Edit Profile (opens in new tab) Polishchuk, Alexander Evgen’evich Co-Author Distance Author ID: polishchuk.alexander-e Published as: Polishchuk, Alexander; Polishchuk, A.; Polishchuk, A. E. more...less Further Spellings: Полищук Александр Евгеньевич Homepage: http://pages.uoregon.edu/apolish/ External Links: MGP · ORCID · Math-Net.Ru Documents Indexed: 110 Publications since 1993, including 4 Books 1 Contribution as Editor Co-Authors: 35 Co-Authors with 51 Joint Publications 788 Co-Co-Authors all top 5 Co-Authors 59 single-authored 9 Kazhdan, David 7 Lekili, Yankı 5 Vaintrob, Arkady 2 Finkelberg, Michael Vladlenovich 2 Hua, Zheng 2 Lim, Bronson 2 Moonen, Ben 2 Positselski, Leonid Efimovich 2 Zaslow, Eric 1 Abramovich, Dan 1 Arinkin, Dima 1 Beilinson, Alexander A. 1 Bondal, Alexey I. 1 Bruzzo, Ugo 1 Dyer, Ben 1 Etingof, Pavel Il’ich 1 Felder, Giovanni 1 Fisette, Robert 1 Gaitsgory, Dennis 1 Goncharov, Alexander Borisovich 1 He, Weiqiang 1 Hernández Ruipérez, Daniel 1 Johnson, Drew 1 Kim, Bumsig 1 Kuznetsov, Aleksandr Gennad’evich 1 Matviichuk, Mykola 1 Nordstrom, Ville 1 Pasol, Vicentiu 1 Rothstein, Mitchell J. 1 Samokhin, Alexander 1 Schwarz, Albert S. 1 Shen, Yefeng 1 Spielman, Daniel Alan 1 Tu, Junwu 1 Van den Bergh, Michel all top 5 Serials 11 Selecta Mathematica. New Series 8 Advances in Mathematics 8 Mathematical Research Letters 6 Compositio Mathematica 5 Journal für die Reine und Angewandte Mathematik 4 Communications in Mathematical Physics 4 Duke Mathematical Journal 3 Journal of Geometry and Physics 3 Mathematische Annalen 3 Advances in Theoretical and Mathematical Physics 3 Moscow Mathematical Journal 3 Journal of the Institute of Mathematics of Jussieu 2 Journal of Algebra 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 Journal of Algebraic Geometry 2 Russian Academy of Sciences. Izvestiya. Mathematics 2 Journal of the European Mathematical Society (JEMS) 1 Israel Journal of Mathematics 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Journal of Mathematical Sciences (New York) 1 Documenta Mathematica 1 The Ramanujan Journal 1 Homology, Homotopy and Applications 1 Advances in Geometry 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Pure and Applied Mathematics Quarterly 1 Cambridge Tracts in Mathematics 1 University Lecture Series 1 Journal of Noncommutative Geometry 1 Journal of Topology 1 Journal of \(K\)-Theory 1 Kyoto Journal of Mathematics 1 Arnold Mathematical Journal 1 Zurich Lectures in Advanced Mathematics all top 5 Fields 99 Algebraic geometry (14-XX) 37 Category theory; homological algebra (18-XX) 17 Associative rings and algebras (16-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Differential geometry (53-XX) 10 Number theory (11-XX) 9 Quantum theory (81-XX) 8 Algebraic topology (55-XX) 5 Commutative algebra (13-XX) 5 Nonassociative rings and algebras (17-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Topological groups, Lie groups (22-XX) 3 Group theory and generalizations (20-XX) 3 Functional analysis (46-XX) 2 Field theory and polynomials (12-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 1,236 times in 912 Documents Cited by ▼ Year ▼ Quadratic algebras. Zbl 1145.16009Polishchuk, Alexander; Positselski, Leonid 200 2005 Categorical mirror symmetry: The elliptic curve. Zbl 0947.14017Polishchuk, Alexander; Zaslow, Eric 63 1998 Homological properties of associative algebras: The method of helices. Zbl 0847.16010Bondal, A. I.; Polishchuk, A. E. 57 1993 Abelian varieties, theta functions, and the Fourier transform. Zbl 1018.14016Polishchuk, Alexander 57 2003 Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations. Zbl 1249.14001Polishchuk, Alexander; Vaintrob, Arkady 52 2012 Algebraic geometry of Poisson brackets. Zbl 0995.37057Polishchuk, A. 46 1997 