Find Academic Supervisors

• Stochastic Analysis
• Optimal Transport
• Ricci Flows
• +3 more

Eva Kopfer is an Associate Professor at the University of Bonn's Institute for Applied Mathematics, Department of Stochastic Analysis. Her research focuses on stochastic analysis, optimal transport theory, Ricci flows, and geometric analysis. She has led courses on stochastic analysis, financial mathematics, and advanced calculus. Notable contributions include work on exponential ergodicity for kinetic SDEs, stochastic homogenization of transport problems, and quantum gravity measures on manifolds. Her research interests bridge probability theory, differential geometry, and functional analysis, with applications to geometric flows and metric measure spaces. Recent work explores conformally invariant random fields, polyharmonic structures in quantum gravity, and generalized Ricci flow dynamics. She has collaborated extensively on projects involving discrete-to-continuous limits in optimal transport and Liouville quantum gravity measures. Publications highlight advancements in stochastic differential equations, ergodic theory, and geometric PDEs. Her work often integrates probabilistic methods with geometric analysis, yielding insights into transport phenomena and manifold structures. Current research themes include non-equilibrium systems, functional inequalities, and random geometric structures. Eva Kopfer's academic contributions are evident in high-impact journals like Journal of Functional Analysis and Communications in Pure and Applied Mathematics. She actively engages in seminar series and lecture series at the University of Bonn, covering topics from stochastic calculus to frontiers in economics and mathematics.

Jeremy ToulisseView profile

Lecturer

• Higher-rank Teichmüller theory
• Anosov representations
• Higgs bundles
• +4 more

Jeremy Toulisse is a Lecturer at the University of Nice - Sophia Antipolis, where he works within the Faculty of Sciences at the J.A. Dieudonné Mathematics Laboratory (UMR n° 7351 CNRS UNS). His office is located at number 713 in Nice, France. Toulisse holds an HDR (Habilitation à Diriger des Recherches), which qualifies him to supervise PhD students in the French academic system. Toulisse's research focuses on advanced geometric structures and representation theory. His primary interests include Higher-rank Teichmüller theory and Anosov representations, Higgs bundles, harmonic applications, pseudo-Riemannian geometry, minimal and maximal surfaces, and quantum Teichmüller theory. His work bridges differential geometry, topology, and mathematical physics, with particular emphasis on geometric structures arising from surface group representations. Analysis of Toulisse's publication record reveals a consistent focus on geometric structures in pseudo-Riemannian settings, particularly examining maximal and minimal surfaces in various geometric contexts. His research shows strong connections between representation theory, harmonic maps, and geometric analysis, with increasing attention to higher-rank generalizations of classical Teichmüller theory. The progression of his work demonstrates movement from foundational studies in hyperbolic geometry toward more complex structures in pseudo-hyperbolic spaces and symmetric spaces. Toulisse has been actively involved in the mathematical community through workshop organization. He has co-organized multiple specialized workshops including the Workshop on Anosov representations (2021), the Workshop on Minimal surfaces in symmetric spaces and Labourie's conjecture (2022), and the Relative character varieties and parabolic Higgs bundles workshop (2018). These workshops, often funded by organizations like the European Research Council and Persyval-Lab, focus on cutting-edge topics in geometric representation theory and attract researchers from around the world. As part of the J.A. Dieudonné Mathematics Laboratory, Toulisse contributes to one of France's prominent mathematics research centers. His work intersects with several research teams within the laboratory that focus on differential geometry, topology, and mathematical physics. The collaborative nature of his publications, particularly with researchers like François Labourie, Brian Collier, and Nicolas Tholozan, demonstrates his integration into international research networks focused on geometric structures and representation theory.

Daniel Peralta-SalasView profile

Professor

• Dynamical Systems
• Partial Differential Equations
• Differential Geometry
• +13 more

