Alvis Zahl
“Nothing behind me, everything ahead of me, as is ever so on the road.”
My interests lie in partial differential equations, in particular free boundary problems for elliptic equations.
I am working under the advisory of Dennis Kriventsov.
I am expected to graduate in May 2026, after which I will join Arizona State University as a Postdoctoral Research Scholar.
Here is my CV.
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.
Miscellaneous
PDE Coffee Chat: Here
Photography: Here