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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.

• Partial Differential Equations
• Interface Evolution Problems
• Fluid Mechanics
• +2 more

Sebastian Hensel is a Researcher at the Hausdorff Center for Mathematics (HCM) at the University of Bonn since September 2021, under the mentorship of Prof. Tim Laux. He holds a PhD in Mathematics from the Institute of Science and Technology Austria (IST Austria), where he studied under Prof. Julian Fischer. His research focuses on partial differential equations, particularly interface evolution problems, fluid mechanics, stochastic homogenization, and stochastic PDEs. He has contributed to topics like mean curvature flow, free boundary problems, and weak-strong uniqueness principles. Education includes a PhD (2021, IST Austria), Master of Science in Mathematics (2017, Humboldt-Universität zu Berlin), and Bachelor degrees in Mathematics (2015, Freie Universität Berlin) and Business Administration (2013, Freie Universität Berlin). His work explores geometric PDEs, including multiphase systems, contact angle dynamics, and stochastic influences. Key contributions include stability analyses of evolving interfaces and convergence studies of phase-field models. His articles often bridge analytical rigor and applied mathematics, addressing challenges in nonlinear dynamics and calculus of variations. He has presented research at international conferences such as FBP 2020, SIAM MS20, and Equadiff 2019. His academic activities include seminars at institutions like TU Chemnitz, University of Regensburg, and Max-Planck Institute for Mathematics in the Sciences, Leipzig.

• Partial Differential Equations
• Calculus of Variations
• Geometric Analysis
• +3 more

László Székelyhidi is a Full Professor in the Faculty of Mathematics and Computer Science at Leipzig University, where he has been a central figure since October 2011. He is also recognized as an Honorary Professor and serves as an External Scientific Member at the Max Planck Institute for Mathematics in the Sciences (MPI Leipzig), highlighting his continued influence in mathematical research. His primary research lies at the intersection of geometric analysis and mathematical fluid mechanics. He specializes in partial differential equations, calculus of variations, and nonlinear problems arising in continuum mechanics. His work often bridges deep theoretical mathematics with physical applications, particularly in understanding fluid flow and geometric structures. Prof. Székelyhidi holds influential editorial positions across major mathematical journals, including: Editor in Chief, Calculus of Variations and Partial Differential Equations Associate Editor, Archive for Rational Mechanics and Analysis Associate Editor, Journal of Mathematical Fluid Mechanics Associate Editor, Journal of Evolution Equations Associate Editor, Acta Mathematica Hungarica His career includes prestigious appointments such as Bonn Junior Fellow at the University of Bonn (2007–2011) and Heinz Hopf Lecturer at ETH Zürich (2005–2007), establishing him early as a leading figure in mathematical analysis. These roles, combined with his long-standing professorship and MPI affiliation, reflect a sustained and impactful research trajectory. He advises no students listed in the provided data, and there is no mention of specific grants or funded projects. However, his editorial leadership and external membership at MPI Leipzig suggest active participation in the broader mathematical community and likely involvement in collaborative research initiatives.

Stephan MescherView profile

Researcher

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

Heiner GonskaView profile

Professor

• Approximation Theory
• Numerical Analysis
• Spline Functions
• +3 more

Heiner Gonska is a Professor at the University of Duisburg-Essen, specializing in approximation theory and geometric analysis. His work establishes quantitative estimates for linear operators and explores geometric PDEs. Research Focus: Develops refined moduli of smoothness for operator convergence, multivariate Bernstein operators, and applications in CAGD. Collaborates internationally on functional inequalities and geometric variational problems. Awards: Honorary Doctorate from Babeş-Bolyai University (1999) for contributions to approximation theory. Publications: Recent articles revisit fundamental concepts like the coarea formula and symmetric minimal surfaces, while advancing iterative approximation methods in higher dimensions.