Daniel Peralta-Salas is a CSIC Research Professor and Chair of the Group 'Differential Geometry and Geometric Mechanics' at the Institute of Mathematical Sciences (ICMAT) in Madrid, Spain. ICMAT is a joint research institute of the Spanish National Research Council (CSIC) and several Madrid universities. He is an active researcher with leadership roles in the ICMAT board and multiple international advisory boards. PhD in Mathematics, Universidad Complutense de Madrid, 2006 His research lies at the intersection of dynamical systems , partial differential equations , and differential geometry , with applications in fluid mechanics, plasma physics, quantum mechanics, and mathematical physics. He has developed a unifying theory to study geometrically complex structures in physical models. His work includes proving long-standing conjectures by Arnold, Lord Kelvin, and Michael Berry, and constructing fluid flows that simulate universal Turing machines, thereby demonstrating undecidable dynamics in fluid particle paths. The most recent articles highlight his ongoing focus on steady Euler flows , topological obstructions in magnetic fields , optimal eigenvalue problems , and Turing universality in fluid dynamics . His publications span geometric analysis, spectral theory, and mathematical physics, often combining deep topological insight with PDE techniques. He has developed novel methods such as global approximation and inverse localization, which have broad implications across mathematical physics. His scientific awards include: ERC Starting Grant (2014–2019) Barcelona Dynamical Systems Prize (2015) Plenary Speaker, European Congress of Mathematics (2016) The Floer Lectures (2019) MINT Distinguished Lectures, Tel Aviv (2020) Plenary Speaker at major national and international mathematical societies (2021–2024) EMS Distinguished Speaker (2023) Peralta-Salas advises and collaborates extensively with researchers including Alberto Enciso, Robert Cardona, Eva Miranda, and others. His work has been supported by prestigious grants such as the ERC Starting Grant. He has published over 100 papers in top journals including Annals of Mathematics , Acta Mathematica , PNAS , and Physical Review Letters . He is a member of editorial boards for journals such as Revista Matemática Iberoamericana and Journal of Dynamics and Differential Equations , and serves on the scientific advisory board of IMTECH (UPC-Barcelona Tech). He leads the research group on Differential Geometry and Geometric Mechanics at ICMAT, which focuses on geometric structures in dynamical systems and PDEs. The group explores topics like Beltrami fields, vortex dynamics, and topological aspects of eigenfunctions. Their work is highly collaborative and interdisciplinary, bridging pure mathematics and theoretical physics.

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.

• Mathematical Methods in Signal Processing
• Data Science
• Dynamical Systems
• +5 more

Nada Sissouno is a Professor of Mathematics and Didactics of Mathematics at the Faculty of Electrical Engineering, Media and Informatics at Amberg-Weiden University of Applied Sciences since November 2023. She also serves as Vice Dean and Co-head of the Competence Center Grundlagen (CCG). Additionally, she maintains a position as a guest researcher at the Research Group: Applied and Numerical Analysis and Optimization and Data Analysis at the Technical University of Munich (TUM). Her educational background includes a Doctorate in Mathematics (Dr. rer. nat.) from TU Darmstadt (2007-2011) and a Diplom in Mathematics with a minor in psychology from TU Darmstadt (2000-2007). She has completed further education as a Diversity Manager in 2021 and holds certificates in teaching in higher education from the Bavarian Universities (2014-2016). Professor Sissouno's research focuses on mathematical methods in signal and image processing, data science, dynamical systems, numerical simulation, and approximation theory. Her work particularly emphasizes spline functions on domains, wavelets and frames, and evidence-based development of teaching methodologies. Her recent publications demonstrate strong expertise in mathematical imaging, phase retrieval problems, and approximation theory, with applications spanning ptychographic imaging, variational inpainting methods, and structural sparsity in multiple measurements. Her collaborative research bridges theoretical mathematics with practical applications in signal processing and image analysis, with a particular focus on developing robust numerical algorithms for complex data analysis problems. She has published in prestigious journals including Advances in Computational Mathematics, Journal of Fourier Analysis and Applications, IEEE Transactions on Signal Processing, and Inverse Problems. Referentin für Talentmanagement & Diversity at TUM (2022-2023) Deputy spokesperson of Research Associates' Council of the TUM (2019-2023) Gender equality officer of Department of Mathematics (2019-2022) Professor Sissouno teaches mathematics courses for engineering and computer science students, with a focus on making mathematical concepts accessible and relevant to practical applications. She has been involved in teacher training and the evidence-based development of teaching methodologies, demonstrating her commitment to both research excellence and educational innovation.

