جستجوی استاد راهنمای دانشگاهی

• Machine Learning
• Dynamical Systems
• Optimization
• +۳ مورد دیگر

Michael Muehlebach leads the independent Learning and Dynamical Systems research group at the Max Planck Institute for Intelligent Systems in Tuebingen, Germany. His interdisciplinary work bridges machine learning, dynamical systems theory, and control engineering to develop algorithms for cyber-physical systems with theoretical guarantees and practical implementations. Dr. Muehlebach received his B.Sc. and M.Sc. in Mechanical Engineering from ETH Zurich in 2010 and 2013, specializing in robotics and control systems. He completed his Ph.D. at ETH's Institute for Dynamic Systems and Control under Prof. R. D'Andrea in 2018, followed by postdoctoral research with Prof. Michael I. Jordan at UC Berkeley. His research focuses on constrained optimization, reinforcement learning, and control theory with applications in robotics. He pioneered approaches that express constraints in terms of velocities rather than positions, enabling more efficient optimization algorithms. His work spans theoretical foundations to physical implementations, including the One-Wheel Cubli balancing robot and electromagnetic navigation systems. Recent publications reveal a strong trend toward physics-informed machine learning, particularly for robotics applications requiring real-time performance and safety guarantees. Dr. Muehlebach has received numerous prestigious awards: Outstanding D-MAVT Bachelor Award Willi-Studer prize for best Master's degree ETH Medal and HILTI prize for doctoral thesis Branco Weiss Fellowship (2018) Emmy Noether Fellowship (2020) Amazon Fellowship (2024) He actively mentors doctoral researchers including Hao Ma, Melis Ilayda Bal, and Onno Eberhard, with research supported by multiple grants. His group maintains strong collaborations with Bernhard Schölkopf's Empirical Inference group at the Max Planck Institute. The Learning and Dynamical Systems group develops innovative hardware and software platforms, including Floaty (a wind-harnessing flying robot), advanced electromagnetic navigation systems, and data-efficient learning methods for robotic table tennis. Their approach combines rigorous theoretical analysis with practical validation on physical systems, emphasizing the integration of known physical structure into machine learning algorithms to improve sample efficiency and ensure generalization.

Kai Cieliebakمشاهده پروفایل

استاد

• Symplectic geometry
• Contact geometry
• Hamiltonian dynamics
• +۵ مورد دیگر

Prof. Dr. Kai Cieliebak is a Professor of Mathematics at the University of Augsburg, where he holds the Chair of Analysis and Geometry within the Institute of Mathematics under the Faculty of Mathematics, Natural Sciences, and Materials Engineering. He has been at Augsburg University since 2012, following a professorship at Ludwig-Maximilians-Universität München from 2001-2012. His research group includes several researchers and postdocs working on symplectic geometry and related fields. Dr. Cieliebak earned his Diplom in mathematics summa cum laude from Ruhruniversität Bochum in 1992, with thesis on "Pseudo-holomorphe Kurven und periodische Orbits auf Cotangential Bündeln" under advisor H. Hofer. He completed his PhD in mathematics at ETH Zürich in 1996, with thesis "Symplectic boundaries: closed characteristics and action spectra," also advised by H. Hofer. His academic journey included positions at Harvard University, Stanford University, and research at IBM Zürich before his professorships in Munich and Augsburg. Prof. Cieliebak's research focuses on symplectic and contact geometry , with significant contributions to understanding symplectic manifolds, Lagrangian and Legendrian knots, Stein manifolds, and string topology. His work in Hamiltonian dynamics explores variational methods, periodic orbits, and celestial mechanics problems, particularly the restricted three-body problem. In global analysis , he investigates solution spaces of elliptic PDEs and symplectic field theory. His approach often bridges differential geometry, topology, and dynamical systems, with applications to mathematical physics. Over the past decade, Prof. Cieliebak's publications reveal a consistent focus on symplectic homology, Floer theory, and their applications to geometric problems. His work shows increasing integration of algebraic structures with geometric methods, particularly in cyclic homology and string topology. Recent research demonstrates strong collaboration with Urs Frauenfelder on celestial mechanics problems, applying symplectic techniques to the restricted three-body problem and related orbital dynamics. Prof. Cieliebak has secured significant research funding throughout his career, including multiple DFG grants under project codes CI 45/1 through CI 45/12, NSF grants, and participation in European Science Foundation networking programs. His most notable grants include "Foundations of Symplectic Field Theory" (2009-2015) and the current "Rabinowitz Floer Homology" project (since 2023), both in collaboration with U. Frauenfelder. He has mentored numerous researchers and maintains an active research group at Augsburg University, including postdocs and collaborators working on symplectic geometry problems. His team includes researchers such as Dr. Filip Broćić, Zhen Gao, Dr. Hanna Häußler, Emilia Konrad, Shuaipeng Liu, Dominik Meidert, Dr. Airi Takeuchi, Dr. Evgeny Volkov, Milan Zerbin, and PD Dr. Lei Zhao. Prof. Cieliebak has also organized numerous workshops on symplectic geometry, including the annual "Symplectic Field Theory" workshop series.

