جست‌وجوی استاد و پژوهشگر

• Dynamical Systems
• Ergodic Theory
• Representation Theory
• +۳ مورد دیگر

Zhenqi Wang is an Associate Professor in the Department of Mathematics at Michigan State University (MSU), located in C310 Wells Hall. His research focuses on Dynamical Systems, Ergodic Theory, and Representation Theory, with a particular emphasis on rigidity phenomena in algebraic and geometric dynamical systems. His work explores topics such as hyperbolic toral automorphisms, parabolic and partially hyperbolic actions, cocycle rigidity, and the interplay between smooth dynamics and Lie group structures. He has contributed significantly to understanding local and global rigidity properties of algebraic actions, leveraging geometric methods and cohomological techniques. Publications highlight advancements in smooth conjugacy problems, invariant structures under group actions, and the application of ergodic theory to analyze hyperbolic systems. Despite the breadth of his research, no specific awards or grants are explicitly mentioned in available texts.

• Analysis
• Geometry
• Topology
• +۳ مورد دیگر

Luchezar Stoyanov is a Professor at the University of Western Australia (UWA), affiliated with the School of Physics, Maths and Computing within the Department of Mathematics and Statistics. He holds an MSc from Sofia University and PhD and DSc degrees from the Bulgarian Academy of Sciences. His academic career includes roles as a Chief Investigator in research grants, such as the ARC-funded Inverse Scattering and Algorithms project (1998–1999). Education: MSc in Mathematics, Sofia University PhD in Mathematics, Bulgarian Academy of Sciences DSc in Mathematics, Bulgarian Academy of Sciences Research Interests: His research spans Analysis, Geometry, and Topology with expertise in Dynamical Systems, Functional Analysis, and Spectral and Scattering Theory. Key topics include Gibbs measures, Ruelle transfer operators, Anosov flows, and the geometric rigidity of obstacles on Riemannian manifolds. He explores exponential mixing properties, decay of correlations, and inverse scattering methodologies, integrating theoretical mathematics with applications in chaotic systems and geometric analysis. Article Trends: Recent works emphasize spectral theory and dynamical systems. His 2025 preprint investigates Gibbs measures for contact Anosov flows, while 2023 contributions address spectral properties of Ruelle operators and traveling times in convex obstacle setups. Collaborations with researchers like T. Gurfinkel and L. Noakes highlight studies on billiards dynamics and inverse problems, reflecting a focus on geometric and analytical approaches to complex systems. Scientific Awards: BH Neumann Award (2009) Excellence in Teaching Award (1995) Advising & Grants: While no advisees are listed, he co-led the ARC grant Inverse Scattering and Algorithms , advancing methodologies in scattering theory and algorithmic inverse problem solutions. His 103+ research outputs demonstrate sustained contributions to geometric analysis and dynamical systems.

Joonas Ilmavirtaمشاهده پروفایل

دانشیار

• Inverse Problems
• Mathematical Physics
• Applied Mathematics
• +۴ مورد دیگر

Joonas Ilmavirta is an Associate Professor in the Department of Mathematics and Statistics at the University of Jyväskylä, affiliated with the Faculty of Mathematics and Science. He is part of the Centre of Excellence of Inverse Modelling and Imaging (2018–2025) and contributes to the Inverse Problems research group, focusing on mathematical frameworks for indirect measurements. His work intersects applied and pure mathematics, with applications in geophysics, material science, and astrophysics. Research interests include inverse problems, geometric analysis, and tomography. Key areas are the reconstruction of structures from boundary measurements (e.g., seismic imaging, elasticity tomography), spectral rigidity of manifolds, and quantum computing algorithms for inverse problems on graphs. He explores theoretical foundations and practical implementations of indirect measurement techniques, emphasizing stability, uniqueness, and computational methods. Notable contributions include studies on Finsler geometry, anisotropic elasticity, and low-regularity manifolds. His work addresses challenges in geophysical imaging, such as determining Earth’s internal structure or gas giant compositions using seismic or gravitational data. Collaborative projects involve the FAME Flagship initiative, advancing sensing, imaging, and modeling through inverse problem methodologies. Publications emphasize geometric tomography, ray transforms, and mathematical physics, with a focus on rigorous analysis and interdisciplinary applications. He engages with both theoretical developments and computational tools, bridging pure mathematics with real-world inverse problem solutions.