• Physical Simulations
• Geometry Processing
• Fluid Dynamics
• +7 more

Dr. Marcel Padilla is a Postdoctoral Researcher at the Interactive Geometry Lab within the Department of Computer Science at ETH Zürich, supported by the Feodor-Lynen Fellowship from the Alexander von Humboldt Foundation. Previously, he completed his PhD at TU Berlin under Professors Ulrich Pinkall and Peter Schröder, focusing on solar corona modeling and geometry processing. Education: PhD in Computer Science, TU Berlin (2023) MSc in Mathematics, TU Berlin (2018) BSc in Mathematics, TU Berlin (2016) Research Interests: Marcel’s work spans physical simulations, geometry processing, fluid dynamics, and plasma modeling. He explores applications in computer graphics, such as modeling solar corona dynamics and vortex filament behavior. His methods often leverage discrete exterior calculus and variational principles to achieve computational efficiency and accuracy. Key Contributions: Recent work includes Exact 3D Green’s Function Integrations on Triangles (2025), Going with the Flow (2024), and Filament Based Plasma (2022). These studies address challenges in fluid-structure interaction, plasma visualization, and efficient numerical integration. Awards: Feodor-Lynen Fellowship (Alexander von Humboldt Foundation) Teaching & Outreach: Marcel has taught courses on Discrete Differential Geometry at ETH Zürich and Geometry Processing at TU Berlin. He also develops practical resources for Houdini programming and scientific presentation design. Labs & Collaborations: His research is supported by institutions like the DFG Collaborative Research Center TRR 109 and the Einstein Foundation Berlin. He actively contributes to open-source projects, including implementations of his publications on GitHub.

• Numerical Analysis
• Partial Differential Equations
• Fluid Dynamics
• +3 more

Dr. Johannes Storn is affiliated with the Faculty of Mathematics at Universität Bielefeld. His research focuses on numerical analysis, partial differential equations, and stochastic processes, with a particular emphasis on stochastic non-Newtonian fluids and their regularity and numerical solutions. He is involved in the Collaborative Research Center (SFB) 1283 project, specifically the sub-project B7 addressing 'Stochastic Non-Newtonian Fluids: Regularity and Numerics.' His research interests span numerical methods for PDEs, finite element techniques, adaptive mesh refinement, and iterative solvers for nonlinear problems. Recent work includes studies on minimal residual methods, p-Laplacian equations, and interpolation operators in negative Sobolev spaces. Dr. Storn contributes to interdisciplinary projects at the intersection of mathematics and fluid dynamics, leveraging advanced numerical analysis to address complex physical phenomena. Key trends in his publications emphasize robust numerical schemes for challenging PDE systems, including those with large exponents or stochastic elements, and the development of efficient adaptive algorithms. His work often intersects with applied mathematics, targeting real-world applications in engineering and physics.

Axel KrönerView profile

Professor

• Optimal Control
• Optimization with partial differential equations
• Numerical analysis
• +3 more

Prof. Dr. Axel Kröner is a Professor of Optimization at the Institute of Mathematics, Martin-Luther-Universität Halle-Wittenberg, within the Faculty of Natural Sciences II. His research focuses on optimal control and numerical methods for partial differential equations (PDEs), stochastic control, and feedback mechanisms in complex systems. Academic Background: Ph.D. in Mathematics, Technische Universität München (2011) Diploma in Mathematics, Ruprecht-Karls-Universität Heidelberg (2007) Axel Kröner's research spans PDE-constrained optimization, numerical analysis, and control theory. Key areas include feedback control for hyperbolic and parabolic equations, stochastic optimal control for infinite horizon problems, and adaptive finite element methods for PDE discretization. His work bridges theoretical and computational aspects, with applications in elasticity, fluid dynamics, and quantum mechanics. Recent publications highlight advancements in Hamilton-Jacobi-Bellman equations for feedback control, bilevel optimization for parameter learning, and Runge-Kutta-based neural networks . Methodologies often integrate dynamic programming , Galerkin approximations , and error estimation for efficient solutions. Advising and Projects: He has supervised numerous Master's and Bachelor's theses on topics like wave equation control, inverse problems, and neural network optimization. Funding includes support from the German Academic Exchange Service (DAAD) and the Gaspard Monge Program for Optimization and Operations Research (2015-2018). Professional Activities: Kröner has organized major conferences such as the International Workshop on PDE Constrained Optimization and contributed to teaching at institutions including Humboldt-Universität zu Berlin and University Paris-Saclay.

Henrik SchumacherView profile

Researcher

• Geometric Analysis
• Numerical Optimization
• Differential Geometry
• +3 more

Dr. Henrik Schumacher is a researcher in the work group on Harmonic Analysis led by Prof. Dr. Philipp Reiter at TU Chemnitz. His research focuses on geometric variational problems, numerical optimization, and differential geometry, with applications in computer graphics and computational mathematics. He holds a PhD in Mathematics from TU Chemnitz (2015) and a Master's in Mathematics from the same institution (2010), where his thesis explored generalized Seiberg-Witten equations. His work bridges pure and applied mathematics, including contributions to self-avoiding energies, fractional Sobolev spaces, and algorithmic optimization for geometric problems. Notably, he co-developed the Repulsive Curves and Surfaces frameworks for collision-aware modeling, recognized by the SIGGRAPH 2024 Best Technical Paper Award . He also contributes to software tools like CoBarS and Repulsor for polygon sampling and energy optimization. Active in academic outreach, Schumacher supervises student computer tutorials on topics such as Euler elastica, finite element analysis, and geometric evolution equations. His teaching emphasizes computational methods and interdisciplinary applications, including contributions to TU Chemnitz's new Data Science programs. Awards: SIGGRAPH 2024 Best Technical Paper Award Software: CoBarS, Repulsor, ConformalBarycenter, PardisoLink Grants/Projects: Collaborations on applied analysis, geometric optimization, and inverse problems Lab/Team Affiliation: Harmonic Analysis Group at TU Chemnitz Faculty of Mathematics.

