I am a visiting assistant professor at the Department of Mathematics at Purdue University.
Previously, I was a PhD student at New York University's Courant Institute of Mathematical Sciences, under the supervision of Professor Fang-Hua Lin.
Email: oalper [at] purdue [dot] edu
Calculus of variations and nonlinear partial differential equations. In particular: harmonic maps and liquid crystals.
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
Uniqueness of planar tangent maps in the modified Ericksen model
In Fall 2017 I am teaching Math 26600: Ordinary Differential Equations.