I am mainly interested in Diophantine approximation and the distribution of sequences mod 1. Exponential sums tend to appear naturally in both these topics, and my latest research consists in providing function field analogues of known results for Weyl sums. Recently, I have also been looking into other applications of uniformly distributed sequences mod 1, which include the study of Beatty and Piatetski-Shapiro sequences.
With Thái Hoàng Lê, Yu-Ru Liu and Trevor D. Wooley, Well-distribution modulo one and the primes, to appear in Proc. Amer. Math., 5pp. (arXiv version)
With Damien Roy (2023) Diophantine approximation with constraints, Acta Arith. 207 no. 1, 57 - 99. (arxiv version)
With Damien Roy (2019) A transference inequality for rational approximation to points in geometric progression, Hardy-Ramanujan J. 42, 70 - 72 (arXiv version).
With Zhenchao Ge and Yu-Ru Liu, Equidistribution theorem for multivariate polynomials in function fields, submitted.
With Thái Hoàng Lê, Yu-Ru Liu and Trevor D. Wooley, Equidistribution of polynomial sequences over function fields: Resolution of a conjecture, to be submitted.
On the greatest common divisor of n, [α_1n], ..., [α_kn^k], to be submitted.
33èmes Journées Arithmétiques: held at the University of Luxembourg (Esch-sur-Alzette, LU) from June 30 to July 4, 2025.
Presentation: Weyl's equidistribution theorem in function fields
Summer 2025 CMS Meeting: held at the Université Laval (Québec city, CA) from June 6 to 9, 2025.
Presentation: Equidistribution and the probability of coprimality in some integer tuples
Ontario Graduate Mathematics Conference (OGMC) 2025: held at the University of Toronto (Toronto, CA) from May 30 to June 1, 2025.
Presentation: Equidistribution and the probability of coprimality in some integer tuples
Midwest Arithmetic Geometry and Number Theory Seminar (MAGNTS) 2025: held at the Ohio State University (Columbus, US) on March 29 and 30, 2025.
Québec-Maine Number Theory Conference 2024: held at the Université Laval (Québec city, CA) on October 5 and 6, 2024.
Presentation: Weyl's equidistribution theorem in function fields
16th Conference of the Canadian Number Theory Association (CNTA XVI): held at the Fields Institute (Toronto, CA) from June 10 to 14, 2024.
SCHOLAR II: held at the Fields Institute (Toronto, CA) from May 28 to 30, 2024.
Ontario Graduate Mathematics Conference (OGMC) 2024: held at the University of Waterloo (Waterloo, CA) from June 7 to 9, 2024.
Presentation: Weyl's equidistribution theorem in function fields
Summer 2024 CMS Meeting: held at the University of Saskatchewan (Saskatoon, CA) from June 2 to 5, 2024.
Presentation: Weyl's equidistribution theorem in function fields
Winter 2023 CMS Meeting: held at the Hilton Doubletree Hotel (Montréal, CA) from December 1 to 4, 2023.
Midwest Arithmetic Geometry and Number Theory Seminar (MAGNTS) 2023: held at the University of Michigan (Ann Arbor, US) on October 7 and 8, 2025.
Summer 2023 CMS Meeting: held at the University of Ottawa (Ottawa, CA) from June 2 to 5, 2023.
Presentation: Diophantine approximation by linear forms with angular restrictions
Winter 2022 CMS Meeting: held at the Chelsea Hotel (Toronto, CA) from December 2 to 5, 2022.
Québec-Maine Number Theory Conference 2022: held at the Université Laval (Québec city, CA) on October 15 and 16, 2022.