Mathematika 72(2), e70089 (2026)
Published literature
Journal papers
Results in Mathematics 80(8), 236 (2025)
On Nontrivial Winning and Losing Parameters of Schmidt Games
Compositio Mathematica 161(11), 2990–3016 (2025)
Singularity, weighted uniform approximation, intersections and rates
Audit readyAdvances in Mathematics 437, 109435 (2024)
A variational principle in the parametric geometry of numbers
View record →International Mathematics Research Notices 2024(10), 8618–8627 (2024)
Burau representation of braid groups and -rationals
Audit readyView record →Advances in Mathematics 453, 109822 (2024)
Poisson geometry and Azumaya loci of cluster algebras
Audit readyDiscrete & Computational Geometry 70(4), 1476–1498 (2023)
An Identity for the Coefficients of Characteristic Polynomials of Hyperplane Arrangements
Audit readyThe Journal of Symbolic Logic 88(1), 1–21 (2023)
Determinacy of Schmidt's Game and Other Intersection Games
Tokyo Journal of Mathematics 46(1), 1–18 (2023)
Diophantine approximation by negative continued fraction
Audit readyView record →International Mathematics Research Notices 2023(1), 210–242 (2023)
Effective multiple equidistribution of translated measures
Audit readyView record →Advances in Mathematics 428, 109154 (2023)
Measure theoretic laws for limsup sets defined by rectangles
Combinatorics and Number Theory 11(2), 125–148 (2022)
Applications of Siegel's Lemma to a system of linear forms and its minimal points
Audit readyView record →Uniform Distribution Theory 17(1), 89–104 (2022)
On Some Properties of Irrational Subspaces
Audit readyDiscrete Mathematics 344(3), 112232 (2021)
Euclidean matchings and minimality of hyperplane arrangements
Audit readyView record →International Mathematics Research Notices 2021(9), 7060–7095 (2021)
Expanding cone and applications to homogeneous dynamics
Audit readyIsrael Journal of Mathematics 245(2), 589–613 (2021)
Singular vectors on manifolds and fractals
Audit readyView record →Forum of Mathematics, Sigma 8, e13 (2020)
-deformed rationals and -continued fractions
Audit readyView record →Mathematika 66(3), 818–854 (2020)
An optimal bound for the ratio between ordinary and uniform exponents of Diophantine approximation
Audit readyView record →Journal d’Analyse Mathématique 141(2), 457–482 (2020)
Central limit theorems for group actions which are exponentially mixing of all orders
Audit readyView record →Journal of the European Mathematical Society 22(5), 1475–1529 (2020)
Quantitative multiple mixing
Audit readyView record →Memoirs of the American Mathematical Society 263(1276), 1–77 (2020)
Sums of reciprocals of fractional parts and multiplicative Diophantine approximation
View record →Selecta Mathematica 25, 58 (2019)
Cluster algebras and Jones polynomials
Audit readyView record →Annals of Mathematics 189(2), 319–391 (2019)
On Furstenberg's intersection conjecture, self-similar measures, and the norms of convolutions
View record →Inventiones Mathematicae 215(3), 779–818 (2019)
On the -supports of a holonomic -module
Audit readyView record →Advances in Mathematics 335, 466–518 (2018)