Complete list of publications

1. A. Varchenko, Monodromy of Multiple Integrals Depending on Parameters, Funk. Analiz i ego Prilozh., 3:4 (1969), 79-80.

2. A. Varchenko, A Theorem on Equisingularity of Families of Algebraic Manifolds, Uspekhi Mat. Nauk 26:1 (1971), 217-218.

3. A. Varchenko, On the Germs of Analytic Maps with Finitely Determined Topological Type, Funkt. Analiz i ego Prilozh., 6:3 (1971), 63-64.

4. A. Varchenko, Theorems of Topological Equsingularity of Families of Algebraic Manifold and Polynomial Mappings, Izv. Acad. Sci. USSR 36 (1972), 957-1019.

5. A. Varchenko, On the Relation Between Topological and Algebro-Geometrical Equisingularities of Zarisky, Funkt. Analiz i ego Prilozh., 7:2 (1973), 1-5.

6. A. Varchenko, Local Topological Properties of Analytic Mappings, Izv. Acad. Sci. USSR 37:4 (1973), 883-916.

7. A. Varchenko, On the Germs of Smooth Maps with Finitely Determined Topological Type, Uspekhi Mat. Nauk 28:3 (1973),175-176.

8. A. Varchenko, Local Topological Properties of Smooth Maps, Izv. Acad. Sci. USSR 38 (1974), 1037-1090.

9. A. Varchenko, Versal Topological Deformations, Izv. Acad. Sci. USSR 39 (1975), 294-314.

10. A. Varchenko, Algebro-Geometrical Equisingularity and Local Topological Classification of Smooth Maps, Proc. Int. Cong. Math. Vancouver 1 (1975), 427-431.

11. A. Varchenko, Newton Polyhedra and Estimations of Oscillatory Integrals, Funkt. Analiz i ego Prilozh., 10:3 (1976), 13-38; Functional Analysis and its Applications (Eng. Transl. of FAP) 10 (1976), 175-196.

12. A. Varchenko, A Zeta-Function for Monodromy and Newton Diagrams, Invent. Math. 37 (1976), 253-262.

13. A. Varchenko, The Characteristic Polynomial of Monodromy Operator and Newton Diagram, Uspekhi Mat. Nauk 32:2 (1977), 63-64.

14. A. Varchenko, An Application of the Method of Stationary Phase to Limit Theorems for Markov Chains, Dokl, Akad. Nauk USSR 233 (1977), 11-14; Soviet Math. Doklady 18 (1977), 10-13.

15. A. Varchenko, The Integrality of the Limit of the Curvature Integral Over the Boundary of an Isolated Singularity of a Surface in \mathbb C3, Uspekhi Mat. Nauk 33:6 (1978), 199-200.

16. A. Varchenko, A Formular for the Ranks of the Homology Groups of the Boundary of an Isolated Singularity of a Surface in \mathbb C3 and the Newton Diagram, Funkt. Analiz i ego Prilozh., 13:1 (1979), 64-65; Functional Analysis and its Applications (Eng. Transl. of FAP) 13 (1979), 52-53.

17. A. Varchenko, Contact Structures and Isolated Singularities, Vestnik MGU Ser. Mat. 2 (1980), 18-21.

18. A. Varchenko, The Gauss-Manin Connection and the Bernstein Polynomial, Uspekhi Mat. Nauk 35:4 (1980), 153-154.

19. A. Varchenko, Hodge Properties of Gauss-Manin Connections, Funk. Analiz i ego Prilozh., 14:1 (1980), 46-47; Functional Analysis and its Applications (Eng. Transl. of FAP) 14 (1980), 34-35.

20. A. Varchenko, The Asymptotics of Holomorphic Forms Determine a Mixed Hodge Structure, Dokl. Acad. Nauk USSR 255 (1980), 1035-1038; Soviet Mathematics Doklady (Eng. Transl. of DAN) 22:5 (1980), 772-775.

21. A. Varchenko, Gauss-Manin Connection of Isolated Singular Point and Bernstein Polynomial, Bull. des Sciences Math. 2e Serie 104 (1980), 205-223.

22. A. Varchenko, Asymptotics of the Integrals of the Saddle Point Method, Uspekhi Matematicheskykh Nauk 36:4 (1981), 212-213.

23. A. Varchenko, On Obstructions to the Local Equivalence of Distributions, Mat. Zametki 29:6 (1981), 939-947; Math Notes 29:6 (1981), 121-128.

24. A. Varchenko, An Asymptotic Mixed Hodge Structure in Vanishing Cohomology, Izv. Acad. Sci. USSR, Ser. Mat. 45 (1981), 540-591.

25. A. Varchenko, The Monodromy Operator in Vanishing Cohomology and the Operator of Multiplication by f in the Local Ring, Doklady Akademii Nauk USSR 260 (1981), 272-276.

26. A. Varchenko, The Complex Index of a Singularity does not Change Along the Strata μ = const, Funk. Analiz i ego Prilozh., 16:1 (1981), 1-12; Functional Analysis and its Applications (Eng. Transl. of FAP) 16 (1981), 1-9.

27. A. Varchenko, On the Number of Integer Points in a Region, Uspekhi Mat. Nauk 37:3 (1982), 177-178; Russian Mathematics Surveys (Eng. Transl. of Uspekhi Mat. Nauk) 37:3 (1982), 223-224.

28. A. Givental and A. Varchenko, Period Maps and Intersection Form, Funk. Analiz i ego Prilozh., 16:1 (1982), 1-14; Functional Analysis and its Applications (Eng. Transl. of FAP) 16 (1982), 83-93.

29. A. Varchenko, An Estimate from Below of the Codimension of the Stratum μ=const by Mixed Hodge Structures, Vestnik MGU, Ser. Math. 6 (1982), 28-31.

30. A. Varchenko, The Spectrum and Decomposition of Critical Point of Function, Doklady Akademii Nauk USSR 270:2 (1983), 267-270.

31. A. Varchenko, Number of Lattice Points in Families of Homothetic Domains in \mathbbRn, Funk. Analiz i ego Prilozh., 17:2 (1983), 1-6; Func. Analysis and its Appl. (Eng. Transl. of FAP) 17 (1983), 79-83.

32. A. Varchenko, On the Semicontinuity of the Spectra and Estimates from above of the Number of Singular Points of a Projective Hypersurface, Doklady Akademii Nauk USSR 270:6 (1983), 1294-1297.

33. A. Varchenko, On the Semicontinuity of the Complex Singular Index, Funk. Analiz i ego Prilozh., 17:3 (1983), 77-78; Functional Analysis and its Applications (Eng. Transl. of FAP) 17 (1983), 307-309.

34. A. Varchenko, On the Change in Discrete Characteristics of Points of Function Under Deformations, Uspekhi Mat. Nauk 38:5 (1983), 126-127.

