جست‌وجوی استاد و پژوهشگر

• Combinatorics
• Algebra
• Geometry
• +۳ مورد دیگر

John Machacek is an Assistant Professor of Mathematics and Computer Science at Hampden-Sydney College. His academic journey includes a PhD in Mathematics from Michigan State University (advised by Michael Shapiro), postdoctoral positions at the University of Oregon and York University, and prior visiting roles at Hampden-Sydney. He specializes in combinatorics with applications to algebra, geometry, topology, and theoretical computer science. His research explores topics such as cluster algebras, matroid theory, graph theory, and scheduling problems. Key educational milestones include a B.S. from the University of Minnesota-Twin Cities (Honors Thesis advised by Victor Reiner) and postdoctoral collaborations with Patricia Hersh and Nantel Bergeron. His Erdős number is 3, reflecting collaborative work in combinatorial mathematics. Research trends in his articles focus on algebraic and geometric combinatorics, including studies on Grassmannians, matroid structures, scheduling algorithms, and discrete dynamical systems. His work bridges pure combinatorics with interdisciplinary applications in physics and computer science. No scientific awards are explicitly listed, though his extensive contributions to MathOverflow and collaborative projects highlight his scholarly engagement. He advises no listed students but actively participates in academic communities across platforms like MathOverflow and Google Scholar. His research outputs span diverse subfields, emphasizing both foundational theory and applied problem-solving.

Roger Bielawskiمشاهده پروفایل

استاد

• Differential Geometry
• Mathematical Physics
• Hyperkähler Manifolds
• +۳ مورد دیگر

Prof. Roger Bielawski is a Professor at the Institute of Differential Geometry within the Faculty of Mathematics and Physics at Leibniz University Hannover. He serves as Spokesperson of the Riemann Center for Geometry and Physics and is a member of its leadership. His research focuses on differential geometry, mathematical physics, and hyperkähler manifolds, with contributions to monopole theory, complex geometry, and geometric analysis. He has organized major conferences such as the 2019 'Geometric and Analytic Aspects of Moduli Spaces' and the 2011 'Variational Problems in Differential Geometry.' His work bridges algebraic geometry, geometric analysis, and theoretical physics, emphasizing structures like spectral curves, integrable systems, and geometric moduli spaces. Roles: Spokesperson (Riemann Center), Professor (Institute of Differential Geometry), Deputy Representative (Faculty Council). Research Interests: Hyperkähler metrics, monopole dynamics, geometric structures in algebraic geometry, and integrable systems. Publications span over three decades, with recent works addressing vector bundles on real curves, quiver representations, and hypercomplex limits. He actively contributes to academic governance and maintains collaborative networks through the Riemann Center and Institute initiatives.

• Numerical Analysis
• Optimization on Manifolds
• Riemannian Geometry
• +۳ مورد دیگر

Ronny Bergmann is an Associate Professor at the Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU) since March 2021. Previously, he held research positions at TU Chemnitz (2018–2021) and TU Kaiserslautern (2013–2018), where he completed his habilitation in 2018. He earned his PhD in 2013 from Universität zu Lübeck under the supervision of Jürgen Prestin. His research focuses on numerical optimization on Riemannian manifolds, geometric computing, and manifold-valued data analysis. Key contributions include the development of the Manifolds.jl and Manopt.jl packages in Julia, which provide frameworks for optimization and data analysis on manifolds. He also works on applications in imaging, inverse problems, and geometric inverse methods. Recent work emphasizes non-smooth optimization on manifolds, Fenchel duality in non-Euclidean spaces, and geometric algorithms for shape analysis. His publications span journals like SIAM Journal on Scientific Computing , Journal of Optimization Theory and Applications , and Applied and Computational Harmonic Analysis . Bergmann teaches courses such as TMA4125 Mathematics 4N and actively promotes reproducible research through tools like Quarto. He collaborates on projects involving Lie groups, mesh denoising, and geometric deep learning.

Matthias Lieroمشاهده پروفایل

پژوهشگر

• Variational Methods
• Continuum Mechanics
• Semiconductor Device Modeling
• +۳ مورد دیگر

Matthias Liero is the acting head of the Partial Differential Equations Research Group at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) , Berlin, and a member of the Berlin Mathematical School (BMS) Postdoctoral Faculty. His research focuses on variational methods for evolution equations , continuum mechanics , modeling semiconductor devices , and optimal transport . He leads projects funded by MATH+, including strain engineering for functional heterostructures and modeling battery electrodes with mechanical interactions. Teaching responsibilities at Humboldt University include advanced courses on optimal transport , calculus of variations , and partial differential equations . He collaborates extensively on interdisciplinary projects, such as electrothermal modeling of organic LEDs and energy-based mathematical methods for multiphase flows. His work bridges applied mathematics, physics, and engineering, emphasizing thermodynamically consistent models and rigorous analytical methods. Notable contributions include developing p(x)-Laplace thermistor models for organic semiconductor devices and advancing the Hellinger-Kantorovich distance in optimal transport theory. Current research explores nonlinear PDEs, phase transitions, and material degradation in energy systems.