Hans-Peter SeidelView profile

Professor

• Computer Graphics
• Neural Rendering
• High Dynamic Range Imaging
• +7 more

Hans-Peter Seidel is a leading researcher in computer graphics at the Max Planck Institute for Informatics, part of the Max Planck Society. His work focuses on advancing the frontiers of image synthesis, neural rendering, and computational photography, with a strong emphasis on high dynamic range imaging, inverse rendering, and perception-aware graphics techniques. His research interests span a broad spectrum of computer graphics and vision, including neural radiance fields, Monte Carlo denoising, image deblurring, and visual perception modeling. He has made significant contributions to real-time rendering, HDR image generation, and uncertainty-aware AI for scientific applications. His lab collaborates closely with experts in rendering, perception, and machine learning, pushing the boundaries of what is possible in digital image creation and manipulation. The most recent publications reveal a strong trend toward integrating deep learning with traditional graphics pipelines, particularly through differentiable rendering, neural fields, and adversarial training. His work frequently appears in top venues such as SIGGRAPH, ACM Transactions on Graphics, and Computer Graphics Forum, reflecting sustained impact and innovation in the field. Hans-Peter Seidel has not been publicly associated with any formal scientific awards in the provided text. However, his extensive publication record and leadership at a premier research institute underscore his influential role in the academic community. While there is no explicit mention of student advising or grant funding in the provided material, his collaborative publications with junior researchers suggest active mentorship. His work is likely supported by institutional funding from the Max Planck Society, enabling long-term, high-risk research in computer graphics and AI. He is part of a vibrant research group at the Max Planck Institute for Informatics, specializing in computer graphics. The team works on cutting-edge problems in rendering, perception, and machine learning, often bridging the gap between theoretical innovation and practical applications in virtual reality, computational photography, and scientific visualization.

• Calculus of Variations
• Multiscale Methods
• Atomistic Models
• +4 more

Dr. Leonard Kreutz is a Researcher at the Department of Mathematics , Technical University of Munich (TUM), leading an Emmy Noether Junior Research Group since 2023. He has held postdoctoral positions at Carnegie Mellon University, WWU Münster, and Universität Wien, and was an acting professor at TUM in 2019. Education: PhD (2018) from Gran Sasso Science Institute, Honors Master (2014) and Bachelor (2013) in Mathematics at TUM. Research Interests: His work focuses on the Calculus of Variations , Multiscale Methods , and Discrete-to-Continuum Limits , particularly in modeling crystallization, elastic materials with voids, and topological singularities in spin systems. He explores free-discontinuity problems and geometric rigidity in variable domains. Publications span 2023–2017, emphasizing atomistic models , nonlinear elasticity , and homogenization across mathematics, materials science, and physics. Collaborative projects with leading experts like M. Cicalese and A. Braides dominate his output. Scientific Award: Emmy Noether Junior Research Group Grant (2023–present). Collaborations include institutions such as Carnegie Mellon University, WWU Münster, and the University of Vienna. His research intersects with groups focused on Mathematical Finance , Numerical Analysis , and Quantum Information Theory at TUM.

• Nonlinear analysis
• Indefinite elliptic problems
• Sobolev and Caffarelli-Kohn-Nirenberg inequalities
• +3 more

Matthias Schneider is a Lecturer in the Institute of Mathematics at Johannes Gutenberg University Mainz , specializing in Analysis . He teaches courses such as Differential Geometry and Manifolds , Mathematics for Physicists , and advanced seminars in geometric analysis. Education: Dissertation in Nonlinear Analysis (2001, Johannes Gutenberg University Mainz) Habilitation in Geometric Analysis (2007, Ruprecht Karls-Universität Heidelberg) Research interests include nonlinear partial differential equations, geometric analysis, indefinite elliptic problems, Sobolev and Caffarelli-Kohn-Nirenberg inequalities, prescribed scalar curvature, and magnetic geodesics. His work bridges differential geometry with PDE existence-uniqueness theory and variational methods. Publication trends show a focus on elliptic equations with critical growth, geometric PDEs on manifolds, and magnetic geodesic theory, particularly for spheres and hyperbolic surfaces. Collaborative papers with V. Felli and others emphasize weighted inequalities and degenerate equations. Contact: Room 04-515, Staudingerweg 9, 55128 Mainz Tel: +49 6131-39-22515 | Fax: +49 6131-39-20658 Office hours: Wednesday 11 a.m.–12 p.m. (additional appointments via email)