35. A. Kouchnirenko and A. Varchenko, Singularities of Differential Maps, in “Mathematical Encyclopedia,” Vol. 4, 1984, Moscow, pp. 125-131.

36. V. I. Arnol’d, A. Givental, A. Khovansky, and A. Varchenko, Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals, Mathematical Physics Reviews 4 (1984), 1-92.

37. V.I. Arnol’d, S.M. Gusein-Zade, and A.Varchenko, Singularities of Differential Maps, Vol. I,” Nauka, Moscow, 1982; also Birkhauser, 1985.

38. A. Varchenko, Weight Fibration of Discriminant, Uspekhi Mat. Nauk 40:5 (1985), 211.

39. A. Varchenko, Asymptotics of Integrals and Hodge Structures, in “Science Reviews: Current Problems in Mathematics, Vol. 22,” 1983, pp. 130-166; J. Sov. Math. (1984), Vol. 27.

40. A. Varchenko, Estimate of the Number of Zeros of Real Abelian Integral Depending on a Parameter and Limiting Cycles, Funk. Analiz i ego Prilozh., 18:2 (1984), 1-13; Func. Analysis and its Appl., (Eng. Transl. of FAP) 18 (1984), 98-108.

41. A. Varchenko, On Local Residue and Intersection Form in Vanishing Cohomologies, Izv. Akad. Nauk USSR, Seriya Mat., 48:5 (1984), 1010-1035.

42. S. Chmutov and A. Varchenko, Finite Irreducible Groups, Generated by Reflections are Monodromy Groups of Suitable Singularities, Funk. Analiz i ego Prilozh., 18:3 (1984), 1-14; Func. Analysis and its Appl., (Eng. Transl. of FAP) 18 (1984), 171-183.

43. S. Gusein-Zade and A. Varchenko, The Topology of Caustics, Wave Fronts and Degenerations of Critical Points, Uspekhi Mat. Nauk 39:2 (1984), 190-191; Russian Math. Surveys (Eng. Transl. of UMN) 39:2, (1984), 209-210.

44. A. Khovansky and A. Varchenko, Asymptotics of Integrals Over Vanishing Cycles and the Newton Polyhedron, Doklady Akademii Nauk USSR,” 283:3 (1985), 521-525; Soviet Math. Doklady (Eng. Transl. of DAN) 32 (1985), 122-127.

45. S. Chmutov and A. Varchenko, On the Tangent Cone to the Stratum μ=const, Vestnik MGU, Ser. Math. 1 (1985), 6-9.

46. A. Varchenko, Local Classification of Volume Forms in the Presence of a Hypersurface, Funk. Analiz i ego Prilozh., 19:4 (1985), 23-31; Func. Analysis and its Appl., (Eng. Transl. of FAP) 19 (1985), 269-276.

47. A. Varchenko, Geometry of Phase Transitions, Mechanics of Multicomponent Systems, (Moscow Institute of Gas and Oil) 200, (1986) 1498-1555.

48. A. Varchenko, Combinatorics and Topology of Configuration of Affine Hyperplanes in Real Space, Funk. Analiz i ego Prilozh., 21:1 (1987), 11-22.

49. I. M. Gelfand and A. Varchenko, On Heaviside Functions of Configuration of Hyperplane, Funk. Analiz i ego Prilozh., 21:4 (1987), 1-18.

50. A. Varchenko, On Normal Forms of Non-Smoothness of Solutions of Hyperbolic Equations, Izv. Akademii Nauk USSR, Seriya Mat. 51:4 (1987), 652-665.

51. A. Varchenko, The Image of the Period Map for Simple Singularities, in “Methods of Contemporary Functional Analysis in Geometry and Topology,” Voronezh State University 1987, pp. 47-60.

52. A. Varchenko, The Period Mapping and the Discriminant, Mat. Sbornik 134:1 (1987), 66-81.

53. V.I. Arnol’d, S. Gussein-Zade, and A. Varchenko, Singularities of Differential Maps, Vol. II,” Nauka, Moscow, 1984; Birkhauser, 1988.

54. D. Barlet and A. Varchenko, Around the Intersection Form of an Isolated Singularity of Hypersurface, Compositio Math. 67 (1988), 149-163; Uspekhi Matematicheskykh Nauk 43:3 (1988), 240-241.

55. A. Varchenko, On the Number of Facets of Configuration of Hyperplanes, Doklady Akademii Nauk USSR 302:3 (1988), 527-530.

56. A. Varchenko, Bifurcations of Convex Hulls and Phase Transitions in Thermodynamics, Science Reviews: Current Problems in Mathematics 33 (1988), 157-191.

57. A. Varchenko, Functional Equations for the Volume Mapping, Mat. Zametky 44:4 (1988), 417-427.

58. A. Kazarnovski and A.Varchenko, Phase Transitions of Multicomponent Systems, in “Filtration in Porous Medium,” Moscow Institute of Gas and Oil, 1988, pp. 86-101.

59. A. Varchenko, Multidimensional Vandermonde Determinant, Uspekhi Mat. Nauk 43:4 (1988), p. 190.

60. A. A. Beilinson, A. B. Goncharov, V. V. Schechtman, and A. Varchenko, Aomoto Dilogarithms, Mixed Hodge Structures and Motivic Cohomology of Pairs of Triangles on the Plane, in “The Grothendieck Festschrift,” Vol. I, Birkhauser, pp. 135-172, 1990.

61. V. Schechtman and A. Varchenko, Integral Representations of N-Point Conformal Correlators in the WZW Model, Bonn, Max-Planck Institute, 1989, pp. 1-22.

62. A. Varchenko, Beta-Function of Euler, Vandermonde Determinant, Legendre Equation and Critical Values of Linear Functions of Configuration of Hyperplanes, I. Izv. Akademii Nauk USSR, Seriya Mat., 53:6 (1989), 1206-1235.

63. A. Varchenko, Determinant of a Matrix of Multidimensional Hypergeometric Integrals, Doklady Akademii Nauk USSR 308, N4 (1989), 777-780.

64. A. Varchenko, Critical Values and Determinant of Periods, Uspekhi Mat. Nauk 44:4 (1989), 235-236.

65. A. Varchenko, Hodge Filtration of Hypergeometric Integrals Associated with an Affine Configuration of General Position and a Local Torelli Theorem, I. M. Gel’fand Seminar, 167–177, Adv. Soviet Math., 16, Part 2, Amer. Math. Soc., Providence, RI, 1993

66. A. Belinson, A. Goncharov, V. Schechtman, and A.Varchenko, Projective Geometry and K-theory, Algebra and Analysis 3 (1990), 78-130.