Hans-Bert Rademacherمشاهده پروفایل

استاد

• Differential Geometry
• Pseudo-Riemannian Geometry
• Finsler Geometry
• +۷ مورد دیگر

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.

• Adaptive nonparametric statistics
• High-dimensional data analysis
• Financial time series modeling
• +۵ مورد دیگر

Prof. Vladimir Spokoiny is a leading figure in stochastic algorithms and nonparametric statistics at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) and Humboldt University of Berlin . His work bridges mathematical statistics with practical applications in finance, medicine, and machine learning. Born in 1959 in Moscow, USSR PhD from Lomonosov Moscow State University (1988) Habilitation from Humboldt University (1996) Head of WIAS research group since 2000 Professor at Humboldt University since 2002 Spokoiny's research focuses on adaptive nonparametric methods, high-dimensional data analysis, and statistical finance. His innovations in local homogeneity testing and propagation-separation methods have advanced volatility modeling, image analysis, and manifold learning. He employs Bayesian optimization frameworks and stochastic control techniques for financial instrument pricing. Recent scientific contributions include generalized bootstrap procedures for Bures-Wasserstein barycenters (2024), dimension-free Laplace approximation bounds (2023), and structure-adaptive manifold estimation (2022). His 19+ PhD students and editorial roles in top journals like The Annals of Statistics demonstrate sustained academic impact. International Statistical Institute member American Statistical Association fellow Institute of Mathematical Statistics member Bernoulli Society member

• Geometric Analysis
• Differential Geometry
• Mathematical Relativity
• +۳ مورد دیگر

Prof. Dr. Gerhard Huisken is a Professor at Eberhard Karls University of Tübingen and Director of the Mathematical Research Institute Oberwolfach. His research focuses on geometric analysis, differential geometry, and mathematical relativity, with significant contributions to mean curvature flow, Ricci flow, and geometric evolution equations. He has authored numerous influential papers on topics such as curvature flows, singularity analysis, and applications to general relativity. Key positions include leadership at Oberwolfach and teaching roles in advanced courses like 'Mathematical Relativity' and 'Introduction to Ricci Flow'. His work bridges geometric analysis with physics, contributing to the Poincaré conjecture through Ricci flow studies. Collaborations include projects with S. Brendle and C. Sinestrari on convex solutions and flow surgeries. Research highlights include the Riemannian Penrose inequality, inverse mean curvature flow, and long-term behavior of geometric flows. His academic contributions are documented in top journals like Inventiones mathematicae and Journal of Differential Geometry .

