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: 134 Publications since 1993, including 4 Books and 16 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 43 Co-Authors with 72 Joint Publications 997 Co-Co-Authors all top 5 Co-Authors 61 single-authored 16 Kazhdan, David 7 Lekili, Yankı 5 Hua, Zheng 5 Vaintrob, Arkady 4 Braverman, Alexander 3 Felder, Giovanni 3 Rains, Eric M. 2 Bezrukavnikov, Roman 2 Finkelberg, Michael Vladlenovich 2 Lim, Bronson 2 Markarian, Nikita 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 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 Lampert, Amichai 1 Matviichuk, Mykola 1 Nordstrom, Ville 1 Pasol, Vicentiu 1 Proudfoot, Nicholas J. 1 Rothstein, Mitchell J. 1 Samokhin, Alexander 1 Schwarz, Albert S. 1 Shen, Yefeng 1 Spielman, Daniel Alan 1 Tu, Junwu 1 Vaintrob, Dmitry 1 Van den Bergh, Michel 1 Varolgunes, Umut 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 Journal of Geometry and Physics 4 Duke Mathematical Journal 4 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 Manuscripta Mathematica 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) 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Topology 1 Israel Journal of Mathematics 1 Ukrainian Mathematical Journal 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 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 Pure and Applied Mathematics Quarterly 1 Cambridge Tracts in Mathematics 1 University Lecture Series 1 Journal of Noncommutative Geometry 1 Journal of \(K\)-Theory 1 Kyoto Journal of Mathematics 1 Arnold Mathematical Journal 1 European Journal of Mathematics 1 Zurich Lectures in Advanced Mathematics all top 5 Fields 109 Algebraic geometry (14-XX) 38 Category theory; homological algebra (18-XX) 18 Associative rings and algebras (16-XX) 16 Differential geometry (53-XX) 12 Several complex variables and analytic spaces (32-XX) 10 Number theory (11-XX) 9 Quantum theory (81-XX) 8 Algebraic topology (55-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Commutative algebra (13-XX) 5 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Group theory and generalizations (20-XX) 3 Field theory and polynomials (12-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 2 Special functions (33-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 101 Publications have been cited 1,454 times in 1,078 Documents Cited by ▼ Year ▼ Quadratic algebras. Zbl 1145.16009 Polishchuk, Alexander; Positselski, Leonid 238 2005 Categorical mirror symmetry: The elliptic curve. Zbl 0947.14017 Polishchuk, Alexander; Zaslow, Eric 74 1998 Abelian varieties, theta functions, and the Fourier transform. Zbl 1018.14016 Polishchuk, Alexander 67 2003 Homological properties of associative algebras: The method of helices. Zbl 0847.16010 Bondal, A. I.; Polishchuk, A. E. 65 1993 Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations. Zbl 1249.14001 Polishchuk, Alexander; Vaintrob, Arkady 59 2012 Algebraic geometry of Poisson brackets. Zbl 0995.37057 Polishchuk, A. 50 1997 Algebraic construction of Witten’s top Chern class. Zbl 1051.14007 Polishchuk, Alexander; Vaintrob, Arkady 49 2001 Constant families of \(t\)-structures on derived categories of coherent sheaves. Zbl 1126.14021 Polishchuk, A. 46 2007 Nearly-linear size holographic proofs. Zbl 1345.68180 Polishchuk, Alexander; Spielman, Daniel A. 43 1994 Classical Yang-Baxter equation and the \(A_\infty\)-constraint. Zbl 0999.22023 Polishchuk, A. 43 2002 Matrix factorizations and cohomological field theories. Zbl 1357.14024 Polishchuk, Alexander; Vaintrob, Arkady 38 2016 Categories of holomorphic vector bundles on noncommutative two-tori. Zbl 1033.58009 Polishchuk, A.; Schwarz, Albert 32 2003 Sheaves of \(t\)-structures and valuative criteria for stable complexes. Zbl 1093.14026 Abramovich, Dan; Polishchuk, Alexander 31 2006 Derived equivalences of gentle algebras via Fukaya categories. Zbl 1441.14062 Lekili, Yankı; Polishchuk, Alexander 29 2020 Noncommutative proj and coherent algebras. Zbl 1074.14002 Polishchuk, A. 23 2005 Hochschild (co)homology of the second kind. I. Zbl 1285.16005 Polishchuk, Alexander; Positselski, Leonid 23 2012 Exceptional collections on isotropic Grassmannians. Zbl 1338.14021 Kuznetsov, Alexander; Polishchuk, Alexander 22 2016 \(A_\infty\)-structures on an elliptic curve. Zbl 1075.14036 Polishchuk, A. 20 2004 Fukaya category and Fourier transform. Zbl 1082.14522 Arinkin, D.; Polishchuk, A. 19 2001 Matrix factorizations and singularity categories for stacks. (Factorisations matricielles et catégories des singularités pour les champs algébriques.) Zbl 1278.13014 Polishchuk, Alexander; Vaintrob, Arkady 19 2011 Witten’s top Chern class on the moduli space of higher spin curves. Zbl 1105.14010 Polishchuk, Alexander 19 2004 Auslander orders over nodal stacky curves and partially wrapped Fukaya categories. Zbl 1403.53075 Lekili, Yankı; Polishchuk, Alexander 17 2018 When is the Fourier transform of an elementary function elementary? Zbl 1037.11080 Etingof, Pavel; Kazhdan, David; Polishchuk, Alexander 17 2002 Holomorphic bundles on 2-dimensional noncommutative toric orbifolds. Zbl 1103.14002 Polishchuk, A. 16 2006 Massey and Fukaya products on elliptic curves. Zbl 1060.14516 Polishchuk, A. 16 2000 Poisson structures and birational morphisms associated with bundles on elliptic curves. Zbl 0933.14016 Polishchuk, A. 15 1998 Arithmetic mirror symmetry for genus 1 curves with \(n\) marked points. Zbl 1373.53119 Lekili, Yankı; Polishchuk, Alexander 15 2017 Massey products on cycles of projective lines and trigonometric solutions of the Yang-Baxter equations. Zbl 1237.16033 Polishchuk, A. 14 2009 Homological mirror symmetry for higher-dimensional pairs of pants. Zbl 1467.14099 Lekili, Yankı; Polishchuk, Alexander 13 2020 Homological mirror symmetry with higher products. Zbl 0999.32013 Polishchuk, A. 12 2001 Symplectic biextensions and a generalization of the Fourier-Mukai transform. Zbl 0886.14019 Polishchuk, A. 12 1996 Minimal representations: spherical vectors and automorphic functionals. Zbl 1079.22014 Kazhdan, D.; Polishchuk, A. 12 2004 Gluing stability conditions. Zbl 1210.18011 Collins, John; Polishchuk, Alexander 12 2010 Classification of holomorphic vector bundles on noncommutative two-tori. Zbl 1048.32012 Polishchuk, A. 12 2004 M. P. Appell’s function and vector bundles of rank 2 on elliptic curves. Zbl 1054.14522 Polishchuk, A. 10 2001 Extensions of homogeneous coordinate rings to {\(A_\infty\)}-algebras. Zbl 1121.55005 Polishchuk, A. 10 2003 Lefschetz type formulas for dg-categories. Zbl 1321.18007 Polishchuk, Alexander 9 2014 Moduli spaces of curves with effective \(r\)-spin structures. Zbl 1112.14028 Polishchuk, A. 9 2006 Moduli of curves as moduli of \(A_\infty\)-structures. Zbl 1401.14099 Polishchuk, Alexander 9 2017 A modular compactification of \(\mathcal{M}_{1,n}\) from \(A_ \infty\)-structures. Zbl 1435.14020 Lekili, Yankı; Polishchuk, Alexander 9 2019 Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes. Zbl 07654570 Bruzzo, Ugo; Hernández Ruipérez, Daniel; Polishchuk, Alexander 9 2023 Categorical mirror symmetry in the elliptic curve. Zbl 1079.14525 Polishchuk, Alexander; Zaslow, Eric 8 2001 Analogues of the exponential map associated with complex structures on noncommutative two-tori. Zbl 1127.46049 Polishchuk, Alexander 8 2006 Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups. Zbl 1470.14037 