67. A. Varchenko, Period Mapping, in “Proceedings of the School on Operator Theory,” Kuybishev, 1989, pp. 5-15.

68. A. Varchenko, Beta-Function of Euler, Vandermonde Determinant, Legendre Equation and Critical Values of Linear Function on Configuration of Hyperplanes, II, Izv. Akademii Nauk USSR, Seriya Mat. 54:1 (1990), 146-158.

69. V. Schechtman and A. Varchenko, Hypergeometric Solutions of Kniznik – Zamolodchikov Equations, Letters in Math. Physics 20 (1990), 279-283.

70. B.A. Feigin, V.V. Schechtman, and A. Varchenko, On Algebraic Equations Satisfied by Correlators in WZW Models, Letters in Math. Physics 20 (1990), 291-297.

71. V. Schechtman and A. Varchenko, Arrangements of Hyperplanes and Lie Algebra Homology, Invent. Math. Vol. 106 (1991), 139-194.

72. V. Schechtman and A. Varchenko, Quantum Groups and Homology of Local Systems, ICM-90 Satellite Conf. Proc., Algebraic Geometry and Analytic Geometry, Springer Verlag, (1991), 182-197.

73. A. Varchenko, Determinant Formula for Selberg Integrals, Funct. Analysis and its Applications, 25 (1991), no. 4, 88-89.

74. A. Varchenko, Multidimensional Hypergeometric Functions in Conformal Field theory, Algebraic K-Theory, Algebraic Geometry, Proc. ICM-90, Vol. I, (1991) 281-300.

75. P. Etingof and A. Varchenko, Why the Boundary of a Round Drop Becomes a Curve of Order Four, University Lecture Series, V. 3, AMS, 1992.

76. B. Blok and A. Varchenko, Topological Conformal Field Theories and Flat Coordinates, Intern. Journal of Modern Physics A, Vol. 7 (1992) 1467-1490.

77. A. Zazovsky and A. Varchenko, Three-phase flow of immiscible fluids in porous medium, in Special Sections of Mechanics, Science Reviews, V. 4 (1992) 98-153 (in Russian).

78. A. Varchenko, Period Maps Connected with a Versal Deformation of a Critical Point of a Function, and the Discriminant, Amer. Math. Soc. Transl. (2) Vol. 153, (1992), pp 1-9.

79. A. Varchenko, Critical Values and Determinant of Periods, Upsekhi Mat. Nauk 44:4 (1989), 235-236.

80. A. Varchenko, Multidimensional Hypergeometric Functions and Representation Theory of Lie Algebras and Quantum Groups, Advanced Series in Mathematical Physics, Vol. 21, World Scientific, 1995.

81. A. Varchenko, A geometric approach to representation theory of quantum groups, 20th Int. Conf. on Diff. Geom. Meth. in Theor. Phys., World Sci, 1992, v.1, 152-175.

82. T. Brylawski and A. Varchenko, Determinant formula for a matroid bilinear form, Advaces in Math., Vol. 129, No. 1, 1-24 (1997).

83. B. Feigin, V. Schechtman, and A. Varchenko, On algebraic equations satisfied by hypergeometric correlators in WZW models. I, Comm. Math. Phys. 163, 173-184 (1994).

84. B. Feigin, V. Schechtman, and A. Varchenko, On algebraic equations satisfied by hypergeometric correlators in WZW models. II, Comm. In Math. Phys. v. 170, No. 1, 219-247. arXiv:hep-th/9407010

85. N. Reshetikhin and A. Varchenko, Quasiclassical asymptotics of solutions to the KZ equations, Geometry, Topology and Physics for R. Bott, Intern. Press, 1995, 293-322. arXiv:hep-th/9402126

86. V.Tarasov and A.Varchenko, Jackson integral representations for solutions to the quantized KZ equation, St. Peterb. Math. J. 6, no. 2 (1994), 275-313. arXiv:hep-th/9311040

87. V. Tarasov and A. Varchenko, Asymptotic solutions to the quantized KZ equation and Bethe vectors, Amer. Math. Soc. Transl.(2) Vol. 174, 1996, 235-273. arXiv:hep-th/9406060

88. V. Tarasov and A. Varchenko, Solutions to the quantized KZ equation and the Bethe ansatz, Proc. of the XX-th ICGTMP “Group theoretical methods in physics ( Arima, Eguchi, Nakanishi eds ) World Scientific, 1995, 473-478. arXiv:hep-th/9411181

89. A. Varchenko, Critical points of the product of powers of linear functions and families of bases of singular vectors, 1995,Compos. Math., 97, 385-401. arXiv:hep-th/9312119

90. A. Varchenko, Asymptotic solutions to the KZ equation and crystal base, Comm. in Math. Phys. 171 (1995) 99-137. arXiv:hep-th/9403102

91. A. Varchenko, Quantized KZ equations, Quantum YBE, and difference equations for q-Hypergeometric functions, Comm. Math. Phys. 162, 499-528 (1994).

92. V. Tarasov and A. Varchenko, Completeness of Bethe vectors and Difference Equations with Regular Singular Points, Int. Math. Res. Notices, 1995, No. 13 , 637-669. arXiv:q-alg/9504011

93. V. Schechtman, H. Terao, and A. Varchenko, Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors, Journal of Pure and Applied Algebra, 100th issue (1995), 93-102. arXiv:hep-th/9411083

94. S. Chmutov and A. Varchenko, Remarks on the Vassiliev knot invariants coming from sl2, Topology, Vol. 36 (1996), No. 1, 153-178.

95. G. Felder and A. Varchenko, Remarks on the structure constants of the Verlinde algebra associated to sl3, Letters in Math. Physics, Vol. 37, 1996, 167-172.

96. G. Felder and A. Varchenko, Integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equations, Int. Math. Res. notices, 1995, N. 5, 221-233.

97. G. Felder and A. Varchenko, Three formulas for eigenfunctions of integrable Schrodinger operators, Compositio Math. 107 (1997), 143-175.

98. G. Felder and A. Varchenko, On representations of the elliptic quantum group Eτ,η(sl2), Comm. Math. Phys. 181, 1996, 741-761. arXiv:q-alg/9601003

99. Y. Markov, V. Tarasov, and A. Varchenko, The determinant of a hypergeometric period matrix, Houston J. of Math. 24 (1998) No. 2, 197-220. arXiv:alg-geom/9709017

100. G. Felder and A. Varchenko, Algebraic Bethe ansatz for the elliptic quantum group Eτ,η(sl2), Nuclear Physics B 480 (1996) 485-503. arXiv:q-alg/9605024

101. G. Felder and A. Varchenko, Algebraic integrability of the two-body Ruijsenaars operators, Functional Analysis and Its Applications, v. 32, N. 2 (1998) 8-25. arXiv:q-alg/9605024

102. V. Tarasov and A. Varchenko, Geometry of q-hypergeometric functions as a bridge between Yangians and quantum affine algebras, Invent. Math. 128 (1997), 501-588. arXiv:q-alg/9604011

103. S. Gussein-Zade and A. Varchenko, Verlinde algebras and the intersection form on vanishing cycles, Selecta Mathematica, New Series. 3(1997) 79-97.