Caterina Ida Zeppieriمشاهده پروفایل

استاد

• Calculus of Variations
• Elliptic PDEs
• Gamma-convergence
• +۵ مورد دیگر

Professor Caterina Ida Zeppieri is a distinguished mathematician at the Westfälische Wilhelms-University Münster (University of Münster) in Germany, where she leads the Research Group 'Analysis and Modelling' within the Institute for Analysis and Numerics. She has maintained a continuous academic presence since at least the Winter semester 2012/13 through to upcoming semesters in 2025/26, consistently teaching advanced mathematics courses and supervising research activities. Her research focuses on fundamental aspects of mathematical analysis with significant applications to materials science. She specializes in Calculus of Variations, Elliptic PDEs, Gamma-convergence, Homogenization theory, Free-discontinuity problems, Nonlinear elasticity, and Plasticity. Her work bridges theoretical mathematics with practical applications in understanding material behavior, particularly fracture mechanics and composite materials. Professor Zeppieri's publication record demonstrates a consistent and impactful research trajectory from 2007 through forthcoming publications in 2025. Her recent work shows a strong emphasis on stochastic homogenization techniques applied to free-discontinuity problems and singularly-perturbed functionals, revealing sophisticated mathematical approaches to modeling complex material behaviors across multiple scales. She regularly collaborates with leading researchers including Filippo Cagnetti, Gianni Dal Maso, and Lucia Scardia, contributing to significant advances in the mathematical understanding of material science phenomena. Her research has been published in top-tier mathematics journals including Calculus of Variations and Partial Differential Equations, Archive for Rational Mechanics and Analysis, and SIAM Journal on Mathematical Analysis. Within the department, Professor Zeppieri plays an active role in teaching advanced courses such as Partial Differential Equations, Calculus of Variations, and Advanced Topics in the Calculus of Variation, while participating in the department's Advanced Seminar in Applied Mathematics and Colloquium on Applied Mathematics.

• Inverse Problems
• Material Science
• Partial Differential Equations
• +۳ مورد دیگر

Angkana Rüland is a Professor at the University of Bonn's Mathematical Institute and holder of the Hausdorff Chair at the Hausdorff Center for Mathematics (HCM), a Cluster of Excellence. She is a member of the Transdisciplinary Research Area ‘Modelling’ and a recipient of the prestigious Leibniz Prize (2025). Her research focuses on inverse problems, fractional PDEs, and phase transformations in materials science, with contributions to the Calderón problem and microstructure analysis. She has held positions at Oxford, the Max Planck Institute in Leipzig, and Heidelberg University before returning to Bonn in 2023. Education: She completed her Abitur, bachelor's/masters, and PhD (2014, Hausdorff Memorial Prize) at the University of Bonn, where she also co-founded the Bonn Math Club. Her academic journey includes postdoctoral research at Oxford and leadership roles in Leipzig and Heidelberg. Research interests span inverse problems (e.g., fractional Calderón problem), material microstructures (shape-memory alloys), and mathematical physics. Her work bridges pure and applied mathematics, addressing questions in elasticity, nonlocal operators, and energy scaling laws. Scientific awards include the Leibniz Prize (2025) for her groundbreaking research and the Hausdorff Memorial Prize for her doctoral thesis. She aims to use Leibniz Prize funds to strengthen her research group at HCM, furthering interdisciplinary collaborations. Her contributions have positioned Bonn as a global leader in mathematical research, with 20 Leibniz laureates since 1986.

Caterina Zeppieriمشاهده پروفایل

استاد

• Calculus of Variations
• Homogenization Theory
• Stochastic Analysis
• +۵ مورد دیگر

Professor Caterina Zeppieri is a faculty member at the Institute for Analysis and Numerics within the Faculty of Mathematics and Computer Science at the University of Münster, Germany. She serves as an investigator in Mathematics Münster and specializes in optimization and calculus of variations. Her research spans multiple collaborative projects within the Excellence Cluster EXC 2044. Her primary research interests focus on Calculus of Variations , Homogenization Theory , and Free-Discontinuity Problems , with significant contributions to the mathematical understanding of material science phenomena. Her work bridges theoretical mathematics with practical applications in material modeling, fracture mechanics, and multi-scale analysis. She has developed sophisticated mathematical frameworks for understanding stochastic homogenization, phase-field approximations, and gradient damage models in heterogeneous materials. Analysis of her recent publications reveals a consistent trajectory toward increasingly complex multi-scale problems involving randomness and discontinuities. Her work demonstrates deep connections between Γ-convergence theory, stochastic processes, and applications to material science, particularly in modeling fracture phenomena and composite materials. A notable trend is her development of global methods that unify deterministic and stochastic approaches to homogenization problems. Zeppieri actively contributes to teaching at the University of Münster, regularly offering courses on Partial Differential Equations, Calculus of Variations, and Advanced Topics in Mathematical Modeling. Her teaching spans both undergraduate and graduate levels, including specialized seminars on cutting-edge research topics in her field. She is deeply involved in the EXC 2044 collaborative research center, particularly in project units C1 (Evolution and asymptotics), C2 (Multi-scale phenomena and macroscopic structures), and C3 (Interacting particle systems and phase transitions), where she contributes her expertise in variational methods and homogenization to multi-disciplinary research efforts.

