Abstract

We present new estimates for the size and structure of the nodal and singular sets of parabolic equations. In fact, we obtain estimates of the quantitative nodal and singular sets following the works of Naber-Valtorta, Cheeger-Jiang-Naber, and others for elliptic equations. This is a joint work with Max Hallgren and Robert Koirala.

Short bio

PhD at University of California San Diego, 2017-2022. Advisors: Prof. Bennett Chow, Prof. Lei Ni.

Hill Assistant Professor (postdoc) at Rutgers University, 2022-2025. Mentor: Prof. Nataša Šešum.

Assistant Professor at University of Tennessee Knoxville, 2025-present.

Zoom meeting

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