• Partial Differential Equations
• Homogenization
• Calculus of Variations
• +۳ مورد دیگر

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.

Agnes Lamacz-Keymlingمشاهده پروفایل

پژوهشگر

• Analysis of PDEs
• Multiscale problems and homogenization
• Wave phenomena

Dr. Agnes Lamacz-Keymling is a researcher at the University of Duisburg-Essen in the AG Optimal Control of Partial Differential Equations. Her research focuses on analysis of PDEs, multiscale problems, homogenization, and wave phenomena. PhD in Mathematics (2011) and Diploma in Mathematics (2008) from TU Dortmund Her work spans homogenization of periodic structures, wave propagation in heterogeneous media, negative index meta-materials, and multiscale modeling. She has received third-party funding through a DFG project on wave propagation in periodic structures and negative refraction. Recent publications highlight trends in Bloch wave homogenization, dispersive wave models, and photonic crystal analysis. Her teaching includes Mathematics E3 and E4 in the winter semester 2021/22. Third-party funding: DFG project on wave propagation in periodic structures and mechanisms of negative refraction (2014)

Salvatore Stuvardمشاهده پروفایل

دانشیار

• Geometric Analysis
• Geometric Flows
• Geometric Measure Theory
• +۴ مورد دیگر

Salvatore Stuvard is an Associate Professor at the Department of Mathematics 'Federigo Enriques' of the University of Milan. He holds a Ph.D. from the University of Zurich (2017), supervised by Camillo De Lellis, and completed a postdoctoral fellowship as a Bing Instructor at the University of Texas at Austin under Francesco Maggi. His research focuses on the regularity properties and singularities of solutions in Geometric Analysis and Geometric Flows, employing techniques from Geometric Measure Theory, PDEs, and Calculus of Variations. Education: Ph.D. in Mathematics, University of Zurich (2017) Bing Instructor, University of Texas at Austin (2017–2021) He co-organizes the Analysis Seminar at the Department of Mathematics since 2024 with Claudia Bucur and Mattia Calzi. Since 2023, he serves on the Steering Committee of the Departmental Center for Training and Research, part of the 'Excellent Departments 2023–2027' initiative by the Italian Ministry. His recent grant, 'Singularities in Geometric Analysis: Minimal Surfaces and Mean Curvature Flows (SiGmA),' was funded under the FIS 2 Starting Grant by the Italian Ministry of University and Research. Upcoming engagements include speaking at the Palazzone SNS (Cortona, 2025), the Regularity Theory for Free Boundary Problems conference (Cervia, 2025), and events in Pisa and Vienna, focusing on geometric variational problems and calculus of variations.

Michael Quellmalzمشاهده پروفایل

پژوهشگر

• Applied Mathematics
• Inverse Problems
• Tomography
• +۴ مورد دیگر

Dr. Michael Quellmalz is a Researcher in Applied Mathematics at the Technical University of Berlin (TU Berlin), affiliated with Faculty II - Mathematics and Natural Sciences and the Institute of Mathematics. His research focuses on inverse problems, tomography, optimal transport, and Fourier analysis with applications in medical imaging and computational geometry. He actively contributes to the SFB Tomography Across the Scales collaborative research center, advancing reconstruction techniques in diffraction tomography and motion detection. He teaches a variety of courses including Analysis II for Engineering, Harmonic Analysis I, and Numerical Mathematics, emphasizing both theoretical foundations and their practical implementations. His work has been recognized through awards such as the Universitätspreise 2020 and a Digital Fellowship for innovative educational contributions in adaptive feedback systems. Key publications include advancements in sliced optimal transport on spheres, motion detection algorithms, and Fourier-based reconstruction methods. Dr. Quellmalz's research group develops MATLAB toolboxes for applications like FourierODT and NFFT-Sinkhorn, reflecting his commitment to bridging mathematical theory with computational tools. His academic journey includes a PhD from TU Chemnitz (2019) and extensive participation in international conferences, workshops, and collaborative projects across Europe.