104. G. Felder, V. Tarasov, and A. Varchenko, Solutions of the elliptic QKZB equations and Bethe ansatz I, in Topics in Singularity Theory, V.I.Arnold’s 60th Aniversary Collection, Advances in the Mathematical Sciences -34, AMS Translations, Series 2, v.180, 45-76, 1998 arXiv:q-alg/9606005

105. V. Tarasov and A. Varchenko, Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups, Asterisque, v 246 (1997), 1-135. arXiv:q-alg/9703044

106. I. Frenkel, A. Kirillov, and A. Varchenko, Canonical bases and local systems, Int. Math. Res. Notices 1997, No. 16, 783-806. arXiv:q-alg/9703007

107. G.Felder and A.Varchenko, Elliptic quantum groups and Ruijsenaars models, J. Stat. Phys. 89(1997) 963-980. arXiv:q-alg/9704005

108. P. Etingof and A. Varchenko, Geometry and classification of solutions of the classical dynamical Yang-Baxter equation, CMP 192,77-120 (1998). arXiv:q-alg/9703040

109. P. Etingof and A. Varchenko, Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups, CMP 196, 591-640 (1998). arXiv:q-alg/9708015

110. G. Felder, V. Tarasov, and A. Varchenko, Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations, Int. J. Math. 10 (1999) 943-975. arXiv:q-alg/9705017

111. E. Mukhin and A.Varchenko, The qKZ equation in tensor products of irreducible sl2-modules, in “Calogero-Moser-Sutherland Models”, CRM Series in Mathematical Physics, Springer, 2000, 347-384. arXiv:q-alg/9709026

112. A. Varchenko, Quantization of the geometry associated to the quantized Knizhnik-Zamolodchikov equations, Proceedings of the Les Houches August 1995 School on Quantum Symmetries, Les Houches, Session LXIV, Elsevier, North-Holland, 1998, 979-990. arXiv:q-alg/9606006

113. E. Mukhin and A. Varchenko, On algebraic equations satisfied by hypergeometric solutions of the QKZ equation, AMS Trans. (2) Vol. 194 , 1999, 189-209. arXiv:q-alg/9710040

114. E. Mukhin and A. Varchenko, Quantization of the space of conformal blocks, Letters in Math. Phys, vol.44 (2), 1998, 157-167. arXiv:q-alg/9710039

115. E. Mukhin and A. Varchenko, Solutions of the QKZB equation in tensor products of finite dimensional modules over the elliptic quantum group Eτ,η(sl2), Fields Institute Communications, vol. 24 (1999) 385-396. arXiv:q-alg/9712056

116. P. Etingof and A. Varchenko, Exchange dynamical quantum groups, CMP, 205 (1999) 19-52. arXiv:math/9801135

117. E. Mukhin and A. Varchenko, Functorial properties of the hypergeometric map, Contemporary Mathematics, Volume 248 (1999), 395-418. arXiv:math/9809187

118. E. Mukhin and A. Varchenko, Remarks on critical points of phase functions and norms of Bethe vectors, Adv. Studies in Pure Math. 27, 2000, Arrangements – Tokyo 1998, 239-246. arXiv:math/9810087

119. A. Varchenko, Combinatorics of a partial fraction decomposition, Proceedings of Steklov Institute of Mathematics, 1993, Issue 3, 51-55.

120. G. Felder and A. Varchenko, The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation, Comm. Math. Phys. 221 (2001), no. 3, 549-571.

121. G. Felder and A. Varchenko, The q-deformed KZB heat equation: completeness, modular properties and SL(3,\mathbb Z), Adv. Math. 171 (2002), no. 2, 228-275. arXiv:math.QA/0110081

122. G. Felder and A. Varchenko, Resonance relations for solutions of elliptic QKZB equations, fusion rules, and eigenvectors of restricted IRF models, Communications in Contemporary Mathematics, Vol. 1, No. 3 (1999) 335-403. arXiv:math/9901111

123. G. Felder and A. Varchenko, The elliptic gamma function and SL(3,Z)\ltimes Z3, Adv. Math. 156 (2000), 44-76. arXiv:math/9907061

124. P. Etingof and A. Varchenko, Traces of Intertwiners for Quantum Groups and Difference Equations, I, Duke Math. Journal, 2000, Vol. 104, No. 3, 391-432. arXiv:math/9907181

125. G. Felder, Y. Markov, V. Tarasov, and A. Varchenko, Differential Equations Compatible with KZ Equations, Journal of Math. Phys., Analysis and Geometry, 3 (2000), 139-177. arXiv:math/0001184

126. V. Tarasov and A. Varchenko, Difference Equations Compatible with Trigonometric KZ Differential Equations, IMRN 2000, No. 15, 801-829. arXiv:math/0002132

127. V.Tarasov and A.Varchenko, Small Elliptic Quantum Group eτ,η(slN), Mosc. Math. J. 1 (2001), no. 2, 243-286, 303-304. arXiv:math/0011145

128. G. Felder and A. Varchenko, Special Functions, Conformal Blocks, Bethe Ansatz, and SL(3,Z), Phil. Trans. R. Soc. Lond. A (2001) 359, 1365-1373. arXiv:math/0101136

129. A. Varchenko, A bilinear form of a real configuration of hyperplanes, Advances in Math., Vol. 97, No. 1, 1993, 110-144.

130. Y. Markov and A. Varchenko, Hypergeometric Solutions of Trigonometric KZ Equations satisfy Dynamical Difference Equations, Adv. Math. 166 (2002), no. 1, 100-147. arXiv:math/0103226

131. G. Felder, L. Stevens, and A. Varchenko, Elliptic Selberg integrals, 1-3. arXiv:math/0103227

132. P. Etingof and A. Varchenko, Dynamical Weyl groups and applications, Adv. Math. 167 (2002), no. 1, 74-127. arXiv:math/0011001

133. V. Tarasov and A. Varchenko, Duality for Knizhnik-Zamolodchikov and Dynamical Equations, The 2000 Twente Conference on Lie Groups (Enschede). Acta Appl. Math. 73 (2002), no. 1-2, 141-154. arXiv:math/0112005

134. S. Tyurina and A. Varchenko, A remark on sl2 approximation of the Kontsevich integral of the unknot, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 299 (2003), Geom. i Topol. 8, 30-37. arXiv:math.AT/0111201

135. G. Felder, L. Stevens, and A. Varchenko, Modular transformations of the elliptic hypergeometric functions, Macdonald polynomials, and the shift operator, Moscow Math. J., 3, n. 2 (2003), 457-473. arXiv:math.QA/0203049