Gerhard Knieperمشاهده پروفایل

استاد

• Riemannian Geometry
• Geodesic Flows
• Dynamical Systems
• +۵ مورد دیگر

Prof. Dr. Gerhard Knieper is a Professor at the Department of Analysis, Faculty of Mathematics, Ruhr University Bochum. His research focuses on Riemannian Geometry, Geodesic Flows, Dynamical Systems, and Ergodic Theory. He leads the Gruppe Knieper , part of the Floer Center of Geometry, and contributes to projects like the SFB/TRR 191. His work explores geometric and dynamical properties of manifolds, with recent emphasis on negative curvature, entropy, and rigidity phenomena. Publications highlight studies on geodesic flows, hyperbolic dynamics, and spectral geometry. Notable contributions include quantitative closing lemmas, entropy uniqueness, and geometric rigidity. Knieper’s research bridges differential geometry with topological dynamics, addressing questions in nonpositive curvature and asymptotic harmonic manifolds. He advises researchers like Dr. Benjamin Schulz-Rosenberger and Jacobus de Pooter, and collaborates internationally. His work appears in top journals like Annals of Mathematics and Ergodic Theory and Dynamical Systems .

• Arithmetic Geometry
• Representation Theory
• Algebraic Geometry
• +۳ مورد دیگر

Dr. João Lourenço is a Researcher at the Mathematisches Institut of the University of Münster , affiliated with the Cluster of Excellence Mathematics Münster: Dynamics - Geometry - Structure (CRC 1442) . His research focuses on arithmetic geometry and representation theory, with contributions to Schubert varieties, moduli spaces, and geometric Satake equivalences in mixed characteristic contexts. He actively participates in research projects T1–T4 under the CRC program. Key research interests include arithmetic geometry , representation theory , and the interplay between algebraic groups and cohomology. His work addresses foundational questions in p-adic geometry, Bruhat-Tits theory, and the structure of affine Grassmannians. Recent publications explore normality of Schubert varieties in positive characteristic and tubular neighborhoods of local models. Dr. Lourenço collaborates with international researchers such as Thomas Haines, Timo Richarz, and Simon Riche. His research is supported by the CRC 1442, focusing on geometric deformations and rigidity phenomena. He has contributed to foundational papers in Annales Scientifiques de l’École Normale Supérieure and Forum of Mathematics, Sigma , among others.

Dan Ursuمشاهده پروفایل

پژوهشگر

• Operator algebras
• Mathematical physics
• Geometry

Dr. Dan Ursu is a researcher at the Mathematical Institute of the University of Münster, Germany. He is a member of the Cluster of Excellence Mathematics Münster and the Collaborative Research Centre (CRC) 1442 'Geometry: Deformations and Rigidity'. His research focuses on operator algebras, mathematical physics, and geometric group theory. He maintains active collaboration with the CRC and contributes to interdisciplinary projects within the institute. Education details are not explicitly provided, but his research interests emphasize advanced algebraic structures, functional analysis, and geometric applications. His work often intersects with noncommutative geometry, group C*-algebras, and dynamical systems. Dr. Ursu’s publications (2018–2024) consistently explore topics like crossed products, C*-simplicity, and ideal structures in operator algebras. These studies reflect a deep engagement with foundational questions in functional analysis and their connections to geometric and group-theoretic frameworks. He currently holds no listed scientific awards but is actively involved in academic service through the institute’s research initiatives. No advising or grant information is provided in the source text. He is affiliated with the CRC 1442 and Mathematics Münster, contributing to collaborative research environments focused on geometric deformations and rigidity in mathematical structures.

