Trestle Hustle Duathlon (6/17/2023)
My first duathlon and my first multisport race since 2017…… Read More Trestle Hustle Duathlon (6/17/2023)
Month: June 2023
Modulus of Concavity and Fundamental Gap Estimates on Surfaces
Malik Tuerkoen, Guofang Wei and I have just uploaded our paper “Modulus of Concavity and Fundamental Gap Estimates on Surfaces” to the Arxiv. This paper studies the fundamental gap problem on surfaces with positive curvature and obtains bounds on the gap whose leading order term is sharp. More precisely, we show the following. Main Theorem:… Read More Modulus of Concavity and Fundamental Gap Estimates on Surfaces
Twisted Curves and Curve Shortening Flow
A few weeks ago, I uploaded the preprint Curvature-Torsion Entropy for Twisted Curves under Curve Shortening Flow to the Arxiv, which has been accepted in the Bulletin of the Australian Math Society. This paper studies curve shortening flow, which is the geometric flow defined by the equation where is a smooth curve in , is… Read More Twisted Curves and Curve Shortening Flow
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