136. G. Felder and A. Varchenko, Even powers of divisors and elliptic zeta values, J. Reine Angew. Math. 579 (2005), 195-201. arXiv:math.QA/0205116

137. I. Scherbak and A. Varchenko, Critical points of functions, sl2 representations, and Fuchsian differential equations with only univalued solutions, Moscow Math. J., 3, n. 2 (2003), 621-645. arXiv:math.QA/0112269

138. P. Etingof, O. Schiffmann, and A. Varchenko, Traces of intertwiners for quantum groups and difference equations, II, Lett. Math. Phys. 62 (2002), no. 2, 143-158. arXiv:math.QA/0207157

139. K. Styrkas, V. Tarasov, and A. Varchenko, How to regularize singular vectors and kill the dynamical Weyl group, Advances in Math. 185 (2004), 91-135. arXiv:math.QA/0206294

140. A. Varchenko, Special functions, KZ type equations, and Representation theory, CBMS, Regional Conference Series in Math., n. 98, AMS (2003). arXiv:math.QA/0205313

141. E. Mukhin and A. Varchenko, Critical points of master functions and flag varieties, Commun. Contemp. Math. 6 (2004), no. 1, 111-163. arXiv:math.QA/0209017

142. D. Cohen and A. Varchenko, Resonant local systems on complements of discriminantal arrangements and sl2 representations, Geometricae Dedicata 101 (2003), 217-233. arXiv:math.AG/0211253

143. E. Mukhin and A. Varchenko, Solutions to the XXX type Bethe ansatz equations and flag varieties, Cent. Eur. J. Math.,  1, no. 2 (2003), 238-271. arXiv:math.QA/0211321

144. G. Felder, L. Stevens, and A. Varchenko, Elliptic Selberg integrals and conformal blocks, Math. Res. Lett. 10 (2003), no. 5-6, 671-684. arXiv:math.QA/0210040

145. E. Mukhin and A. Varchenko, Populations of solutions of the XXX Bethe equations associated to Kac-Moody algebras,Contemporary Mathematics 392 (2005), 95-102. arXiv:math.QA/0212092

146. G. Felder and A. Varchenko, Multiplication Formulas for the Elliptic Gamma Function, Contemporary Mathematics 391 (2005), 69-73. arXiv:math.QA/0212155

147. P. Etingof and A. Varchenko, The orthogonality and qKZB-heat equation for traces of Uq(g)-intertwiners, Duke Math. J. 128 (2005), no. 1, 83-117. arXiv:math.QA/0302071

148. V. Tarasov and A. Varchenko, Selberg Type Integrals Associated with sl3, Lett. Math. Phys. 65 (2003), no. 3, 173-185. arXiv:math.QA/0302148

149. G. Felder and A. Varchenko, Hypergeometric theta functions and elliptic Macdonald polynomials, Int. Math. Res. Not. 2004, no. 21, 1037-1055. arXiv:math.QA/0309452

150. V. Tarasov and A. Varchenko, Identities for hypergeometric integrals of different dimensions, Lett. Math. Phys 71 (2005), no.2, 89-99. arXiv:math.QA/0305224

151. V. Tarasov and A. Varchenko, Identities between q-hypergeometric and hypergeometric integrals of different dimensions, Advances in Math. 191 (2005), 29-45. arXiv:math.QA/0309372

152. E. Mukhin and A. Varchenko, Miura Opers and Critical Points of Master Functions, Cent. Eur. J. Math. 3 (2005), no. 2, 155-182. arXiv:math.QA/0312406

152. E. Mukhin and A. Varchenko, Discrete Miura Opers and Solutions of the Bethe Ansatz Equations, Comm. Math. Phys. 256 (2005), no. 3, 565-588. arXiv:math.QA/0401137

153. S. Tyurina and A. Varchenko, Finite order invariants for (n,2)-torus knots and the curve Y2=X3+X2, 1-3. arXiv:math.GT/0402185

154. E. Mukhin and A. Varchenko, Norm of a Bethe Vector and the Hessian of the Master Function, Compos. Math. 141 (2005), no. 4, 1012-1028. arXiv:math.QA/0402349

155. V. Tarasov and A. Varchenko, Dynamical differential equations compatible with rational qKZ equations, Lett. Math. Phys. 71 (2005), no.2, 101-108. arXiv:math.QA/0403416

156. R. Rimanyi, L. Stevens, and A. Varchenko, Combinatorics of rational functions and Poincare-Birchoff-Witt expansions of the canonical U(\mathfrak n)-valued differential form, Ann. Comb. 9 (2005), no. 1, 57-74. arXiv:math.CO/0407101

157. A. Varchenko, Selberg Integrals, 1-5. arXiv:math.QA/0408308

158. A. Varchenko, Bethe Ansatz for Arrangements of Hyperplanes and the Gaudin Model, Mosc. Math. J. 6 (2006), no. 1, 195-210, 223-224. arXiv:math.QA/0408001

159. E. Mukhin and A. Varchenko, Multiple orthogonal polynomials and a counterexample to Gaudin Bethe Ansatz Conjecture, Trans. Amer. Math. Soc. 359 (2007), no. 11, 5383-5418. arXiv:math.QA/0501144

160. G. Felder, R. Rimanyi, and A. Varchenko, Poincare-Birkhoff-Witt expansions of the canonical elliptic differential form, Quantum groups, 191-208, Contemp. Math., 433, Amer. Math. Soc., Providence, RI, 2007. arXiv:math.RT/0502296

161. P. Belkale, E. Mukhin, and A. Varchenko, Multiplicity of critical points of master functions and Schubert calculus, IRMA Lectures in Mathematics and Theoretical Physics Vol. 9, Andrey A. Bolibrukh Memorial Volume, Europ. Math. Soc. Publishing House, 2006, 59-84. arXiv:math.QA/0503132

162. V.I. Arnol’d, S. Gussein-Zade, and A. Varchenko, Singularities of Differential Maps, Second Edition, MCCME, Moscow, 2004, 1-670.

