Ph.D. in Mathematics: Courant Institute of Mathematical Sciences, New York University, September 2017.
Advisor: Professor Fang-Hua Lin.
Thesis: Topological defects in nematic liquid crystals.

M.Sc. in Mathematics: ETH Zürich, March 2012.

A.B. in Mathematics: Harvard University, May 2010.

Contact:

Email: oalper [at] purdue [dot] edu

Research Interests:

Calculus of variations and nonlinear partial differential equations.
In particular: harmonic maps into singular spaces, liquid crystals, eigenvalue-optimal partition problems.

Papers:

Defects of liquid crystals with variable degree of orientation
[arXiv:1610.06592]
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
[arXiv:1706.02734]
Arch. Ration. Mech. Anal., 228(1): 309-339, 2018.

Uniqueness of planar tangent maps in the modified Ericksen model
[arXiv:1706.04098]
To appear in Indiana Univ. Math. J.: 7733. Submitted in 2017.

On the singular set of free interface in an optimal partition problem
[arXiv:1805.03191]
Submitted, 2018.