Find Academic Supervisors

• Applied Geometry
• Discrete Differential Geometry
• Numerical Analysis
• +3 more

Max Wardetzky is a Professor at the Institute for Numerical and Applied Mathematics within the Faculty of Mathematics and Computer Science at the University of Göttingen, Germany. His office is located at Lotzestraße 16-18, 37083 Göttingen, and he can be reached via email at wardetzky@math.uni-goettingen.de or by phone at +49 551 39 26778. Professor Wardetzky leads the Discrete Differential Geometry Lab at the University of Göttingen, where he conducts research at the intersection of mathematics, computer science, and geometry processing. His work bridges theoretical foundations with practical applications in computer graphics and scientific computing. His primary research interests include: Applied Geometry Discrete Differential Geometry Numerical Analysis Geometry Processing Physical Simulation Computer Graphics Professor Wardetzky's extensive publication record demonstrates significant contributions to the field of discrete differential geometry and its applications. His work shows a consistent focus on developing mathematically rigorous yet computationally efficient methods for geometric problems. Key trends in his research include the development of discrete analogues of smooth geometric objects, the study of convergence properties between discrete and continuous models, and the application of these methods to problems in computer graphics and physical simulation. Professor Wardetzky has made substantial contributions to the theoretical foundations of discrete differential geometry while maintaining strong connections to practical applications. His work on discrete Laplacians, curvature approximations, and geometric flows has influenced both theoretical mathematics and practical geometry processing algorithms.

• Differential Geometry
• Integrable Systems
• Loop Group Method
• +3 more

Professor Josef Dorfmeister is a faculty member at the Technical University of Munich , affiliated with the TUM School of Computation, Information and Technology and the Department of Mathematics . His research focuses on differential geometric methods and integrable systems. Research Interests : Differential Geometry of Surfaces Integrable Systems Loop Group Method Publication Trends : Dorfmeister’s recent work (2022–2015) explores minimal surfaces in non-Euclidean geometries (e.g., Heisenberg group), Willmore surfaces in spheres, and integrable systems via loop groups. Key themes include conformal geometry, Lagrangian submanifolds, and symmetry-preserving surface deformations. Office Information : Email: josef.dorfmeister@tum.de Location: Groups Kuttler and Zimmer (MI building 04, 3rd floor), Group Müller (MI building 06, 2nd floor)

Luca RizziView profile

Professor

• Geometric Control Theory
• Sub-Riemannian Geometry
• Optimal Control
• +1 more

Luca Rizzi is a Full Professor at International School for Advanced Studies (SISSA) in Trieste, Italy, where he serves as the Coordinator of the PhD program in Mathematical Analysis, Modeling, and Applications and Principal Investigator of the ERC Starting Grant Project GEOSUB (2022-2026). His research focuses on Geometric Control Theory and Sub-Riemannian Geometry, with significant contributions to the geometric analysis of spaces with non-holonomic constraints. His research interests include: Geometric Control Theory Sub-Riemannian Geometry Optimal Control Problems Geometric Analysis Rizzi leads the GEOSUB project developing geometric and functional interpolation inequalities for sub-Riemannian manifolds, with implications for geometric analysis on non-smooth spaces, hypoelliptic operators, and geometric measure theory. His work bridges theoretical mathematics with applications in control theory and geometric structures. His scientific recognition includes: ERC Starting Grant for Project GEOSUB (2022-2026) Rizzi mentors PhD students Dario Sterzi and Daniele Tiberio, and supervises postdocs Samuel Borza, Giorgio Stefani, and Ye Zhang. He organizes the Geometric Structures seminar at SISSA and manages a sub-Riemannian community mailing list with over 200 subscribers. He has organized numerous conferences including the Workshop on Geometric Variational Problems in Sub-Riemannian Geometry (2025), Riemann 200: Mathematics and Physics (2026), and the XXXV Convegno Nazionale di Calcolo delle Variazioni (2026). As a member of the editorial board of the Journal of Dynamical and Control Systems, Rizzi actively contributes to advancing research in his field through academic service and international collaboration.

