Office Hours: N/A
Class Schedule: No Classes Spring/Summer 2023
Research Interests: Partial Differential Equations
Degrees: Brigham Young University, BS in Mathematics (2007), Purdue University, MA in Mathematics (2009), PhD in Mathematics (2013)
Prizes and Awards:
- BYU math department Distinguished Research Award
- Simons Foundation Collaboration Grant recipient
- NSF postdoc recipient.
- Research support award from Purdue Research Foundation.
Publications:
- Rectifiability and uniqueness of blow-ups for points with positive Alt-Caffarelli-Friedman limit, with D. Kriventsov and R. Neumayer, submitted [arXiv:2210.03552].
- Sharp quantitative Faber-Krahn inequalities and the Alt-Caffarelli-Friedman monotonicity formula, with D. Kriventsov and R. Neumayer, submitted [arXiv:2107.03505].
- Linear Stability Implies Nonlinear Stability for Faber-Krahn Type Inequalities, with D. Kriventsov and R. Neumayer, accepted in Interfaces Free Bound. [arXiv:2107.03495].
- The Inhomogeneous Boundary Harnack Principle for Fully Nonlinear and p-Laplace equations, accepted in Annales De l’IHP (C)-ANL, [arxiv:2010.11854].