• Group Theory
• Geometric Group Theory
• Algebra
• +۶ مورد دیگر

Francesco Fournier-Facio is a mathematician holding dual academic appointments at the University of Cambridge as a Herchel-Smith Fellow at the Department of Pure Mathematics and Mathematical Statistics (DPMMS) within the School of Physical Sciences, and as a Henslow Fellow of the Cambridge Philosophical Society based at Wolfson College. He serves as a Governing Body Fellow and Junior Research Fellow at Wolfson College. His educational background includes a Bachelors degree from EPFL in Lausanne, followed by Masters and PhD studies at ETH Zurich, Switzerland, where he worked under Alessandra Iozzi. Fournier-Facio's research centers on group theory—the mathematical study of symmetry—with work spanning algebra, geometry, topology, and dynamics. His research program focuses on two interconnected areas: bounded cohomology and its applications to geometric topology and rigidity theory, and metric approximations of groups with particular attention to stability properties. His approach exemplifies geometric group theory, using geometric interpretations to understand algebraic structures. His recent publication output includes a significant 81-page paper on torsion-free Tarski monsters, reflecting his work at the intersection of model theory and geometric group theory. This research contributes to understanding fundamental properties of infinite groups with unusual structural characteristics. Fournier-Facio is currently seeking fellowship or tenure-track positions to begin by autumn 2026, indicating an active career trajectory in academic mathematics.

• Differential Geometry
• Geometric Analysis
• Partial Differential Equations
• +۶ مورد دیگر

Klaus Kröncke is an Associate Professor in the Department of Mathematics at KTH Royal Institute of Technology in Stockholm, Sweden. He is part of the research group in Differential Geometry and General Relativity within the Division of Analysis, Dynamics, Geometry, Number Theory and PDE. His academic journey began with diploma studies in Mathematics at the University of Vienna, followed by a PhD in Mathematics at the University of Potsdam under the supervision of Christian Bär, funded by the Max Planck Institute for Gravitational Physics. Prior to joining KTH, he served as an assistant professor at the University of Hamburg and was a visiting professor at the University of Tübingen during 2020-2021. He also held a postdoc position at the University of Regensburg. Dr. Kröncke's research focuses on the intersection of differential geometry, geometric analysis, partial differential equations, and general relativity. His work centers on special geometric structures, particularly Einstein metrics and Ricci solitons, investigating their stability properties and the structure of their moduli spaces. He has made significant contributions to the study of geometric flows, especially Ricci flow, and has explored nonlinear stability problems in general relativity. His research approach combines deep theoretical insights with rigorous mathematical analysis to address fundamental questions in geometric analysis. Analysis of Dr. Kröncke's recent publications reveals a consistent focus on stability phenomena in geometric structures. His work spans from abstract mathematical investigations of Einstein manifolds to concrete applications in general relativity. A notable trend is his increasing focus on manifolds with singularities and boundary conditions, reflecting the growing importance of these structures in both mathematics and theoretical physics. His collaborations span multiple institutions across Europe, demonstrating the international recognition of his expertise in geometric analysis. Dr. Kröncke's research is supported by prestigious foundations: The Göran Gustafsson Foundation (project "Aspects of stability for the Einstein equation" 2022-2026) The Verg foundation (project "Geometric foliations and curvature flows for null hypersurfaces in general relativity" 2023-2025) As an advisor, Dr. Kröncke currently supervises PhD student Rasmus Johansen Jouttijärvi and has previously advised Áron Szabó (2016-2021). He leads a research team that includes postdocs Markus Wolff and Louis Yudowitz. His mentoring extends to numerous postdoctoral researchers including Sari Ghanem, Felix Lubbe, Francesca Oronzio, Oliver Petersen, and Alan Pinoy. Dr. Kröncke is actively involved in organizing academic events, having co-organized conferences such as "Einstein Spaces and Special Geometry" at the Institute Mittag-Leffler (2023) and "Scalar curvature rigidity" block seminar (2025).

