Publications (77)
Shifted Poisson structures and moduli spaces of complexes
Zheng Hua, Alexander Polishchuk
Gluing of perverse sheaves on the basic affine space
Roman Bezrukavnikov, Alexander Polishchuk
Shifted Poisson geometry and meromorphic matrix algebras over an elliptic curve
Zheng Hua, Alexander Polishchuk
Hochschild (co)homology of the second kind I
Alexander Polishchuk, Leonid Positselski
Kazhdan-Laumon representations of finite Chevalley groups, character sheaves and some generalization of the Lefschetz-Verdeier trace formula
Alexander Braverman, Alexander Polishchuk
Torelli theorem via Fourier-Mukai transform
Alexander Beilinson, Alexander Polishchuk
Categorical Mirror Symmetry: The Elliptic Curve
Alexander Polishchuk, Eric Zaslow
Contracting the Weierstrass locus to a point
Alexander Polishchuk
Triple Massey products on curves, Fay's trisecant identity and tangents to the canonical embedding
Alexander Polishchuk
Divided powers in Chow rings and integral Fourier transforms
Ben Moonen, Alexander Polishchuk
Lie symmetries of the Chow group of a Jacobian and the tautological subring
Alexander Polishchuk
Arithmetic mirror symmetry for genus 1 curves with $n$ marked points
Yanki Lekili, Alexander Polishchuk
Matrix factorizations and singularity categories for stacks
Alexander Polishchuk, Arkady Vaintrob
Birational models of ${\mathcal M}_{2,2}$ arising as moduli of curves with nonspecial divisors
Drew Johnson, Alexander Polishchuk
A-infinity algebras associated with elliptic curves and Eisenstein-Kronecker series
Alexander Polishchuk
Simple helices on Fano threefolds
Alexander Polishchuk
Universal algebraic equivalences between tautological cycles on Jacobians of curves
Alexander Polishchuk
Phases of Lagrangian-invariant objects in the derived category of an abelian variety
Alexander Polishchuk
A-infinity algebra of an elliptic curve and Eisenstein series
Alexander Polishchuk
Fourier transform for D-algebras
Alexander Polishchuk, Mitchell Rothstein
Noncommutative Proj and coherent algebras
Alexander Polishchuk
When is the Fourier transform of an elementary function elementary?
Pavel Etingof, David Kazhdan, Alexander Polishchuk
Analogues of the exponential map associated with complex structures on noncommutative two-tori
Alexander Polishchuk
Categories of holomorphic vector bundles on noncommutative two-tori
Alexander Polishchuk, Albert Schwarz
$A_{\infty}$-structures on an elliptic curve
Alexander Polishchuk
Moduli of curves with nonspecial divisors and relative moduli of $A_\infty$-structures
Alexander Polishchuk
Determinant bundles for abelian schemes
Alexander Polishchuk
Sheaves of t-structures and valuative criteria for stable complexes
Dan Abramovich, Alexander Polishchuk
Moduli of curves, Gröbner bases, and the Krichever map
Alexander Polishchuk
Koszul configurations of points in projective spaces
Alexander Polishchuk
Classification of holomorphic vector bundles on noncommutative two-tori
Alexander Polishchuk
Homological mirror symmetry with higher products
Alexander Polishchuk
Extensions of homogeneous coordinate rings to $A_{\infty}$-algebras
Alexander Polishchuk
Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. II
Ben Moonen, Alexander Polishchuk
Rapidly converging series for the Weierstrass zeta-function and the Kronecker function
Alexander Polishchuk
Fourier-stable subrings in the Chow rings of abelian varieties
Alexander Polishchuk
Constant families of t-structures on derived categories of coherent sheaves
Alexander Polishchuk
Algebraic construction of Witten's top Chern class
Alexander Polishchuk, Arkady Vaintrob
Witten's top Chern class on the moduli space of higher spin curves
Alexander Polishchuk
Symplectic biextensions and a generalization of the Fourier-Mukai transform
Alexander Polishchuk
Matrix factorizations and Cohomological Field Theories
Alexander Polishchuk, Arkady Vaintrob
Quasicoherent sheaves on complex noncommutative two-tori
Alexander Polishchuk
Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. I
Alexander Polishchuk
Holomorphic bundles on 2-dimensional noncommutative toric orbifolds
Alexander Polishchuk
Lefschetz type formulas for dg-categories
Alexander Polishchuk
M. P. Appell's function and vector bundles of rank 2 on elliptic curve
Alexander Polishchuk
Indefinite theta series of signature (1,1) from the point of view of homological mirror symmetry
Alexander Polishchuk
Fourier transform over finite field and identities between Gauss sums
David Kazhdan, Alexander Polishchuk
A new look at Hecke's indefinite theta series
Alexander Polishchuk
Full exceptional collections on the Lagrangian Grassmannians LG(4,8) and LG(5,10)
Alexander Polishchuk, Alexander Samokhin
Associative Yang-Baxter equation and Fukaya categories of square-tiled surfaces
Yanki Lekili, Alexander Polishchuk
Classical Yang-Baxter equation and the $A_{\infty}$-constraint
Alexander Polishchuk
Lagrangian-invariant sheaves and functors for abelian varieties
Alexander Polishchuk
K-theoretic exceptional collections at roots of unity
Alexander Polishchuk
Fukaya category and Fourier transform
Dmitry Arinkin, Alexander Polishchuk
Massey and Fukaya products on elliptic curves
Alexander Polishchuk
Fundamental matrix factorization in the FJRW-theory revisited
Alexander Polishchuk
Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups
Alexander Polishchuk, Michel Van den Bergh
Moduli spaces of curves with effective r-spin structures
Alexander Polishchuk
Generalized character sums associated to regular prehomogeneous vector spaces
David Kazhdan, Alexander Polishchuk
A_{infinity}-structures, Brill-Noether loci and the Fourier-Mukai transform
Alexander Polishchuk
Exceptional collections on isotropic Grassmannians
Alexander Kuznetsov, Alexander Polishchuk
Analogue of Weil representation for abelian schemes
Alexander Polishchuk
Gluing stability conditions
John Collins, Alexander Polishchuk
Massey products on cycles of projective lines and trigonometric solutions of the Yang-Baxter equations
Alexander Polishchuk
DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms
Alexander Polishchuk, Junwu Tu
Moduli of curves as moduli of A-infinity structures
Alexander Polishchuk
A-infinity algebras associated with curves and rational functions on M_{g,g}. I
Robert Fisette, Alexander Polishchuk
Generalization of a theorem of Waldspurger to nice representations
David Kazhdan, Alexander Polishchuk
Kernel algebras and generalized Fourier-Mukai transforms
Alexander Polishchuk
Minimal representations: spherical vectors and automorphic functionals
David Kazhdan, Alexander Polishchuk
A modular compactification of $\mathcal{M}_{1,n}$ from $A_\infty$-structures
Yanki Lekili, Alexander Polishchuk
Universal triple Massey products on elliptic curves and Hecke's indefinite theta series
Vicentiu Pasol, Alexander Polishchuk
Moduli spaces of nonspecial pointed curves of arithmetic genus 1
Alexander Polishchuk
Auslander orders over nodal stacky curves and partially wrapped Fukaya categories
Yanki Lekili, Alexander Polishchuk
Poisson structures and birational morphisms associated with bundles on elliptic curves
Alexander Polishchuk
Noncommutative two-tori with real multiplication as noncommutative projective varieties
Alexander Polishchuk