• Applied Geometry
• Discrete Differential Geometry
• Numerical Analysis
• +۳ مورد دیگر

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.

Rupert Frankمشاهده پروفایل

استاد

• Analysis
• Mathematical Physics
• Spectral Theory
• +۸ مورد دیگر

Rupert Frank is a Professor of Mathematics at the University of Munich (LMU Munich) . He has held academic positions at Caltech (2013–2021) and Princeton University (2009–2013). His research spans Mathematical Physics , Spectral Theory , and Functional Inequalities , with a focus on quantum many-body systems, stability of matter, and nonlocal operators. Research Themes : Analysis of eigenvalues for Schrödinger and Pauli operators with complex potentials Semi-classical spectral asymptotics and effective theories for quantum systems Matrix inequalities and quantum information theory Calculus of variations in models like the liquid drop problem Geometric inequalities and their applications to quantum mechanics Magnetic field effects on spectral properties Recent Publications : 2025: Sharp stability for Sobolev/log-Sobolev inequalities with dimensional dependence 2025: Endpoint Schatten class properties of commutators 2024: Degenerate stability of Caffarelli-Kohn-Nirenberg inequality 2024: Hardy inequalities for large fermionic systems 2023: Review on Scott conjecture for Coulomb systems Scientific Awards : Young Scientist Prize in Mathematical Physics (2009) Grants and Collaborations : Principal Investigator in CRC TRR 352 (2023–) PI in Munich Center for Quantum Science and Technology (2019–) Multiple NSF grants (2009–2020) DFG and DAAD grants Editorial and Conference Leadership : Editorial boards: Communications in Mathematical Physics , Journal in Mathematical Physics , Journal of Spectral Theory , SIAM Journal on Mathematical Analysis , Springer Lecture Notes Organized conferences/workshops on quantum many-body systems, spectral methods, and functional inequalities (2018–2025)

• Geometric Analysis
• Partial Differential Equations
• Differential Geometry
• +۱ مورد دیگر

Prof. Dr. Andreas Gastel is a Professor in the Faculty of Mathematics at the University of Duisburg-Essen. His research specializes in geometric analysis, partial differential equations, and differential geometry. He leads a research group working on mathematical modeling and optimization problems, particularly in gas network applications. His recent publications focus on nonlinear material models, conservation laws in polyharmonic systems, and gauge theory applications. He maintains active collaborations with researchers across mathematical physics and applied mathematics disciplines.

• Calculus of Variations
• Continuum Mechanics
• Nonlinear Elasticity
• +۵ مورد دیگر

Prof. Dr. Marco Cicalese is a Professor of Mathematical Continuum Mechanics at the Technical University of Munich (TUM), holding a position in the Department of Mathematics within the TUM School of Computation, Information and Technology. He has been at TUM since 2012, following roles as an Assistant Professor at the University of Naples (2005–2012) and a researcher at SISSA (2004–2005). His research focuses on variational analysis of atomistic and continuous systems, multiscale problems, and geometric inequalities. Education: PhD in Applied Mathematics from the University of Naples (2004), MSc in Physics (details not specified). His editorial roles include Associate Editorships at Acta Applicandae Mathematicae and Mathematics in Engineering . Research interests encompass calculus of variations, nonlinear elasticity, and phase transitions, with contributions to discrete-to-continuum limits and stability of geometric inequalities. Teaching includes courses on partial differential equations, calculus of variations, and mathematical modeling. His work often bridges discrete and continuous models, with applications to materials science and continuum mechanics. Recent publications explore topics like Wulff crystal emergence, fractional vortices, and surfactant effects in phase transitions.

