Selim Esedoglu

Selim Esedoglu is a Professor of Mathematics at the University of Michigan, affiliated with the College of Literature, Science, and the Arts (LSA). He holds a Ph.D. from the Courant Institute (2000) and an M.S. from the same institution (1998). His research focuses on mathematical problems in image processing, computer vision, and materials science, employing methods from calculus of variations and partial differential equations. Key areas include geometric motion of interfaces, grain growth simulations, and algorithm development for scientific computing. His work emphasizes numerical methods for evolving networks via mean curvature motion and anisotropic surface energies.

Education:

• M.S., Courant Institute, 1998
• Ph.D., Courant Institute, 2000

Research Interests:

Esedoglu's research spans applied mathematics and computational science, with emphasis on:

• Geometric partial differential equations
• Algorithms for interface motion (e.g., motion by mean curvature)
• Grain growth dynamics in polycrystalline materials
• Image processing techniques (segmentation, denoising, inpainting)
• Numerical methods for gradient flows and phase field models

Grants & Awards:

His research has been supported by NSF grants (DMS-0410085, DMS-0713767, DMS-0748333) and an Alfred P. Sloan Fellowship. Projects include collaborations with Los Alamos National Laboratory on materials science simulations.

Current Projects:

• Development of high-order schemes for gradient flows and interfacial motion
• Algorithms for grain boundary motion in 3D polycrystals
• Analysis of coarsening rates in ill-posed diffusion equations

Labs/Teams:

Collaborates with interdisciplinary teams in materials science and computational mathematics, including researchers at the University of Michigan and international institutions.