About

Hello! My name is Yuveshen. I also go by Yuve. 

Education

I am a first-year doctoral student in the Department of Mathematics at the University of British Columbia (UBC). I work with Malabika Pramanik in the harmonic analysis group.

I received my master's degree from the UBC in 2023. Previously, I was an undergraduate in the mathematics specialist program at the University of Toronto. 

Research interests

• Oscillatory integrals.

• Fractal uncertainty principles.

• Existence and nonexistence of patterns in large sets (e.g. the Erdős similarity problem and its variants). 

I like everything that feels like analysis. My current fascination is with methods for estimating oscillatory integrals. I often get distracted by problems related to the existence and non-existence of various patterns (e.g. finite sets, vertices of polyhedra, or sequences of a prescribed growth rate) inside large sets (usually, this means sets that have measure, density, or dimension exceeding a certain threshold).

During my undergraduate studies, I worked on classifications of Lie algebras with Joe Repka, methods for measuring conceptual understanding of first-year calculus with Sarah Mayes-Tang, and sharp rearrangement inequalities for functions of bounded mean oscillation with Almut Burchard.

Will we meet this semester?

I will be attending the following workshops this summer:

• Uniformity and stability of oscillatory integrals, Hausdorff Center for Mathematics, Bonn, Germany, 8th--12th of July 2024.

• On the interface of geometric measure theory and harmonic analysis, BIRS, Banff, Canada, 9th--14th of June 2024.