Claudio GorodskiView profile

Professor

• Differential Geometry
• Lie Groups and Representations
• Riemannian Geometry
• +3 more

Claudio Gorodski is a Full Professor at the Department of Mathematics of the University of São Paulo (USP), affiliated with the Institute of Mathematics and Statistics (IME). His research focuses on Differential Geometry, particularly in areas such as Riemannian geometry, symmetric spaces, Lie group representations, and geometric structures. He serves as Editor-in-Chief of the São Paulo Journal of Mathematical Sciences . He teaches advanced courses including Geometric Analysis, Riemannian Geometry, and Differential Topology. Recent courses include 'Geometria Riemanniana' (Riemannian Geometry) and 'Grupos de Lie Compactos e Suas Representações' (Compact Lie Groups and Their Representations). His research group organizes a bi-weekly seminar on Differential Geometry. Key research interests include the geometry of isometric actions, submanifold theory, and the interplay between algebraic structures (Lie groups) and geometric objects. His work often explores curvature properties, symmetry, and classification problems in geometric spaces. He has authored over 60 research articles and a textbook on Smooth Manifolds. His contributions span topics like orbit space geometry, polar actions, and geometric analysis in symmetric spaces. Current projects include studies on positively curved manifolds, diameter gaps in sphere quotients, and representation-theoretic aspects of geometric actions.

Wolfram BauerView profile

Professor

• Analysis on Manifolds
• Operator Theory
• Operator Algebras
• +3 more

Prof. Wolfram Bauer is a Professor in the Faculty of Mathematics and Physics at Leibniz University Hannover, affiliated with the Institute of Analysis. His research focuses on operator theory, subriemannian geometry, and spectral analysis, with notable contributions to Toeplitz operators, geometric analysis, and microlocal analysis. He co-edits the journal Applied Analysis and Optimization and actively organizes international workshops on global and microlocal analysis. His teaching encompasses advanced topics such as operator algebras, functional analysis, and subriemannian structures, reflecting his research expertise. Bauer has presented at numerous conferences, including the Microlocal and Global Analysis series in Potsdam and specialized workshops on Lie groups and geometric analysis. Key Research Areas: Analysis on manifolds, pseudodifferential operators, subriemannian geometry. Recent Workshops Organized: 2025: Microlocal and Global Analysis Workshop, Potsdam 2024: Modern Aspects of Analysis on Lie Groups, Göttingen

Barbara GrisView profile

Research Fellow

• Shape Analysis
• Image Processing
• Computational Anatomy
• +3 more

Barbara Gris is a CNRS Research Fellow at the Jacques-Louis Lions Laboratory, Sorbonne University, Paris, and member of the Inria CAGE research team. Her academic career bridges mathematical theory and biomedical applications through computational anatomy. Her primary research focuses on shape analysis and image processing , specializing in constrained large deformation models for computational anatomy. Her work integrates sub-Riemannian geometry with practical applications in medical imaging and biological data analysis. Current projects include the Morphometry under constraints initiative funded by Paris City's Emergence(s) program and development of the IMODAL library for deformation modeling. Her recent publications reveal strong trends in diffeomorphic deformation modeling (70% of recent work), computational anatomy applications (100%), and interdisciplinary collaborations spanning mathematics, computer vision, and neuroscience. Key publication venues include CVPR, SIAM journals, and eLife. Supervises PhD candidate Rayane Mouhli (since Dec 2023) Leads the Morphometry under constraints project funded by Paris City Emergence(s) program Organizes the Shape Analysis Seminar series at Inria Paris Dr. Gris maintains active laboratory presence through the Jacques-Louis Lions Laboratory and Inria CAGE team, where she develops computational tools like IMODAL for deformation modeling and shape analysis. Her collaborative network spans multiple institutions including ENS Cachan (where she completed her PhD) and international research groups in medical imaging.

Anton LukyanenkoView profile

Associate Professor

• Metric Geometry
• Sub-Riemannian Geometry
• Dynamical Systems
• +10 more

Anton Lukyanenko is an Associate Professor in the Department of Mathematical Sciences at George Mason University (GMU). He conducts research at the intersection of metric geometry, analysis, dynamical systems, group theory, and number theory, with a focus on sub-Riemannian spaces and applications to computer science, biology, and robotics. He emphasizes computation and visualization in his work. On the teaching side, Lukyanenko prioritizes early access to research-level mathematics through programs like the Mason Experimental Geometry Lab (MEGL). He employs inquiry-based learning (IBL) and groupwork-focused pedagogy, particularly in courses such as "Mathematics of Cryptography: An Introduction" and advanced topics like geometric group theory. His teaching spans undergraduate to graduate levels, including distance-learning formats. Contact details: Email: alukyane@gmu.edu Office: 4113 Exploratory Hall, GMU He has previously taught at the University of Michigan, University of Illinois Urbana-Champaign, and University of Maryland College Park, often designing IBL-style courses for both university and high school students.