Andrew Ahn

Cornell University Department of Mathematics Malott Hall 430 ajahn.math@gmail.com

I am currently an NSF Postdoctoral Associate (Visiting Assistant Professor) at Cornell University. In 2020-2021, I was a Joseph F. Ritt Assistant Professor at Columbia University. I received my PhD in Mathematics at MIT under Vadim Gorin.

I work in integrable probability with a focus on random matrices, asymptotic representation theory, and dimer models.

Here is my CV.

Papers

• Extremal singular values of random matrix products and Brownian motion on $\mathsf{GL}(N,\mathbb{C})$, preprint, 2022.
• Lyapunov exponents for truncated unitary and Ginibre matrices (joint with R. Van Peski), preprint, 2021.
• Lozenge tilings and the Gaussian free field on a cylinder (joint with M. Russkikh and R. Van Peski), Communications in Mathematical Physics, vol. 396, no. 3, Dec. 2022, pp. 1221-1275.
• Airy point process via supersymmetric lifts, Probability and Mathematical Physics, vol. 3, no. 4, Feb. 2023, pp. 869-938.
• Fluctuations of $\beta$-Jacobi product processes, Probability Theory and Related Fields, vol. 183, no. 1-2, Apr. 2022, pp. 57-123.
• Product matrix processes with symplectic and orthogonal invariance via symmetric functions (joint with E. Strahov), Int. Math. Res. Not. IMRN, Apr. 2021, rnab045.
• Global universality of Macdonald plane partitions, Ann. Inst. H. Poincaré Probab. Stat., vol. 56, no. 3, Aug. 2020, pp. 1641-1705.
• Discrete derivative asymptotics of the $\beta$-Hermite eigenvalues (joint with G. Goel), Combinatorics, Probability and Computing, vol. 25, no. 5, 2019, 657-674.
• Density of Gabor systems via the short time Fourier transform (joint with W. Clark, S. Nitzan, J. Sullivan), Journal of Fourier Analysis and Applications, vol. 24, no. 3, 2018, pp. 699-718.