Kevin Ren
he/him pronouns
Department of Mathematics, Princeton University
Email: kevinren [at] princeton [dot] edu
I am a second year graduate student at Princeton University, advised
by Assaf Naor.
I am interested in studying Fourier analysis and its applications to
problems in geometric measure theory and metric geometry.
Here is my CV (updated Feb 2024).
Here is a talk
and article
about my work on the Furstenberg set problem.
Here is an article about my work on the Falconer distance set problem.
Publications and preprints
Analysis and Geometric Measure Theory

Sobolev extension in a simple case
(joint with Marjorie Drake, Charles Fefferman, and Anna Skorobogatova). Accepted by Advanced Nonlinear Studies

Weighted refined decoupling estimates and application to Falconer distance set problem
(joint with Xiumin Du, Yumeng Ou, and Ruixiang Zhang).

New improvement to Falconer distance set problem in higher dimensions
(joint with Xiumin Du, Yumeng Ou, and Ruixiang Zhang).

Discretized Radial Projections in R^d.

Furstenberg sets estimate in the plane (joint with Hong Wang).

A note on maximal operators for the SchrÃ¶dinger equation on the torus
(joint with Yuqiu Fu, Haoyu Wang).

Incidence estimates for alphadimensional tubes and betadimensional
balls in the plane (joint with Yuqiu Fu). Accepted by J Fractal Geometry

An incidence estimate and a Furstenberg type estimate for tubes in the plane
(joint with Yuqiu Fu and Shengwen Gan).
J Fourier Anal Appl 28, 59 (2022)
Combinatorics

%Immanants and TemperleyLieb Immanants
(joint with Frank Lu, Dawei Shen, Siki Wang).

Topology of Augmented Bergman Complexes
(joint with Elisabeth Bullock, Aidan Kelley, Victor Reiner,
Gahl Shemy, Dawei Shen, Brian Sun, Amy Tao, Zhichun Joy Zhang).
Electronic Journal of Combinatorics, p. 131 (2022)

Extending the Graph Formalism to HigherOrder Gates
(joint with Andrey Boris Khesin).
arxiv page
ORCID 000000018348022X
Invited talks

Northwestern Analysis Seminar, Apr 2024

AMS Spring Central Sectional Meeting, Apr 2024

UCLA Department Colloquium, Apr 2024

UPenn Analysis Seminar, Feb 2024

Workshop in Analysis at Georgia Institute of Technology, Dec 2023

Berkeley Analysis Seminar, Oct 2023

University of British Columbia Analysis Seminar, Oct 2023

Online Analysis Research Seminar, Sept 2023

Harmonic Analysis and Fractal Sets conference at Ohio State University, Mar 2023

Princeton Graduate Student Seminar, Oct 2022

Joint Mathematics Meetings AMS/PME student poster session, Jan 2022