Algebraic construction of Witten’s top Chern class. Zbl 1051.14007Polishchuk, Alexander; Vaintrob, Arkady 42 2001 Constant families of \(t\)-structures on derived categories of coherent sheaves. Zbl 1126.14021Polishchuk, A. 41 2007 Classical Yang-Baxter equation and the \(A_\infty\)-constraint. Zbl 0999.22023Polishchuk, A. 38 2002 Matrix factorizations and cohomological field theories. Zbl 1357.14024Polishchuk, Alexander; Vaintrob, Arkady 34 2016 Categories of holomorphic vector bundles on noncommutative two-tori. Zbl 1033.58009Polishchuk, A.; Schwarz, Albert 31 2003 Nearly-linear size holographic proofs. Zbl 1345.68180Polishchuk, Alexander; Spielman, Daniel A. 28 1994 Sheaves of \(t\)-structures and valuative criteria for stable complexes. Zbl 1093.14026Abramovich, Dan; Polishchuk, Alexander 28 2006 Derived equivalences of gentle algebras via Fukaya categories. Zbl 1441.14062Lekili, Yankı; Polishchuk, Alexander 24 2020 Hochschild (co)homology of the second kind. I. Zbl 1285.16005Polishchuk, Alexander; Positselski, Leonid 22 2012 Noncommutative proj and coherent algebras. Zbl 1074.14002Polishchuk, A. 22 2005 \(A_\infty\)-structures on an elliptic curve. Zbl 1075.14036Polishchuk, A. 18 2004 Witten’s top Chern class on the moduli space of higher spin curves. Zbl 1105.14010Polishchuk, Alexander 17 2004 Matrix factorizations and singularity categories for stacks. (Factorisations matricielles et catégories des singularités pour les champs algébriques.) Zbl 1278.13014Polishchuk, Alexander; Vaintrob, Arkady 16 2011 Exceptional collections on isotropic Grassmannians. Zbl 1338.14021Kuznetsov, Alexander; Polishchuk, Alexander 16 2016 Massey and Fukaya products on elliptic curves. Zbl 1060.14516Polishchuk, A. 16 2000 Fukaya category and Fourier transform. Zbl 1082.14522Arinkin, D.; Polishchuk, A. 15 2001 When is the Fourier transform of an elementary function elementary? Zbl 1037.11080Etingof, Pavel; Kazhdan, David; Polishchuk, Alexander 15 2002 Holomorphic bundles on 2-dimensional noncommutative toric orbifolds. Zbl 1103.14002Polishchuk, A. 14 2006 Arithmetic mirror symmetry for genus 1 curves with \(n\) marked points. Zbl 1373.53119Lekili, Yankı; Polishchuk, Alexander 12 2017 Massey products on cycles of projective lines and trigonometric solutions of the Yang-Baxter equations. Zbl 1237.16033Polishchuk, A. 12 2009 Minimal representations: spherical vectors and automorphic functionals. Zbl 1079.22014Kazhdan, D.; Polishchuk, A. 12 2004 Symplectic biextensions and a generalization of the Fourier-Mukai transform. Zbl 0886.14019Polishchuk, A. 12 1996 Poisson structures and birational morphisms associated with bundles on elliptic curves. Zbl 0933.14016Polishchuk, A. 12 1998 Classification of holomorphic vector bundles on noncommutative two-tori. Zbl 1048.32012Polishchuk, A. 12 2004 Homological mirror symmetry with higher products. Zbl 0999.32013Polishchuk, A. 12 2001 Auslander orders over nodal stacky curves and partially wrapped Fukaya categories. Zbl 1403.53075Lekili, Yankı; Polishchuk, Alexander 11 2018 Lefschetz type formulas for dg-categories. Zbl 1321.18007Polishchuk, Alexander 9 2014 Gluing stability conditions. Zbl 1210.18011Collins, John; Polishchuk, Alexander 9 2010 Moduli of curves as moduli of \(A_\infty\)-structures. Zbl 1401.14099Polishchuk, Alexander 9 2017 M. P. Appell’s function and vector bundles of rank 2 on elliptic curves. Zbl 1054.14522Polishchuk, A. 9 2001 Extensions of homogeneous coordinate rings to {\(A_\infty\)}-algebras. Zbl 1121.55005Polishchuk, A. 9 2003 A modular compactification of \(\mathcal{M}_{1,n}\) from \(A_ \infty\)-structures. Zbl 1435.14020Lekili, Yankı; Polishchuk, Alexander 9 2019 Moduli spaces of curves with effective \(r\)-spin structures. Zbl 1112.14028Polishchuk, A. 9 2006 