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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Advancement to Candidacy
Sharv Laad
UC San Diego
A study of regular multitypes with a view towards the $\bar{\partial}$-Neumann problem
Abstract:
Regular multitypes are CR invariants used to exhibit (non-)degeneracies in the Levi form of a pseudoconvex hypersurface in $\mathbb{C}^n$. We study the properties of the regular multitypes as defined by Bloom, and understand how the notion of finite type implies global regularity in the $\bar{\partial}$-Neumann problem.
Advisors: Peter Ebenfelt, Ming Xiao
February 24, 2026
1:00 PM
APM 2402
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