Tobias Lammمشاهده پروفایل

استاد

• Geometric Analysis
• Partial Differential Equ
• Functional Analysis
• +۵ مورد دیگر

Professor Tobias Lamm is affiliated with the Department of Mathematics at Karlsruhe Institute of Technology (KIT) , where he leads the Applied Analysis Working Group under the Institute for Analysis (Faculty of Mathematics). His research focuses on geometric analysis , nonlinear partial differential equations , and variational problems , with collaborations on topics like Willmore surfaces , mean curvature flow , and minimal hypersurfaces . He teaches courses such as Analysis I/II , Geometric Variational Problems , and Seminar on Geometric Analysis . His workgroup includes current members like Dr. Gianmichele Di Matteo and M.Sc. Sophia Kaltefleiter , with former members including Prof. Dr. Simon Blatt and Prof. Dr. Elena Mäder-Baumdicker . Tobias Lamm has co-organized workshops on Geometric PDEs (Freiburg, 2021) and Geometric Analysis (Frankfurt, 2012).

Rudolf Schererمشاهده پروفایل

استاد

• Numerical Analysis
• Applied Mathematics
• Ordinary Differential Equations (ODEs)
• +۵ مورد دیگر

Prof. Dr. Rudolf Scherer is a faculty member at the Department of Mathematics, Karlsruhe Institute of Technology (KIT). He specializes in Numerical Analysis , Applied Mathematics , and Mathematical Modeling , with a focus on Ordinary and Partial Differential Equations and Fractional Differential Equations . His research spans geometric integration, symplectic methods, and computational techniques for physical systems. Affiliation: Institute for Applied and Numerical Mathematics, KIT Research Interests: Numerical Analysis, ODE/PDEs, Fractional Calculus, Symplectic Integration His work includes collaborations with institutions such as the Chinese Academy of Sciences, Tsinghua University, and Kuwait University, with extended stays across multiple years. Publications highlight applications in stochastic Hamiltonian systems , Maxwell’s equations , and Protter-Morawetz problems for mixed-type PDEs.

• Stochastic Geometry
• Spatial Statistics
• Image Analysis
• +۳ مورد دیگر

Claudia Redenbach is a Professor and Dean of Mathematics at RPTU Kaiserslautern, Germany. She is affiliated with the Department of Mathematics and leads the Statistics Working Group (AG Statistik), with additional connections to the Department of Statistics and the Graduate School 'Mathematics as a Key Technology.' Position: Dean of Mathematics Institution: RPTU Kaiserslautern Location: Building 48, Room 534, Gottlieb-Daimler-Straße, 67663 Kaiserslautern Contact: claudia.redenbach@rptu.de | +49 (0)631 205 3620 Professor Redenbach's research focuses on the intersection of stochastic geometry, spatial statistics, and image analysis with applications in materials science. Her work bridges theoretical mathematics with practical engineering applications, particularly in analyzing microstructures of concrete, foams, composites, and other materials. She has developed innovative methods for analyzing spatial point patterns, directional data, and 3D image data from various microscopy techniques including CT, FIB-SEM, and light-sheet microscopy. Her recent publications (2024-2025) reveal a strong emphasis on computational methods for materials analysis, including crack detection in concrete, fiber orientation analysis, artifact removal in imaging, and the development of mathematical morphology techniques for directional data. She frequently collaborates with materials scientists and engineers, with K. Schladitz appearing as a consistent co-author across numerous publications. Her work demonstrates a consistent focus on developing mathematical tools that solve practical problems in materials characterization and analysis. Professor Redenbach has made significant contributions to spatial statistics, particularly in anisotropy analysis of point patterns, and to the application of stochastic geometry models for material microstructure analysis. Her research spans both theoretical developments in statistical methods and their practical implementation for real-world materials science problems.

• mathematical analysis
• geometric measure theory
• variational problems

Marco Caroccia is a Math Researcher (Tenure Track) at the Department of Mathematics, Politecnico di Milano, where he conducts research in mathematical analysis and geometric measure theory. He completed his Ph.D. in 2015 at the University of Pisa under the supervision of Prof. Giovanni Alberti (University of Pisa) and Francesco Maggi (University of Texas at Austin). Education Ph.D. in Mathematics, University of Pisa, 2015 Research Interests His scholarly focus centers on mathematical analysis and geometric measure theory , with emerging emphasis on variational frameworks as evidenced by his participation in the upcoming Varana 2024 conference (ERICE, September 2024) on "Variational Analysis and Applications" hosted by the International School of Mathematics «Guido Stampacchia». Professional Engagement Speaker/Participant: 77th Course of the International School of Mathematics «Guido Stampacchia» (Varana 2024), ERICE, September 2024