Categorical mirror symmetry in the elliptic curve. Zbl 1079.14525Polishchuk, Alexander; Zaslow, Eric 8 2001 Moduli of curves, Gröbner bases, and the Krichever map. Zbl 1356.14023Polishchuk, Alexander 7 2017 \(A _{\infty }\)-algebra of an elliptic curve and Eisenstein series. Zbl 1241.14008Polishchuk, Alexander 7 2011 Fourier transform for \(D\)-algebras. I. Zbl 1069.14003Polishchuk, A.; Rothstein, M. 7 2001 \(A_{\infty }\)-algebras associated with curves and rational functions on \(\mathcal{M}_{g,g}\). I. Zbl 1315.14025Fisette, Robert; Polishchuk, Alexander 6 2014 Noncommutative two-tori with real multiplication as noncommutative projective varieties. Zbl 1085.14003Polishchuk, A. 6 2004 Universal algebraic equivalences between tautological cycles on Jacobians of curves. Zbl 1083.14030Polishchuk, A. 6 2005 On the Koszul property of the homogeneous coordinate ring of a curve. Zbl 0861.14030Polishchuk, Alexander 6 1995 Analogue of Weil representation for abelian schemes. Zbl 1065.11040Polishchuk, A. 6 2002 Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups. Zbl 1470.14037Polishchuk, Alexander; Van den Bergh, Michel 6 2019 Analogues of the exponential map associated with complex structures on noncommutative two-tori. Zbl 1127.46049Polishchuk, Alexander 6 2006 Homological mirror symmetry for higher-dimensional pairs of pants. Zbl 1467.14099Lekili, Yankı; Polishchuk, Alexander 6 2020 Perverse sheaves on a triangulated space. Zbl 0905.18007Polishchuk, A. 5 1997 Moduli of curves with nonspecial divisors and relative moduli of \(A_{\infty }\)-structures. Zbl 1441.14094Polishchuk, Alexander 5 2019 Quasicoherent sheaves on complex noncommutative two-tori. Zbl 1135.32011Polishchuk, A. 5 2007 Kernel algebras and generalized Fourier-Mukai transforms. Zbl 1214.14015Polishchuk, Alexander 4 2011 Moduli spaces of nonspecial pointed curves of arithmetic genus 1. Zbl 1386.14109Polishchuk, Alexander 4 2017 DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms. Zbl 1317.14004Polishchuk, Alexander; Tu, Junwu 4 2014 Indefinite theta series of signature \((1,1)\) from the point of view of homological mirror symmetry. Zbl 1078.11028Polishchuk, A. 4 2005 Shifted Poisson structures and moduli spaces of complexes. Zbl 1400.53070Hua, Zheng; Polishchuk, Alexander 4 2018 \(K\)-theoretic exceptional collections at roots of unity. Zbl 1217.14015Polishchuk, A. 3 2011 Rapidly convergent series for the Weierstrass zeta-function and the Kronecker function. Zbl 0987.33011Polishchuk, A. 3 2000 Generalization of a theorem of Waldspurger to nice representations. Zbl 1152.11331Kazhdan, D.; Polishchuk, A. 3 2003 Divided powers in Chow rings and integral Fourier transforms. Zbl 1236.14007Moonen, Ben; Polishchuk, Alexander 3 2010 Koszul configurations of points in projective spaces. Zbl 1100.13014Polishchuk, A. 3 2006 Lie symmetries of the Chow group of a Jacobian and the tautological subring. Zbl 1123.14002Polishchuk, A. 3 2007 Regularity of the superstring supermeasure and the superperiod map. Zbl 1484.32012Felder, Giovanni; Kazhdan, David; Polishchuk, Alexander 3 2022 Linear subspaces of minimal codimension in hypersurfaces. Zbl 07700302Kazhdan, David; Polishchuk, Alexander 3 2023 Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. II. Zbl 1202.14006Moonen, Ben; Polishchuk, Alexander 2 2010 Phases of Lagrangian-invariant objects in the derived category of an abelian variety. Zbl 1322.14041Polishchuk, Alexander 2 2014 A remark on the Fourier-Mukai transform. Zbl 0851.14019Polishchuk, A. 2 1995 Determinant bundles for Abelian schemes. Zbl 0972.14037Polishchuk, A. 2 2000 \(A_{\infty}\)-structures, Brill–Noether loci and the Fourier–Mukai transform. Zbl 1076.14039Polishchuk, A. 2 2004 Triple Massey products on curves, Fay’s trisecant identity