Polishchuk, Alexander; Van den Bergh, Michel 8 2019 Shifted Poisson structures and moduli spaces of complexes. Zbl 1400.53070 Hua, Zheng; Polishchuk, Alexander 8 2018 Regularity of the superstring supermeasure and the superperiod map. Zbl 1484.32012 Felder, Giovanni; Kazhdan, David; Polishchuk, Alexander 8 2022 \(A_{\infty }\)-algebras associated with curves and rational functions on \(\mathcal{M}_{g,g}\). I. Zbl 1315.14025 Fisette, Robert; Polishchuk, Alexander 7 2014 Moduli of curves, Gröbner bases, and the Krichever map. Zbl 1356.14023 Polishchuk, Alexander 7 2017 \(A _{\infty }\)-algebra of an elliptic curve and Eisenstein series. Zbl 1241.14008 Polishchuk, Alexander 7 2011 Fourier transform for \(D\)-algebras. I. Zbl 1069.14003 Polishchuk, A.; Rothstein, M. 7 2001 Noncommutative two-tori with real multiplication as noncommutative projective varieties. Zbl 1085.14003 Polishchuk, A. 7 2004 Analogue of Weil representation for abelian schemes. Zbl 1065.11040 Polishchuk, A. 6 2002 On the Koszul property of the homogeneous coordinate ring of a curve. Zbl 0861.14030 Polishchuk, Alexander 6 1995 Universal algebraic equivalences between tautological cycles on Jacobians of curves. Zbl 1083.14030 Polishchuk, A. 6 2005 Perverse sheaves on a triangulated space. Zbl 0905.18007 Polishchuk, A. 5 1997 Quasicoherent sheaves on complex noncommutative two-tori. Zbl 1135.32011 Polishchuk, A. 5 2007 Moduli of curves with nonspecial divisors and relative moduli of \(A_{\infty }\)-structures. Zbl 1441.14094 Polishchuk, Alexander 5 2019 Indefinite theta series of signature \((1,1)\) from the point of view of homological mirror symmetry. Zbl 1078.11028 Polishchuk, A. 4 2005 \(A_\infty \)-structures associated with pairs of 1-spherical objects and noncommutative orders over curves. Zbl 1456.14023 Polishchuk, Alexander 4 2020 DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms. Zbl 1317.14004 Polishchuk, Alexander; Tu, Junwu 4 2014 Divided powers in Chow rings and integral Fourier transforms. Zbl 1236.14007 Moonen, Ben; Polishchuk, Alexander 4 2010 Kernel algebras and generalized Fourier-Mukai transforms. Zbl 1214.14015 Polishchuk, Alexander 4 2011 Linear subspaces of minimal codimension in hypersurfaces. Zbl 1527.14108 Kazhdan, David; Polishchuk, Alexander 4 2023 Moduli spaces of nonspecial pointed curves of arithmetic genus 1. Zbl 1386.14109 Polishchuk, Alexander 4 2017 Generalization of a theorem of Waldspurger to nice representations. Zbl 1152.11331 Kazhdan, D.; Polishchuk, A. 3 2003 Contracting the Weierstrass locus to a point. Zbl 1452.14024 Polishchuk, Alexander 3 2018 Shifted Poisson geometry and meromorphic matrix algebras over an elliptic curve. Zbl 1412.14008 Hua, Zheng; Polishchuk, Alexander 3 2019 Lie symmetries of the Chow group of a Jacobian and the tautological subring. Zbl 1123.14002 Polishchuk, A. 3 2007 Koszul configurations of points in projective spaces. Zbl 1100.13014 Polishchuk, A. 3 2006 \(K\)-theoretic exceptional collections at roots of unity. Zbl 1217.14015 Polishchuk, A. 3 2011 Rapidly convergent series for the Weierstrass zeta-function and the Kronecker function. Zbl 0987.33011 Polishchuk, A. 3 2000 Elliptic bihamiltonian structures from relative shifted Poisson structures. Zbl 1529.14004 Hua, Zheng; Polishchuk, Alexander 3 2023 Phases of Lagrangian-invariant objects in the derived category of an abelian variety. Zbl 1322.14041 Polishchuk, Alexander 2 2014 Determinant bundles for Abelian schemes. Zbl 0972.14037 Polishchuk, A. 2 2000 A remark on the Fourier-Mukai transform. Zbl 0851.14019 Polishchuk, A. 2 1995 Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. II. Zbl 1202.14006 Moonen, Ben; Polishchuk, Alexander 2 2010 \(A_{\infty}\)-structures, Brill–Noether loci and the Fourier–Mukai transform. Zbl 1076.14039 Polishchuk, A. 2 2004 Triple Massey products on curves, Fay’s trisecant identity and tangents to the canonical embedding. Zbl 1092.14036 Polishchuk, A. 2 2003 Birational models of \(\mathcal{M}_{2,2}\) arising as moduli of curves with nonspecial divisors. Zbl 1466.14030 Johnson, Drew; Polishchuk, Alexander 2 2021 A Landau-Ginzburg mirror theorem via matrix factorizations. Zbl 1517.81064 He, Weiqiang; Polishchuk, Alexander; Shen, Yefeng; Vaintrob, Arkady 2 2023 Homogeneity of cohomology classes associated with Koszul matrix factorizations. Zbl 1408.81030 Polishchuk, Alexander 1 2016 Theta identities with complex multiplication. Zbl 0969.14031 Polishchuk, A. 1 1999 A new look at Hecke’s indefinite theta series. Zbl 1014.11032 Polishchuk, A. 1 2001 Gluing of perverse sheaves on the basic affine space. With an appendix by R. Bezrukavnikov and the author. Zbl 1077.14517 Polishchuk, Alexander 1 2001 Atiyah class and Chern character for global matrix factorisations. Zbl 1505.14042 Kim, Bumsig; Polishchuk, Alexander 1 2022 Bondal-Orlov fully faithfulness criterion for Deligne-Mumford stacks. Zbl 1465.14023 Lim, Bronson; Polishchuk, Alexander 1 2021 Ten compatible Poisson brackets on \(\mathbb{P}^5\). Zbl 1525.53084 Nordstrom, Ville; Polishchuk, Alexander 1 2023 Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. I. Zbl 1143.14009 Polishchuk, Alexander 1 2007 Semiorthogonal decompositions of equivariant derived categories of invariant divisors. Zbl 1468.14039 Lim, Bronson; Polishchuk, Alexander 1 2020 On homological mirror symmetry for chain type polynomials. Zbl 1539.14080 Varolgunes, Umut; Polishchuk, Alexander 1 2024 \(A_{\infty}\)-algebras associated with elliptic curves and Eisenstein-Kronecker series. Zbl 1423.14129 Polishchuk, Alexander 1 2018 Lagrangian-invariant sheaves and functors for abelian varieties. Zbl 1307.14023 Polishchuk, Alexander 1 2012 Universal triple Massey products on elliptic curves and Hecke’s indefinite theta series. Zbl 1090.14008 Pasol, V.; Polishchuk, A. 1 2005 Full exceptional collections on the Lagrangian Grassmannians \(LG(4,8)\) and \(LG(5,10)\). Zbl 1230.14079 Polishchuk, Alexander; Samokhin, Alexander 1 2011 Feigin-Odesskii brackets, syzygies, and Cremona transformations. Zbl 1494.14015 Polishchuk, Alexander 1 2022 Associative Yang-Baxter equation and Fukaya categories of square-tiled surfaces. Zbl 1420.14039 Lekili, Yankı; Polishchuk, Alexander 1 2019 Torelli theorem via Fourier-Mukai transform. Zbl 1079.14502 Beilinson, Alexander A.; Polishchuk, Alexander 1 2001 Generalized character sums associated to regular prehomogeneous vector spaces. Zbl 1001.11053 Kazhdan, D.; Polishchuk, A. 1 2000 The moduli space of stable supercurves and its canonical line bundle. Zbl 1537.14016 Felder, Giovanni; Kazhdan, David; Polishchuk, Alexander 1 2023 Compatible Feigin-Odesskii Poisson brackets. Zbl 07807422 Markarian, Nikita; Polishchuk, Alexander 1 2024 On homological mirror symmetry for chain type polynomials. Zbl 1539.14080 Varolgunes, Umut; Polishchuk, Alexander 1 2024 Compatible Feigin-Odesskii Poisson brackets. Zbl 07807422 Markarian, Nikita; Polishchuk, Alexander 1 2024 De Rham cohomology for supervarieties. Zbl 07827555 Polishchuk, Alexander 1 2024 Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes. Zbl 07654570 Bruzzo, Ugo; Hernández Ruipérez, Daniel; Polishchuk, Alexander 9 2023 Linear subspaces of minimal codimension in hypersurfaces. Zbl 1527.14108 Kazhdan, David; Polishchuk, Alexander 4 2023 Elliptic bihamiltonian structures from relative shifted Poisson structures. Zbl 1529.14004 Hua, Zheng; Polishchuk, Alexander 3 2023 A Landau-Ginzburg