Martin Kell

Martin Kell is a Senior Lecturer at the Department of Mathematics within the Faculty of Mathematics and Natural Sciences at the University of Tübingen. His work bridges geometric analysis and optimal transport theory, with a focus on metric spaces, curvature conditions, and non-linear PDEs.

Education:

• Diplomarbeit (Master's Thesis): Conley Index of Isolated Equilibria, University of Rostock (2010)
• Dissertation: On Curvature Conditions Using Wasserstein Spaces, University of Leipzig (2014)

Research Interests

Kell explores the interplay of geometry and analysis, particularly in generalized curvature, geometric flows, and curvature-isoperimetry relations. His work includes studying metric spaces where Sobolev spaces are non-linear, aiming to define analogues of Alexandrov curvature for non-Riemannian settings.

Publications Trends

Kell’s research spans geometric analysis, differential geometry, and optimal transport. Key themes include non-linear gradient flows, Ricci curvature bounds, and metric space convergence.

Teaching

He has taught advanced courses such as:

• Optimal Transport (2016/2017): Covering transport mappings, entropy functionals, and geometric inequalities.
• Linear Partial Differential Equations (2017): Focusing on elliptic/parabolic equations, Sobolev spaces, and regularity theory.
• Limits of Spaces (2019): Introducing Gromov-Hausdorff convergence, Alexandrov geometry, and stability theorems.

Contact: room_c6p34@uni-tuebingen.de (reconstructed from departmental contact structure).