My research interests are broadly within analysis and PDEs, with applications to
fracture mechanics,
geometric PDEs,
statistical learning.
Many models from materials science, such as phase separation in lithium-ion batteries or fracture in elastic materials, describe physical states through energy minimization. Similarly, optimization is at the center of statistical learning. My research leverages variational methods to extract analytical and geometric information from the energies underlying these models. Often, this provides a more direct and insightful (geometric) interpretation of the physical system.
Short CV
C.R. Wiley Instructor '24-'27 at the Unviersity of Utah
Postdoc '21-'24 at the University of Bonn hosted by Tim Laux and Sergio Conti
PhD '21 at Carnegie Mellon University advised by Irene Fonseca and Giovanni Leoni
Select papers
On the tradeoff between robustness and geometric accuracy in adversarial training
with R. Morris and R. Murray
arXiv, 2026
Variational properties of Perron's extremal solutions in the Bernoulli one-phase problem
with F. Abedin and W. Feldman
arXiv, 2026
An epsilon-regularity result for Griffith almost-minimizers in the plane
with M. Friedrich and C. Labourie
arXiv, 2025
Contact
E-mail: first initial last name at math.utah.edu
Recommended reading
If you have ended up here with a little free time, I recommend Ted Chiang's "Story of Your Life". Besides being a great read, the calculus of variations even pops up, so you can bill it as math.