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.

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

Johns Hopkins Mathematical Physics Seminar, February 2026
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:
MATH181 Math Everywhere (Spring 2026)
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.