Research & publications
Mathematics, in detail.
My work lies at the intersection of number theory, Diophantine approximation and dynamical systems.
Research interests
I study both metrical and regular approximation problems, including continued fractions, approximation spectra and the geometry of number-theoretic sequences. I also explore how AI can help solve mathematical problems.
Preprints
3 papers
- P1
- P2
The Dirichlet spectrum with respect to L₁ norm is [1/2, 1]
Preprint · 2026
- P3
Dirichlet improvability in Lₚ-norms
Preprint · Revised June 2026
Journal papers
Published & accepted · 18 papers
- 18
Averages of Gauss map iterations in arithmetic progressions
Acta Mathematica Hungarica 178, 392–424 (2026)
- 17
Weighted approximation for limsup sets
Nonlinearity 39, issue 3 (2026)
- 16
On a conjecture of Cusick on sums of Cantor sets
Transactions of the American Mathematical Society 379, 4169–4190 (2026)
- 10
Metrical properties of finite product of partial quotients in arithmetic progressions
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze Series 5, 27(1), 337–376 (2026)
- 15
Approximation by uniformly distributed sequences
Bulletin of the London Mathematical Society 57(11), 3550–3566 (2025)
- 14
Restricted slowly growing digits for infinite iterated function systems
Journal of Mathematical Analysis and Applications 549(1), article 129478 (2025)
- 13
Complex numbers with a prescribed order of approximation and Zaremba's conjecture
Journal of Number Theory 274, 1–25 (2025)
- 12
Metrical properties of exponentially growing partial quotients
Forum Mathematicum 37(5), 1379–1399 (2025)
- 11
Radical bound for Zaremba's conjecture
Bulletin of the London Mathematical Society 56, 2615–2624 (2024)
- 09
Hausdorff dimension for sets of continued fractions of formal Laurent series
Finite Fields and Their Applications 95, 102377 (2024)
- 08
Hausdorff dimension for the set with exponentially growing partial quotients in their Lüroth expansion
Discrete and Continuous Dynamical Systems 44(6), 1747–1767 (2024)
- 07
Difference of irrationality measure functions
Monatshefte für Mathematik 204, 171–189 (2024)
- 06
Hausdorff dimension analysis of sets with the product of consecutive vs single partial quotients in continued fractions
Discrete and Continuous Dynamical Systems 44(1), 154–181 (2024)
- 05
A note on badly approximable systems of linear forms over a field of formal series
Research in Number Theory 9, article 31 (2023)
- 04
Rational approximations to two irrational numbers
Moscow Journal of Combinatorics and Number Theory 11(1), 1–10 (2022)
- 03
On the derivative of iterations of the Minkowski question mark function at special points
Functiones et Approximatio Commentarii Mathematici 66(2), 191–202 (2022)
- 02
On Gauss and Kloosterman sums
Far Eastern Mathematical Journal 20(1), 9–14 (2020) · In Russian
- 01
Diophantine properties of fixed points of Minkowski question mark function
Acta Arithmetica 195(4), 367–382 (2020)
Publication list from 12 August 2026, with bibliographic details checked against available publisher records on 3 October 2026. Papers are grouped by journal issue year; numbering follows the original publication list.