and tangents to the canonical embedding. Zbl 1092.14036Polishchuk, A. 2 2003 Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes. Zbl 07654570Bruzzo, Ugo; Hernández Ruipérez, Daniel; Polishchuk, Alexander 2 2023 Birational models of \(\mathcal{M}_{2,2}\) arising as moduli of curves with nonspecial divisors. Zbl 1466.14030Johnson, Drew; Polishchuk, Alexander 2 2021 Contracting the Weierstrass locus to a point. Zbl 1452.14024Polishchuk, Alexander 2 2018 Homogeneity of cohomology classes associated with Koszul matrix factorizations. Zbl 1408.81030Polishchuk, Alexander 1 2016 \(A_{\infty}\)-algebras associated with elliptic curves and Eisenstein-Kronecker series. Zbl 1423.14129Polishchuk, Alexander 1 2018 Gluing of perverse sheaves on the basic affine space. With an appendix by R. Bezrukavnikov and the author. Zbl 1077.14517Polishchuk, Alexander 1 2001 Generalized character sums associated to regular prehomogeneous vector spaces. Zbl 1001.11053Kazhdan, D.; Polishchuk, A. 1 2000 Torelli theorem via Fourier-Mukai transform. Zbl 1079.14502Beilinson, Alexander A.; Polishchuk, Alexander 1 2001 Theta identities with complex multiplication. Zbl 0969.14031Polishchuk, A. 1 1999 Universal triple Massey products on elliptic curves and Hecke’s indefinite theta series. Zbl 1090.14008Pasol, V.; Polishchuk, A. 1 2005 Associative Yang-Baxter equation and Fukaya categories of square-tiled surfaces. Zbl 1420.14039Lekili, Yankı; Polishchuk, Alexander 1 2019 Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. I. Zbl 1143.14009Polishchuk, Alexander 1 2007 Full exceptional collections on the Lagrangian Grassmannians \(LG(4,8)\) and \(LG(5,10)\). Zbl 1230.14079Polishchuk, Alexander; Samokhin, Alexander 1 2011 Lagrangian-invariant sheaves and functors for abelian varieties. Zbl 1307.14023Polishchuk, Alexander 1 2012 \(A_\infty \)-structures associated with pairs of 1-spherical objects and noncommutative orders over curves. Zbl 1456.14023Polishchuk, Alexander 1 2020 Linear subspaces of minimal codimension in hypersurfaces. Zbl 07700302Kazhdan, David; Polishchuk, Alexander 3 2023 Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes. Zbl 07654570Bruzzo, Ugo; Hernández Ruipérez, Daniel; Polishchuk, Alexander 2 2023 Regularity of the superstring supermeasure and the superperiod map. Zbl 1484.32012Felder, Giovanni; Kazhdan, David; Polishchuk, Alexander 3 2022 Birational models of \(\mathcal{M}_{2,2}\) arising as moduli of curves with nonspecial divisors. Zbl 1466.14030Johnson, Drew; Polishchuk, Alexander 2 2021 Derived equivalences of gentle algebras via Fukaya categories. Zbl 1441.14062Lekili, Yankı; Polishchuk, Alexander 24 2020 Homological mirror symmetry for higher-dimensional pairs of pants. Zbl 1467.14099Lekili, Yankı; Polishchuk, Alexander 6 2020 \(A_\infty \)-structures associated with pairs of 1-spherical objects and noncommutative orders over curves. Zbl 1456.14023Polishchuk, Alexander 1 2020 A modular compactification of \(\mathcal{M}_{1,n}\) from \(A_ \infty\)-structures. Zbl 1435.14020Lekili, Yankı; Polishchuk, Alexander 9 2019 Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups. Zbl 1470.14037Polishchuk, Alexander; Van den Bergh, Michel 6 2019 Moduli of curves with nonspecial divisors and relative moduli of \(A_{\infty }\)-structures. Zbl 1441.14094Polishchuk, Alexander 5 2019 Associative Yang-Baxter equation and Fukaya categories of square-tiled surfaces. Zbl 1420.14039Lekili, Yankı; Polishchuk, Alexander 1 2019 Auslander orders over nodal stacky curves and partially wrapped Fukaya categories. Zbl 1403.53075Lekili, Yankı; Polishchuk, Alexander 11 2018 Shifted Poisson structures and moduli spaces of complexes. Zbl 1400.53070Hua, Zheng; Polishchuk, Alexander 4 2018 Contracting the Weierstrass locus to a point. Zbl 