## Varchenko, Alexander Nikolaevich

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 Author ID: varchenko.alexander-n Published as: Varchenko, A. N.; Varchenko, A.; Varchenko, Alexander; Varchenko, Alexander N.; Varchenko, Alexandre; Varchenko, Alexandre N. more...less External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
 Documents Indexed: 264 Publications since 1969, including 11 Books 5 Contributions as Editor Co-Authors: 99 Co-Authors with 183 Joint Publications 3,074 Co-Co-Authors
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### Co-Authors

 80 single-authored 53 Tarasov, Vitaly Olegovich 42 Mukhin, Evgeny 20 Felder, Giovanni 18 Rimányi, Richárd 16 Schechtman, Vadim 11 Arnol’d, Vladimir Igorevich 10 Khovanskiĭ, Askold Georgievich 9 Etingof, Pavel Il’ich 9 Gusein-Zade, Sabir M. 6 Givental, Alexander Borisovich 6 Vasil’ev, Viktor Anatol’evich 5 Chmutov, Sergei V. 4 Falk, Michael J. 3 Cohen, Daniel C. 3 Feĭgin, Boris L’vovich 3 Khesin, Boris A. 3 Scherbak, Inna 3 Slinkin, Alexey M. 3 Woodruff, Tyler 2 Beilinson, Alexander A. 2 Cotti, Giordano 2 Denham, Graham 2 Gel’fand, Israil’ Moiseevich 2 Goncharov, Alexander Borisovich 2 Karev, Maksim V. 2 Krasil’shchik, Joseph 2 Lando, Sergei K. 2 Lu, Kang 2 Mnëv, Nikolai Evgen’evich 2 Panina, Gaiane Yu. 2 Petersen, Karl E. 2 Smirnov, Andrey V. 2 Sosinskiĭ, Alekseĭ Bronislavovich 2 Tyurina, Svetlana 2 Vershik, Anatoliĭ Moiseevich 2 Viro, Oleg Ya. 2 Young, Charles A. S. 2 Zhou, Zijun 1 Abramov, A. M. 1 Arinkin, Dima 1 Barlet, Daniel 1 Belkale, Prakash 1 Berry, Michael Victor 1 Blok, B. 1 Bolsinov, Alexey V. 1 Brillon, Laura 1 Bukhshtaber, Viktor Matveevich 1 Chekhov, Leonid O. 1 Dobrokhotov, Sergei Yurievich 1 Felder, D. Zh. 1 Felder, T. G. 1 Frenkel, Igor B. 1 Galgani, Luigi 1 Gorbounov, Vassily 1 Grinevich, Pëtr Georgievich 1 Grushevsky, S. M. 1 Hertling, Claus 1 Ilyashenko, Yulij Sergeevich 1 Jensen, Erik J. 1 Kirillov, Alexander A. jun. 1 Kozlov, Valeriĭ Vasil’evich 1 Krichever, Igor’ Moiseevich 1 Levin, Andrey M. 1 Marsden, Jerrold Eldon 1 Marshakov, Andrei V. 1 Mironov, Andreĭ Evgen’evich 1 Molchanov, Stanislav Alekseevich 1 Neĭshtadt, Anatoliĭ Iserovich 1 Nekrasov, Nikita Alexandrovich 1 Novikov, Sergeĭ Petrovich 1 Okun’kov, Andreĭ Yur’evich 1 Olshanetsky, Mikhail A. 1 Piterbarg, Vladimir Il’ich 1 Pogrebkov, Andrei K. 1 Porteous, Hugh L. 1 Prudhom, Andrew 1 Rains, Eric M. 1 Ramazashvili, Revaz 1 Reshekikhin, Nicolai 1 Schiffmann, Olivier G. 1 Sevryuk, Mikhail Borisovich 1 Sheĭnman, Oleg Karlovich 1 Shlosman, Senya B. 1 Skorobogatov, Alexei Nikolaïevitch 1 Smale, Steve 1 Sun, Yi 1 Tabachnikov, Serge L. 1 Taimanov, Iskander Asanovich 1 Tapia, Joseph 1 Terao, Hiroaki 1 Tsfasman, Michael A. 1 Valisyev, N. 1 Vasil’ev, N. N. 1 Vassilev, Victor A. 1 Veselov, Alexander Petrovich 1 Yashchenko, Valery V. 1 Zabrodin, Anton V. 1 Zakalyukin, Vladimir M. 1 Zhilinskií, Boris I. 1 Zinn-Justin, Paul
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### Serials

 16 Functional Analysis and its Applications 11 Communications in Mathematical Physics 10 Letters in Mathematical Physics 10 Advances in Mathematics 10 Moscow Mathematical Journal 9 IMRN. International Mathematics Research Notices 8 Soviet Mathematics. Doklady 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Russian Mathematical Surveys 7 Mathematics of the USSR. Izvestiya 6 Funktsional’nyĭ Analiz i ego Prilozheniya 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 5 Arnold Mathematical Journal 4 Journal of Geometry and Physics 4 Compositio Mathematica 4 Selecta Mathematica. New Series 3 Mathematical Notes 3 Moscow University Mathematics Bulletin 3 Inventiones Mathematicae 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Central European Journal of Mathematics 3 Pure and Applied Mathematics Quarterly 2 Matematicheskie Zametki 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Duke Mathematical Journal 2 Glasgow Mathematical Journal 2 Journal of Soviet Mathematics 2 International Journal of Mathematics 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Journal of Knot Theory and its Ramifications 2 St. Petersburg Mathematical Journal 2 Transformation Groups 2 Annals of Combinatorics 2 Communications in Contemporary Mathematics 2 IMRP. International Mathematics Research Papers 2 Monographs in Mathematics 2 Journal of Singularities 2 Mathematics 2 Modern Birkhäuser Classics 2 Translations. Series 2. American Mathematical Society 1 International Journal of Modern Physics A 1 Houston Journal of Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 Soviet Scientific Reviews. Section C 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Canadian Journal of Mathematics 1 Geometriae Dedicata 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Tokyo Journal of Mathematics 1 Topology 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Journal of the American Mathematical Society 1 Algebra i Analiz 1 Leningrad Mathematical Journal 1 Mathematics of the USSR, Sbornik 1 Notices of the American Mathematical Society 1 Journal of Mathematical Sciences (New York) 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya 1 Mathematical Research Letters 1 European Mathematical Society Newsletter 1 The Ramanujan Journal 1 Mathematical Physics, Analysis and Geometry 1 Reviews in Mathematics and Mathematical Physics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Computational Methods and Function Theory 1 Journal of Statistical Mechanics: Theory and Experiment 1 Advanced Series in Mathematical Physics 1 Astérisque 1 Proceedings of the Steklov Institute of Mathematics 1 University Lecture Series 1 Functional Analysis and Other Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Confluentes Mathematici 1 Quantum Topology 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 CBMS Regional Conference Series in Mathematics 1 Journal of Integrable Systems
