3 papers
math.NT2026
Extensions of the Furstenberg-Sárközy theorem via the arithmetic level- inequality
Carlo Francisco E. Adajar, Rishika Agrawal, Mukul Rai Choudhuri +6
Very recently, Green and Sawhney obtained a quasipolynomial bound in the Furstenberg--Sárközy theorem for square differences by proving an ''arithmetic level-'' inequality, th…
math.CA2025
A bound for plany Kakeya sets in using the planebrush method
Izabella Åaba, Mukul Rai Choudhuri, Joshua Zahl
Katz and Zahl used a planebrush argument to prove that Kakeya sets in have Hausdorff dimension at least 3.059. In the special case when the Kakeya set is plany, thei…
math.CA2024
An improved bound on the Hausdorff dimension of sticky Kakeya sets in
Mukul Rai Choudhuri
Kakeya sets are compact subsets of that contain a unit line segment pointing in every direction. The Kakeya conjecture states that such sets must have Hausdorff dime…