Bastian GoldlückeView profile

Associate Professor

• Computer Vision
• Variational Methods
• Light Field Analysis
• +3 more

Bastian Goldlücke serves as an Associate Professor in the Department of Computer Science at the University of Konstanz since 2014. His academic journey includes postdoctoral positions at the University of Heidelberg (2011), TU Munich (2010), and the University of Bonn (2009), following a Ph.D. from the Max Planck Institute for Computer Science in Saarbrücken (2006). His research centers on variational methods and their applications in computer vision, with specialized focus on light field analysis and inverse problems . Key contributions include novel frameworks for light field decomposition, real-time 3D reconstruction, and attention-based neural representations. His work bridges mathematical optimization with practical computer vision challenges in autonomous systems and 3D imaging. Notable scientific recognition includes: ERC Starting Grant 'Light Field Imaging and Analysis' (2013) Funding through SFB Transregio 'Quantitative Methods for Visual Computing' Prof. Goldlücke actively contributes to the academic community as a reviewer for major conferences and journals, co-organizer of the 'Light Fields for Computer Vision' workshops at ECCV 2014 and CVPR 2017, and area chair for ACCV 2014 and 3DV 2016. His current research is supported by significant European and German research grants focusing on computational imaging and visual analysis.

Marius MüllerView profile

Research Fellow

• Free Boundary Problems
• Gradient Flows
• Geometric Evolution Equations
• +2 more

Dr. Marius Müller is a Research Fellow at Ulm University specializing in geometric analysis and calculus of variations, with research addressing free boundary problems, geometric evolution equations, and elastic curve dynamics. Education: PhD in Mathematics, Universität Ulm (advisor: Prof. Anna Dall'Acqua) His research focuses on higher-order free boundary problems (Obstacle-type and Alt-Caffarelli-type), gradient flows with obstacle constraints, geometric evolution equations for Elastic/Willmore energy, elastic curves in space forms, and anisotropic curvature flows. Müller employs advanced analytical techniques to investigate existence, regularity, and asymptotic behavior of solutions in these domains. Recent publications (2019-2020) demonstrate concentrated work on Willmore flow of tori, biharmonic Alt-Caffarelli problems, and elastic curve evolution in hyperbolic geometry, bridging theoretical analysis with geometric applications through rigorous PDE methods. Academic engagement includes presentations at Ulm University's Winter School 'Gradient Flows and Variational Methods in PDEs' (2019), KIT Karlsruhe's TULKKA-Treffen (2019), and RWTH Aachen's EDDY Research Training Group seminars (2018), reflecting active collaboration within Germany's geometric analysis community.

Ulrike BückingView profile

Senior Lecturer

• Discrete Differential Geometry
• Conformal Geometry
• Discrete Surfaces
• +3 more

Ulrike Bücking serves as a Senior Lecturer in the Department of Mathematics and Computer Science at Free University of Berlin, where she is Deputy Head of the Primary School Mathematics Group within the Discrete Methods in Algebraic Geometry & Mathematics for Teacher Training working group. Her academic responsibilities include teaching mathematical professional knowledge courses for primary school teacher candidates since 2019, with recent expansion to advanced specialized instruction for mathematics-focused teacher trainees. Her research spans two interconnected domains: theoretical discrete differential geometry focusing on convergence of discrete conformal mappings, rigidity of planar patterns, and discrete minimal surfaces; and mathematics education specifically tailored for primary school teacher preparation. This dual expertise manifests in publications ranging from pure mathematical investigations of circle patterns and discrete Riemann surfaces to innovative pedagogical frameworks for mathematics teacher education. Analysis of her 15 most recent publications reveals a consistent trajectory in discrete complex analysis with increasing integration of mathematics education research since 2020. Her geometric work demonstrates methodological evolution from foundational circle pattern theory toward sophisticated discrete surface constructions, while her educational publications address practical curriculum development for teacher training programs. The 2023 MatheProfIL paper exemplifies her applied approach to bridging theoretical mathematics with classroom pedagogy. Dr. Bücking maintained continuous research activity through her decade-long participation (2012-2024) in the Collaborative Research Center/Transregio 'Discretization in Geometry and Dynamics' (Project A01: Discrete Riemann Surfaces). Her teaching portfolio shows significant evolution from advanced mathematics courses for physicists at TU Berlin (2002-2018) to specialized mathematics education for primary teachers at Free University of Berlin. She actively contributes to the Primary School Mathematics Group and collaborates within the Discrete Methods in Algebraic Geometry & Mathematics for Teacher Training working group, maintaining an office at Arnimallee 3 in Berlin's mathematics institute where she supervises course development and coordinates teacher education initiatives.

