Find Academic Supervisors

Hans-Bert Rademacher is a Professor of Differential Geometry at the University of Leipzig's Faculty of Mathematics and Computer Science, where he has held the chair since 1995. He completed his Habilitation in 1991 and earned his PhD (Dr.rer.nat., summa cum laude) in 1986 from Universität Bonn, following a Diploma in Mathematics (1983) from the same institution. Research Interests: His work focuses on differential geometry, including pseudo-Riemannian geometry, Finsler geometry, conformal geometry, Dirac operators and twistor spinors, Morse theory and closed geodesics, topology of free loop spaces, and discrete curve shortening. His research bridges geometric analysis and topology, particularly in the study of geodesic systems and curvature properties. Publication Trends: Recent articles center on closed geodesics in various geometric settings (spheres, Finsler manifolds, 3-manifolds), solitons in geometric flows, homology of loop spaces, and conformal geometry. His work frequently applies Morse theory to solve problems in global analysis and topology. Awards and Honors: University Medal (2021) Full Member, Saxon Academy of Sciences and Humanities (since 2010) Heisenberg Fellowship (1992-1995) Felix Hausdorff Memorial Prize (1985) National Mathematics Competition Winner (1978) Academic Service: He has supervised 12 PhD students and served as Dean (2011-2014) and Vice-Dean (2005-2008) of his faculty. He coordinated the Research Training Group "Analysis, Geometry and their interaction with the sciences" (2000-2010) and serves on editorial boards for several mathematics journals.

• Differential Geometry
• Pseudo-Riemannian Geometry
• Finsler Geometry
• +7 more

Barney Bramham is a Professor in the Mathematics Department at Ruhr University Bochum, affiliated with the Faculty of Mathematics and the Floer Center of Geometry. He is a core member of the Symplectic Geometry research group. His work focuses on Symplectic Topology, Dynamical Systems, and Geometric Analysis, with notable contributions to pseudo-rotations, systolic inequalities, and Reeb dynamics. Bramham has collaborated extensively on projects like the SFB/TRR 191 (Symplectic Structures in Geometry, Algebra, and Dynamics) and has authored/co-authored over 20 peer-reviewed publications. His research bridges pure mathematics with applications in topology and geometric analysis. Research interests include symplectic and contact topology, Hamiltonian dynamics, and the geometric analysis of low-dimensional manifolds. Key contributions involve systolic inequalities for spheres, rigidity of pseudo-rotations, and the use of pseudoholomorphic curves in dynamical systems. His work often intersects with differential geometry and mathematical physics. Publications span high-impact journals like Inventiones mathematicae and Annals of Mathematics , reflecting his expertise in foundational aspects of symplectic geometry. Bramham’s research also involves collaborative projects, such as the SFB/TRR 191 initiative, which explores symplectic structures across multiple mathematical disciplines.

• Symplectic Geometry
• Dynamical Systems
• Differential Geometry
• +3 more

Prof. Andreas Bernig is a faculty member at Goethe University Frankfurt am Main, affiliated with the Department of Computer Science and Mathematics. He has held a W3 professorship in Differential Geometry since October 2009 and served as Dean of the Faculty (2017-2019) and Director of the Institute for Mathematics (2022-2024). His research spans Integral Geometry, Finsler Geometry, Riemannian Geometry, Geometric Inequalities, and Geometric Measure Theory, with a focus on valuations, kinematic formulas, and curvature measures in singular and pseudo-Riemannian settings. His recent publications explore topics such as the Hard Lefschetz theorem in convex valuation theory Weyl principle for Kähler manifolds Kinematic formulas in pseudo-Riemannian space forms Dual area measures in Hermitian integral geometry Invariant valuations on complex and quaternionic spaces These works often involve collaborations with leading mathematicians like J.H.G. Fu, Gil Solanes, and Thomas Wannerer. Prof. Bernig has received notable scientific recognition, including First prize at the German Mathematical Olympiad (1991, 1992) DFG and SNFS funding for projects like "Invariants of Singular Spaces" and "Tensor Valuations" He has supervised doctoral and Master’s students such as Luca Iffland, Frederik Herget, and Frank Steinke, and actively participates in international conferences and workshops in integral geometry, convex geometry, and geometric analysis.

