Alvis Zahl
“Nothing behind me, everything ahead of me, as is ever so on the road.”
My interests lie in free boundary problems and partial differential equations.
I obtained my Ph.D. in Mathematics in May 2026 from Rutgers University under the advisory of Dennis Kriventsov.
Here is my CV.
Before my graduate studies, I graduated with honors from University of North Carolina at Chapel Hill in May 2021.
I am also avtively involved in triathlon trainings.
My person can sometime be found at my office
Room: 618， Hill Center,
110 Frelinghuysen Road,
Piscataway, NJ 08854.
(347)699-8688
a.z@math.rutgers.edu
Publications and Preprints
Zahl, A. Fully Nonlinear Alt Phillips Problem: Higher Free Boundary Regularity. In preparation.
Zahl, A. Minimizing Eigenvalues of the Fractional Laplacian. Calc. Var. Partial Differ. Equ. (2026). Paper.
Undergraduate Thesis
Zahl, A. First Order Hyperbolic Boundary Value Problems With a Large Oscillatory Zero Order Term. Preprint (2021). Arxiv. Advisor: Mark Williams
Service
Referee for Journal de l'École polytechnique — Mathématiques (JEP).
Reviewer for Mathematical Reviews (MathSciNet), American Mathematical Society.
Organized Events
PDE Coffee Chat: an online seminar and discussion series on partial differential equations.
Miscellaneous
Photography: Here