solv-int/9801022

1998
39.	I. Krichever, P. Wiegmann, A. Zabrodin, “Elliptic solutions to difference non-linear equations and related many-body problems”, Commun. Math. Phys., 193:2 (1998), 373–396	40 ^[x]

1997
40.	I. M. Krichever, “Algebraic-Geometric $n$-Orthogonal Curvilinear Coordinate Systems and Solutions of the Associativity Equations”, Funct. Anal. Appl., 31:1 (1997), 25–39
41.	I. M. Krichever, D. H. Phong, “On the integrable geometry of soliton equations and $N=2$ supersymmetric gauge theories”, J. Differential Geom., 45:2 (1997), 349–389 ; (1996), 38 pp., arXiv: hep-th/9604199	69 ^[x]
42.	I. Krichever, O. Lipan, P. Wiegmann, A. Zabrodin, “Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations”, Low-Dimensional Applications of Quantum Field Theory, NATO ASI Series, 361, Springer, Boston, 1997, 279–317	4 ^[x]
43.	I. Krichever, O. Lipan, P. Wiegmann, A. Zabrodin, “Quantum integrable models and discrete classical Hirota equations”, Commun. Math. Phys., 188:2 (1997), 267–304	187 ^[x]

1995
44.	I. M. Krichever, “General Rational Reductions of the KP Hierarchy and Their Symmetries”, Funct. Anal. Appl., 29:2 (1995), 75–80
45.	I. M. Krichever, A. V. Zabrodin, “Spin generalization of the Ruijsenaars–Schneider model, the non-Abelian Toda chain, and representations of the Sklyanin algebra”, Russian Math. Surveys, 50:6 (1995), 1101–1150
46.	A. Gorsky, I. Krichever, A. Marshakov, A. Mironov, A. Morozov, “Integrability and Seiberg–Witten exact solution”, Phys. Lett. B, 355:3-4 (1995), 466–474	391 ^[x]
47.	I. Krichever, O. Babelon, E. Billey, M. Talon, “Spin generalization of the Calogero-Moser system and the matrix KP equation”, Amer. Math. Soc. Transl. Ser. 2, 170 (1995), 83–119; (1994), arXiv: hep-th/9411160

1994
48.	I. M. Krichever, “Two-Dimensional Algebraic-Geometric Operators with Self-Consistent Potentials”, Funct. Anal. Appl., 28:1 (1994), 21–32
49.	I. M. Krichever, “The $\tau$-function of the universal Whitham hierarchy, matrix models and topological field theories”, Comm. Pure Appl. Math., 47:4 (1994), 437–475 ; (1992), 34 pp., arXiv: hep-th/9205110	320 ^[x]

1993
50.	V. M. Buchstaber, I. M. Krichever, “Vector addition theorems and Baker–Akhiezer functions”, Theoret. and Math. Phys., 94:2 (1993), 142–149

1991
51.	S. Yu. Dobrokhotov, I. M. Krichever, “Multi-phase solutions of the Benjamin–Ono equation and their averaging”, Math. Notes, 49:6 (1991), 583–594

1990
52.	I. M. Krichever, “Generalized elliptic genera and Baker–Akhiezer functions”, Math. Notes, 47:2 (1990), 132–142

1989
53.	I. M. Krichever, S. P. Novikov, “Algebras of virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces”, Funct. Anal. Appl., 23:1 (1989), 19–33
54.	I. M. Krichever, “Spectral theory of two-dimensional periodic operators and its applications”, Russian Math. Surveys, 44:2 (1989), 145–225

1988
55.	I. M. Krichever, “Method of averaging for two-dimensional “integrable” equations”, Funct. Anal. Appl., 22:3 (1988), 200–213
56.	I. M. Krichever, “A periodic problem for the Kadomtsev–Petviashvili equation”, Dokl. Math., 37:1 (1988), 157–161
57.	I. E. Dzyaloshinskii, I. M. Krichever, Ya. Khronek, “Novyi metod nakhozhdeniya dinamicheskikh reshenii v modeli Paierlsa”, ZhETF, 94:7 (1988), 344–354
58.	B.A. Dubrovin, I.M. Krichever, T.M. Malanyuk, V.G. Makhankov, “Tochnye resheniya nestatsionarnogo uravneniya Shredingera s samosoglasovannymi potentsialami”, Fizika element. chastits i atom. yadra, 19:3 (1988), 579–621

