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About
About
I am a Visiting Assistant Professor (postdoc position) in the Department of Mathematics at the University of Rochester under the mentorship of Professor Allan Greenleaf. I was a J.J. Sylvester Assistant Professor (postdoc position) in the Department of Mathematics at Johns Hopkins University, mentored by Professor Christopher D. Sogge. In May 2022, I received my PhD degree in Mathematics from the University of New Mexico under the supervision of Professor Matthew D. Blair. Before I came to UNM, I received a Bachelor's degree in Mathematics Education at Korea National University of Education. Here is my CV.
I am interested in harmonic analysis and its interactions with partial differential equations, such as the Helmholtz equation and wave equation on compact Riemannian manifolds. Specifically, I am interested in L^p estimates on restrictions of the eigenfunctions of the Laplace-Beltrami operators on compact Riemannian manifolds.
The list of preprints is as follows:
Eigenfunctions restriction estimates for curves with nonvanishing geodesic curvatures in compact Riemannian surfaces with nonpositive curvature Transactions of the AMS, 376 (08), 2023, pp.5809-5855.
L^q estimates on the restriction of Schrodinger eigenfunctions with singular potentials with Matthew D. Blair, Communications in Partial Differential Equations 50 (10-12), 1234-1290.
L^p - L^q resolvent restriction estimates for submanifolds with Matthew D. Blair.
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