mirror theorem via matrix factorizations. Zbl 1517.81064 He, Weiqiang; Polishchuk, Alexander; Shen, Yefeng; Vaintrob, Arkady 2 2023 Ten compatible Poisson brackets on \(\mathbb{P}^5\). Zbl 1525.53084 Nordstrom, Ville; Polishchuk, Alexander 1 2023 The moduli space of stable supercurves and its canonical line bundle. Zbl 1537.14016 Felder, Giovanni; Kazhdan, David; Polishchuk, Alexander 1 2023 Regularity of the superstring supermeasure and the superperiod map. Zbl 1484.32012 Felder, Giovanni; Kazhdan, David; Polishchuk, Alexander 8 2022 Atiyah class and Chern character for global matrix factorisations. Zbl 1505.14042 Kim, Bumsig; Polishchuk, Alexander 1 2022 Feigin-Odesskii brackets, syzygies, and Cremona transformations. Zbl 1494.14015 Polishchuk, Alexander 1 2022 Birational models of \(\mathcal{M}_{2,2}\) arising as moduli of curves with nonspecial divisors. Zbl 1466.14030 Johnson, Drew; Polishchuk, Alexander 2 2021 Bondal-Orlov fully faithfulness criterion for Deligne-Mumford stacks. Zbl 1465.14023 Lim, Bronson; Polishchuk, Alexander 1 2021 Derived equivalences of gentle algebras via Fukaya categories. Zbl 1441.14062 Lekili, Yankı; Polishchuk, Alexander 29 2020 Homological mirror symmetry for higher-dimensional pairs of pants. Zbl 1467.14099 Lekili, Yankı; Polishchuk, Alexander 13 2020 \(A_\infty \)-structures associated with pairs of 1-spherical objects and noncommutative orders over curves. Zbl 1456.14023 Polishchuk, Alexander 4 2020 Semiorthogonal decompositions of equivariant derived categories of invariant divisors. Zbl 1468.14039 Lim, Bronson; Polishchuk, Alexander 1 2020 A modular compactification of \(\mathcal{M}_{1,n}\) from \(A_ \infty\)-structures. Zbl 1435.14020 Lekili, Yankı; Polishchuk, Alexander 9 2019 Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups. Zbl 1470.14037 Polishchuk, Alexander; Van den Bergh, Michel 8 2019 Moduli of curves with nonspecial divisors and relative moduli of \(A_{\infty }\)-structures. Zbl 1441.14094 Polishchuk, Alexander 5 2019 Shifted Poisson geometry and meromorphic matrix algebras over an elliptic curve. Zbl 1412.14008 Hua, Zheng; Polishchuk, Alexander 3 2019 Associative Yang-Baxter equation and Fukaya categories of square-tiled surfaces. Zbl 1420.14039 Lekili, Yankı; Polishchuk, Alexander 1 2019 Auslander orders over nodal stacky curves and partially wrapped Fukaya categories. Zbl 1403.53075 Lekili, Yankı; Polishchuk, Alexander 17 2018 Shifted Poisson structures and moduli spaces of complexes. Zbl 1400.53070 Hua, Zheng; Polishchuk, Alexander 8 2018 Contracting the Weierstrass locus to a point. Zbl 1452.14024 Polishchuk, Alexander 3 2018 \(A_{\infty}\)-algebras associated with elliptic curves and Eisenstein-Kronecker series. Zbl 1423.14129 Polishchuk, Alexander 1 2018 Arithmetic mirror symmetry for genus 1 curves with \(n\) marked points. Zbl 1373.53119 Lekili, Yankı; Polishchuk, Alexander 15 2017 Moduli of curves as moduli of \(A_\infty\)-structures. Zbl 1401.14099 Polishchuk, Alexander 9 2017 Moduli of curves, Gröbner bases, and the Krichever map. Zbl 1356.14023 Polishchuk, Alexander 7 2017 Moduli spaces of nonspecial pointed curves of arithmetic genus 1. Zbl 1386.14109 Polishchuk, Alexander 4 2017 Matrix factorizations and cohomological field theories. Zbl 1357.14024 Polishchuk, Alexander; Vaintrob, Arkady 38 2016 Exceptional collections on isotropic Grassmannians. Zbl 1338.14021 Kuznetsov, Alexander; Polishchuk, Alexander 22 2016 Homogeneity of cohomology classes associated with Koszul matrix factorizations. Zbl 1408.81030 Polishchuk, Alexander 1 2016 Lefschetz type formulas for dg-categories. Zbl 1321.18007 Polishchuk, Alexander 9 2014 \(A_{\infty }\)-algebras associated with curves and