Sam Craig

5th Year PhD Student, UW-Madison Department of Mathematics

Contact Info:
Email: secraig2@wisc.edu
Address: Van Vleck Hall, Office 520

I am on the job market this fall. Here is my CV.

Over Fall '26, I am the instructor for MATH 234 - Functions of Several Variables. Course material for that course can be found on Canvas. In Summer '24, I taught the SEP analysis qualifying exam course. Here are the materials for that course.

My research interests are harmonic analysis and geometric measure theory. My advisor is Betsy Stovall.

Papers:

• Scaling line restriction estimates for negatively curved surfaces in R^3.
  In preparation 2026.
• The quasi-Assouad dimension of (1,2t)-Furstenberg sets in R^3 is extremized by sticky sets.
  https://arxiv.org/abs/2510.06462. 2025.
  I do not plan on publish this preprint as the main result can also be derived as a corollary of Wang and Zahl's earlier solution of the Kakeya conjecture in R^3.
• Failure of weak-type endpoint restriction estimates for quadratic manifolds
  J Geom Anal 35, 382 (2025). https://doi.org/10.1007/s12220-025-02209-8.
  (or https://arxiv.org/abs/2407.15034)
• On optimal constants in the Poincare inequality over convex domains, (expository) 2021.
• On the Schramm-Loewner evolution, (expository) 2020.