Homepage of Onur Alper

Position:

Visiting assistant professor, Department of Mathematics, Purdue University, August 2017-Present.

Education:

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.

Teaching:

In Fall 2018 I am teaching Math 26600: Ordinary Differential Equations.