rational functions on \(\mathcal{M}_{g,g}\). I. Zbl 1315.14025 Fisette, Robert; Polishchuk, Alexander 7 2014 DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms. Zbl 1317.14004 Polishchuk, Alexander; Tu, Junwu 4 2014 Phases of Lagrangian-invariant objects in the derived category of an abelian variety. Zbl 1322.14041 Polishchuk, Alexander 2 2014 Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations. Zbl 1249.14001 Polishchuk, Alexander; Vaintrob, Arkady 59 2012 Hochschild (co)homology of the second kind. I. Zbl 1285.16005 Polishchuk, Alexander; Positselski, Leonid 23 2012 Lagrangian-invariant sheaves and functors for abelian varieties. Zbl 1307.14023 Polishchuk, Alexander 1 2012 Matrix factorizations and singularity categories for stacks. (Factorisations matricielles et catégories des singularités pour les champs algébriques.) Zbl 1278.13014 Polishchuk, Alexander; Vaintrob, Arkady 19 2011 \(A _{\infty }\)-algebra of an elliptic curve and Eisenstein series. Zbl 1241.14008 Polishchuk, Alexander 7 2011 Kernel algebras and generalized Fourier-Mukai transforms. Zbl 1214.14015 Polishchuk, Alexander 4 2011 \(K\)-theoretic exceptional collections at roots of unity. Zbl 1217.14015 Polishchuk, A. 3 2011 Full exceptional collections on the Lagrangian Grassmannians \(LG(4,8)\) and \(LG(5,10)\). Zbl 1230.14079 Polishchuk, Alexander; Samokhin, Alexander 1 2011 Gluing stability conditions. Zbl 1210.18011 Collins, John; Polishchuk, Alexander 12 2010 Divided powers in Chow rings and integral Fourier transforms. Zbl 1236.14007 Moonen, Ben; Polishchuk, Alexander 4 2010 Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. II. Zbl 1202.14006 Moonen, Ben; Polishchuk, Alexander 2 2010 Massey products on cycles of projective lines and trigonometric solutions of the Yang-Baxter equations. Zbl 1237.16033 Polishchuk, A. 14 2009 Constant families of \(t\)-structures on derived categories of coherent sheaves. Zbl 1126.14021 Polishchuk, A. 46 2007 Quasicoherent sheaves on complex noncommutative two-tori. Zbl 1135.32011 Polishchuk, A. 5 2007 Lie symmetries of the Chow group of a Jacobian and the tautological subring. Zbl 1123.14002 Polishchuk, A. 3 2007 Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. I. Zbl 1143.14009 Polishchuk, Alexander 1 2007 Sheaves of \(t\)-structures and valuative criteria for stable complexes. Zbl 1093.14026 Abramovich, Dan; Polishchuk, Alexander 31 2006 Holomorphic bundles on 2-dimensional noncommutative toric orbifolds. Zbl 1103.14002 Polishchuk, A. 16 2006 Moduli spaces of curves with effective \(r\)-spin structures. Zbl 1112.14028 Polishchuk, A. 9 2006 Analogues of the exponential map associated with complex structures on noncommutative two-tori. Zbl 1127.46049 Polishchuk, Alexander 8 2006 Koszul configurations of points in projective spaces. Zbl 1100.13014 Polishchuk, A. 3 2006 Quadratic algebras. Zbl 1145.16009 Polishchuk, Alexander; Positselski, Leonid 238 2005 Noncommutative proj and coherent algebras. Zbl 1074.14002 Polishchuk, A. 23 2005 Universal algebraic equivalences between tautological cycles on Jacobians of curves. Zbl 1083.14030 Polishchuk, A. 6 2005 Indefinite theta series of signature \((1,1)\) from the point of view of homological mirror symmetry. Zbl 1078.11028 Polishchuk, A. 4 2005 Universal triple Massey products on elliptic curves and Hecke’s indefinite theta series. Zbl 1090.14008 Pasol, V.; Polishchuk, A. 1 2005 \(A_\infty\)-structures on an elliptic curve. Zbl 1075.14036 Polishchuk, A. 20 2004 Witten’s top Chern class on the moduli space of higher spin curves. Zbl 1105.14010 Polishchuk, Alexander 19 2004 Minimal representations: spherical vectors and automorphic functionals. Zbl 1079.22014 Kazhdan, D.; Polishchuk, A. 