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### Fields

 118 Nonassociative rings and algebras (17-XX) 87 Several complex variables and analytic spaces (32-XX) 76 Quantum theory (81-XX) 61 Special functions (33-XX) 58 Algebraic geometry (14-XX) 48 Statistical mechanics, structure of matter (82-XX) 36 Global analysis, analysis on manifolds (58-XX) 20 Difference and functional equations (39-XX) 19 Dynamical systems and ergodic theory (37-XX) 17 Partial differential equations (35-XX) 15 Ordinary differential equations (34-XX) 15 Convex and discrete geometry (52-XX) 15 Manifolds and cell complexes (57-XX) 14 Differential geometry (53-XX) 13 Algebraic topology (55-XX) 12 Number theory (11-XX) 11 Combinatorics (05-XX) 10 History and biography (01-XX) 8 Commutative algebra (13-XX) 5 Geometry (51-XX) 4 Group theory and generalizations (20-XX) 3 General and overarching topics; collections (00-XX) 3 $$K$$-theory (19-XX) 3 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

225 Publications have been cited 2,952 times in 1,765 Documents Cited by Year
Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol’d. Reprint of the 1985 hardback edition. Zbl 1290.58001
Arnold, V. I.; Gusein-Zade, S. M.; Varchenko, A. N.
2012
Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi. Reprint of the 1988 hardback edition. Zbl 1297.32001
Arnold, V. I.; Gusein-Zade, S. M.; Varchenko, A. N.
2012
Arrangements of hyperplanes and Lie algebra homology. Zbl 0754.17024
Shekhtman, V. V.; Varchenko, Alexander N.
1991
The complex exponent of a singularity does not change along strata mu=const. Zbl 0498.32010
Varchenko, A. N.
1982
Singularities of differentiable maps. Volume I: The classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, ed. by V. I. Arnol’d. Zbl 0554.58001
Arnol’d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N.
1985
Newton polyhedra and estimation of oscillating integrals. Zbl 0351.32011
Varchenko, A. N.
1977
Zeta-function of monodromy and Newton’s diagram. Zbl 0333.14007
Varchenko, A. N.
1976
Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups. Zbl 0951.33001
Varchenko, A.
1995
Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors. Zbl 0849.32025
Schechtman, Vadim; Terao, Hiroaki; Varchenko, Alexander
1995
The elliptic gamma function and $$\text{SL}(3,\mathbb Z)\ltimes\mathbb Z^3$$. Zbl 1038.11029
Felder, Giovanni; Varchenko, Alexander
2000
Schubert calculus and representations of the general linear group. Zbl 1205.17026
Mukhin, E.; Tarasov, V.; Varchenko, A.
2009
Singularities of differentiable maps. Volume II: Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous. Zbl 0659.58002
Arnol’d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N.
1988
Estimate of the number of zeros of an Abelian integral depending on a parameter and limit cycles. Zbl 0578.58035
Varchenko, A. N.
1984
Geometry of $$q$$-hypergeometric functions, quantum affine algebras and elliptic quantum groups. Zbl 0938.17012
Tarasov, V.; Varchenko, A.
1997
Asymptotic Hodge structure in the vanishing cohomology. Zbl 0489.14003
Varchenko, A. N.
1982
Geometry and classification of solutions of the classical dynamical Yang-Baxter equation. Zbl 0915.17018
Etingof, Pavel; Varchenko, Alexander
1998
Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups. Zbl 0957.17019
Etingof, Pavel; Varchenko, Alexander
1998
Why the boundary of a round drop becomes a curve of order four. Zbl 0768.76073
Varchenko, A. N.; Etingof, P. I.
1992
Quasiclassical asymptotics of solutions to the KZ equations. Zbl 0867.58065
Reshekikhin, Nicolai; Varchenko, Alexander
1995
Differential equations compatible with KZ equations. Zbl 0984.35134
Felder, G.; Markov, Y.; Tarasov, V.; Varchenko, A.
2000
Geometric $$q$$-hypergeometric functions as a bridge between Yangians and quantum affine algebras. Zbl 0877.33013
Tarasov, V.; Varchenko, A.
1997
Critical points of master functions and flag varieties. Zbl 1050.17022
Mukhin, E.; Varchenko, A.
2004
Exchange dynamical quantum groups. Zbl 0943.17010
Etingof, P.; Varchenko, A.
1999
Dynamical Weyl groups and applications. Zbl 1033.17010
Etingof, P.; Varchenko, A.
2002
On representations of the elliptic quantum group $$E_ \tau,\eta(sl_ 2)$$. Zbl 0870.17012
Felder, Giovanni; Varchenko, Alexander
1996
The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz. Zbl 1213.14101
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
2009
Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra. Zbl 1287.81063
Gorbounov, V.; Rimányi, R.; Tarasov, V.; Varchenko, A.
2013
Remarks on the Vassiliev knot invariants coming from $$sl_ 2$$. Zbl 0876.57013
Chmutov, S. V.; Varchenko, A. N.
1997
Algebraic Bethe ansatz for the elliptic quantum group $$E_{\tau,\eta} (sl_2$$). Zbl 0925.17020
Felder, Giovanni; Varchenko, Alexander
1996
Asymptotic Hodge structure in vanishing cohomologies. Zbl 0476.14002
Varchenko, A. N.
