Alexander Lytchak

Professor Alexander Lytchak is a distinguished faculty member at the Karlsruhe Institute of Technology (KIT), where he serves in the Faculty of Mathematics within the Institute of Algebra and Geometry. His office is located in Kollegiengebäude Mathematik (20.30), room 1.029, and he maintains regular office hours by appointment. Professor Lytchak has a substantial research portfolio in geometric mathematics and continues to be actively engaged in academic teaching, with scheduled courses for Summer Semester 2025 including Differential Geometry lectures and seminars.

Professor Lytchak's research interests focus primarily on metric geometry and its intersections with differential geometry, Riemannian geometry, and geometric group theory. His work explores fundamental questions in CAT(0) spaces, curvature bounds, submetries, and Alexandrov spaces. His research program demonstrates a consistent focus on understanding geometric structures through metric properties, with particular attention to regularity questions, topological implications of curvature conditions, and applications to broader mathematical frameworks. His collaborative work with prominent mathematicians like Stefan Wenger, Anton Petrunin, and Vitali Kapovitch has produced significant contributions to the field.

The publication record of Professor Lytchak reveals a sustained research trajectory with increasing sophistication in handling complex geometric structures. His recent work shows a progression from foundational questions about metric spaces toward more specialized investigations of curvature constraints and their implications. The consistent publication in top-tier mathematics journals such as Journal of Differential Geometry, Geometric and Functional Analysis, and Journal of the European Mathematical Society demonstrates the significance and impact of his contributions to geometric analysis.

Professor Lytchak leads the Geometry Research Group and the Metric Geometry Research Group at KIT's Institute of Algebra and Geometry. He regularly offers the AG Geometrie seminar and teaches advanced courses in Differential Geometry. His teaching portfolio includes both undergraduate and graduate level instruction, with recent courses spanning Linear Algebra, Introduction to Algebra and Number Theory, and specialized topics like The Gromov-Hausdorff Space. His commitment to mathematical education extends beyond the classroom through his active research supervision and participation in the mathematical community.