Logan Stokols, PhD

About Me

I left academia in 2024 to look for new challenges and opportunities to make an impact in a rapidly changing world.

Since then I've seen the barriers that keep great ideas from becoming reality, which is why I'm working on BeneDoc.

My co-founder Bryan and I have received a generous grant from ACX (see the public post here) to build an open-source FDA submission tool aimed at reducing barriers for the new wave of software-based medical devices. More details to come, feel free to contact me if you want to get involved.

Interests

• Math: PDE, Fluids, De Giorgi's Method, Nonlocal Equations, Kinetic Equations, Degenerate Ellipticity
• Engineering: Python, Go, Typescript, Bash, Machine Learning, Actor-Critic Methods
• Other: Movies, (Pop Culture) ∩ (Critical Analysis), Chaos Magick, Post-Rationalism

CV

• Co-founder (2025-present) BeneDoc (currently incorporating)
• Lead Scientist (2024-present) Harpocrates, Inc.
• Phillip Griffiths Assistant Research Professor (2021-2024) Duke University, 3-year appointment
• Postdoctoral Fellow (2020-2021) Fields Institute, part of Thematic Program on Mathematical Hydrodynamics
• PhD (2020) UT Austin, Advised by Alexis Vasseur
• B.A. (2014) Mathematics, University of California at Berkeley

Publications

• L²-type Contraction of Viscous Shocks for Large Family of Scalar Conservation Laws
  L Stokols
  Submitted

• Holder Regularity up to the Boundary for Critical SQG on Bounded Domains
  L Stokols, A Vasseur
  To Appear, Archive for Rational Mechanics and Analysis

• Holder Continuity for a Family of Nonlocal Hypoelliptic Kinetic Equations
  L Stokols
  To Appear, SIAM Journal on Mathematical Analysis (SIMA)

• De Giorgi Techniques Applied to Hamilton-Jacobi Equations with Unbounded Right-Hand Side
  L Stokols, A Vasseur
  Communications in Mathematical Sciences, 16 (2018) no. 6

• On Structural Decompositions of Finite Frames
  A Chan, M Copenhaver, S Narayan, L Stokols, A Theobold
  Advances in Computational Mathematics, 42 (2016) no. 3

Errata

List of known errors/typos in published works.
If you are aware of any errors in my work, no matter how small, please contact me. I know well the frustration of closely reading a paper and wondering if something is an error or I merely lack an understanding of what the author intended. I have no desire to inflict that frustration on others if I can avoid it.