Mathematika 56(2), 193–202 (2010)
Published literature
Journal papers
Geometric and Functional Analysis 20(4), 958–987 (2010)
Poisson traces and D-modules on Poisson varieties
Audit readyView record →Homogeneous Flows, Moduli Spaces and Arithmetic — Clay Mathematics Proceedings 10, 131–153 (2010)
Quantitative nondivergence and its Diophantine applications
View record →Journal of the American Mathematical Society 23(1), 35–59 (2010)
Quantized symplectic actions and W-algebras
Audit readyView record →Journal d'Analyse Mathématique 112(1), 193–236 (2010)
The discretized sum-product and projection theorems
View record →Inventiones Mathematicae 177(1), 137–212 (2009)
Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces
Audit readyView record →Journal of the European Mathematical Society 11(2), 283–313 (2009)
Strong spectral gaps for compact quotients of products of
Transactions of the American Mathematical Society 360(12), 6497–6523 (2008)
An extension of quantitative nondivergence and applications to Diophantine exponents
Audit readyGeometric Combinatorics, IAS/Park City Mathematics Series 13, 389–496 (2007)
An Introduction to Hyperplane Arrangements
Audit readyView record →Annals of Mathematics 164(3), 971–992 (2006)
A Mass Transference Principle and the Duffin–Schaeffer conjecture for Hausdorff measures
View record →Advances in Mathematics 203(1), 132–169 (2006)
Diophantine approximation and badly approximable sets
Audit readyView record →Annals of Mathematics 163(1), 165–219 (2006)
Invariant measures and arithmetic quantum unique ergodicity
Audit readyView record →Annals of Mathematics 164(2), 513–560 (2006)
Invariant measures and the set of exceptions to Littlewood's conjecture
Audit readyView record →Memoirs of the American Mathematical Society 179(846), x+91 (2006)
Measure theoretic laws for lim sup sets
Journal für die reine und angewandte Mathematik 600, 135–156 (2006)
Symplectic singularities from the Poisson point of view
Audit readyView record →Duke Mathematical Journal 126(1), 1–52 (2005)
Cluster algebras III: Upper bounds and double Bruhat cells
Audit readyMoscow Mathematical Journal 5(4), 747–766 (2005)
On exponents of homogeneous and inhomogeneous Diophantine approximation
Audit readyAdvances in Mathematics 195(2), 405–455 (2005)
Quantum cluster algebras
Audit readyMathematical Communications 9(1), 63–65 (2004)
A note on the root subspaces of real semisimple Lie algebras
Moscow Mathematical Journal 3(3), 899–934 (2003)
Cluster algebras and Poisson geometry
Audit readyInventiones Mathematicae 151(2), 297–328 (2003)
Démonstration de la conjecture
View record →Communications on Pure and Applied Mathematics 56(8), 1184–1221 (2003)
Invariant measures on for split simple Lie groups
Audit readyView record →Mathematische Annalen 325(1), 55–79 (2003)
Normality of Marsden-Weinstein reductions for representations of quivers
Audit readyView record →Inventiones Mathematicae 154(3), 617–651 (2003)
On the category O for rational Cherednik algebras
Audit readyView record →Handbook of Dynamical Systems 1A, 813–930 (2002)