Walter GublerView profile

Professor

• Arithmetic Algebraic Geometry
• Tropical Geometry
• Arakelov Theory
• +2 more

Walter Gubler is Professor at the Faculty of Mathematics, University of Regensburg. His research specializes in arithmetic algebraic geometry, with focus areas including Arakelov theory, tropical geometry, and non-archimedean analysis. Key investigations address the Bogomolov conjecture, Monge-Ampère equations in non-archimedean contexts, and Diophantine geometry problems. He leads projects on p-adic Arakelov geometry and supervises doctoral candidates in algebraic number theory. Teaching includes graduate courses on Diophantine Geometry, Algebraic Geometry, and Tropical Geometry, with seminar offerings on current research topics.

Giuseppe SavaréView profile

Professor

• Mathematical Analysis
• Optimal Transport
• Gradient Flows
• +4 more

Giuseppe Savaré is a Full Professor of Mathematical Analysis at the Department of Mathematics, University of Pavia, and a Hans Fischer Senior Fellow at the Technical University of Munich's Institute for Advanced Study (TUM-IAS) since 2019. His research focuses on variational methods for evolution problems, including gradient flows, rate-independent models, nonlinear PDEs, and optimal transport theory in metric spaces. Education: PhD in Mathematics (1988) from University of Pavia. His work bridges optimal transport, metric measure spaces, and analysis in non-Euclidean geometries, with applications to PDEs, curvature bounds, and generalized gradient flows. Key contributions include foundational studies on Wasserstein gradient flows, entropy-transport problems, and abstract action spaces in dynamical systems. Scientific awards include the prestigious Ennio De Giorgi Prize (2011) and the Gioachino Japichino Prize (1994), alongside an invitation as a speaker at the 7th European Congress of Mathematics (2016). Collaborations with researchers like Massimo Fornasier and Alexander Mielke have advanced consensus-based optimization, multi-agent control, and quantum drift-diffusion models.

Christian SeisView profile

Professor

• Applied analysis
• Partial Differential Equations (PDEs)
• Mathematical fluid dynamics
• +5 more

Prof. Dr. Christian Seis is a Professor of Applied Mathematics at the University of Münster, affiliated with the Institute of Analysis and Numerics. He is an Investigator in Mathematics Münster and specializes in applied analysis, partial differential equations (PDEs), and mathematical fluid dynamics. His research focuses on fluid dynamics phenomena, including vortex dynamics, mixing processes, and free boundary problems, with applications to convection and nonlinear diffusions. Education & Career: PhD from University of Leipzig (2011) Postdoctoral Fellow at University of Toronto (2011–2014) Lecturer (Akademischer Rat) at University of Bonn (2014–2017) Current position since 2017 at University of Münster Research Interests: Nonlinear PDEs, particularly fluid dynamics and transport equations Vortex dynamics, mixing in fluids, and boundary layer analysis Asymptotic behavior of solutions to Navier-Stokes and Euler equations Nonlinear diffusions, including thin film and porous medium equations Stability estimates and numerical schemes for advection-diffusion equations Recent Projects: Mathematical analysis of bubble rings in ideal fluids Optimal stability estimates for advection-diffusion equations Crossover of coarsening rates in demixing viscous liquids Analysis of the vanishing viscosity limit in 2D flows Grants & Collaborations: DFG Cluster of Excellence 'Mathematics Münster' (EXC 2044) Individual DFG grants for projects on transport equations and invariant manifolds Co-organizer of workshops on fluid dynamics and geometric PDEs Labs/Teams: Leads the research group on applied analysis and PDEs at the University of Münster, focusing on rigorous mathematical analysis of fluid dynamics and diffusion processes.

• Applied Mathematics
• Calculus of Variations
• Partial Differential Equations (PDEs)
• +3 more

Simon Gabriel is a researcher affiliated with the Institute for Analysis and Numerical Analysis at the University of Münster. His work focuses on applied mathematics, calculus of variations, and partial differential equations with applications in material science and micromagnetism. He investigates phenomena such as magnetic skyrmions, phase transformations in shape memory alloys, and energy minimization problems in thin films. His research combines rigorous mathematical analysis with interdisciplinary applications in physics and engineering. He collaborates with institutions like the Applied Analysis group and contributes to projects exploring rigidity phenomena and microstructure formation. His teaching includes advanced seminars on geometric measure theory and calculus of variations. Affiliations : Institute for Analysis and Numerical Analysis, Faculty of Mathematics and Computer Science Research Interests : Micromagnetism, nonlocal isoperimetric problems, mean curvature flow, and variational methods in material science Key contributions include studies on magnetic skyrmions under confinement, rigidity in phase transformations, and convergence analysis of phase field models. His work bridges mathematical theory with practical applications in understanding material behavior at micro and nano scales.