1987
59.	I. M. Krichever, S. P. Novikov, “Virasoro-type algebras, Riemann surfaces and strings in Minkowsky space”, Funct. Anal. Appl., 21:4 (1987), 294–307
60.	I. M. Krichever, S. P. Novikov, “Algebras of virasoro type, riemann surfaces and structures of the theory of solitons”, Funct. Anal. Appl., 21:2 (1987), 126–142
61.	V. V. Avilov, I. M. Krichever, S. P. Novikov, “Evolution of the Whitham zone in the Korteweg–de Vries theory”, Dokl. Akad. Nauk SSSR, 295:2 (1987), 345–349

1986
62.	I. M. Krichever, “Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model”, Funct. Anal. Appl., 20:3 (1986), 203–214
63.	V. M. Eleonskii, I. M. Krichever, N. E. Kulagin, “Rational multisoliton solutions of the nonlinear Schrödinger equation”, Dokl. Akad. Nauk SSSR, 287:3 (1986), 606–610

1985
64.	B. A. Dubrovin, I. M. Krichever, S. P. Novikov, “Integrable systems. I”, Dynamical systems – 4, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 4, VINITI, Moscow, 1985, 179–277
65.	I. M. Krichever, “Two-dimensional periodic difference operators and algebraic geometry”, Dokl. Akad. Nauk SSSR, 285:1 (1985), 31–36

1984
66.	I. M. Krichever, “The laplace method, algebraic curves, and nonlinear equations”, Funct. Anal. Appl., 18:3 (1984), 210–223

1985
67.	I. M. Krichever, “Nonlinear equations and elliptic curves”, J. Soviet Math., 28:1 (1985), 51–90

1983
68.	I. M. Krichever, ““Hessians” of integrals of the Korteweg–de Vries equation and perturbations of finite-zone solutions”, Dokl. Akad. Nauk SSSR, 270:6 (1983), 1312–1317
69.	I.E. Dzyaloshinskii, I.M. Krichever, “Sound and charge-density wave in the discrete Peierls model”, Sov. Phys. JETP, 58:5 (1983), 1031–1040

1982
70.	I. M. Krichever, “The Peierls model”, Funct. Anal. Appl., 16:4 (1982), 248–263
71.	I. M. Krichever, “Algebro-geometric spectral theory of the Schrödinger difference operator and the Peierls model”, Dokl. Akad. Nauk SSSR, 265:5 (1982), 1054–1058
72.	S.A. Brazovskii, N.E. Dzyaloshinskii, I.M. Krichever, “Discrete Peierls models with exact solutions”, Sov. Phys. JETP, 56:1 (1982), 212–225
73.	I.E. Dzyaloshinskii, I.M. Krichever, “Commensurability effects in the discrete Peierls model”, Sov. Phys. JETP, 56:4 (1982), 908–913
74.	S.A. Brazovskii, I.E. Dzyaloshinskii, I.M. Krichever, “Exactly soluble Peierls models”, Phys. Lett. A, 91:1 (1982), 40–42
75.	G. Fichera, Yu. M. Sukhov, N. P. Klepikov, I. M. Krichever, N. F. Morozov, S. I. Pokhozhaev, V. E. Zakharov, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 37:2(224) (1982), 255–262

1981
76.	I. M. Krichever, “Baxter's equations and algebraic geometry”, Funct. Anal. Appl., 15:2 (1981), 92–103
77.	I.M. Krichever, “The periodic non-Abelian Toda chain and its two-dimensional generalization”, Appendix to the paper B A Dubrovin «Theta functions and non-linear equations», Russ. Math. Surv., 1981, 36, 11–92, Russian Math. Surveys, 36:2 (1981), 11–92

