Malik Tuerkoen

Malik Tuerkoen is a Visiting Assistant Professor at the University of California, Irvine, a position held since July 2025. His research centers on Geometric Analysis with applications to manifold theory and differential equations.

Education:

• PhD from University of California, Santa Barbara (advisor: Guofang Wei)

Research Interests:
Specializing in Differential Geometry and Spectral Geometry, his work investigates concavity properties of elliptic PDE solutions, fundamental gap estimates on Riemannian surfaces, and spectral analysis of conformally flat manifolds. Key methodologies include geometric inequalities, eigenvalue problems, and manifold learning techniques for shape analysis.

Publication Trends:
From 2023-2025, publications consistently address geometric analysis problems, particularly concavity properties (7 of 7 papers), spectral gaps (4 papers), and manifold geometry (6 papers). Recent work extends to computational applications through the Geomstats project for landmark and shape analysis.

Scientific Awards:
No awards documented in the provided text.

Advising and Grants:
The text does not specify advisees, grant funding, or collaborative projects beyond co-authorships.

Labs and Teams:
No laboratory affiliations or research team structures are mentioned.