1981
Special functions, KZ type equations, and representation theory. Zbl 1053.33001
Varchenko, Alexander
2003
Bispectral and $$(\mathfrak{gl}_N,\mathfrak{gl}_M)$$ dualities, discrete versus differential. Zbl 1142.82005
Mukhin, E.; Tarasov, V.; Varchenko, A.
2008
Difference equations compatible with trigonometric KZ differential equations. Zbl 0971.39009
Tarasov, V.; Varchenko, A.
2000
Norm of a Bethe vector and the Hessian of the master function. Zbl 1072.82012
Mukhin, Evgeny; Varchenko, Alexander
2005
Duality for Knizhnik-Zamolodchikov and dynamical equations. Zbl 1013.17006
Tarasov, V.; Varchenko, A.
2002
Bethe algebra of homogeneous $$XXX$$ Heisenberg model has simple spectrum. Zbl 1173.82006
Mukhin, E.; Tarasov, V.; Varchenko, A.
2009
Aomoto dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangles on the plane. Zbl 0737.14003
Beilinson, A. A.; Goncharov, A. B.; Schechtman, V. V.; Varchenko, A. N.
1990
Bilinear form of real configuration of hyperplanes. Zbl 0777.52006
Varchenko, Alexandre
1993
Trigonometric weight functions as $$K$$-theoretic stable envelope maps for the cotangent bundle of a flag variety. Zbl 1349.19002
Rimányi, R.; Tarasov, V.; Varchenko, A.
2015
Critical points of the product of powers of linear functions and families of bases of singular vectors. Zbl 0842.17044
Varchenko, A.
1995
Number of lattice points in families of homothetic domains in $$R^ n$$. Zbl 0522.10031
Varchenko, A. N.
1983
Integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equations. Zbl 0840.17020
Felder, Giovanni; Varchenko, Alexander
1995
Hypergeometric solutions of Knizhnik-Zamolodchikov equations. Zbl 0719.35079
Shekhtman, V. V.; Varchenko, A. N.
1990
On semicontinuity of the spectrum and an upper estimate for the number of singular points of a projective hypersurface. Zbl 0537.14003
Varchenko, A. N.
1983
Traces of intertwiners for quantum groups and difference equations. I. Zbl 1004.17006
Etingof, Pavel; Varchenko, Alexander
2000
The asymptotics of holomorphic forms determine a mixed Hodge structure. Zbl 0516.14007
Varchenko, A. N.
1980
Topological conformal field theories and the flat coordinates. Zbl 0802.53034
Blok, B.; Varchenko, A.
1992
Solutions of the elliptic qKZB equations and Bethe ansatz. I. Zbl 0884.65127
Felder, T. G.; Tarasov, V.; Varchenko, A.
1997
An estimate of the number of zeros of an Abelian integral depending on a parameter and limiting cycles. Zbl 0545.58038
Varchenko, A. N.
1984
The Euler beta-function, the Vandermonde determinant, Legendre’s equation, and critical values of linear functions on a configuration of hyperplanes. I. Zbl 0709.33001
Varchenko, A. N.
1990
Combinatorial formulae for nested Bethe vectors. Zbl 1288.82024
Tarasov, Vitaly; Varchenko, Alexander
2013
Partial flag varieties, stable envelopes, and weight functions. Zbl 1361.14030
Rimányi, Richárd; Tarasov, Vitaly; Varchenko, Alexander
2015
Jackson integral representations for solutions of the quantized Knizhnik- Zamolodchikov equation. Zbl 0818.33012
Varchenko, A. N.; Tarasov, V. O.
1994
Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations for $$q$$-hypergeometric functions. Zbl 0807.17014
Varchenko, Alexander
1994
Gauss-Manin connection of isolated singular point and Bernstein polynomial. Zbl 0434.32008
Varchenko, Alexandre N.
1980
Multiple orthogonal polynomials and a counterexample to the Gaudin Bethe ansatz conjecture. Zbl 1127.82019
Mukhin, E.; Varchenko, A.
2007
Critical points of functions, $${\mathfrak {sl}}_2$$ representations, and Fuchsian differential equations with only univalued solutions. Zbl 1039.34077
Scherbak, I.; Varchenko, A.
2003
Selberg-type integrals associated with $$\mathfrak{sl}_3$$. Zbl 1055.33016
Tarasov, V.; Varchenko, A.
2003
Quantum integrable model of an arrangement of hyperplanes. Zbl 1217.82026
Varchenko, Alexander
2011
Elliptic and $$K$$-theoretic stable envelopes and Newton polytopes. Zbl 1452.55009
Rimányi, R.; Tarasov, V.; Varchenko, A.
2019
Remarks on critical points of phase functions and norms of Bethe vectors. Zbl 1040.17001
Mukhin, Evgeny; Varchenko, Alexander
2000
A generalization of the Capelli identity. Zbl 1287.17026
Mukhin, E.; Tarasov, V.; Varchenko, A.
2009
A lower bound for the codimension of the strata mu=const in terms of the mixed Hodge structure. Zbl 0511.32004
Varchenko, A. N.
1982
Three-dimensional mirror self-symmetry of the cotangent bundle of the full flag variety. Zbl 1451.53116
Rimányi, Richárd; Smirnov, Andrey; Varchenko, Alexander; Zhou, Zijun
2019
On reality property of Wronski maps. Zbl 1181.81065
Mukhin, E.; Tarasov, V.; Varchenko, A.
2009
Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations. Zbl 1038.32500
Felder, G.; Tarasov, V.; Varchenko, A.
1999
Solutions to the $$XXX$$ type Bethe ansatz equations and flag varieties. Zbl 1029.82008
Mukhin, E.; Varchenko, A.
2003
KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians. Zbl 1269.82018
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
2012
Equivariant Chern-Schwartz-MacPherson classes in partial flag varieties: interpolation and formulae. Zbl 1391.14108
Rimányi, Richárd; Varchenko, Alexander
2018
On algebraic equations satisfied by hypergeometric correlators in WZW models. I. Zbl 0835.17019
Feigin, Boris; Schechtman, Vadim; Varchenko, Alexander
1994
Bispectral and $$(\mathfrak{gl}_{N},\mathfrak{gl}_{M})$$ dualities. Zbl 1156.82005
Mukhin, Evgenii E.; Tarasov, Vitaly O.; Varchenko, Alexander N.
