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
To appear in Archive for Rational Mechanics and Analysis, 2017.
Uniqueness of planar tangent maps in the modified Ericksen model
In Spring 2018 I am teaching Math 26600: Ordinary Differential Equations.