1452.14024Polishchuk, Alexander 2 2018 \(A_{\infty}\)-algebras associated with elliptic curves and Eisenstein-Kronecker series. Zbl 1423.14129Polishchuk, Alexander 1 2018 Arithmetic mirror symmetry for genus 1 curves with \(n\) marked points. Zbl 1373.53119Lekili, Yankı; Polishchuk, Alexander 12 2017 Moduli of curves as moduli of \(A_\infty\)-structures. Zbl 1401.14099Polishchuk, Alexander 9 2017 Moduli of curves, Gröbner bases, and the Krichever map. Zbl 1356.14023Polishchuk, Alexander 7 2017 Moduli spaces of nonspecial pointed curves of arithmetic genus 1. Zbl 1386.14109Polishchuk, Alexander 4 2017 Matrix factorizations and cohomological field theories. Zbl 1357.14024Polishchuk, Alexander; Vaintrob, Arkady 34 2016 Exceptional collections on isotropic Grassmannians. Zbl 1338.14021Kuznetsov, Alexander; Polishchuk, Alexander 16 2016 Homogeneity of cohomology classes associated with Koszul matrix factorizations. Zbl 1408.81030Polishchuk, Alexander 1 2016 Lefschetz type formulas for dg-categories. Zbl 1321.18007Polishchuk, Alexander 9 2014 \(A_{\infty }\)-algebras associated with curves and rational functions on \(\mathcal{M}_{g,g}\). I. Zbl 1315.14025Fisette, Robert; Polishchuk, Alexander 6 2014 DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms. Zbl 1317.14004Polishchuk, Alexander; Tu, Junwu 4 2014 Phases of Lagrangian-invariant objects in the derived category of an abelian variety. Zbl 1322.14041Polishchuk, Alexander 2 2014 Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations. Zbl 1249.14001Polishchuk, Alexander; Vaintrob, Arkady 52 2012 Hochschild (co)homology of the second kind. I. Zbl 1285.16005Polishchuk, Alexander; Positselski, Leonid 22 2012 Lagrangian-invariant sheaves and functors for abelian varieties. Zbl 1307.14023Polishchuk, Alexander 1 2012 Matrix factorizations and singularity categories for stacks. (Factorisations matricielles et catégories des singularités pour les champs algébriques.) Zbl 1278.13014Polishchuk, Alexander; Vaintrob, Arkady 16 2011 \(A _{\infty }\)-algebra of an elliptic curve and Eisenstein series. Zbl 1241.14008Polishchuk, Alexander 7 2011 Kernel algebras and generalized Fourier-Mukai transforms. Zbl 1214.14015Polishchuk, Alexander 4 2011 \(K\)-theoretic exceptional collections at roots of unity. Zbl 1217.14015Polishchuk, A. 3 2011 Full exceptional collections on the Lagrangian Grassmannians \(LG(4,8)\) and \(LG(5,10)\). Zbl 1230.14079Polishchuk, Alexander; Samokhin, Alexander 1 2011 Gluing stability conditions. Zbl 1210.18011Collins, John; Polishchuk, Alexander 9 2010 Divided powers in Chow rings and integral Fourier transforms. Zbl 1236.14007Moonen, Ben; Polishchuk, Alexander 3 2010 Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. II. Zbl 1202.14006Moonen, Ben; Polishchuk, Alexander 2 2010 Massey products on cycles of projective lines and trigonometric solutions of the Yang-Baxter equations. Zbl 1237.16033Polishchuk, A. 12 2009 Constant families of \(t\)-structures on derived categories of coherent sheaves. Zbl 1126.14021Polishchuk, A. 41 2007 Quasicoherent sheaves on complex noncommutative two-tori. Zbl 1135.32011Polishchuk, A. 5 2007 Lie symmetries of the Chow group of a Jacobian and the tautological subring. Zbl 1123.14002Polishchuk, A. 3 2007 Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. I. Zbl 1143.14009Polishchuk, Alexander 1 2007 Sheaves of \(t\)-structures and valuative criteria for stable complexes. Zbl 1093.14026Abramovich, Dan; Polishchuk, Alexander 28 2006 Holomorphic bundles on 2-dimensional noncommutative toric orbifolds. Zbl 1103.14002Polishchuk, A. 14 2006 Moduli spaces of curves with effective \(r\)-spin structures. Zbl 1112.14028Polishchuk, A. 9 2006 Analogues of the exponential map associated with complex structures on noncommutative