E-mail: kyang95 AT stanford DOT edu

Department of Mathematics, Stanford University, Stanford, CA 94305.

- I am a fifth-year PhD student in mathematics at Stanford University. My advisor is Amir Dembo. Before that, I studied mathematics at Harvard University.
- I am currently a Program Associate at MSRI for "Universality and Integrability in Random Matrix Theory and Interacting Particle Systems".
- My research interests are in probability and large-scale behaviors of highly correlated systems, for example connections between interacting particle systems, PDEs, and stochastic PDEs. Generally speaking, I am particularly interested in non-stationary and non-equilibrium stochastic dynamics of any kind, and the methods employed in my research are largely motivated by or come from this broad interest.

- Fellowship, Northern California Chapter of the ARCS Foundation, 2020-2021 and 2021-2022.
- Herb Alexander Award, Harvard University Department of Mathematics.
- Certificate for Distinction and Excellence in Teaching, Derek C. Bok Center at Harvard University, Fall 2014 to Spring 2017.

- Yang, K.
**KPZ Equation via non-stationary Boltzmann-Gibbs Principle**, in preparation. - Yang, K. Non-Stationary Kardar-Parisi-Zhang equation from ASEP with a slow bond.
*Submitted*. - Yang, K. Hairer-Quastel universality in non-stationarity via energy solution theory.
*Submitted*. - Yang, K. Kardar-Parisi-Zhang Equation from Non-Simple Variations on Open-ASEP .
*Submitted*. - Yang, K. Kardar-Parisi-Zhang Equation from Long-Range Exclusion Processes .
*Submitted*. - Yang, K. Stochastic Burgers Equation via Energy Solutions from Non-Stationary Particle Systems .
*Submitted*. - Megumi Asada, Ryan Chen, Eva Fourakis, Yujin Kim, Andrew Kwon, Jared D. Lichtman, Blake Mackall, Steven J. Miller, Eric Winsor, Karl Winsor, Jianing Yang, Kevin Yang. Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of L-Functions.
*Experimental Mathematics*. DOI: 10.1080/10586458.2021.1980453. 2021. - Paula Burkhardt, Peter Cohen, Jonathan DeWitt, Max Hlavacek, Steven J. Miller, Carsten Sprunger, Yen Nhi Truong Vu, Roger Van Peski and Kevin Yang. Random matrix ensembles with split limiting behavior.
*Random Matrices: Theory and Application*. Vol. 07, No. 03, 1850006. 2018. - Asada M, Fourakis E, Miller SJ, Yang K, Appendix to Some Results in the Theory of Low-lying Zeros: Determining the 1-level density, identifying the group symmetry and the arithmetic of moments of Satake parameters.
*Families of Automorphic Forms and the Trace Formula*. 435-476. Simons Symposia. Springer, Cham. 2016. - Yu Z, Liu N, Liu J, Yang K, Wang X. Neuroglobin, a novel target for endogenous neuroprotection against stroke and neurodegenerative disorders.
*Int. J. Mol. Sci*. 6995-7014. 2012.

- Yang, K. Local Correlation and Gap Statistics under Dyson Brownian Motion for Covariance Matrices
- Yang, K. Bulk Eigenvalue Correlation Statistics of Random Biregular Bipartite Graphs
- Yang, K. Local Marchenko-Pastur Law for Random Bipartite Graphs

- [Online] Probability and the City, Dec. 2021.
- [Online] Probability Seminar, U.C. Berkeley, Nov. 2021.
- Program Associates Short Talks, MSRI, Oct. 2021
- Mathematical Physics and Probability Seminar, UC Davis, Sept. 2021.
- Introductory Talk on Scaling Limits for Interacting Particle Systems, MSRI, Sept. 2021.
- [Online] Junior Integrable Probability Seminar, May 2021.
- [Online] Student Probability/PDE Seminar, University of California, Berkeley, April 2021.
- [Online] Probability Seminar, University of Wisconsin-Madison, Feb. 2021.
- [Online] Probability Seminar, Stanford University, Nov. 2020. Video
- [Online] Stochastic PDE Seminar, Columbia University, Oct. 2020. Video
- [Online] Bernoulli-IMS One World Symposium Aug. 2020.
- Mathematical Physics and Probability Seminar, UC Davis, Dec. 2018.
- Probability Seminar, Columbia University, Oct. 2018.
- Maine/Quebec Number Theory Conference (w/ Steven J. Miller), Oct. 2015.

- Summer 2021: TA for Math 63DM: Discrete Methods
- Spring 2021: TA for Math 51 ACE: Linear Algebra and Multivariable Calculus
- Summer 2020: Instructor for Math 114: Applied Matrix Theory
- Winter 2020: TA for Math 63CM: Analysis and ODEs
- Fall 2019: TA for Math 51 ACE: Linear Algebra and Multivariable Calculus
- Summer 2019: CA for Math 115: Functions of a Real Variable
- Winter 2019: TA for Math 21 ACE: Calculus
- Fall 2018: CA for Math 104: Applied Matrix Theory
- Spring 2018: CA for Math 115: Functions of a Real Variable
- Fall 2017: CA for Math 115: Functions of a Real Variable

- I was the organizer for the Student Probability Seminar at Stanford University from Fall 2019 to Spring 2021.
- In Winter 2018 and Spring 2020, I participated as a mentor in the Stanford Mathematics Directed Reading Program.