Shoo Seto
Assistant Professor
Degrees
PhD, University of California, Irvine
MS, University of California, Irvine
BA, University of California, Berkeley
Research Areas
Geometric Analysis, Spectrum of the Laplacian, Analysis of PDEs.
Courses Regularly Taught
Calculus, Differential Geometry.
Publications
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Asymptotic expansion of the Bergman kernel via perturbation of the Bargmann-Fock model (with H. Hezari, C. Kelleher, and H. Xu), J. Geom. Anal. 26, (2016) no.4, 2602-2638
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Bergman kernel asymptotics through perturbation Analysis and geometry in several complex variables, 179-184, Contemp. Math., 681, Amer. Math. Soc. 2017
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First eigenvalue of the p-Laplacian under integral curvature condition(with G. Wei) Nonlinear Anal. 163 2017, pp 60-70
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Fundamental gap estimate for convex domains on sphere - the case n = 2,(with X. Dai, G. Wei), to appear in Communications in Analysis and Geometry, 2018
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Fundamental gap comparison, (with X. Dai, G. Wei) to appear in Proceeding of the Workshop on Geometric Analysis 2018
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First eigenvalue of the p-Laplacian on Kahler manifolds, (with C. Blacker) Proc. Amer. Math. Soc. 147, 2019, no.5,2197-2206
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Sharp Fundamental Gap Estimate on Convex Domains of Sphere (with L. Wang and G. Wei) J. Dierential Geom. 112, 2019, no. 2, 347-389
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Zhong-Yang type estimate under integral curvature condition, (with X. Ramos Olive, G. Wei, Q Zhang), to appear in Mathematische Zeitschrift, 2019
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The first eigenvalue value of the p-Laplacian on differential forms, to appear in Pacific Journal of Math, 2020
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Fundamental gap of spherical triangles, (with G. Wei, X. Zhu), arXiv:2009.00229, 2020