• Waves
• Nonlinear Partial Differential Equations
• Dispersive Partial Differential Equations
• +5 more

Tomáš Dohnal is a Professor at the Institute of Mathematics , Martin Luther University Halle-Wittenberg, Germany. His research lies at the intersection of partial differential equations, wave dynamics, and mathematical physics, with a focus on dispersive and nonlinear PDEs, bifurcation theory, and spectral analysis. Education : PhD in Mathematics (University of New Mexico, 2005), Habilitation at Karlsruhe Institute of Technology (2012). Current Research : Waves in periodic media, surface plasmon polaritons, amplitude equations, numerical methods for nonlinear waves, and spectral problems. Recent Articles : 15 most recent works span nonlinear Schrödinger-Poisson systems, Choquard equations, quasilinear Maxwell transmission problems, bifurcation in PT-symmetric systems, and asymptotic methods in wave propagation. Grants : DFG projects on surface plasmon polaritons (2019-2022) and gap solitons in periodic structures (2014-2017). Collaborators : Alejandro Aceves, Thomas Bartsch, Guido Schneider, and others across Europe and the US. Software : Co-author of PDE2PATH , a MATLAB package for bifurcation analysis in elliptic systems. Advising : Supervised 12 PhD, Master’s, and Bachelor students, including Maximilian Hanisch (Maxwell spectral analysis) and Erik Schwob (nonlinear wave equations). His scientific awards include the Humboldt Research Fellowship (2007-2009) .

• Partial Differential Equations
• Calculus of Variations
• Regularity Theory
• +1 more

Professor Christoph Scheven holds a W2 professorship in the Faculty of Mathematics at Universität Duisburg-Essen. His research focuses on nonlinear partial differential equations, regularity theory, and calculus of variations, with particular expertise in boundary regularity problems and integrability theory for degenerate systems. Scheven's mathematical investigations center on regularity properties of solutions to nonlinear PDE systems, including obstacle problems for porous medium equations and doubly nonlinear systems. His publications demonstrate consistent attention to boundary regularity in diverse geometric domains, blow-up analysis for variationally biharmonic maps, and differentiability theory for Stokes systems.

G. S. WeissView profile

Professor

• Partial Differential Equations
• Free Boundary Problems
• Mathematical Physics
• +3 more

Prof. G. S. Weiss is a full professor at the University of Duisburg-Essen's Faculty of Mathematics, leading the Analysis of Partial Differential Equations (PDEs) research group. He previously held positions at the University of Tokyo and Heinrich Heine University Düsseldorf. His research focuses on free boundary problems, electrohydrodynamics, and geometric analysis, with significant contributions to obstacle problems and water wave dynamics. Education: Diplom (1991) and PhD (1993) in Mathematics from the University of Bonn. Professional experience includes roles at the Max Planck Institute and JSPS/Humboldt Fellowships. He served as Dean of the Faculty of Mathematics at Duisburg-Essen from 2020–2022. Research interests emphasize PDEs, free boundary analysis, and applications to fluid dynamics, with a focus on singularities, regularity theory, and nonlinear phenomena. His work bridges pure and applied mathematics, addressing challenges in mathematical physics and engineering. Recent articles explore global solutions to obstacle problems, fractional Laplacian applications, and neural network training via gradient flows. His research group actively collaborates on topics like water waves and ReLU neural network optimization. Advising includes doctoral students such as Anthony Salib and Simon Eberle. The research group maintains an active presence in international conferences and publishes in top journals like Annals of Mathematics and Communications on Pure and Applied Mathematics .