1980
78.	I. M. Krichever, “Elliptic solutions of the Kadomtsev–Petviashvili equation and integrable systems of particles”, Funct. Anal. Appl., 14:4 (1980), 282–290
79.	I. M. Krichever, “Self-similar solutions of equations of Korteweg -de Vries type”, Funct. Anal. Appl., 14:3 (1980), 234–236
80.	I. M. Krichever, S. P. Novikov, “Holomorphic bundles over algebraic curves and non-linear equations”, Russian Math. Surveys, 35:6 (1980), 53–79
81.	I. M. Krichever, “An analogue of d'Alembert's formula for the equations of the principal chiral field and for the Sine-Gordon equation”, Sov. Math., Dokl., 22 (1980), 79–84

1979
82.	I. M. Krichever, “Rational solutions of the duality equations for Yang–Mills fields”, Funct. Anal. Appl., 13:4 (1979), 303–305

1983
83.	I. M. Krichever, “On the rational solutions of Zakharov–Shabat equations and completely integrable systems of $N$ particles on a line”, J. Soviet Math., 21:3 (1983), 335–345

1979
84.	I. M. Krichever, S. P. Novikov, “Holomorphic fiberings and nonlinear equations. Finite zone solutions of rank 2”, Dokl. Akad. Nauk SSSR, 247:1 (1979), 33–37

1978
85.	I. M. Krichever, S. P. Novikov, “Holomorphic bundles over Riemann surfaces and the Kadomtsev–Petviashvili equation. I”, Funct. Anal. Appl., 12:4 (1978), 276–286
86.	I. M. Krichever, “Commutative rings of ordinary linear differential operators”, Funct. Anal. Appl., 12:3 (1978), 175–185
87.	I. M. Krichever, “Rational solutions of the Kadomtsev–Petviashvili equation and integrable systems of $N$ particles on a line”, Funct. Anal. Appl., 12:1 (1978), 59–61
88.	I. M. Krichever, “Algebraic curves and non-linear difference equations”, Russian Math. Surveys, 33:4 (1978), 255–256
89.	Yu. I. Manin, I. M. Krichever, S. P. Novikov, Ya. I. Belopol'skaya, Yu. L. Daletskii, O. I. Bogoyavlenskii, F. A. Berezin, E. S. Fradkin, E. A. Novikov, Yu. B. Sedov, A. E. Ordanovich, R. Finn, S. I. Andersson, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 33:5(203) (1978), 209–217
90.	V. I. Arnol'd, A. L. Gol'denveizer, V. B. Lidskii, I. M. Krichever, A. N. Varchenko, R. L. Dobrushin, A. A. Barmin, S. V. Manakov, V. A. Malyshev, R. A. Minlos, L. D. Faddeev, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 33:2(200) (1978), 225–231

1977
91.	I. M. Krichever, “Integration of nonlinear equations by the methods of algebraic geometry”, Funct. Anal. Appl., 11:1 (1977), 12–26
92.	I. M. Krichever, “Methods of algebraic geometry in the theory of non-linear equations”, Russian Math. Surveys, 32:6 (1977), 185–213

1976
93.	I. M. Krichever, “Algebraic curves and commuting matricial differential operators”, Funct. Anal. Appl., 10:2 (1976), 144–146
94.	I. M. Krichever, “Obstructions to the existence of $S^1$-actions. Bordism of ramified coverings”, Math. USSR-Izv., 10:4 (1976), 783–797
95.	I. M. Krichever, “Algebraic-geometric construction of the Zakharov–Shabat equations and their periodic solutions”, Dokl. Akad. Nauk SSSR, 227:2 (1976), 291–294
96.	B. A. Dubrovin, I. M. Krichever, S. P. Novikov, “The Schrödinger equation in a periodic field and Riemann surfaces”, Dokl. Akad. Nauk SSSR, 229:1 (1976), 15–18

1975
97.	I. M. Krichever, “Potentials with zero coefficient of reflection on a background of finite-zone potentials”, Funct. Anal. Appl., 9:2 (1975), 161–163
98.	I. M. Krichever, “Equivariant Hirzebruch genera. The Atiyah–Hirzebruch formula”, Uspekhi Mat. Nauk, 30:1(181) (1975), 243–244

