Alvis Zahl

Ph.D. Candidate in Mathematics at Rutgers University

My Photo
“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, and am currently on the market for postdoc positions.
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. Accepted pending minor revisions (2025). Arxiv.

Undergraduate Thesis

Zahl, A. First Order Hyperbolic Boundary Value Problems With a Large Oscillatory Zero Order Term. Preprint (2021). Arxiv. Advisor: Mark Williams

Service

Reviewer, Mathematical Reviews (MathSciNet), American Mathematical Society, 2025–present.


Miscellaneous

Photography: Here Alvis Zahl

Alvis Zahl

Ph.D. Candidate in Mathematics at Rutgers University

My Photo
“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, and am currently on the market for postdoc positions.
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. Accepted pending minor revisions (2025). Arxiv.

Undergraduate Thesis

Zahl, A. First Order Hyperbolic Boundary Value Problems With a Large Oscillatory Zero Order Term. Preprint (2021). Arxiv. Advisor: Mark Williams

Service

Reviewer, Mathematical Reviews (MathSciNet), American Mathematical Society, 2025–present.


Miscellaneous

Photography: Here