Mukul Rai Choudhuri

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Limited Term Assistant Professor
Research Interests:

My main research interests can be grouped into two broad constellations: 

1) Kakeya conjecture, combinatorial geometry (polynomial method), geometric measure theory, Euclidean harmonic analysis 

2) Additive combinatorics, analytic number theory, discrete harmonic analysis, ergodic theory

There is much overlap between these two groups of course. Furthermore, there are more topics beyond that touch the above (such as PDE, real algebraic geometry, coding theory etc).

Selected Publications:

Arxiv page:

https://arxiv.org/search/math?searchtype=author&query=Choudhuri,+M+R

Publications listed:

2. A bound for plany Kakeya sets in $\mathbb{F}_q^4$ using the planebrush method (with I. Łaba and J. Zahl), Res. Math. Sci. (2026) 13, Paper No. 13., special issue on Fractal Geometry and Harmonic Analysis [Journal].

1. An improved bound on the Hausdorff dimension of sticky Kakeya sets in $\mathbb{R}^4$, accepted, Rev. Mat. Iberoam. (2026).