163. E. Mukhin, V. Tarasov, and A. Varchenko, Bispectral and (glN,glM) Dualities, Functional Analysis and Other Mathematics”, 1 (2006), No. 1, 55-80. arXiv:math.QA/0510364

164. S. Khoroshkin and A. Varchenko, Quiver D-Modules and Homology of Local Systems over an Arrangement of Hyperplanes, IMRP Int. Math. Res. Pap. 2006, Art. ID 69590, 116 pp. arXiv:math.QA/0510451

165. E. Mukhin and A. Varchenko, The Differential equation for Jacobi-Pineiro polynomials, Comput. Methods Funct. Theory 6 (2006), No. 2, 471-480. arXiv:math.QA/0511138

166. E. Mukhin, V. Tarasov, and A. Varchenko, The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz, Ann. of Math. (2) 170 (2009), no. 2, 863-881. arXiv:math.AG/0512299

167. E. Mukhin, V. Tarasov, and A. Varchenko, Higher Lame Equations and Critical Points of Master Functions, Mosc. Math. J. 7 (2007), no. 3, 533-542, 575. arXiv:math.CA/0601703

168. D. Mukherjee and A. Varchenko, Determinants of the hypergeometric period matrices of an arrangement and its dual, Ann. Comb. 13 (2009), no. 1, 115-138. arXiv:math.AG/0603005

169. E. Mukhin and A. Varchenko, Quasi-polynomials and the Bethe Ansatz, Geometry & Topology Monographs 13, Groups, homotopy and configuration spaces (Tokyo 2005), in honour of Fred Cohen, (2008), 385-420. arXiv:math.QA/0604048

170. E. Mukhin, V. Tarasov, and A. Varchenko, Bethe Eigenvectors of Higher Transfer Matrices, J. Stat. Mech. (2006) P08002, 1-44. arXiv:math.QA/0605015

171. E. Mukhin, V. Tarasov, and A. Varchenko, Bispectral and (glN, glM) Dualities, Discrete Versus Differential, Adv. Math. 218 (2008), no. 1, 216-265. arXiv:math.QA/0605172

172. K. Styrkas and A. Varchenko, Resonance relations, holomorphic trace functions and hypergeometric solutions to qKZB and Macdonald-Ruijsenaars equations, International Mathematics Research Papers, Vol. 2007, no. 4 Article ID rpm008, 78 pages (2008). arXiv:math.QA/0612330

173. E. Mukhin, V. Tarasov, and A. Varchenko, A generalization of the Capelli identity, Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. Vol. II, 383-398, Progr. Math., 270, Birkh�user Boston, Inc., Boston, MA, 2009. arXiv:math.QA/0610799

174. E.Mukhin, V.Schechtman, V.Tarasov and A. Varchenko, On the new form of Bethe ansatz equations and separation of variables in the sl3 Gaudin model, Proceedings of the Steklov Institute of Mathematics, v. 258(2007), 155-177. arXiv:math.QA/0609428

175. E. Mukhin, V. Tarasov, A. Varchenko, Generating operator of XXX or Gaudin transfer matrices has quasi-exponential kernel, SIGMA 3 (2007), 060, 31 pages. arXiv:math.QA/0703893

176. V. Tarasov, A. Varchenko, Combinatorial formulae for nested Bethe vectors, 1-31. arXiv:math/0702277

177. E. Mukhin, V. Tarasov, A. Varchenko, Bethe algebra and algebra of functions on the space of differential operators of order two with polynomial solutions, Selecta Mathematica, v. 14 (2008), n. 1, 121-144. arXiv:0705.4114

178. E. Mukhin, V. Tarasov, A. Varchenko, Bethe Algebra of Homogeneous XXX Heisenberg Model Has Simple Spectrum, 1-39, Comm. Math. Phys. 288 (2009), 1-42. arXiv:0706.0688

179. E. Mukhin, V. Tarasov, A. Varchenko, On separation of variables and completeness of the Bethe ansatz for quantum \mathfrakglN Gaudin model, Glasgow Math. J. 51A (2009) 137145, 1-9. arXiv:0712.0981

180. E. Mukhin, V. Tarasov, A. Varchenko, Schubert calculus and representations of general linear group, J. Amer. Math. Soc. 22 (2009), no. 4, 909-940. arXiv:0711.4079

181. E. Mukhin, V. Tarasov, A. Varchenko, On reality property of Wronski maps, 1-18, Confluentes Mathematici, 1 (2009), no. 2, 225-247. arXiv:0710.5856

182. E. Mukhin, V. Tarasov, A. Varchenko, Spaces of quasi-exponentials and representations of glN, J. Phys. A: Math. Theor. 41 (2008) 194017 (28pp). arXiv:0801.3120

183. E. Mukhin, V. Tarasov, A. Varchenko, The gl2 Bethe algebra associated with a nilpotent element, Quantum affine algebras, extended affine Lie algebras, and their applications, 187-214, Contemp. Math., 506, Amer. Math. Soc., Providence, RI, 2010. arXiv:0810.2257

184. E. Looijenga, A. Varchenko, Unitarity of SL(2)-conformal blocks in genus zero, arXiv:0810.4310, version 1, 1-15
That paper had been stolen from me, see ScienceDirect

185. K. Petersen, A. Varchenko, The Euler adic dynamical system and path counts in the Euler graph, Tokyo J. Math. 33 (2010), no. 2, 327-340. arXiv:0811.1733

186. A. Varchenko, A Selberg Integral Type Formula for an sl2 One-Dimensional Space of Conformal Blocks, Mosc. Math. J. 10 (2010), no. 2, 469-475, 480. arXiv:0810.3355

187. E. Mukhin, V. Tarasov, A. Varchenko, Gaudin Hamiltonians generate the Bethe algebra of a tensor power of vector representation of glN, Algebra i Analiz 22 (2010), no. 3, 177-190. arXiv:0904.2131

188. E. Mukhin, V. Tarasov, A. Varchenko, Bethe algebra of Gaudin model, Calogero-Moser space and Cherednik algebra, arXiv:0906.5185, 1-24.

189. E. Mukhin, V. Tarasov, A. Varchenko, Three sides of the geometric Langlands correspondence for glN Gaudin model and Bethe vector averaging maps, arXiv:0907.3266, 1-26

190. D. Cohen, G. Denham, M. Falk, A. Varchenko, Critical points and resonance of hyperplane arrangements, arXiv:0907.0896, 1-19

191. E. Mukhin, V. Tarasov, A. Varchenko, Bethe algebra of the glN+1 Gaudin model and algebra of functions on the critical set of the master function, arXiv:0910.4690, 1-14

192. K. Petersen, A. Varchenko, Path count asymptotics and Stirling numbers, arXiv:0911.1970, 1-11

193. R. Rimanyi, A. Varchenko, Conformal blocks in the tensor product of vector representations and localization formulas, arXiv:0911.3253, 1-21

194. A. Varchenko, Quantum Integrable Model of an Arrangement of Hyperplanes, SIGMA 7 (2011), 032, 55 pages; arXiv:1001.4553

195. E. Mukhin, V. Tarasov, A. Varchenko, Bethe subalgebras of the group algebra of the symmetric group, arXiv:1004.4248, 1-30

196. R. Rimanyi, V. Schechtman, A. Varchenko, Conformal blocks and equivariant cohomology, arXiv:1007.3155, 1-23

197. D. Cohen, G. Denham, M. Falk, A. Varchenko, Vanishing products of one-forms and critical points of master functions, arXiv:1010.3743, 1-25