two-tori. Zbl 1127.46049Polishchuk, Alexander 6 2006 Koszul configurations of points in projective spaces. Zbl 1100.13014Polishchuk, A. 3 2006 Quadratic algebras. Zbl 1145.16009Polishchuk, Alexander; Positselski, Leonid 200 2005 Noncommutative proj and coherent algebras. Zbl 1074.14002Polishchuk, A. 22 2005 Universal algebraic equivalences between tautological cycles on Jacobians of curves. Zbl 1083.14030Polishchuk, A. 6 2005 Indefinite theta series of signature \((1,1)\) from the point of view of homological mirror symmetry. Zbl 1078.11028Polishchuk, A. 4 2005 Universal triple Massey products on elliptic curves and Hecke’s indefinite theta series. Zbl 1090.14008Pasol, V.; Polishchuk, A. 1 2005 \(A_\infty\)-structures on an elliptic curve. Zbl 1075.14036Polishchuk, A. 18 2004 Witten’s top Chern class on the moduli space of higher spin curves. Zbl 1105.14010Polishchuk, Alexander 17 2004 Minimal representations: spherical vectors and automorphic functionals. Zbl 1079.22014Kazhdan, D.; Polishchuk, A. 12 2004 Classification of holomorphic vector bundles on noncommutative two-tori. Zbl 1048.32012Polishchuk, A. 12 2004 Noncommutative two-tori with real multiplication as noncommutative projective varieties. Zbl 1085.14003Polishchuk, A. 6 2004 \(A_{\infty}\)-structures, Brill–Noether loci and the Fourier–Mukai transform. Zbl 1076.14039Polishchuk, A. 2 2004 Abelian varieties, theta functions, and the Fourier transform. Zbl 1018.14016Polishchuk, Alexander 57 2003 Categories of holomorphic vector bundles on noncommutative two-tori. Zbl 1033.58009Polishchuk, A.; Schwarz, Albert 31 2003 Extensions of homogeneous coordinate rings to {\(A_\infty\)}-algebras. Zbl 1121.55005Polishchuk, A. 9 2003 Generalization of a theorem of Waldspurger to nice representations. Zbl 1152.11331Kazhdan, D.; Polishchuk, A. 3 2003 Triple Massey products on curves, Fay’s trisecant identity and tangents to the canonical embedding. Zbl 1092.14036Polishchuk, A. 2 2003 Classical Yang-Baxter equation and the \(A_\infty\)-constraint. Zbl 0999.22023Polishchuk, A. 38 2002 When is the Fourier transform of an elementary function elementary? Zbl 1037.11080Etingof, Pavel; Kazhdan, David; Polishchuk, Alexander 15 2002 Analogue of Weil representation for abelian schemes. Zbl 1065.11040Polishchuk, A. 6 2002 Algebraic construction of Witten’s top Chern class. Zbl 1051.14007Polishchuk, Alexander; Vaintrob, Arkady 42 2001 Fukaya category and Fourier transform. Zbl 1082.14522Arinkin, D.; Polishchuk, A. 15 2001 Homological mirror symmetry with higher products. Zbl 0999.32013Polishchuk, A. 12 2001 M. P. Appell’s function and vector bundles of rank 2 on elliptic curves. Zbl 1054.14522Polishchuk, A. 9 2001 Categorical mirror symmetry in the elliptic curve. Zbl 1079.14525Polishchuk, Alexander; Zaslow, Eric 8 2001 Fourier transform for \(D\)-algebras. I. Zbl 1069.14003Polishchuk, A.; Rothstein, M. 7 2001 Gluing of perverse sheaves on the basic affine space. With an appendix by R. Bezrukavnikov and the author. Zbl 1077.14517Polishchuk, Alexander 1 2001 Torelli theorem via Fourier-Mukai transform. Zbl 1079.14502Beilinson, Alexander A.; Polishchuk, Alexander 1 2001 Massey and Fukaya products on elliptic curves. Zbl 1060.14516Polishchuk, A. 16 2000 Rapidly convergent series for the Weierstrass zeta-function and the Kronecker function. Zbl 0987.33011Polishchuk, A. 3 2000 Determinant bundles for Abelian schemes. Zbl 0972.14037Polishchuk, A. 2 2000 Generalized character sums associated to regular prehomogeneous vector spaces. Zbl 1001.11053Kazhdan, D.; Polishchuk, A. 1 2000 Theta identities with complex multiplication. Zbl 0969.14031Polishchuk, A. 1 1999 Categorical mirror symmetry: The elliptic curve. Zbl 0947.14017Polishchuk, Alexander; Zaslow, Eric 63 1998 Poisson