Advances in Applied Mathematics 94, 103–119 (2018)
Published literature
Journal papers
Geometric and Functional Analysis 27(4), 880–918 (2017)
Convex hulls of random walks, hyperplane arrangements, and Weyl chambers
Audit readyView record →Advanced Studies in Pure Mathematics 74, 321–334 (2017)
Fundamental groups of symplectic singularities
Audit readyView record →Ergodic Theory and Dynamical Systems 37(1), 103–128 (2017)
Non-divergence of unipotent flows on quotients of rank-one semisimple groups
Audit readyView record →Acta Arithmetica 173(1), 41–57 (2016)
On Kurzweil's 0–1 Law in Inhomogeneous Diophantine Approximation
View record →Astérisque 384, 1–73 (2016)
Quantizations of conical symplectic resolutions I: local and global structure
Audit readyView record →Duke Mathematical Journal 165(2), 267–284 (2016)
Two-dimensional badly approximable vectors and Schmidt's game
Audit readyView record →Annales Academiae Scientiarum Fennicae Mathematica 41, 465–490 (2016)
Weak separation condition, Assouad dimension, and Furstenberg homogeneity
View record →Izvestiya: Mathematics 79(1), 60–73 (2015)
A strengthening of Mahler’s transference theorem
International Mathematics Research Notices 2015(11), 3121–3149 (2015)
Computing upper cluster algebras
Audit readyContemporary Mathematics 631, 77–92 (2015)
Values of binary quadratic forms at integer points and Schmidt games
Audit readyView record →Acta Arithmetica 164(2), 145–152 (2014)
is hyperplane absolute winning
Audit readyView record →arXiv preprint (superseded) (2014)
Etingof conjecture for quantized quiver varieties II: affine quivers
Audit readyView record →Annals of Mathematics 180(2), 773–822 (2014)
On self-similar sets with overlaps and inverse theorems for entropy
View record →Journal of Number Theory 133(7), 2186–2205 (2013)
Badly approximable systems of affine forms and incompressibility on fractals
Audit readyView record →Journal of Modern Dynamics 7(3), 429–460 (2013)
Modified Schmidt games and a conjecture of Margulis
Audit readySelecta Mathematica 18(1), 179–251 (2012)
Completions of symplectic reflection algebras
Audit readyView record →Advances in Mathematics 231, 1216–1270 (2012)
Isomorphisms of quantizations via quantization of resolutions
Audit readyView record →Moscow Journal of Combinatorics and Number Theory 2(2), 22–51 (2012)
On Diophantine exponents and Khintchine’s transference principle
Number Theory, Analysis and Geometry, 385–396 (2012)
On effective equidistribution of expanding translates of certain orbits in the space of lattices
Audit readyJournal of Combinatorics, Information & System Sciences 37(2–4), 95–143 (2012)
Signed Graphs and Geometry
Audit readyView record →Mathematical Proceedings of the Cambridge Philosophical Society 153(2), 319–339 (2012)
The set of badly approximable vectors is strongly incompressible
Audit readyView record →Duke Mathematical Journal 159(1), 99–143 (2011)
Finite dimensional representations of W-algebras
Audit readyView record →Annals of Mathematics 174(3), 1837–1883 (2011)
On a problem in simultaneous Diophantine approximation: Schmidt's conjecture
Audit readyView record →Russian Mathematical Surveys 65(3), 433–511 (2010)