David Knapik

David Knapik

PhD Student in Mathematics

University of Toronto

I am a second year PhD student at the Department of Mathematics at the University of Toronto. Previously, I completed my Bachelor’s and Master’s degrees in Mathematics at McGill University. For my Master’s degree, I explored self-affine and self-similar fractal sets, with a focus on dimension theory as well as the spectrum of the Laplacian on such sets. During this time, I was very fortunate to be jointly supervised by professors Dmitry Jakobson and Linan Chen.

Interests
  • Partial Differential Equations
  • Spectral Theory
  • Inverse Problems
Education
  • PhD - Mathematics, 2025 (expected)

    University of Toronto

  • MSc - Mathematics and Statistics, 2021

    McGill University

  • BSc - Honours Applied Mathematics , Minor - Physics, 2019

    McGill University

News

Professor Rustum Choksi’s undergraduate text in PDEs has been published. Check it out at the AMS - Partial Differential Equations: A First Course

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