Yujin H. Kim

Welcome! I'm Yujin, a Ph.D. student in mathematics at the Courant Institute of NYU. I am very fortunate to be advised by Eyal Lubetzky and Ofer Zeitouni.

In Fall 2021, I was a Program Associate at the MSRI for ``Universality and Integrability in Random Matrix Theory and Interacting Particle Systems". Before graduate school, I studied mathematics just up the street at Columbia University.

Broadly speaking, I am interested in probability theory and its applications. Currently, I am thinking about the extremal processes of log-correlated fields, branching diffusions and their connections with reaction-diffusion equations, random matrix theory, and lattice models in statistical physics. My research is partially supported by an NSF Graduate Research Fellowship and a MacCracken Fellowship.

You can reach me at first name [dot] last name [at] courant.nyu.edu. If you're at Courant, visit me in office 1003!

Here is a rough CV.

Research (in reverse order of arXiv appearance)

On level line fluctuations of SOS surfaces above a wall
with Patrizio Caddeo and Eyal Lubetzky.
Preprint, 2023. (arXiv)

KPP traveling waves in the half-space
with Julien Berestycki, Cole Graham, and Bastien Mallein.
Submitted, 2023. (arXiv)

The extremal point process of branching Brownian motion in \R^d
with Julien Berestycki, Eyal Lubetzky, Bastien Mallein, and Ofer Zeitouni.
Annals of Probability, to appear. (arXiv, short video, more detailed video)

The maximum of branching Brownian motion in \R^d
with Eyal Lubetzky and Ofer Zeitouni.
Annals of Applied Probability, 2023. (arXiv, video)

The lower tail of the half-space KPZ Equation
Stochastic Processes and its Applications, 2021.

A refined conjecture for the variance of Gaussian primes across sectors
with R. C. Chen, J. D. Lichtman, S. J. Miller, A. Shubina, S. Sweitzer, E. Waxman, E. Winsor, and J. Yang.
Experimental Mathematics, 2020.

Lower-order biases in the second moments of Dirichlet coefficients in families of L-functions
with M. Asada, R. C. Chen, E. Fourakis, A. Kwon, J. D. Lichtman, B. Mackall, S. J. Miller, E. Winsor, K. Winsor, J. Yang, and K. Yang.
Experimental Mathematics, 2021.

Spectral statistics of non-Hermitian random matrix ensembles
with R. C. Chen, J. D. Lichtman, S. J. Miller, A. Shubina, and S. Sweitzer.
Random Matrices: Theory and Applications, 2020.

Limiting distributions in generalized Zeckendorf decompositions
with G. Carty, A. Gueganic, S. J. Miller, A. Shubina, S. Sweitzer, E. Winsor, and J. Yang.
The Fibonacci Quarterly, 2019.

Anomalous primes and the elliptic Korselt criterion
with L. Babinkostova, J.C. Bahr, E. Neyman, and G. K. Taylor.
Journal of Number Theory, 2019.

On orders of elliptic curves with fixed j-invariants
with J.C. Bahr, E. Neyman, and G. K. Taylor.
Rose-Hulman Undergraduate Mathematics Journal, 2019.

Seminars Organized

At Courant, I co-organize the Student Probability Seminar. If you are interested in speaking at this seminar, please feel free to shoot me an email. In the past, I co-organized the Graduate Student/Postdoc Seminar, as well as the MSRI Program Associates' Seminar with Weitao Zhu.

Talks and Presentations

Please see CV.

"[Fourier] had the opinion that the principal aim of mathematics was public utility and explanation of natural phenomena; but a philosopher like him should have known that the sole end of science is the honor of the human mind." — Jacobi, in a letter to Legendre (1830).

Credit to * for the website template.