2006
Three formulae for eigenfunctions of integrable Schrödinger operators. Zbl 0907.17004
Felder, Giovanni; Varchenko, Alexander
1997
The determinant formula for a matroid bilinear form. Zbl 0918.05038
Brylawski, T.; Varchenko, A.
1997
Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of $$\mathfrak{gl}_{N}$$. Zbl 1219.82121
Mukhin, E.; Tarasov, V.; Varchenko, A.
2011
Extended Joseph polynomials, quantized conformal blocks, and a $$q$$-Selberg type integral. Zbl 1254.22013
Rimányi, Richard; Tarasov, Vitaly O.; Varchenko, A.; Zinn-Justin, Paul
2012
Elliptic quantum groups and Ruijsenaars models. Zbl 0924.17011
Felder, Giovanni; Varchenko, Alexander
1997
Spaces of quasi-exponentials and representations of $$\mathfrak{gl}_N$$. Zbl 1142.81011
Mukhin, E.; Tarasov, V.; Varchenko, A.
2008
Combinatorics and topology of the situation of affine hyperplanes in real space. Zbl 0615.52005
Varchenko, A. N.
1987
Traces of intertwiners for quantum groups and difference equations. Zbl 1018.17013
Etingof, P.; Schiffmann, O.; Varchenko, A.
2002
Asymptotics of integrals over vanishing cycles and the Newton polyhedron. Zbl 0595.32012
Varchenko, A. N.; Khovanskij, A. G.
1985
Quasi-polynomials and the Bethe ansatz. Zbl 1138.82010
Mukhin, E.; Varchenko, A.
2008
The Euler beta-function, the Vandermonde determinant, the Legendre equation, and critical values of linear functions on a configuration of hyperplanes. I. Zbl 0695.33004
Varchenko, A. N.
1989
Bethe eigenvectors of higher transfer matrices. Zbl 1456.82301
Mukhin, E.; Tarasov, V.; Varchenko, A.
2006
On algebraic equations satisfied by hypergeometric correlators in WZW models. II. Zbl 0842.17043
Feigin, Boris; Schechtman, Vadim; Varchenko, Alexander
1995
Asymptotic solutions to the quantized Knizhnik-Zamolodchikov equation and Bethe vectors. Zbl 0883.17021
Tarasov, V. O.; Varchenko, A. N.
1996
Elliptic Selberg integrals and conformal blocks. Zbl 1041.33003
Felder, G.; Stevens, L.; Varchenko, A.
2003
Multidimensional hypergeometric functions in conformal field theory, algebraic $$K$$-theory, algebraic geometry. Zbl 0747.33002
Varchenko, Alexandre
1991
Critical points and resonance of hyperplane arrangements. Zbl 1228.32028
Cohen, D.; Denham, G.; Falk, M.; Varchenko, A.
2011
Generating operator of $$XXX$$ or Gaudin transfer matrices has quasi-exponential kernel. Zbl 1140.82015
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
2007
Bethe ansatz for arrangements of hyperplanes and the Gaudin model. Zbl 1375.32050
Varchenko, Alexander
2006
A lower bound for the codimension of the stratum mu=const in terms of the mixed Hodge structure. Zbl 0517.32004
Varchenko, A. N.
1982
Miura opers and critical points of master functions. Zbl 1108.82011
Mukhin, Evgeny; Varchenko, Alexander
2005
Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety. Zbl 1294.82016
Tarasov, Vitaly; Varchenko, Alexander
2014
Bethe algebra of Gaudin model, Calogero-Moser space, and Cherednik algebra. Zbl 1304.82021
Mukhin, E.; Tarasov, V.; Varchenko, A.
2014
Heaviside functions of a configuration of hyperplanes. Zbl 0664.14030
Varchenko, A. N.; Gel’fand, I. M.
1987
Dynamical differential equations compatible with rational qKZ equations. Zbl 1064.32012
Tarasov, V.; Varchenko, A.
2005
Spaces of quasi-exponentials and representations of the Yangian $$Y(\mathfrak{gl}_N)$$. Zbl 1365.17006
Mukhin, E.; Tarasov, V.; Varchenko, A.
2014
Elliptic dynamical quantum groups and equivariant elliptic cohomology. Zbl 1423.17015
Felder, Giovanni; Rimányi, Richárd; Varchenko, Alexander
2018
The $$q$$-deformed Knizhnik-Zamolodchikov-Bernard heat equation. Zbl 1057.32006
Felder, Giovanni; Varchenko, Alexander
2001
Completeness of Bethe vectors and difference equations with regular singular points. Zbl 0860.17022
Tarasov, Vitaly; Varchenko, Alexander
1995
Three-dimensional mirror symmetry and elliptic stable envelopes. Zbl 07556079
Rimányi, Richárd; Smirnov, Andrey; Zhou, Zijun; Varchenko, Alexander
2022
Equivariant quantum differential equation, Stokes bases, and $$K$$-theory for a projective space. Zbl 1475.14111
Tarasov, Vitaly; Varchenko, Alexander
2021
Equivariant quantum differential equation and $$qKZ$$ equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and B-Theorem. Zbl 1466.14060
Cotti, Giordano; Varchenko, Alexander
2021
The $$\mathbb{F}_p$$-Selberg integral of type $$A_n$$. Zbl 1487.33018
Rimányi, Richárd; Varchenko, Alexander
2021
An invariant subbundle of the KZ connection mod $$p$$ and reducibility of $$\widehat{{\mathfrak{sl}_2}}$$ Verma modules mod $$p$$. Zbl 1490.81090
Varchenko, A.
2021
Hypergeometric integrals modulo $$p$$ and Hasse-Witt matrices. Zbl 1477.13016
2021
Hyperelliptic integrals modulo $$p$$ and Cartier-Manin matrices. Zbl 1456.14036
Varchenko, Alexander
2020
Elliptic and $$K$$-theoretic stable envelopes and Newton polytopes. Zbl 1452.55009
Rimányi, R.; Tarasov, V.; Varchenko, A.