198. E. Jensen, A. Varchenko, Norms of eigenfunctions to trigonometric KZB operators, arXiv:1010.0447, 1-19

199. D. Cohen, G. Denham, M. Falk, A. Varchenko, Vanishing products of one-forms and critical points of master functions, arXiv:1010.3743, 1-25

200. R. Rimanyi, V. Schechtman, V. Tarasov, A. Varchenko, Cohomology of a flag variety as a Bethe algebra, arXiv:1102.0816, 1-16

201. E. Mukhin, V. Tarasov, A. Varchenko, Reality property of discrete Wronski map with imaginary step, arXiv:1102.5368, 1-9

202. Topics in Singularity Theory : V. I. Arnold’s 60th Anniversary Collection by A. Khovanskii, A. Varchenko , V. Vassiliev ISBN 0821808079, AMS, 1997

203. Geometry of Differential Equations by A. Khovanskii, A. Varchenko , V. Vassiliev ISBN 0821810944, AMS, 1998

204. Collected Works of V.I. Arnold, Representations of Functions, Celestial Mechanics and KAM Theory, 1957-1965, edited by A. Givental, B. Khesin, J. Marsden, A. Varchenko, V. Vassiliev, O. Viro, V. Zakalyukin, Springer-Verlag, 2009.

205. D. Arinkin, A. Varchenko, Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor, arXiv:1106.5732, 1-4.

206. A. Levin, A. Varchenko, Cohomology of the complement to an elliptic arrangement, arXiv:1106.5735, 1-12.

207. Michael J. Falk, Alexander N. Varchenko, The contravariant form on singular vectors of a projective arrangement, arXiv:1108.3871, 1-12.

208. R. Rimányi, V. Tarasov, A. Varchenko, P. Zinn-Justin, Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral, Journal of Geometry and Physics, 62 (2012), pp. 2188–2207, arXiv:1110.2187.

209. E. Mukhin, V. Tarasov, A. Varchenko, KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians, arXiv:1201.3990, 1-11.

210. R. Rimanyi, V. Tarasov, A. Varchenko, Cohomology classes of conormal bundles of Schubert varieties and Yangian weight functions, arXiv:1204.4961, 1-21.

211. V. Gorbounov, R. Rimanyi, V. Tarasov, A. Varchenko, Cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra, arXiv:1204.5138, 1-44.

212. A. Varchenko, D. Wright, Critical points of master functions and integrable hierarchies, arXiv:1207.2274, 1-40.

213. A. Varchenko, Arrangements and Frobenius like structures, arXiv:1210.3802, 1-55.

214. R. Rimanyi, V. Tarasov, A. Varchenko, Partial flag varieties, stable envelopes and weight functions, arXiv:1212.6240, 1-22.

215. V. Tarasov, A. Varchenko, Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety , arXiv:1301.2705, 1-19.

216. E. Mukhin, V. Tarasov, A. Varchenko, Spaces of quasi-exponentials and representations of the Yangian Y(gl_N), arXiv:1303.1578, 1-23.

217. A. Varchenko, T. Woodruff, D. Wright, Critical points of master functions and the mKdV hierarchy of type A^2_2, arXiv:1305.5603, 1-22.

218. Evgeny Mukhin, Alexander Varchenko, On the number of populations of critical points of master functions, arXiv:1306.4429, 1-8.

219. M. Falk, V. Schechtman, A. Varchenko, BGG resolutions via configuration spaces, arXiv:1309.7811, 1-19.

220. A. Varchenko, Characteristic variety of the Gauss-Manin differential equations of a generic parallelly translated arrangement, arXiv:1402.0924, 1-13.

221. A. Varchenko, Critical set of the master function and characteristic variety of the associated Gauss-Manin differential equations, arXiv:1410.2438, 1-24.

222. R. Rimanyi, V. Tarasov, A. Varchenko, Trigonometric weight functions as K-theoretic stable envelope maps for the cotangent bundle of a flag variety, arXiv:/1411.0478, 1-56.

223. Alexander Varchenko, Charles A.S. Young, Populations of Solutions to Cyclotomic Bethe Equations, arXiv:/1505.07582, 1-41.

224. Laura Brillon, Vadim Schechtman, Alexander Varchenko, Vanishing cycles and Cartan eigenvectors, arXiv:/1509.05591, 1-25.

225. R. Rimanyi, A. Varchenko, Equivariant Chern-Schwartz-MacPherson classes in partial flag varieties: interpolation and formulae, arXiv:1509.09315, 1-9.

226. R. Rimanyi, A. Varchenko, Dynamical Gelfand-Zetlin algebra and equivariant cohomology of Grassmannians, arXiv:1510.03625, 1-27.

227. Vadim Schechtman, Alexander Varchenko, Rational differential forms on line and singular vectors in Verma modules over $\widehat {sl}_2$, arXiv:1511.09014, 1-15.

228. Kang Lu, E. Mukhin, A. Varchenko, On the Gaudin model associated to Lie algebras of classical types, arXiv:1512.08524, 1-26.

229. A. Varchenko, On axioms of Frobenius like structure in the theory of arrangements, arXiv:1601.02208, 1-12.

230. A.Varchenko, C.A. S.Young, Cyclotomic discriminantal arrangements and diagram automorphisms of Lie algebras, arXiv:1603.07125, 1-56.

231 A.Varchenko, Real algebraic geometry and integrable systems, Geometric methods in mathematical physics, Lectures of Summer School in Voskresenskoe, Ed. B. Dubrovin, MAKS Press, 2014, 3-28, ISBN 978-5-317-04859-4

232. C. Hertling, A. Varchenko, Potentials of a Frobenius like structure and $m$ bases of a vector space, arXiv:1608.08423, 1-18

233. Eric M. Rains, Yi Sun, Alexander Varchenko, Affine Macdonald conjectures and special values of Felder-Varchenko functions, arXiv:1610.01917, Selecta Mathematica, 1-43, DOI:10.1007/s00029-017-0328-4

234. Andrew Prudhom, Alexander Varchenko, Potentials of a family of arrangements of hyperplanes and elementary subarrangements, arXiv:1611.03944, 1-26

235. Giovanni Felder, Richard Rimanyi, Alexander Varchenko, Elliptic dynamical quantum groups and equivariant elliptic cohomologyarXiv:1702.08060, 1-41

236. Alexander Varchenko, Tyler Woodruff, Critical points of master functions and mKdV hierarchy of type $A^{(2)}_{2n}$arXiv:1702.06169, 1-29

237. Kang Lu, E. Mukhin, A.Varchenko, Self-dual Grassmannian, Wronski map, and representations of $\frak{gl}_N, \frak{sp}_{2r}\frak{so}_{2r+1}$, arXiv:1705.02048, 1-30

238. R. Rimanyi, V. Tarasov, A.Varchenko, Elliptic and K-theoretic stable envelopes and Newton polytopes, arXiv:1705.0934, 1-35