• Integral Geometry
• Finsler Geometry
• Riemannian Geometry
• +2 more

Christian Lange is a Research Fellow at the Mathematical Institute of Ludwig-Maximilians-Universität München (LMU Munich). He holds a PhD and specializes in differential geometry, geometric topology, and orbifold theory. His current teaching includes a lecture on Riemannian Geometry (Summer 2025), focusing on advanced topics in geometric analysis. His research emphasizes orbifold structures, geodesic flows, and curvature properties. Notable contributions include studies on closed geodesics on orbifolds, systolic inequalities, and the interplay between billiard dynamics and Alexandrov geometry. Lange collaborates internationally, addressing problems in Riemannian geometry, symplectic topology, and geometric group actions. Publications highlight work on orbifold curvature bounds, Besse metrics, and deformations of Finsler structures. His 2023 paper in Journal of the European Mathematical Society proved a diameter gap theorem for sphere quotients. He also explores connections between Lorentzian metrics and Lipschitz regularity in geometric analysis. Supported by institutions like the Simons Foundation, Lange’s work bridges pure geometry with applications in topology and mathematical physics. His research group focuses on geometry and topology, contributing to foundational questions in differential and metric geometry.

• Differential Geometry
• Geometric Topology
• Riemannian Geometry
• +3 more

Maolin Gao is a Researcher at the Computer Vision Group , TUM School of Computation, Information and Technology , and a PhD candidate at the Department of Informatics 9 , Technical University of Munich (TUM). He is supervised by Prof. Daniel Cremers and was a visiting scholar at Stanford University's Geometric Computing Lab under Prof. Leonidas J. Guibas in Summer 2024. Education : Bachelor in Physics from Tongji University (Shanghai), with exchange experience at TUM and RWTH Aachen Master's in Electrical Engineering and Information Technology from TUM, thesis on Blind Deconvolution supervised by Dr. Michael Hirsch, Prof. Philipp Hennig, and Prof. Bernhard Schölkopf at Max Planck Institute for Intelligent Systems (MPI-IS) in Tübingen Research Focus : Maolin's work bridges geometry and learning to enhance human and machine understanding of 2D/3D data. His research spans 3D shape matching , non-rigid correspondence , geometric consistency , and deep learning applications in computer vision and graphics. He also explores photometric stereo , bundle adjustment , and scale-invariant matching methods . Article Trends : His publications emphasize 3D shape analysis , including partial-to-partial matching , non-rigid deformations , and geometric consistency algorithms . Recent works like EchoMatch (CVPR 2025) and CoE (3DV 2025) highlight advancements in point cloud correspondences and cycle-consistency . Earlier papers address distributed optimization (3DV 2020) and isometric multi-shape matching (CVPR 2021). Scientific Awards : Oral Presentation Award at 3DV 2020 for Distributed Photometric Bundle Adjustment Labs & Collaborations : Affiliated with TUM CVAI Lab and Stanford Geometric Computing Lab . Collaborates with researchers like Prof. Florian Bernard and Dr. Michael Hirsch.

• Computer Vision
• 3D Shape Matching
• Geometry Processing
• +5 more

Alberto Abbondandolo is a Professor and Chairholder of Chair VII (Analysis) at the Faculty of Mathematics, Ruhr University Bochum. He is a leading researcher in symplectic geometry, dynamical systems, and Floer homology, affiliated with the Floer Center of Geometry. His work focuses on geometric analysis, Morse theory, and applications to Hamiltonian systems. He holds a PhD from Scuola Normale Superiore, Pisa (1999), and has authored/co-authored numerous publications in top journals. His research spans topics including symplectic capacities, systolic inequalities, and gradient models. He contributes to collaborative projects like SFB/TRR 191 (Symplectic Structures in Geometry, Algebra, and Dynamics). Teaching includes advanced courses on dynamical systems and differential topology. He engages in public outreach, explaining complex mathematical concepts through lectures and articles in Italian and German.