2019
Three-dimensional mirror self-symmetry of the cotangent bundle of the full flag variety. Zbl 1451.53116
Rimányi, Richárd; Smirnov, Andrey; Varchenko, Alexander; Zhou, Zijun
2019
Solutions of KZ differential equations modulo $$p$$. Zbl 1416.81080
2019
Potentials of a family of arrangements of hyperplanes and elementary subarrangements. Zbl 1425.32025
Prudhom, Andrew; Varchenko, Alexander
2019
$$q$$-hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem. Zbl 1419.82020
Tarasov, Vitaly; Varchenko, Alexander
2019
Twisted de Rham complex on line and singular vectors in $$\widehat{\mathfrak{sl}_2}$$ Verma modules. Zbl 1460.17029
2019
Equivariant Chern-Schwartz-MacPherson classes in partial flag varieties: interpolation and formulae. Zbl 1391.14108
Rimányi, Richárd; Varchenko, Alexander
2018
Elliptic dynamical quantum groups and equivariant elliptic cohomology. Zbl 1423.17015
Felder, Giovanni; Rimányi, Richárd; Varchenko, Alexander
2018
Remarks on the Gaudin model modulo $$p$$. Zbl 1405.17019
Varchenko, Alexander
2018
Potentials of a Frobenius-like structure. Zbl 1391.05073
Hertling, Claus; Varchenko, Alexander
2018
Solutions modulo $$p$$ of Gauss-Manin differential equations for multidimensional hypergeometric integrals and associated Bethe ansatz. Zbl 1406.33013
Varchenko, Alexander
2017
Self-dual Grassmannian, Wronski map, and representations of $$\mathfrak{gl}_N$$, $$\mathfrak{sp}_{2r}$$, $$\mathfrak{so}_{2r+1}$$. Zbl 1437.17002
Lu, Kang; Mukhin, E.; Varchenko, A.
2017
Rational differential forms on the line and singular vectors in Verma modules over $$\widehat{\mathfrak {sl}}_2$$. Zbl 1460.17028
2017
On the Gaudin model associated to Lie algebras of classical types. Zbl 1353.82024
Lu, Kang; Mukhin, E.; Varchenko, A.
2016
Dynamical Gelfand-Zetlin algebra and equivariant cohomology of Grassmannians. Zbl 1380.81167
Rimanyi, R.; Varchenko, A.
2016
On axioms of Frobenius like structure in the theory of arrangements. Zbl 1400.37087
Varchenko, Alexander
2016
Trigonometric weight functions as $$K$$-theoretic stable envelope maps for the cotangent bundle of a flag variety. Zbl 1349.19002
Rimányi, R.; Tarasov, V.; Varchenko, A.
2015
Partial flag varieties, stable envelopes, and weight functions. Zbl 1361.14030
Rimányi, Richárd; Tarasov, Vitaly; Varchenko, Alexander
2015
Arrangements and Frobenius like structures. Zbl 1349.53114
Varchenko, Alexander
2015
Critical set of the master function and characteristic variety of the associated Gauss-Manin differential equations. Zbl 1323.32024
Varchenko, A.
2015
Populations of solutions to cyclotomic Bethe equations. Zbl 1341.82025
Varchenko, Alexander; Young, Charles A. S.
2015
Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety. Zbl 1294.82016
Tarasov, Vitaly; Varchenko, Alexander
2014
Bethe algebra of Gaudin model, Calogero-Moser space, and Cherednik algebra. Zbl 1304.82021
Mukhin, E.; Tarasov, V.; Varchenko, A.
2014
Spaces of quasi-exponentials and representations of the Yangian $$Y(\mathfrak{gl}_N)$$. Zbl 1365.17006
Mukhin, E.; Tarasov, V.; Varchenko, A.
2014
Vladimir I. Arnold – Collected works. Vol. II. Hydrodynamics, bifurcation theory, and algebraic geometry 1965–1972. Edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev and Oleg Ya. Viro. Zbl 1354.01038
2014
Critical points of master functions and integrable hierarchies. Zbl 1311.37052
Varchenko, A.; Wright, D.
2014
Cohomology classes of conormal bundles of Schubert varieties and Yangian weight functions. Zbl 1328.14082
Rimányi, R.; Tarasov, V.; Varchenko, A.
2014
On the number of populations of critical points of master functions. Zbl 1382.17015
Mukhin, Evgeny; Varchenko, Alexander
2014
Critical points of master functions and the mKdV hierarchy of type $$A_2^{(2)}$$. Zbl 1332.82026
Varchenko, A.; Woodruff, T.; Wright, D.
2014
BGG resolutions via configuration spaces. (Résolutions BGG via les espaces de configurations.) Zbl 1323.55013
Falk, Michael; Schechtman, Vadim; Varchenko, Alexander
2014
Characteristic variety of the Gauss-Manin differential equations of a generic parallelly translated arrangement. Zbl 1311.58003
Varchenko, Alexander
2014
Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra. Zbl 1287.81063
Gorbounov, V.; Rimányi, R.; Tarasov, V.; Varchenko, A.
2013
Combinatorial formulae for nested Bethe vectors. Zbl 1288.82024
Tarasov, Vitaly; Varchenko, Alexander
2013
Bethe subalgebras of the group algebra of the symmetric group. Zbl 1276.82014
Mukhin, E.; Tarasov, V.; Varchenko, A.
2013
Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol’d. Reprint of the 1985 hardback edition. Zbl 1290.58001
Arnold, V. I.; Gusein-Zade, S. M.; Varchenko, A. N.
2012
Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi. Reprint of the 1988 hardback edition. Zbl 1297.32001
Arnold, V. I.; Gusein-Zade, S. M.; Varchenko, A. N.
2012
KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians. Zbl 1269.82018
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
2012
Extended Joseph polynomials, quantized conformal blocks, and a $$q$$-Selberg type integral. Zbl 1254.22013
Rimányi, Richard; Tarasov, Vitaly O.; Varchenko, A.; Zinn-Justin, Paul
2012
Cohomology of the complement to an elliptic arrangement. Zbl 1276.14081
Levin, Andrey; Varchenko, Alexander
2012
Reality property of discrete Wronski map with imaginary step. Zbl 1299.81027
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
2012
Three sides of the geometric Langlands correspondence for $$\mathfrak{gl}_N$$ Gaudin model and Bethe vector averaging maps. Zbl 1260.82025
Mukhin, Eugene; Tarasov, Vitaly; Varchenko, Alexander
2012
The contravariant form on singular vectors of a projective arrangement. Zbl 1400.14138
Falk, Michael J.; Varchenko, Alexander N.