12 2004 Classification of holomorphic vector bundles on noncommutative two-tori. Zbl 1048.32012 Polishchuk, A. 12 2004 Noncommutative two-tori with real multiplication as noncommutative projective varieties. Zbl 1085.14003 Polishchuk, A. 7 2004 \(A_{\infty}\)-structures, Brill–Noether loci and the Fourier–Mukai transform. Zbl 1076.14039 Polishchuk, A. 2 2004 Abelian varieties, theta functions, and the Fourier transform. Zbl 1018.14016 Polishchuk, Alexander 67 2003 Categories of holomorphic vector bundles on noncommutative two-tori. Zbl 1033.58009 Polishchuk, A.; Schwarz, Albert 32 2003 Extensions of homogeneous coordinate rings to {\(A_\infty\)}-algebras. Zbl 1121.55005 Polishchuk, A. 10 2003 Generalization of a theorem of Waldspurger to nice representations. Zbl 1152.11331 Kazhdan, D.; Polishchuk, A. 3 2003 Triple Massey products on curves, Fay’s trisecant identity and tangents to the canonical embedding. Zbl 1092.14036 Polishchuk, A. 2 2003 Classical Yang-Baxter equation and the \(A_\infty\)-constraint. Zbl 0999.22023 Polishchuk, A. 43 2002 When is the Fourier transform of an elementary function elementary? Zbl 1037.11080 Etingof, Pavel; Kazhdan, David; Polishchuk, Alexander 17 2002 Analogue of Weil representation for abelian schemes. Zbl 1065.11040 Polishchuk, A. 6 2002 Algebraic construction of Witten’s top Chern class. Zbl 1051.14007 Polishchuk, Alexander; Vaintrob, Arkady 49 2001 Fukaya category and Fourier transform. Zbl 1082.14522 Arinkin, D.; Polishchuk, A. 19 2001 Homological mirror symmetry with higher products. Zbl 0999.32013 Polishchuk, A. 12 2001 M. P. Appell’s function and vector bundles of rank 2 on elliptic curves. Zbl 1054.14522 Polishchuk, A. 10 2001 Categorical mirror symmetry in the elliptic curve. Zbl 1079.14525 Polishchuk, Alexander; Zaslow, Eric 8 2001 Fourier transform for \(D\)-algebras. I. Zbl 1069.14003 Polishchuk, A.; Rothstein, M. 7 2001 A new look at Hecke’s indefinite theta series. Zbl 1014.11032 Polishchuk, A. 1 2001 Gluing of perverse sheaves on the basic affine space. With an appendix by R. Bezrukavnikov and the author. Zbl 1077.14517 Polishchuk, Alexander 1 2001 Torelli theorem via Fourier-Mukai transform. Zbl 1079.14502 Beilinson, Alexander A.; Polishchuk, Alexander 1 2001 Massey and Fukaya products on elliptic curves. Zbl 1060.14516 Polishchuk, A. 16 2000 Rapidly convergent series for the Weierstrass zeta-function and the Kronecker function. Zbl 0987.33011 Polishchuk, A. 3 2000 Determinant bundles for Abelian schemes. Zbl 0972.14037 Polishchuk, A. 2 2000 Generalized character sums associated to regular prehomogeneous vector spaces. Zbl 1001.11053 Kazhdan, D.; Polishchuk, A. 1 2000 Theta identities with complex multiplication. Zbl 0969.14031 Polishchuk, A. 1 1999 Categorical mirror symmetry: The elliptic curve. Zbl 0947.14017 Polishchuk, Alexander; Zaslow, Eric 74 1998 Poisson structures and birational morphisms associated with bundles on elliptic curves. Zbl 0933.14016 Polishchuk, A. 15 1998 Algebraic geometry of Poisson brackets. Zbl 0995.37057 Polishchuk, A. 50 1997 Perverse sheaves on a triangulated space. Zbl 0905.18007 Polishchuk, A. 5 1997 Symplectic biextensions and a generalization of the Fourier-Mukai transform. Zbl 0886.14019 Polishchuk, A. 12 1996 On the Koszul property of the homogeneous coordinate ring of a curve. Zbl 0861.14030 Polishchuk, Alexander 6 1995 A remark on the Fourier-Mukai transform. Zbl 0851.14019 Polishchuk, A. 2 1995 Nearly-linear size holographic proofs. Zbl 1345.68180 Polishchuk, Alexander; Spielman, Daniel A. 43 1994 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,179 Authors 50 Polishchuk, Alexander Evgen’evich 17 Zotov, Andrei V. 14 Katzarkov, Ludmil 13 