معرفی
Demetre P Kazaras is an Assistant Professor in the Department of Mathematics at Michigan State University. His research focuses on differential geometry, topology, and general relativity, with particular emphasis on scalar curvature of Riemannian manifolds and geometric problems in spacetime. He holds a PhD from the University of Oregon (2017) and has held postdoctoral positions at Stony Brook University (2017-2020) and Duke University (2020-2023).
Education:
- PhD in Mathematics, University of Oregon, 2017 (Advisor: Boris Botvinnik)
Research Interests: Dr. Kazaras explores geometric and topological questions related to scalar curvature, minimal surfaces, and general relativity. His work combines tools from elliptic PDEs, minimal hypersurfaces, and topological methods to address foundational problems such as the Geroch conjecture, stability of the positive mass theorem, and geometric constructions like 'minimal mod-3 surfaces.'
Advising & Mentoring:
- Directed undergraduate research projects at Duke University (2022) and CUNY Lehman/Stony Brook (2019), involving students in topics like minimal surfaces and smocked metric spaces.
- Advised over 15 students, including co-authorship of papers such as Smocked metric spaces and their tangent cones.
Labs/Teams: Collaborates with researchers like Hugh Bray, Sven Hirsch, and Marcus Khuri on projects involving spacetime harmonic functions and geometric analysis. Active in organizing research programs for undergraduate and graduate students, emphasizing hands-on exploration of geometric problems.