structures and birational morphisms associated with bundles on elliptic curves. Zbl 0933.14016Polishchuk, A. 12 1998 Algebraic geometry of Poisson brackets. Zbl 0995.37057Polishchuk, A. 46 1997 Perverse sheaves on a triangulated space. Zbl 0905.18007Polishchuk, A. 5 1997 Symplectic biextensions and a generalization of the Fourier-Mukai transform. Zbl 0886.14019Polishchuk, A. 12 1996 On the Koszul property of the homogeneous coordinate ring of a curve. Zbl 0861.14030Polishchuk, Alexander 6 1995 A remark on the Fourier-Mukai transform. Zbl 0851.14019Polishchuk, A. 2 1995 Nearly-linear size holographic proofs. Zbl 1345.68180Polishchuk, Alexander; Spielman, Daniel A. 28 1994 Homological properties of associative algebras: The method of helices. Zbl 0847.16010Bondal, A. I.; Polishchuk, A. E. 57 1993 all cited Publications top 5 cited Publications all top 5 Cited by 1,003 Authors 42 Polishchuk, Alexander Evgen’evich 12 Katzarkov, Ludmil 11 Macrì, Emanuele 11 Ruan, Yongbin 11 Zotov, Andrei V. 10 Lekili, Yankı 9 Burban, Igor 9 Van den Bergh, Michel 8 Bayer, Arend 8 He, Jiwei 8 Positselski, Leonid Efimovich 8 Schroll, Sibylle 7 Favero, David 7 Jarvis, Tyler J. 7 Kajiura, Hiroshige 7 Kuznetsov, Aleksandr Gennad’evich 7 Li, Jun 7 Lu, Jiafeng 7 van Oystaeyen, Freddy 7 Zhang, Yinhuo 6 Berger, Roland 6 Buryak, Alexandr Y. 6 Carqueville, Nils 6 Chiodo, Alessandro 6 Chirvăsitu, Alexandru 6 Lo, Jason 6 Nyman, Adam 6 Perry, Alexander R. 6 Quadrelli, Claudio 6 Toda, Yukinobu 6 Walker, Mark E. 5 Ballard, Matthew Robert 5 Belmans, Pieter 5 Ben-Bassat, Oren 5 Brown, Michael Kegan 5 Chiesa, Alessandro 5 Conner, Andrew 5 Drozd, Yuriĭ Anatoliĭovych 5 Dubois-Violette, Michel 5 Iyudu, Natalia K. 5 Kazhdan, David 5 Li, Wei-Ping 5 Meir, Or 5 Orlov, Dmitri O. 5 Pauksztello, David 5 Pioline, Boris 5 Piontkovski, Dmitri 5 Rubtsov, Vladimir Nikolaevich 5 Seidel, Paul 5 Shen, Yefeng 5 Solotar, Andrea Leonor 5 Stellari, Paolo 5 Tu, Junwu 5 Zvonkine, Dimitri 4 Ben-Sasson, Eli 4 Bernardara, Marcello 4 Cassidy, Thomas 4 Chang, Huai-Liang 4 Cho, Cheol-Hyun 4 Dotsenko, Vladimir Viktorovich 4 Efimov, Alexander I. 4 Fan, Huijun 4 Fiorot, Luisa 4 Gateva-Ivanova, Tatiana 4 Kobayashi, Kazushi 4 Lee, Sangwook 4 Levin, Andrey M. 4 Liu, Chiu-Chu Melissa 4 Lowen, Wendy 4 Mináč, Ján 4 Nguyêñ Duy Tân 4 Nikolaev, Igor Vasilievich 4 Olshanetsky, Mikhail A. 4 Plamondon, Pierre-Guy 4 Rossi, Paolo 4 Ruan, ShiQuan 4 Shkarin, Stanislav A. 4 Sibilla, Nicolò 4 Smith, S. Paul 4 Ueda, Kazushi 4 Vaintrob, Arkady 4 Walton, Chelsea 4 Zvonareva, Alexandra 3 Abouzaid, Mohammed 3 Amiot, Claire 3 Antieau, Benjamin 3 Bridgeland, Tom 3 Canakci, Ilke 3 Chan, Daniel 3 Chan, Kwokwai 3 Chen, Xiaowu 3 Clader, Emily 3 Corrêa Barros, Maurício Jun. 3 Costa, Laura 3 De Deken, Olivier 3 Dubrovin, Boris Anatol’evich 3 Dyckerhoff, Tobias 3 Etingof, Pavel Il’ich 3 Galkin, Sergeĭ 3 Goetz, Pete ...and 903 more Authors all top 5 Cited in 178 Serials 84 Journal of Algebra 80 Advances in Mathematics 30 Communications in Mathematical Physics 30 Journal of Geometry and Physics 25 Journal of Pure and Applied Algebra 25 Selecta Mathematica. New Series 23 Mathematische Zeitschrift 21 Transactions of the American Mathematical Society 19 Compositio Mathematica 18 Journal of Noncommutative Geometry 17 Communications in Algebra 16 Letters in Mathematical Physics 15 Inventiones Mathematicae 14 Duke Mathematical Journal 13 Journal of Algebraic Geometry 12 Journal für die Reine und Angewandte Mathematik 11 Proceedings of the American Mathematical Society 11 Geometry & Topology 10 Mathematische Annalen 10 Journal of the Institute of Mathematics of Jussieu 9 Journal of Mathematical Physics 9 Annales de l’Institut Fourier 9 Algebras and Representation Theory 8 International Journal of Mathematics 8 Journal of High