Here is the link to my book
"Abelian Varieties, Theta Functions and the Fourier Transform" published
by Cambridge University Press in 2003.
And
here is the description of our book with Leonid Positselski on
quadratic algebras published by the American Mathematical Society in 2005.
Recent Papers
- (with B. Moonen)
Algebraic cycles on the relative symmetric powers and on the
relative Jacobian of a family of curves. II
- Simple helices on Fano threefolds
- Fourier-stable subrings in the Chow rings of abelian varieties
- Algebraic cycles on the relative symmetric powers and on the
relative Jacobian of a family of curves. I
- Massey products on cycles of projective lines and trigonometric solutions of the Yang-Baxter equations
- Constant families of t-structures on derived categories of coherent
sheaves
- Quasicoherent sheaves on complex noncommutative two-tori
- Lie symmetries of the Chow group of a Jacobian and the tautological
subring
- Koszul configurations of points in projective spaces
- Holomorphic bundles on 2-dimensional noncommutative toric orbifolds
- Universal triple Massey products on elliptic curves
and Hecke's indefinite theta series
- Analogues of the exponential map associated with
complex structures on noncommutative two-tori
- (with D. Abramovich) Sheaves of t-structures and valuative criteria
for stable complexes
- Moduli spaces of curves with effective $r$-spin structures
- Universal algebraic equivalences between tautological cycles on Jacobians
of curves
- Classification of holomorphic vector bundles on noncommutative two-tori
- Extensions of homogeneous coordinate rings to $A_{\infty}$-algebras
- Noncommutative two-tori with real multiplication as noncommutative
projective varieties
- Noncommutative Proj and coherent algebras
- (with A. Schwarz) Categories of holomorphic vector bundles on
noncommutative two-tori.
- (with D. Kazhdan) Minimal representations: spherical vectors and
automorphic functionals.
- Witten's top Chern class on the moduli space of higher spin curves
- A-infinity structures, Brill-Noether loci and the Fourier-Mukai transform