1974
99.	I. M. Krichever, “Formal groups and the Atiyah–Hirzebruch formula”, Math. USSR-Izv., 8:6 (1974), 1271–1285
100.	I. M. Krichever, “Remark on the paper “Actions of finite cyclic groups on quasicomplex manifolds””, Math. USSR-Sb., 24:1 (1974), 145–146

1973
101.	I. M. Krichever, “The invariance of characteristic classes for manifolds of the homotopy type of CP^n$”, Uspekhi Mat. Nauk, 28:5(173) (1973), 245–246
102.	S. M. Gusein-Zade, I. M. Krichever, “Formulae for the fixed points of an action of the group $Z_p$”, Uspekhi Mat. Nauk, 28:1(169) (1973), 237–238
103.	I. M. Krichever, “Actions of finite cyclic groups on quasicomplex manifolds”, Math. USSR-Sb., 19:2 (1973), 305–319

1971
104.	I. M. Krichever, “Bordisms of groups acting freely on spheres”, Uspekhi Mat. Nauk, 26:6(162) (1971), 245–246

Presentations in Math-Net.Ru

1.	Monodromy free linear equations and Abelian pole systems I. M. Krichever International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov June 3, 2022 17:30
2.	Иерархия Новикова-Веселова как симметрии двумерной $O(N)$ сигма модели. I. M. Krichever Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) December 22, 2021 14:00
3.	Characterization of Jacobians of curves with involution I. M. Krichever Steklov Mathematical Institute Seminar October 21, 2021 16:00
4.	Спектральные преобразования в теории солитонов. Семинар И. М. Кричевер Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021 July 21, 2021 09:30
5.	Спектральные преобразования в теории солитонов. Лекция I. M. Krichever Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021 July 20, 2021 09:30
6.	Геометрия пространств модулей кривых I. M. Krichever The 8th Summer School-Conference on Geometrical Methods in Mathematical Physics June 30, 2021 15:00
7.	Generalized amoebas of the second kind I. M. Krichever Multidimensional Residues and Tropical Geometry June 14, 2021 12:00
8.	Conformal harmonic maps of two-torus to spheres and turning point of elliptic Calogero–Moser system I. M. Krichever International conference in memory of M. K. Polivanov "Polivanov–90" December 17, 2020 17:00
9.	Harmonic maps of two-torus to spheres and turning point of elliptic Calogero–Moser system I. M. Krichever SIMC Open December 23, 2019 15:00
10.	Characterizing Jacobians via trisecants of the Kummer Variety I. M. Krichever November 1, 2019 17:00
11.	Critical points of Master functions and the Calogero-Moser system I. Krichever International conference «Integrable systems and applications» in honour of M. A. Olshanetsky 80-th birthday December 11, 2018 13:00
12.	Полевые аналоги систем Хитчина I. M. Krichever Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) July 11, 2018 14:00
13.	Linear operators with self-consistent potential Igor M. Krichever International conference "Algebraic Topology, Combinatorics, and Mathematical Physics" on occasion of Victor Buchstaber's 75th birthday May 25, 2018 10:00
14.	Периодические решения нелинейных сигма-моделей I. M. Krichever Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) December 27, 2017 14:00
15.	Двумерные операторы Шредингера интегрируемые на сингулярном уровне энергии I. M. Krichever Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) August 9, 2017 14:00
16.	Конечнозонное интегрирование - 40 лет спустя I. M. Krichever Conference "Moscow Mathematical Society and Lomonosov Moscow State University" dedicated to the 150th anniversary of Moscow Mathematical Society December 24, 2014 10:00
17.	Pentagram map, Frieze patterns and commuting difference operators I. M. Krichever Dobrushin Mathematics Laboratory Seminar September 9, 2014 16:00
18.	Combinatorial Gale transform and commuting difference operators I. M. Krichever Algebraic Geometry and Number Theory June 23, 2014 16:30
19.	Degenerations of real normalized differentials I. M. Krichever Fourth international workshop "Combinatorics of Moduli Spaces, Cluster Algebras and Topological Recursion" May 29, 2014 10:00