2012
Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor. Zbl 1274.14025
Arinkin, Dimitry; Varchenko, Alexander
2012
Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 1255.58002
Arnold, V. I.; Varchenko, A. N.; Givental, A. B.; Khovanskii, A. G.
2012
Vanishing products of one-forms and critical points of master functions. Zbl 1260.32007
Cohen, Daniel C.; Denham, Graham; Falk, Michael; Varchenko, Alexander
2012
Quantum integrable model of an arrangement of hyperplanes. Zbl 1217.82026
Varchenko, Alexander
2011
Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of $$\mathfrak{gl}_{N}$$. Zbl 1219.82121
Mukhin, E.; Tarasov, V.; Varchenko, A.
2011
Critical points and resonance of hyperplane arrangements. Zbl 1228.32028
Cohen, D.; Denham, G.; Falk, M.; Varchenko, A.
2011
Conformal blocks and equivariant cohomology. Zbl 1259.81080
Rimányi, Richárd; Schechtman, Vadim; Varchenko, Alexander
2011
Conformal blocks in the tensor product of vector representations and localization formulas. Zbl 1228.81250
Rimányi, R.; Varchenko, A.
2011
Bethe algebra of the $${\mathfrak {gl}}_{N+1}$$ Gaudin model and algebra of functions on the critical set of the master function. Zbl 1221.82038
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
2011
Cohomology of a flag variety as a Bethe algebra. Zbl 1271.14072
Rimányi, R.; Schechtman, V.; Tarasov, V.; Varchenko, A.
2011
A Selberg integral type formula for an $$\mathfrak {sl}_{2}$$ one-dimensional space of conformal blocks. Zbl 1222.81259
Varchenko, A.
2010
The Euler adic dynamical system and path counts in the Euler graph. Zbl 1213.37008
Petersen, Karl; Varchenko, Alexander
2010
Vladimir I. Arnold – Collected works. Vol. I. Representations of functions, celestial mechanics, and KAM theory 1957-1965. Edited by Alexander B. Givental, Boris A. Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vissilev, Oleg Ya. Viro and Vladimir M. Zakalyukin. Zbl 1187.01033
2010
Schubert calculus and representations of the general linear group. Zbl 1205.17026
Mukhin, E.; Tarasov, V.; Varchenko, A.
2009
The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz. Zbl 1213.14101
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
2009
Bethe algebra of homogeneous $$XXX$$ Heisenberg model has simple spectrum. Zbl 1173.82006
Mukhin, E.; Tarasov, V.; Varchenko, A.
2009
A generalization of the Capelli identity. Zbl 1287.17026
Mukhin, E.; Tarasov, V.; Varchenko, A.
2009
On reality property of Wronski maps. Zbl 1181.81065
Mukhin, E.; Tarasov, V.; Varchenko, A.
2009
On separation of variables and completeness of the Bethe ansatz for quantum $$\mathfrak{gl}_N$$ Gaudin model. Zbl 1158.81336
Mukhin, E.; Tarasov, V.; Varchenko, A.
2009
Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064
Abramov, A. M.; Arnol&rsquo;d, V. I.; Bolsinov, A. V.; Varchenko, A. N.; Galgani, L.; Zhilinskii, B. I.; Il&rsquo;yashenko, Yu. S.; Kozlov, Valerii V.; Neishtadt, Anatolii I.; Piterbarg, Vladimir I.; Khovanskii, Askold G.; Yashchenko, Valerii V.
2009
Bispectral and $$(\mathfrak{gl}_N,\mathfrak{gl}_M)$$ dualities, discrete versus differential. Zbl 1142.82005
Mukhin, E.; Tarasov, V.; Varchenko, A.
2008
Spaces of quasi-exponentials and representations of $$\mathfrak{gl}_N$$. Zbl 1142.81011
Mukhin, E.; Tarasov, V.; Varchenko, A.
2008
Quasi-polynomials and the Bethe ansatz. Zbl 1138.82010
Mukhin, E.; Varchenko, A.
2008
Bethe algebra and the algebra of functions on the space of differential operators of order two with polynomial kernel. Zbl 1171.82008
Mukhin, E.; Tarasov, V.; Varchenko, A.
2008
Multiple orthogonal polynomials and a counterexample to the Gaudin Bethe ansatz conjecture. Zbl 1127.82019
Mukhin, E.; Varchenko, A.
2007
Generating operator of $$XXX$$ or Gaudin transfer matrices has quasi-exponential kernel. Zbl 1140.82015
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander
2007
Poincaré-Birkhoff-Witt expansions of the canonical elliptic differential form. Zbl 1132.33322
Felder, G.; Rimányi, R.; Varchenko, A.
2007
Higher Lamé equations and critical points of master functions. Zbl 1204.34122
Mukhin, E.; Tarasov, V.; Varchenko, A.
2007
On a new form of Bethe ansatz equations and separation of variables in the $$\mathfrak{sl}_3$$ Gaudin model. Zbl 1154.82308
Mukhin, E.; Schechtman, V.; Tarasov, V.; Varchenko, A.
2007
Multiplicity of critical points of master functions and Schubert calculus. Zbl 1356.14042
Belkale, Prakash; Mukhin, Evgeny; Varchenko, Alexander
2007
Resonance relations, holomorphic trace functions and hypergeometric solutions to qKZB and MacDonald-Ruijsenaars equations. Zbl 1149.17010
Styrkas, K.; Varchenko, A.
2007
Bispectral and $$(\mathfrak{gl}_{N},\mathfrak{gl}_{M})$$ dualities. Zbl 1156.82005
Mukhin, Evgenii E.; Tarasov, Vitaly O.; Varchenko, Alexander N.
2006
Bethe eigenvectors of higher transfer matrices. Zbl 1456.82301
Mukhin, E.; Tarasov, V.; Varchenko, A.
