CV
Email: kevin [dot] dembski [at] duke [dot] edu

I am a fifth year PhD student in the department of mathematics at Duke University. My supervisor is Professor Tarek Elgindi. Before this, I completed a master's in mathematics and bachelor's in mathematics and physics at the University of Toronto. My master's summer project was supervised by Professor Fabio Pusateri. I am interested in analysis of PDE's and particularly problems related to fluids. More specifically, I have worked on singularity formation in incompressible fluids. I am currently on the job market for the 2026-2027 academic year.

Singularity Formation in the Inviscid Porous Medium Equation without Boundary Mass (preprint)
On scale-invariant solutions to the SQG equation (preprint)

CUNY Graduate Center Harmonic Analysis and PDE Seminar, January 2026
UCSD Analysis Seminar, November 2025 (slides)

Instructor of Record:
MATH112 Laboratory Calculus II (Fall 2023)
MATH105 Lab Calculus and Functions I (Spring 2025)

Teaching Assistant:
MATH531 Real Analysis I (Graduate) Fall 2024
MATH202 Multivariable Calculus for Economics Spring 2023
MATH111 Laboratory Calculus Fall 2021

University of Toronto
Teaching Assistant:
MAT235: Multivariable Calculus (Summer 2021)
MAT224: Linear Algebra II (Fall 2020, Winter 2021)
MAT136: Calculus II (Winter 2019, Winter 2020)
MAT135: Calculus I (Fall 2019)

I also ran the St. Michael's College Math Success Centre throughout the 2020-2021 school year.