Kevin Yang

E-mail: kevinyang AT math DOT harvard DOT edu
Department of Mathematics, Harvard.

About:

• I am an NSF postdoc and Benjamin Peirce fellow at Harvard University, where my sponsor is Professor H.T. Yau.
• My research is at the intersection of probability and analysis (e.g. KPZ universality, stochastic analysis, random matrices, and N-body problems more generally).
• I organize the Harvard Probability Seminar.
• I am also a (trail) runner. See the end of this webpage for more details.

Education:

• Ph.D. in Mathematics, Stanford University (2017-2022). Advisor: Amir Dembo.
• A.B. in Mathematics, Harvard University (2013-2017).

Upcoming events:

Research:

• S. Dubova, K. Yang, H.-T. Yau, J. Yin, Delocalization of two-dimensional random band matrices.
• S. Dubova, K. Yang, Quantum diffusion and delocalization in one-dimensional band matrices via the flow method.
• K. Yang, KPZ equation from ASEP plus general speed-change drift.
• S. Dubova, K. Yang, H.-T. Yau, J. Yin, Gaussian statistics for left and right eigenvectors of complex non-Hermitian matrices.
• S. Dubova, K. Yang, Bulk universality for complex eigenvalues of real non-symmetric random matrices with i.i.d. entries, Accepted, Annales Henri Poincare.
• A. Dembo, K. Yang, KPZ-type equation from growth driven by a non-Markovian diffusion.
• A. Dembo, K. Yang, A flow-type scaling limit for random growth with memory. Accepted, Communications on Pure and Applied Mathematics.
• K. Yang, Time-inhomogeneous KPZ equation from non-equilibrium Ginzburg-Landau SDEs. Electronic Journal of Probability, 30, 1-155, 2025.
• K. Yang, Fluctuations for some non-stationary interacting particle systems via Boltzmann-Gibbs Principle. Forum of Mathematics, Sigma, 11, E32, 2023.
• K. Yang, Non-Stationary Kardar-Parisi-Zhang equation from ASEP with a slow bond. Annales de l'Institut Henri Poincare, Prob. et. Stat., 60, 1246-1294, 2024.
• K. Yang, Hairer-Quastel universality in non-stationarity via energy solution theory. Electronic Journal of Probability, 28, 1-26, 2023.
• K. Yang, KPZ Equation from non-simple variations on open ASEP. Probability Theory and Related Fields, 183, 415-545, 2022.
• K. Yang, Kardar-Parisi-Zhang Equation from Long-Range Exclusion Processes. Communications in Mathematical Physics, 400, 1535-1663, 2023.
• K. Yang, Stochastic Burgers Equation via Energy Solutions from Non-Stationary Particle Systems.
• 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.
• Undergraduate thesis on local statistics for random covariance matrices and bipartite graphs: see here, here, and here.

Invited talks:

• Probability Seminar, Princeton University, Apr. 2024.
• Probability Seminar, Columbia University, Apr. 2024.
• Probability Seminar, CRM-ISM Montreal, Mar. 2024.
• Probability Seminar, Brown University, Oct. 2024.
• Probability Seminar, Penn/Temple, Oct. 2024.
• Probability Seminar, Duke University, Apr. 2024.
• Probability and Statistical Physics Seminar, University of Chicago, Apr. 2024.
• Probability Seminar, Stanford University, Mar. 2024.
• Probability Seminar, Courant/NYU, Feb. 2024.
• Probability Seminar, MIT, Feb. 2024.
• Lefschetz Center for Dynamical Systems Seminar, Brown University, Oct. 2023.
• Probability Seminar, U.C. Davis, Oct. 2023.
• Summer School on Stochastic Analysis, EPFL, Aug. 2023.
• Workshop: Laplacian Growth Models, Theory and Applications, Institute for Mathematical and Statistical Innovation, Jun. 2023.
• Probability Seminar, UCSD, May 2023.
• Seminario de Probabilidade e Mecanica Estatistica, May 2023.
• Probability Seminar, Cornell University, Mar. 2023.
• Joint Applied Math/Probability Seminar, Stanford University, Feb. 2023.
• Workshop: Stochastic PDEs and Related Topics, Brin Mathematics Research Center, University of Maryland, College Park, Nov. 2022.
• Probability Seminar, University of Warwick, Nov. 2022.
• Stochastics Seminar, University of Utah, Sept. 2022.
• Probability Seminar, U.C. Berkeley, Sept. 2022.
• [Online] Bristol–Warwick–QMUL Informal Online Probability Seminar, May 2022.
• [Online] Probability and the City, New York, Dec. 2021. Video.
• [Online] Probability Seminar, U.C. Berkeley, Nov. 2021.
• Program Associates Short Talks, MSRI, Oct. 2021. Video.
• Mathematical Physics and Probability Seminar, UC Davis, Sept. 2021.
• Introductory Talk on Scaling Limits for Interacting Particle Systems, MSRI, Sept. 2021. Video.
• [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.

Previous events:

• Advances in Probability Theory and Interacting Particle Systems: a conference in honor of S. R. Srinivasa Varadhan, Harvard University, Aug. 2024.
• Summer School on Stochastic Analysis, EPFL, Aug. 2023.
• Workshop: Laplacian Growth Models, Theory and Applications, Institute for Mathematical and Statistical Innovation, Jun. 2023.
• Workshop: Stochastic PDEs and Related Topics, Brin Mathematics Research Center, University of Maryland, College Park, Nov. 2022.
• I was a Program Associate at MSRI in Fall 2021 for "Universality and Integrability in Random Matrix Theory and Interacting Particle Systems".
• Advances in Asymptotic Probability, In honor of Amir Dembo's 60th birthday.

Awards and honors:

• 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.

Teaching:

Other:

• 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.

Non-math:

• I am an amateur (trail) runner, and my coach is Serena Blacklow (who does all things coaching, baking, and more). Below are some of the races I've done.
• Kaiser Permanente Half Marathon, San Francisco.
• Marin Ultra Challenge (50M).
• Rodeo Valley Trail Run (30K).
• Mammoth Trail Fest (26K).
• Lake Sonoma 50 (50M).
• UTMB Canyons Endurance Runs (25K).
• TARC Fall Classic (1st place overall, 50M).
• TARC Stone Cat (50M).
• Marin Ultra Challenge (again, 50K).
• Loon Mountain Race.
• TARC Fall Classic (again, 1st place age group, 50K).
• HOKA Bandera 100K.