• Symplectic Geometry
• Dynamical Systems
• Floer Homology
• +3 more

Stephan Mescher is a Researcher at the Institute of Mathematics within the Faculty of Natural Sciences II at Martin Luther University Halle-Wittenberg. Based at the Georg Cantor House on Theodor-Lieser-Strasse in Halle (Saale), he conducts advanced research at the intersection of algebraic topology and differential geometry with applications in robotics. His research focuses on: Topological complexity and spherical complexities in motion planning Geodesic analysis in Riemannian and Finsler manifolds Morse theory and A-infinity algebra structures Closed geodesics and critical point theory Geometric properties of configuration spaces for robots Recent publications reveal a cohesive trajectory toward sequential topological complexity and fibered decompositions of cut loci, demonstrating how abstract topological invariants solve concrete problems in robot navigation. His work bridges pure mathematics with engineering applications through rigorous analysis of manifold structures. No scientific awards were documented in available sources. Information regarding student supervision, research grants, or collaborative teams was not provided in the source materials.

• Algebraic Topology
• Differential Geometry
• Robot Motion Planning
• +5 more

Dr. Gabriele Link is a researcher at the Institute of Algebra and Geometry within the Faculty of Mathematics at Karlsruhe Institute of Technology (KIT). She has maintained an active research and teaching career for over two decades, regularly teaching courses such as Geometric Group Theory, Differential Geometry for Geodesy students, Linear Algebra, and Mathematics for Natural Scientists across multiple semesters up to Sommersemester 2025. Her research focuses on the intersection of geometry, group theory, and dynamical systems, with particular expertise in nonpositively curved spaces and geometric group theory. Link's work explores symmetric spaces of noncompact type, limit sets of discrete isometry groups, Patterson-Sullivan measures, geometric rank one spaces, and the distribution of closed geodesics. Her research has evolved to increasingly focus on products of Hadamard spaces and higher-rank symmetric spaces, examining their asymptotic geometry and ergodic properties. Analysis of her publication record reveals a consistent trajectory in geometric group theory with a focus on nonpositively curved spaces, particularly examining the asymptotic behavior of discrete groups acting on such spaces. Her work spans theoretical foundations in symmetric spaces to specific applications in understanding orbit distributions and limit sets. The publications demonstrate increasing sophistication in handling products of Hadamard spaces and higher-rank symmetric spaces, with significant contributions to Patterson-Sullivan theory in these contexts. Dr. Link has been actively involved in seminar leadership, particularly the AG Topologie und geometrische Gruppentheorie (Topology and Geometric Group Theory Seminar) and the AG Metrische Geometrie (Metric Geometry Seminar), indicating her central role in the research community at KIT's Institute of Algebra and Geometry. Her teaching portfolio demonstrates expertise in both foundational mathematics for natural scientists and advanced topics in geometry and group theory for specialized students.

• Symmetric spaces
• Nonpositively curved spaces
• Geometric group theory
• +5 more

Prof. Rolf Sulanke is a renowned mathematician affiliated with Humboldt University of Berlin, where he held the C4 Professorship for Differential Geometry from 1992 until his retirement in 1995. His academic journey began with a Diploma in Mathematics (1955) and habilitation (1964) at Humboldt University, followed by roles as a Scientific Assistant, Senior Assistant, Lecturer, and eventually Professor of Geometry (1975). His research focuses on differential geometry, particularly Möbius geometry, projective geometry, and Cayley-Klein geometries. Key contributions include foundational work on submanifolds in Möbius space, conformal invariants, and the application of E. Cartan’s methods. He authored influential textbooks like Projective and Cayley-Klein Geometries and Introduction to Euclidean Differential Geometry . Publications span over 30 works, including studies on Crofton’s formulas, random convex polyhedra, and Lie algebra applications. His work integrates geometric theory with computational tools, notably Mathematica notebooks for tensor algebra and Möbius geometry visualization. Despite no explicitly listed awards, his academic longevity and textbook contributions highlight his impactful career.

• Differential Geometry
• Möbius Geometry
• Projective Geometry
• +5 more

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).

• Geometric Analysis
• Differential Geometry
• Relativity Theory
• +4 more

Dr. Christian Lange is a researcher at the Mathematical Institute of Ludwig-Maximilians-Universität München. His work focuses on differential geometry, topology, and related geometric structures. His research interests include Differential Geometry Orbifold Theory Symplectic Geometry Geodesic Dynamics Alexandrov Spaces Dr. Lange's recent publications explore orbifolds, systolic inequalities, geodesic flows, and their applications in contact and Lorentzian geometry. Key trends in his work involve the interplay between metric properties, group actions, and geometric invariants. He teaches courses such as Riemannian Geometry and collaborates with international researchers on projects involving orbifolds, manifolds with closed geodesics, and geometric transformations.

