Visiting assistant professor, Department of Mathematics, Purdue University, August 2017-Present.
Email: oalper [at] purdue [dot] edu
Calculus of variations and nonlinear partial differential equations.
In particular: harmonic maps into singular spaces, liquid crystals, eigenvalue-optimal partition problems.
Defects of liquid crystals with variable degree of orientation
with Robert Hardt and Fang-Hua Lin,
Calc. Var. PDE, 56(5): 128, 2017.
Rectifiability of line defects in liquid crystals with variable degree of orientation
Arch. Ration. Mech. Anal., 228(1): 309-339, 2018.
Uniqueness of planar tangent maps in the modified Ericksen model
To appear in Indiana Univ. Math. J.: 7733. Submitted in 2017.
On the singular set of free interface in an optimal partition problem
In Fall 2018 I am teaching Math 26600: Ordinary Differential Equations.