20.	Analytic theory of difference equations with rational and elliptic coefficients I. M. Krichever Discrete and Computational Geometry February 25, 2014 13:00
21.	Спектральная теория периодических верхнетреугольных разностных операторов и ее приложения I. M. Krichever Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) January 15, 2014 14:00
22.	On Systems of Caloger-Moser Type I. M. Krichever Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models" December 12, 2013 15:00
23.	Вещественно-нормированные дифференциалы в задачах теории интегрируемых систем и алгебраической геометрии I. M. Krichever Meetings of the Moscow Mathematical Society November 19, 2013 18:30
24.	Полевые аналоги систем Хитчина I. M. Krichever Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin October 28, 2013 16:15
25.	Уравнения Уизема и геометрия пространств модулей кривых I. M. Krichever Globus Seminar October 24, 2013 15:40
26.	Real normalized differentials and their applications I. M. Krichever Complex analysis and mathematical physics October 7, 2013 16:00
27.	Amoeba, Ronkin functions and Monge–Ampere measures of algebraic curves with marked points Igor Krichever International conference "Algebraic Topology and Abelian Functions" in honour of Victor Buchstaber on occasion of his 70th birthday June 21, 2013 11:20
28.	Perelman's proof of the Poincaré Conjecture I. M. Krichever Sinai Seminar August 30, 2011 14:00
29.	Perelman's proof of the Poincaré Conjecture I. M. Krichever Sinai Seminar August 23, 2011 14:00
30.	Analytic theory of difference equations. Lecture 2 I. M. Krichever Summer School on Geometry and Mathematical Physics 2011 June 28, 2011 10:00
31.	Analytic theory of difference equations. Lecture 1 I. M. Krichever Summer School on Geometry and Mathematical Physics 2011 June 27, 2011 14:50
32.	Теория возмущений солитонных уравнений и их приложения I. M. Krichever Combinatorics of Vassiliev invariants June 21, 2011 15:30
33.	Характеризация якобианов (проблема Римана–Шоттки) и многообразия Прима через солитонные уравнения I. M. Krichever Combinatorics of Vassiliev invariants June 16, 2011 14:00
34.	Коммутирующие дифференциальные операторы и голоморфные векторные расслоения на спектральной кривой. Системы типа Хитчина I. M. Krichever Combinatorics of Vassiliev invariants June 14, 2011 15:30
35.	Гамильтонова теория солитонных уравнений I. M. Krichever Combinatorics of Vassiliev invariants June 9, 2011 14:00
36.	Алгебро-геометрическое интегрирование. Спектральные кривые. Функции Бейкера–Ахиезера. Тета-функциональные формулы I. M. Krichever Combinatorics of Vassiliev invariants June 7, 2011 15:30
37.	Солитонные уравнения (интегрируемые системы) I. M. Krichever Combinatorics of Vassiliev invariants June 2, 2011 14:00
38.	Algebraic geometry and nonlinear equations of mathematical physics I. M. Krichever Summer School "Contemporary Mathematics", 2010 July 20, 2010 15:30
39.	Система Калоджеро–Мозера и геометрия пространства модулей алгебраических кривых I. M. Krichever Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) July 14, 2010 14:00
40.	Уравнение Уизема и когомологии пространств модулей I. M. Krichever Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) August 26, 2009 14:00
41.	Abelian solutions of soliton equations and geometry of Abelian varieties I. M. Krichever Novikov Day (to the 70th birthday of academician S. P. Novikov) June 3, 2008 11:45
42.	Discrete analog of the Novikov–Veselov hierarchy I. M. Krichever Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) January 4, 2007
43.	Характеризация Якобианов и Приммианов на основе интегрируемых линейных уравнений I. M. Krichever Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) June 1, 2005
44.	Алгебро-геометрическая теория изоспектральных уравнений изомонодромии I. M. Krichever Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) October 27, 2004

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