239. V. Schechtman, A. Varchenko, Solutions of KZ differential equations modulo $p$, arXiv:1707.02615, 1-23

240. A. Varchenko, Remarks on the Gaudin model modulo $p$, arXiv:1708.06264, 1-16

241. A. Varchenko, Solutions modulo $p$ of Gauss-Manin differential equations for multidimensional hypergeometric integrals and associated Bethe ansatz, arXiv:1709.06189, 1-19

242. Vitaly Tarasov, Alexander Varchenko, q-Hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem, arXiv:1710.03177, 1-47

243. Claus Hertling, Alexander Varchenko, Potentials of a Frobenius like structure , arXiv:1712.08389, 1-13

244. A. Varchenko, Hyperelliptic integrals modulo p and Cartier-Manin matrices , arXiv:1806.03289, 1-16

245. S. Chmutov, The Monodromy Groups of Critical Points of Functions II , with Appendix by A. Varchenko, On the Monodromy of $A_\mu$ and $D_\mu$ , Invent.Math. 73 (1983), 491–510

246. D. Thompson, A. Varchenko, Dynamical elliptic Bethe algebra, KZB eigenfunctions, and theta-polynomials , arXiv:1810.09001, 1-48

247. A. Varchenko, T. Woodruff, Critical points of master functions and mKdV hierarchy of type $C^{(1)}_n$, arXiv:1811.03425, 1-31

248. A. Slinkin, A. Varchenko, Twisted De Rham complex on line and $\widehat{\frak{sl}_2}$-singular vectors, arXiv:1812.09791, 1-29

249. Vitaly Tarasov, Alexander Varchenko, Equivariant quantum differential equation, Stokes bases, and K-theory for a projective space, arXiv:1901.02990, 1-19

250. Richárd Rimányi, Andrey Smirnov, Alexander Varchenko, Zijun Zhou, 3d Mirror Symmetry and Elliptic Stable Envelopes, arXiv:1902.03677, 1-47

251. Richárd Rimányi, Andrey Smirnov, Alexander Varchenko, Zijun Zhou, Three-Dimensional Mirror Self-Symmetry of the Cotangent Bundle of the Full Flag Variety , arXiv:1906.00134, 1-22

252. Igor Krichever, Alexander Varchenko, Incarnations of XXX $\widehat{\frak{sl}_N}$ Bethe equations and integrable hierarchies , arXiv:1907.12198, 1-57

253. Giordano Cotti, Alexander Varchenko, Equivariant quantum differential equation and qKZ equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and B-Theorem , arXiv:1909.06582, 1-77

254. Vadim Schechtman, Alexander Varchenko, Positive Populations , arXiv:1912.11895, 1-32

255. Alexey Slinkin, Alexander Varchenko, Hypergeometric Integrals Modulo p and Hasse-Witt Matrices , arXiv:2001.06869, 1-36

256. Alexander Varchenko,An invariant subbundle of the KZ connection mod $p$ and reducibility of $\widehat{\frak{sl}}_2$ Verma modules mod $p$}, arXiv:2002.05834, 1-14

257. G. Cotti, A. Varchenko, The $*$-Markov equation for Laurent polynomials, arXiv:2006.11753, 1-67

258. A. Slinkin, D. Thompson, A. Varchenko, Dynamical $\frak{sl}_2$ Bethe algebra and functions on pairs of quasi-polynomials, arXiv:2007.09504, 1-29

259. V. Tarasov, A. Varchenko, Knizhnik–Zamolodchikov-Type Equations, Selberg Integrals, and Related Special Functions, Encyclopedia of Special Functions: The Askey-Bateman Project, Volume 2. Multivariable Special Functions , Cambridge University Press, 2020 , 368-401

260. A. Varchenko, Determinant of $\mathbb F_p$-hypergeometric solutions under ample reduction , arXiv:2010.11275, 1-22

261. Richárd Rimányi, Alexander Varchenko, The $\mathbb F_p$-Selberg integral , arXiv:2011.14248, 1-19

262. Richárd Rimányi, Alexander Varchenko, The $\mathbb F_p$-Selberg integral of type A_n , arXiv:2012.01391, 1-21

263. Vadim Schechtman, Alexander Varchenko, Derived KZ equations , arXiv:2012.02585, 1-30

264. Alexander Varchenko, Notes on solutions of KZ equations modulo $p^s$ and $p$-adic limit $s\to\infty$ , arXiv:2103.01725, 1-41

265. Alexander Varchenko, Wadim Zudilin, Ghosts and congruences for $p^s$-appoximations of hypergeometric periods , arXiv:2107.08548, 1-29

266. Alexander Varchenko, Wadim Zudilin, Congruences for Hasse–Witt matrices and solutions of $p$-adic KZ equations , arXiv:2108.12679, 1-26

267. E.Mukhin, A,Varchenko, Frobenius-like structure in Gaudin model , arXiv:2201.03087, 1-17

268. Alexander Varchenko, On the number of $p$-hypergeometric solutions of KZ equations , arXiv:2201.11820, 1-21

269. V.Tarasov, A.Varchenko Landau-Ginzburg mirror, quantum differential equations and qKZ difference equations for a partial flag variety , arXiv:2203.03039, 1-76

270. Alexander Varchenko, Dwork-type congruences and $p$-adic KZ connection, arXiv:2205.01479, 1-26

271. A.Varchenko, Dynamical and qKZ equations modulo $p^s$, an example, arXiv:2205.03980, 1-16

272. E.Mukhin, A.Varchenko Solutions of the $\frak{sl}_2$ qKZ equations modulo an integer, arXiv:2208.09721, 1-22

273. V.Schechtman, A.Varchenko, De Rham-Witt KZ equations, arXiv:2212.03628, 1-20

274. V.Tarasov, A.Varchenko, Monodromy of the equivariant quantum differential equation of the cotangent bundle of a Grassmannian, arXiv:2212.09011, 1-29

275. A.Smirnov, A.Varchenko, The $p$-adic approximations of vertex functions via $3D$-mirror symmetry, arXiv:2302.03092, 1-22

276. P.Etingof, A.Varchenko, Solutions modulo $p^s$ of the differential KZ and dynamical equations, SIGMA 19 (2023), 061, 16 pages

277. A.Smirnov, A.Varchenko, Polynomial superpotential for Grassmannian $\Gr(k,n)$ from a limit of vertex function, arXiv:2305.03849, 1-16

278. G.\,Felder, A.Smirnov, V.Tarasov, A.Varchenko, Hypergeometric integrals, hook formulas and Whittaker vectors, arXiv:2308.05766, 1-15

279. A.Gorsky, A.Varchenko, Calogero-Moser eigenfunctions modulo $p^s$, arXiv:2312.01976, 1-24