Lekili, Yankı 11 Macrì, Emanuele 11 Ruan, Yongbin 11 Van den Bergh, Michel 10 Ben-Sasson, Eli 10 Schroll, Sibylle 9 Burban, Igor 9 Positselski, Leonid Efimovich 8 Bayer, Arend 8 Buryak, Alexandr Y. 8 Favero, David 8 He, Jiwei 8 Toda, Yukinobu 8 Walker, Mark E. 7 Chiesa, Alessandro 7 Chirvăsitu, Alexandru 7 Jarvis, Tyler J. 7 Kajiura, Hiroshige 7 Kuznetsov, Aleksandr Gennad’evich 7 Li, Jun 7 Lu, Jiafeng 7 Nyman, Adam 7 van Oystaeyen, Freddy 7 Zhang, Yinhuo 6 Belmans, Pieter 6 Berger, Roland 6 Brown, Michael Kegan 6 Carqueville, Nils 6 Chiodo, Alessandro 6 Conner, Andrew 6 Dotsenko, Vladimir Viktorovich 6 Kazhdan, David 6 Kobayashi, Kazushi 6 Lo, Jason 6 Perry, Alexander R. 6 Quadrelli, Claudio 6 Seidel, Paul 6 Stellari, Paolo 5 Abouzaid, Mohammed 5 Ballard, Matthew Robert 5 Ben-Bassat, Oren 5 Cho, Cheol-Hyun 5 Drozd, Yuriĭ Anatoliĭovych 5 Dubois-Violette, Michel 5 Efimov, Alexander I. 5 Gateva-Ivanova, Tatiana 5 Guéré, Jérémy 5 Iyudu, Natalia K. 5 Li, Wei-Ping 5 Meir, Or 5 Orlov, Dmitri O. 5 Pauksztello, David 5 Pioline, Boris 5 Plamondon, Pierre-Guy 5 Rubtsov, Vladimir Nikolaevich 5 Shen, Yefeng 5 Smith, S. Paul 5 Solotar, Andrea Leonor 5 Tu, Junwu 5 Ueda, Kazushi 5 Zvonkine, Dimitri 4 Amiot, Claire 4 Auroux, Denis 4 Bernardara, Marcello 4 Cassidy, Thomas 4 Chan, Daniel 4 Chang, Huai-Liang 4 Clader, Emily 4 Dinur, Irit 4 Etingof, Pavel Il’ich 4 Fan, Huijun 4 Fiorot, Luisa 4 Goetz, Pete 4 Goldreich, Oded 4 Goncharov, Maksim E. 4 Hua, Zheng 4 Kanda, Ryo 4 Lee, Sangwook 4 Levin, Andrey M. 4 Liu, Chiu-Chu Melissa 4 Lowen, Wendy 4 Marquette, Ian 4 Mináč, Ján 4 Nguyêñ Duy Tân 4 Odesskii, Alexander 4 Oh, Jeongseok 4 Olshanetsky, Mikhail A. 4 Retakh, Vladimir Solomonovich 4 Rossi, Paolo 4 Ruan, ShiQuan 4 Shkarin, Stanislav A. 4 Sibilla, Nicolò 4 Sudan, Madhu 4 Thomas, Richard Paul 4 Vaintrob, Arkady 4 Walton, Chelsea 4 Zvonareva, Alexandra ...and 1,079 more Authors all top 5 Cited in 209 Serials 86 Journal of Algebra 85 Advances in Mathematics 37 Journal of Geometry and Physics 33 Communications in Mathematical Physics 31 Selecta Mathematica. 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Série VI 2 Sbornik: Mathematics 2 Transformation Groups 2 Representation Theory 2 Journal of Group Theory 2 Annales Henri Poincaré 2 Moscow Mathematical Journal ...and 109 more Serials all top 5 Cited in 47 Fields 565 Algebraic geometry (14-XX) 333 Associative rings and algebras (16-XX) 214 Category theory; homological algebra (18-XX) 183 Differential geometry (53-XX) 123 Quantum theory (81-XX) 113 Nonassociative rings and algebras (17-XX) 75 Commutative algebra (13-XX) 74 Several complex variables and analytic spaces (32-XX) 63 Number theory (11-XX) 48 Global analysis, analysis on manifolds (58-XX) 43 Computer science (68-XX) 39 Group theory and generalizations (20-XX) 39 Manifolds and cell complexes (57-XX) 38 Combinatorics (05-XX) 32 Dynamical systems and ergodic theory (37-XX) 32 Functional analysis (46-XX) 30 Algebraic topology (55-XX) 26 Topological groups, Lie groups (22-XX) 26 Information and communication theory, circuits (94-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 \(K\)-theory (19-XX) 14 Partial differential equations (35-XX) 12 Field theory and polynomials (12-XX) 11 Functions of a complex variable (30-XX) 11 Special functions (33-XX) 11 Relativity and gravitational theory (83-XX) 8 Mechanics of particles and systems (70-XX) 7 General and overarching topics; collections (00-XX) 7 Convex and discrete geometry (52-XX) 6 Ordinary differential equations (34-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Abstract harmonic analysis (43-XX) 4 Operator theory (47-XX) 4 Geometry (51-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year