Yujin H. Kim
Hi! 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 at Columbia University.
Broadly speaking, I am interested in probability theory and its applications. Currently, I am thinking about the extremal processes of logcorrelated fields, branching diffusions and their connections with reactiondiffusion 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!
You can find my CV here.


Research (in reverse order of arXiv appearance)

The shape of the front of multidimensional branching Brownian motion
with Ofer Zeitouni.
Submitted, 2024. (arXiv)

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

KPP traveling waves in the halfspace
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, 2024. (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. (video)

The lower tail of the halfspace 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.

Lowerorder biases in the second moments of Dirichlet coefficients in families of Lfunctions
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 nonHermitian 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 jinvariants
with J.C. Bahr, E. Neyman, and G. K. Taylor.
RoseHulman Undergraduate Mathematics Journal, 2019.

Talks and Presentations
 University of Chicago, Probability and Statistical Physics Seminar, May 2024.
 University of Pennsylvania/Temple University Probability Seminar, Apr. 2024.
 Los Angeles Probability Forum, Apr. 2024.
 Hong Kong University of Science and Technology, Probability Seminar, Jan. 2024.
 KTH Royal Institute of Technology, Probability Seminar, Dec. 2023.
 Northeast Probability Seminar, Nov. 2023.
 University of Maryland, Probability Seminar, Oct. 2023.
 University of Oxford, Probability Seminar, Jun. 2023.
 Columbia University, Columbia Probability Workshop, May 2023.
 Brin Mathematics Research Center, Workshop on Branching Processes and ReactionDiffusion Equations, Mar. 2023.
 Northeast Probability Seminar, Nov. 2021.
 SLMath (formerly MSRI), Programs Associates' Short Talks, Sep. 2021.
 Stanford University, Student Probability Seminar, Apr. 2021.
 Joint Mathematics Meetings, AMS Special Session on Discrete Neural Networking, Jan. 2018 (w/ Eric Winsor).
 Joint Mathematics Meetings, Undergraduate Poster Session, Jan. 2018.
 MaineQuebec Number Theory Conference, Oct. 2017 (w/ Shannon Sweitzer).
 Joint Mathematics Meetings, Undergraduate Poster Session, Jan. 2017.
 INTEGERS Conference, Oct. 2016.

"[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).