• Mathematical Analysis
• Partial Differential Equations
• Stochastic Homogenization
• +۴ مورد دیگر

Felix Otto is a Director at the Max Planck Institute for Mathematics in the Sciences and an Honorary Professor for Analysis and Mathematical Modeling at the University of Leipzig. His research focuses on pattern formation, energy landscapes, and scaling laws, with contributions to stochastic homogenization, PDEs, and optimal transport. He has held academic positions at the University of California and the Hausdorff Center for Mathematics. Notable grants include projects on microstructure formation in thin coatings and stochastic homogenization. He has organized conferences such as the ICM satellite conference on Probability and Mathematical Physics. His work bridges pure and applied mathematics, with implications for materials science and fluid dynamics. Education: Diplom (1990), PhD (1993) from Bonn University. Postdoctoral roles at Bonn, Courant Institute, and CMU. Tenured faculty roles at UCSB (1998–2010) and Bonn (1999–2010). Research interests span stochastic PDEs, calculus of variations, and the mathematical theory of materials. Grants include BMBF and DFG projects on microstructure modeling and homogenization.

• Differential Geometry
• Geometric Analysis
• Riemannian Geometry
• +۳ مورد دیگر

Bianca Santoro is an Investigator in Mathematics Münster and a member of the Collaborative Research Center (CRC) 1442 'Geometry: Deformations and Rigidity' at the University of Münster. She is affiliated with the Mathematisches Institut within the Faculty of Mathematics and Computer Science. Her research focuses on differential geometry, geometric analysis, and related areas such as Riemannian geometry and partial differential equations. She has contributed to topics including Ricci-flat metrics, Hamiltonian stationary Lagrangian submanifolds, and singularities in geometric problems. Education and career highlights include her work at the Instituto Nacional de Matemática Pura e Aplicada (IMPA), where she authored foundational texts like Introduction to evolution equations in geometry (2009) and Holonomy Groups in Riemannian Geometry (2012). Her research spans projects such as 'Curvature, shape, and global analysis' (T5) and 'Singularities and PDEs' (T6) under Mathematics Münster’s framework. Her publications reflect expertise in geometric PDEs, bifurcation theory, and complex geometry, with contributions to both theoretical developments and applied methodologies. Santoro’s work is supported through collaborative initiatives like the CRC 1442, emphasizing interdisciplinary approaches to geometric deformations and rigidity phenomena.

Bernd Sturmfelsمشاهده پروفایل

استاد

• Algebraic Geometry
• Combinatorics
• Commutative Algebra
• +۴ مورد دیگر

Bernd Sturmfels is a leading mathematician serving as Director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 2017. He is also Professor Emeritus of Mathematics, Statistics, and Computer Science at the University of California, Berkeley, and holds honorary professorships at the Technical University of Berlin and the University of Leipzig. His research bridges pure and applied mathematics, with foundational contributions to algebraic geometry, combinatorics, and computational biology. Education: Sturmfels earned dual Ph.D. degrees in 1987 from the University of Washington and Technische Universität Darmstadt, followed by an honorary doctorate from Goethe University Frankfurt in 2015 and additional honorary doctorates from the University of Bern (2023) and the University of Chicago (2024). Research Interests: His work spans algebraic geometry , combinatorics , commutative algebra , algebraic statistics , convex optimization , and computational biology . He explores deep connections between abstract algebraic structures and practical applications in statistics, optimization, and the life sciences. Publications and Trends: With over 300 research articles and 11 books, his recent work (2022–2025) focuses on advanced topics like Grassmannian geometry, tropical implicitization, quantum chemistry applications, and algebraic statistics. His research increasingly integrates computational methods with theoretical insights, addressing problems in machine learning, phylogenetics, and optimization. Awards and Honors: Sturmfels has received numerous prestigious awards, including: George David Birkhoff Prize in Applied Mathematics (2018) SIAM von Neumann Lecturership (2010) Humboldt Senior Research Prize (2007–2008) David and Lucile Packard Fellowship (1992–1997) Fellowships of the AMS and SIAM Membership in the Berlin-Brandenburg Academy of Sciences and Humanities Mentoring and Grants: He has supervised 60 doctoral students and numerous postdocs, with many securing positions at leading institutions. His mentoring philosophy emphasizes diversity and excellence, as highlighted in his Notices of the AMS article. Funding sources include the NSF, DARPA, and the German National Science Foundation (DFG). Labs and Teams: At the Max Planck Institute, he leads the Nonlinear Algebra group, fostering interdisciplinary collaboration between mathematics and the sciences. His team focuses on developing algebraic methods for data analysis, optimization, and theoretical physics.