2006
Bethe ansatz for arrangements of hyperplanes and the Gaudin model. Zbl 1375.32050
Varchenko, Alexander
2006
Quiver $$D$$-modules and homology of local systems over an arrangement of hyperplanes. Zbl 1116.32005
Khoroshkin, S.; Varchenko, A.
2006
Norm of a Bethe vector and the Hessian of the master function. Zbl 1072.82012
Mukhin, Evgeny; Varchenko, Alexander
2005
Miura opers and critical points of master functions. Zbl 1108.82011
Mukhin, Evgeny; Varchenko, Alexander
2005
Dynamical differential equations compatible with rational qKZ equations. Zbl 1064.32012
Tarasov, V.; Varchenko, A.
2005
Populations of solutions of the $$XXX$$ Bethe equations associated to Kac-Moody algebras. Zbl 1173.82316
Mukhin, E.; Varchenko, A.
2005
Combinatorics of rational functions and Poincaré- Birchoff-Witt expansions of the canonical $$U ({\mathfrak n}\_)$$-valued differential form. Zbl 1088.33007
Rimányi, R.; Stevens, L.; Varchenko, A.
2005
Discrete Miura opers and solutions of the Bethe ansatz equations. Zbl 1127.82020
Mukhin, Evgeny; Varchenko, Alexander
2005
Orthogonality and the qKZB-heat equation for traces of $$U_q({\mathfrak g})$$-intertwiners. Zbl 1160.17305
Etingof, P.; Varchenko, A.
2005
Multiplication formulae for the elliptic gamma function. Zbl 1195.33233
Felder, Giovanni; Varchenko, Alexander
2005
Identities between $$q$$-hypergeometric and hypergeometric integrals of different dimensions. Zbl 1113.33015
Tarasov, V.; Varchenko, A.
2005
Even powers of divisors and elliptic zeta values. Zbl 1117.11046
Felder, Giovanni; Varchenko, Alexander
2005
Identities for hypergeometric integrals of different dimensions. Zbl 1088.33009
Tarasov, V.; Varchenko, A.
2005
Critical points of master functions and flag varieties. Zbl 1050.17022
Mukhin, E.; Varchenko, A.
2004
Hypergeometric theta functions and elliptic Macdonald polynomials. Zbl 1073.33013
Felder, Giovanni; Varchenko, Alexander
2004
How to regularize singular vectors and kill the dynamical Weyl group. Zbl 1046.17004
Styrkas, K.; Tarasov, V.; Varchenko, A.
2004
Special functions, KZ type equations, and representation theory. Zbl 1053.33001
Varchenko, Alexander
2003
Critical points of functions, $${\mathfrak {sl}}_2$$ representations, and Fuchsian differential equations with only univalued solutions. Zbl 1039.34077
Scherbak, I.; Varchenko, A.
2003
...and 125 more Documents
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### Cited by 1,736 Authors

 89 Varchenko, Alexander Nikolaevich 37 Tarasov, Vitaly Olegovich 30 Mukhin, Evgeny 19 Rimányi, Richárd 18 Greenblatt, Michael 18 Saito, Morihiko 17 Dimca, Alexandru 16 Felder, Giovanni 15 Etingof, Pavel Il’ich 14 Denham, Graham 13 Schechtman, Vadim 12 Feĭgin, Boris L’vovich 12 Reshetikhin, Nikolai Yu. 11 Gusein-Zade, Sabir M. 11 Morozov, Alexei Yurievich 10 Khoroshkin, Sergey M. 10 Mimachi, Katsuhisa 10 Mudrov, Andrey I. 10 Pakuliak, Stanislav Z. 10 Smirnov, Andrey V. 10 Spiridonov, Vyacheslav Pavlovich 10 Zotov, Andrei V. 9 Cohen, Daniel C. 9 Janeczko, Stanisław 9 Mironov, Andrei D. 9 Novikov, Dmitry 9 Ragoucy, Eric 9 Stokman, Jasper V. 9 Vasil’ev, Viktor Anatol’evich 9 Vicedo, Benoît 8 Frenkel, Edward V. 8 Manojlović, Nenad 8 Skrypnyk, Taras Volodymyrovych 8 Terao, Hiroaki 8 Weber, Andrzej 8 Yakovenko, Sergei 8 Zabrodin, Anton V. 7 Aomoto, Kazuhiko 7 Awata, Hidetoshi 7 Ebeling, Wolfgang 7 Han, Maoan 7 Ikromov, Isroil A. 7 Izumiya, Shyuichi 7 Loeser, François 7 Milanov, Todor E. 7 Némethi, András 7 Orlik, Peter 7 Suciu, Alexander I. 7 Warnaar, S. Ole 7 Zinn-Justin, Paul 6 Belkale, Prakash 6 Bivià-Ausina, Carles 6 Budur, Nero 6 Gustafsson, Bjorn 6 Hertling, Claus 6 Ito, Masahiko 6 Kamimoto, Joe 6 Koroteev, Peter 6 Lichtin, Ben 6 Mardešić, Pavao 6 Maxim, Laurentiu G. 6 Putinar, Mihai 6 Rybnikov, Leonid Grigor’evich 6 Salom, Igor 6 Sottile, Frank 6 Steenbrink, Joseph H. M. 6 Yoshinaga, Masahiko 6 Young, Charles A. S. 6 Zenkevich, Yegor 5 Albeverio, Sergio A. 5 António, N. Cirilo 5 Colzani, Leonardo 5 Cox, Ben Lewis 5 Crowdy, Darren Gregory 5 Davydov, Alekseĭ Aleksandrovich 5 Eremenko, Alexandre Émmanuilovich 5 Falk, Michael J. 5 Fehér, László Gy. 5 Frenkel, Igor B. 5 Gawȩdzki, Krzysztof 5 Givental, Alexander Borisovich 5 Gromov, Nikolay A. 5 Kanno, Hiroaki 5 Langmann, Edwin 5 Leksin, Vladimir Pavlovich 5 Lima-Santos, Antonio 5 Loutsenko, Igor M. 5 Lu, Kang 5 Motegi, Kohei 5 Movasati, Hossein 5 Nazarov, Maxim Leonidovich 5 Nose, Toshihiro 5 Noumi, Masatoshi 5 Sabbah, Claude 5 Schulze, Mathias 5 Shen, Yefeng 5 Slavnov, Nikita A. 5 Tajima, Shinichi 5 Toledano Laredo, Valerio 5 van Diejen, Jan Felipe ...and 1,636 more Authors
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### Cited in 282 Serials