Energy Physics 7 Manuscripta Mathematica 7 Memoirs of the American Mathematical Society 7 Documenta Mathematica 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Nuclear Physics. B 6 Geometriae Dedicata 6 Journal of the European Mathematical Society (JEMS) 6 Journal of Algebra and its Applications 6 Forum of Mathematics, Sigma 5 Indian Journal of Pure & Applied Mathematics 5 Israel Journal of Mathematics 5 Publications Mathématiques 5 Journal of Number Theory 5 Osaka Journal of Mathematics 5 Journal of the American Mathematical Society 5 Forum Mathematicum 5 Bulletin of the American Mathematical Society. New Series 5 The Ramanujan Journal 5 Algebraic & Geometric Topology 5 Journal of Physics A: Mathematical and Theoretical 5 Kyoto Journal of Mathematics 5 European Journal of Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Theoretical and Mathematical Physics 4 Bulletin of the London Mathematical Society 4 Bulletin de la Société Mathématique de France 4 Glasgow Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Topology 4 Quantum Topology 3 Information Processing Letters 3 Mathematical Notes 3 Canadian Journal of Mathematics 3 Mathematische Nachrichten 3 Pacific Journal of Mathematics 3 Proceedings of the London Mathematical Society. Third Series 3 Information and Computation 3 Differential Geometry and its Applications 3 Computational Complexity 3 Applied Categorical Structures 3 Annals of Mathematics. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Oberwolfach Reports 3 Algebra & Number Theory 3 Research in the Mathematical Sciences 2 Fortschritte der Physik 2 Collectanea Mathematica 2 Journal of Differential Geometry 2 Journal of Functional Analysis 2 Journal of the London Mathematical Society. Second Series 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 2 Theoretical Computer Science 2 Advances in Applied Mathematics 2 Bulletin of the Korean Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Journal of Symbolic Computation 2 Publicacions Matemàtiques 2 Science in China. Series A 2 Random Structures & Algorithms 2 IMRN. International Mathematics Research Notices 2 Designs, Codes and Cryptography 2 Indagationes Mathematicae. New Series 2 Transformation Groups 2 Representation Theory 2 Journal of Group Theory 2 Lobachevskii Journal of Mathematics 2 Annales Henri Poincaré 2 Moscow Mathematical Journal 2 Algebra and Discrete Mathematics 2 International Journal of Geometric Methods in Modern Physics 2 São Paulo Journal of Mathematical Sciences 2 Complex Manifolds 2 Research in Number Theory ...and 78 more Serials all top 5 Cited in 43 Fields 482 Algebraic geometry (14-XX) 301 Associative rings and algebras (16-XX) 192 Category theory; homological algebra (18-XX) 153 Differential geometry (53-XX) 95 Nonassociative rings and algebras (17-XX) 94 Quantum theory (81-XX) 65 Several complex variables and analytic spaces (32-XX) 62 Commutative algebra (13-XX) 58 Number theory (11-XX) 40 Global analysis, analysis on manifolds (58-XX) 34 Group theory and generalizations (20-XX) 31 Manifolds and cell complexes (57-XX) 30 Combinatorics (05-XX) 29 Functional analysis (46-XX) 29 Computer science (68-XX) 27 Algebraic topology (55-XX) 25 Dynamical systems and ergodic theory (37-XX) 24 Topological groups, Lie groups (22-XX) 19 Information and communication theory, circuits (94-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 \(K\)-theory (19-XX) 10 Special functions (33-XX) 10 Partial differential equations (35-XX) 10 Relativity and gravitational theory (83-XX) 9 Field theory and polynomials (12-XX) 9 Functions of a complex variable (30-XX) 5 Convex and discrete geometry (52-XX) 5 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geometry (51-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year