• Differential Geometry
• Topology
• Orbifold Theory
• +5 more

Anna Wienhard is an Honorary Professor at the University of Leipzig's Mathematical Institute and Director of the 'Geometry, Groups, and Dynamics' division at the Max Planck Institute for Mathematics in the Sciences. Her research focuses on geometric structures, representation varieties, and their applications in mathematics and data science. She leads collaborative initiatives like the International Max Planck Research School and ScaDS.AI, integrating geometric methods with machine learning. Research Interests: Her work spans higher Teichmüller theory , Anosov representations , and geometric structures on manifolds. Recent projects explore applications of Higgs bundles, moduli spaces, and persistent homology in quantum dynamics and data analysis. Publications: Her 2025 papers advance Anosov representation theory and total positivity, while 2021 works apply geometric methods to machine learning. Earlier contributions include foundational studies on maximal surface group representations and Hitchin components. Awards: Membership in the Hector Fellow Academy (2021). Grants: Leads AEI-DFG projects on stability and representation varieties, and coordinates DFG-funded clusters like STRUCTURES and SFB/TRR 191. Teaching: Oversees doctoral training programs and collaborates with Leipzig University’s Mathematical Institute. Labs/Teams: Directs the Max Planck division, collaborates with ScaDS.AI, and chairs international workshops on Teichmüller theory and geometric dynamics.

• Geometry
• Group Theory
• Dynamics
• +6 more

Kai Zehmisch is a Professor of Mathematics at Ruhr University Bochum, holding the Chair of Symplectic Geometry within the Faculty of Mathematics. His research focuses on symplectic and contact topology, particularly Reeb dynamics, holomorphic curves, and geometric analysis. He is affiliated with the Floer Center of Geometry and contributes to collaborative projects like CRC/TRR 191. Key research areas include symplectic capacities, contact structures, and applications of polyfold theory. Notable contributions include foundational work on overtwisted contact manifolds, Weinstein conjecture validations, and symplectic fillings. His recent publications address non-fillability via polyfolds and geometric rigidity in cotangent bundles. Zehmisch's work bridges dynamical systems with geometric topology, leveraging advanced techniques like holomorphic discs and surgery methods. His research often intersects with algebraic geometry and Finsler geometry, reflecting a broad yet deep engagement with modern geometric problems.

• Symplectic Geometry
• Differential Geometry
• Contact Topology
• +4 more

Peter S. Morfe is a Research Fellow at the Max Planck Institute in Leipzig, supervised by Felix Otto. He holds a Ph.D. from the University of Chicago (2022), advised by Panagiotis Souganidis. His research focuses on elliptic/parabolic PDEs, homogenization, calculus of variations, and stochastic processes. He was supported by the NSF Mathematical Sciences Postdoctoral Research Fellowship from 2022 to 2024. His educational background includes a Ph.D. in Mathematics (2022) from the University of Chicago and prior academic training leading to his postdoctoral appointment. Research interests span theoretical and applied analysis, with emphasis on homogenization theory, nonlinear PDEs, and stochastic methods. Key themes include phase transitions, effective properties of random media, and connections between PDEs and probability. His work bridges mathematical physics and materials science, addressing questions in continuum mechanics and stochastic processes. Publications highlight contributions to drift-diffusion equations, Gaussian free fields, and homogenization in heterogeneous media. Recent work explores scaling limits, Pareto peeling, and surface tension phenomena in periodic environments. Notable collaborations include studies with Felix Otto, Panagiotis Souganidis, and others in fluid dynamics and stochastic analysis. Morfe’s NSF fellowship (2022–2024) underscores recognition of his research potential. He has contributed to advancing techniques in viscosity solutions and variational principles, with applications to both pure and applied mathematical problems. His work often integrates analytical rigor with computational insights, reflecting interdisciplinary strengths.

• Partial Differential Equations
• Homogenization
• Calculus of Variations
• +3 more