 92 Communications in Mathematical Physics 78 Journal of High Energy Physics 76 Advances in Mathematics 57 Journal of Mathematical Physics 47 Letters in Mathematical Physics 47 Nuclear Physics. B 41 Duke Mathematical Journal 41 Functional Analysis and its Applications 39 Annales de l’Institut Fourier 35 Transactions of the American Mathematical Society 34 Journal of Algebra 34 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 28 Journal of Mathematical Sciences (New York) 27 Theoretical and Mathematical Physics 27 Journal of Geometry and Physics 27 Compositio Mathematica 27 Inventiones Mathematicae 26 Selecta Mathematica. New Series 23 Journal of Differential Equations 21 Topology and its Applications 18 Mathematische Annalen 17 Mathematische Zeitschrift 16 Mathematical Notes 16 Proceedings of the American Mathematical Society 14 Journal of Mathematical Analysis and Applications 14 Journal of Soviet Mathematics 14 Advances in Applied Mathematics 14 Proceedings of the Steklov Institute of Mathematics 14 Arnold Mathematical Journal 13 Journal of Pure and Applied Algebra 13 Publications of the Research Institute for Mathematical Sciences, Kyoto University 11 Geometry & Topology 10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 10 Journal of Functional Analysis 10 Transformation Groups 10 Journal of Physics A: Mathematical and Theoretical 9 Communications in Algebra 9 Manuscripta Mathematica 9 Michigan Mathematical Journal 9 Journal of Symbolic Computation 9 International Journal of Mathematics 9 Journal of Knot Theory and its Ramifications 9 St. Petersburg Mathematical Journal 9 Annals of Mathematics. Second Series 8 International Journal of Modern Physics A 8 Israel Journal of Mathematics 8 Journal of Statistical Physics 8 Differential Geometry and its Applications 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Bulletin des Sciences Mathématiques 8 Annales Henri Poincaré 8 Algebraic & Geometric Topology 8 Journal of Singularities 7 Bulletin de la Société Mathématique de France 7 Journal of Combinatorial Theory. Series A 7 Bulletin of the American Mathematical Society. New Series 7 Indagationes Mathematicae. New Series 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Journal of Algebraic Combinatorics 7 Journal of Algebraic Geometry 7 The Journal of Fourier Analysis and Applications 7 Journal of Dynamical and Control Systems 6 Rocky Mountain Journal of Mathematics 6 Arkiv för Matematik 6 Journal of the Mathematical Society of Japan 6 Nagoya Mathematical Journal 6 Proceedings of the Japan Academy. Series A 6 Tôhoku Mathematical Journal. Second Series 6 Acta Applicandae Mathematicae 6 Physica D 6 The Journal of Geometric Analysis 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Russian Journal of Mathematical Physics 6 The Ramanujan Journal 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Computational Methods and Function Theory 5 Nonlinearity 5 Physics Letters. B 5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 5 Journal of Computational and Applied Mathematics 5 Kodai Mathematical Journal 5 Discrete & Computational Geometry 5 Forum Mathematicum 5 Regular and Chaotic Dynamics 5 Communications in Contemporary Mathematics 5 Qualitative Theory of Dynamical Systems 5 Bulletin of the Brazilian Mathematical Society. New Series 5 Analysis and Mathematical Physics 5 Forum of Mathematics, Sigma 4 Journal d’Analyse Mathématique 4 Moscow University Mathematics Bulletin 4 Reviews in Mathematical Physics 4 Acta Mathematica 4 Geometriae Dedicata 4 Memoirs of the American Mathematical Society 4 Tokyo Journal of Mathematics 4 Ergodic Theory and Dynamical Systems 4 Journal of the American Mathematical Society 4 Experimental Mathematics 4 Doklady Mathematics ...and 182 more Serials
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### Cited in 59 Fields

 510 Algebraic geometry (14-XX) 416 Quantum theory (81-XX) 386 Several complex variables and analytic spaces (32-XX) 324 Nonassociative rings and algebras (17-XX) 175 Special functions (33-XX) 173 Dynamical systems and ergodic theory (37-XX) 160 Statistical mechanics, structure of matter (82-XX) 159 Global analysis, analysis on manifolds (58-XX) 152 Differential geometry (53-XX) 132 Manifolds and cell complexes (57-XX) 130 Ordinary differential equations (34-XX) 116 Partial differential equations (35-XX) 104 Associative rings and algebras (16-XX) 93 Convex and discrete geometry (52-XX) 85 Combinatorics (05-XX) 80 Number theory (11-XX) 79 Group theory and generalizations (20-XX) 63 Algebraic topology (55-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 48 Commutative algebra (13-XX) 45 Functions of a complex variable (30-XX) 42 Difference and functional equations (39-XX) 39 Topological groups, Lie groups (22-XX) 37 Relativity and gravitational theory (83-XX) 33 Mechanics of particles and systems (70-XX) 31 Category theory; homological algebra (18-XX) 30 $$K$$-theory (19-XX) 28 Operator theory (47-XX) 27 Probability theory and stochastic processes (60-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 20 Fluid mechanics (76-XX) 16 Numerical analysis (65-XX) 14 Approximations and expansions (41-XX) 13 Real functions (26-XX) 13 Functional analysis (46-XX) 13 Optics, electromagnetic theory (78-XX) 13 Systems theory; control (93-XX) 12 Potential theory (31-XX) 12 Geometry (51-XX) 11 Integral transforms, operational calculus (44-XX) 11 Computer science (68-XX) 10 Measure and integration (28-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Field theory and polynomials (12-XX) 6 Mathematical logic and foundations (03-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Mechanics of deformable solids (74-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Abstract harmonic analysis (43-XX) 4 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Integral equations (45-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)

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