Simon Brendleمشاهده پروفایل

استاد

• Differential Geometry
• Nonlinear Partial Differential Equations
• Geometric Analysis
• +۴ مورد دیگر

Simon Brendle is a German-American mathematician and Professor of Mathematics at Columbia University , having previously served as professor at Stanford University from 2005 to 2016. He also held visiting positions at MIT, ETH Zürich, Princeton University, and Cambridge University. Education: Dr. rer. nat. (2001), University of Tübingen, advised by Gerhard Huisken Research Interests: Simon Brendle works at the intersection of differential geometry and nonlinear partial differential equations . His core areas include conformal geometry , Ricci flow , mean curvature flow , and minimal surface theory . He has resolved celebrated problems such as the differentiable sphere theorem, the Lawson conjecture, and the convergence of the Yamabe flow in all dimensions. His work often involves deep analysis of geometric evolution equations, exploring singularity formation, uniqueness of self-similar solutions, and rigidity phenomena under curvature conditions. Publications Overview: Brendle’s recent articles span breakthrough results on minimal tori in the 3-sphere, rotational symmetry of Ricci-flow singularities, scalar-curvature deformations, and curvature-pinching theorems. Collectively these works advance understanding of geometric flows, global structure theorems, and the interplay between curvature and topology. Awards & Honors: 2024 Breakthrough Prize in Mathematics 2017 Fermat Prize 2017 Simons Investigator Award 2014 Bôcher Prize (AMS) 2012 EMS Prize 2006 Alfred P. Sloan Fellowship Delivered the 2012 Euler Lecture and 2011 Takagi Lectures PhD Advising & Grants: Brendle has mentored doctoral students including Otis Chodosh , now a leading researcher in geometric analysis. His research has been supported by prestigious grants, most notably the Simons Investigator Award. Laboratories & Collaborations: While no formal laboratory is listed, Brendle actively collaborates with leading mathematicians worldwide, including Richard Schoen, Fernando C. Marques, and André Neves, frequently working at the intersection of geometry and analysis.

Michael Karowمشاهده پروفایل

پژوهشگر

• Numerical Linear Algebra
• Control Theory
• Matrix Analysis
• +۶ مورد دیگر

Michael Karow is a Researcher at the Institute of Mathematics , Technical University of Berlin , affiliated with the Faculty II - Mathematics and Natural Sciences . His research focuses on Numerical Linear Algebra , Control Theory , and Matrix Perturbation , with specific interests in Pseudospectra , Stability Radii , and Structured Eigenvalue Problems . Educational background includes a Ph.D. (2003) from the University of Bremen, titled " Geometry of Spectral Value Sets ," and a Habilitation (2009) at TU Berlin. His work spans collaborations with institutions like IIT Guwahati, EPFL Lausanne, and SUNY Utica. His research involves stabilizing discrete-time linear systems via matrix factorizations, structured matrix pencils with no spillover effects, and backward error analysis for palindromic polynomials. Publications highlight applications in finite element model updating , eigenvalue sensitivity , and geometric matrix theory . Teaching includes courses like Numerical Mathematics 1 for Engineering , Differential Equations and Numerics , and Calculus of Variations . He has led workshops in India, Italy, and the U.S., focusing on numerical methods and control theory.

Manuel Friedrichمشاهده پروفایل

استاد

• Calculus of Variations
• Multiscale Methods
• Free-discontinuity Problems
• +۷ مورد دیگر

Manuel Friedrich is a Professor at FAU Erlangen-Nürnberg , where he leads the research group in Applied Analysis. Previously, he held a Junior Professorship at the University of Münster and was a Postdoc at Universität Wien. His work bridges the Calculus of Variations , Multiscale Methods , and Materials Science , with a focus on Free-discontinuity Problems , Atomistic Models , and Geometric Rigidity . Education : PhD in TopMath elite graduate program (University of Augsburg, 2015), Masters and Bachelors in Mathematics (TU München). Research : He explores variational models for brittle fracture , crystallization in lattices , and geometric stability of nanostructures , often collaborating with Ulisse Stefanelli and others. Awards : Recipient of the Feodor Lynen Fellowship (2015-2018) from the Alexander von Humboldt Foundation. Students : Collaborates with researchers like Leonard Kreutz , Lennart Machill , and Konstantinos Zemas on projects involving graphene ripples and viscoelastic plate theory . Grants : Funded by DFG grants for fracture models in SBD (2019-2021) and metric gradient flows in solid mechanics (2021-2024).