Klaus DeckelnickView profile

Professor

• Numerical Analysis
• Partial Differential Equations
• Geometric Evolution Equations
• +3 more

Prof. Dr. Klaus Deckelnick is a Professor of Mathematics at Otto von Guericke University Magdeburg, affiliated with the Institute for Analysis and Numerical Analysis (IAN) within the Faculty of Mathematics. His research focuses on numerical analysis, partial differential equations, and geometric evolution equations, with particular expertise in finite element methods, shape optimization, and computational mathematics. He holds a Diploma from the University of Bonn (1988) and a Doctorate (1990) and Habilitation (1996) from the same institution. His academic career includes roles as a Lecturer and Reader at the University of Sussex (1998–2002) before joining Magdeburg in 2002. Research interests span numerical methods for geometric flows (e.g., mean curvature flow, elastic flow), optimal control problems, and error analysis for PDEs. His work often involves developing and analyzing finite element schemes for complex systems, including phase field models and surface evolution coupled with diffusion processes. Recent contributions include quasi-optimal error estimates for elastic flow approximations and novel finite element approaches for anisotropic curve shortening. Publications emphasize rigorous mathematical analysis and computational validation, with key areas in shape optimization using W1,∞ topologies, hyperbolic mean curvature flows, and boundary value problems for Willmore-like functionals. Despite extensive contributions, no scientific awards are explicitly mentioned. Collaborations include researchers like Gerhard Dziuk, Charles M. Elliott, and Ralf Nürnberg. His secretariat contacts are Birgit Dahlstrom and Stephanie Wernicke, supporting administrative and academic coordination.

Charlotte DietzeView profile

Researcher

• Analysis
• Mathematical Physics
• Partial Differential Equations
• +2 more

Charlotte Dietze is a Researcher at the Mathematical Institute of the Ludwig Maximilian University of Munich (LMU), within the Faculty of Mathematics, Computer Science and Statistics. She is an active member of the Working Group Analysis, Mathematical Physics and Numerics, teaching advanced courses including Mathematical Quantum Mechanics (WS 2024/2025) and Numerics I, and maintaining a dedicated office in Block B, 3rd floor, room 333. Her research centers on the rigorous mathematical foundations of physical systems, with core expertise in Analysis and Mathematical Physics . She investigates Partial Differential Equations governing quantum phenomena, Spectral Theory of operators on singular domains, and Many-body Quantum Mechanics systems. Her work bridges abstract mathematical frameworks with concrete physical applications, particularly in quantum dynamics and spectral asymptotics. Recent publications reveal a concentrated focus on spectral behavior in non-smooth geometries (e.g., Hölder domains and singular manifolds), eigenvalue problems with unconventional boundary conditions, and quantum many-body instabilities. Her 2024-2025 work demonstrates increasing sophistication in handling singular metrics and nonlinear quantum systems, often through novel analytical inequalities and semiclassical methods. No scientific awards are documented in the available information. While specific advising activities and grant funding are not detailed, her role in organizing the 2023 Workshop for Young Researchers indicates engagement with emerging scholars. Her PhD thesis Spectral estimates for singular systems establishes foundational work in her field. As a core member of LMU's Working Group Analysis, Mathematical Physics and Numerics, she contributes to a collaborative environment focused on spectral theory, quantum mechanics modeling, and numerical validation of analytical results, fostering interdisciplinary research at the mathematics-physics interface.

Antonella RitortoView profile

Research Fellow

• Partial Differential Equations
• Mathematical Analysis
• Fractional Calculus
• +3 more

Dr. Antonella Ritorto is a Research Fellow in the Chair of Analysis within the Faculty of Mathematics and Geography at Catholic University of Eichstätt-Ingolstadt (The KU). Her academic profile centers on advanced mathematical analysis with specialization in partial differential equations and nonlocal operators. Her educational background includes a Ph.D. in Mathematics from the University of Buenos Aires (2017) with dissertation titled Homogenization and optimal design in nonlocal diffusion , and a Master's degree from the same institution (2014) with thesis Some shape optimization problems . Dr. Ritorto's research program focuses on fractional calculus, particularly the fractional Laplacian and related inequalities. She has made significant contributions to shape optimization problems for nonlocal operators and homogenization theory, especially regarding nonlocal diffusion processes and high-contrast materials. Her methodological approach combines rigorous theoretical analysis with applications to material science, employing advanced techniques from functional analysis, variational methods, and spectral theory. Her publication record features eight substantial works through 2021, demonstrating consistent research productivity with four publications in 2021 alone. These works explore extremals in Hardy-Littlewood-Sobolev inequalities, asymptotic analysis of fiber-reinforced materials, and existence theory for fractional nonlinear Schrödinger equations, revealing her sustained focus on nonlocal operators across multiple mathematical domains. Dr. Ritorto's teaching experience includes Mathematical Methods at Utrecht University (2020), and various mathematics courses including Partial Differential Equations and Functional Analysis at the University of Buenos Aires (2013-2018) and Torcuato di Tella University (2015). Her international collaborations, evident through co-authorship with researchers from multiple institutions, position her within a vibrant global research network focused on advancing the theoretical foundations and practical applications of nonlocal mathematical operators.