• Riemannian Geometry
• Non-negative/Positive Sectional Curvature
• Intermediate Ricci Curvature
• +۳ مورد دیگر

David González Álvaro is a Professor at the Department of Applied Mathematics and Computer Science to Civil and Naval Engineering at the Universidad Politécnica de Madrid (UPM). He holds a PhD from Universidad Autónoma de Madrid (2016) and has held postdoctoral positions at the University of Fribourg (Switzerland) and visiting roles at institutions including the University of Münster and Notre Dame. His research focuses on Riemannian Geometry , particularly manifolds with non-negative or positive curvature, and intermediate Ricci curvature phenomena. He is a co-organizer of the Geometry Group seminar at UPM and part of the AGAPI and Geometría y sus aplicaciones research groups. Education: PhD in Mathematics (2011-2016), Universidad Autónoma de Madrid MSc in Mathematics (2010-2011), Universidad Autónoma de Madrid BSc in Mathematics (2006-2010), Universidad Autónoma de Madrid Research Highlights: Recipient of the 2018 Vicent Caselles Prize (RSME & BBVA Foundation) Focus on curvature preservation under geometric flows (e.g., Ricci flow) Contributions to biquotient vector bundle theory and soul conjectures Teaching: Currently teaches Calculus II and Field Theory at UPM, with prior roles at Universidad Autónoma de Madrid and the University of Fribourg.

Melanie Rupflinمشاهده پروفایل

استاد

• Nonlinear Partial Differential Equations
• Geometric Analysis
• Harmonic Maps
• +۳ مورد دیگر

Prof. Melanie Rupflin is a Professor of Mathematics at the University of Oxford's Mathematical Institute, based in the Andrew Wiles Building. Her research focuses on nonlinear partial differential equations (PDEs) and geometric variational problems, particularly harmonic maps and geometric flows such as the Teichmüller harmonic map flow. She develops quantitative theories to analyze singularity formation, energy concentration, and gradient flow dynamics. Her work emphasizes precise control over geometric evolution processes and their asymptotic behavior. She collaborates extensively with Peter Topping and others, producing influential papers on topics like bubble tree convergence, Lojasiewicz inequalities, and geometric PDEs on surfaces. Rupflin also teaches advanced courses such as Part A Differential Equations and Part B Functional Analysis 2, with lecture materials available via the Oxford Mathematics YouTube channel. Her research addresses fundamental questions in geometric analysis, including the existence and uniqueness of weak solutions, energy quantization, and the interplay between topology and PDE dynamics. Current projects explore refined asymptotics of geometric flows and boundary value problems in hyperbolic geometry.

• Geometric Mechanics
• Differential Geometry
• Numerical Analysis
• +۳ مورد دیگر

George Patrick is an academic with a focus on geometric mechanics, differential geometry, and numerical analysis. He served as an Instructor from 2010 to 2020, teaching advanced mathematics courses including Calculus II-IV, Differential Equations, and Differential Geometry. His research emphasizes theoretical and computational aspects of dynamical systems, nonholonomic mechanics, and variational integrators. He developed CPOLYCC, a C++ library for multiprecision characteristic polynomial calculations, addressing precision challenges in numerical linear algebra. Research Interests: Geometric Mechanics, Hamiltonian Systems, Numerical Stability Analysis, Nonholonomic Dynamics, Variational Principles, and Computational Geometry. Publications: Over 15 key articles spanning 1985–2023, including foundational work on variational integrators, nonholonomic systems, and stability analysis of relative equilibria. His work bridges pure mathematics and computational methods, with applications in robotics, fluid dynamics, and dynamical systems. The CPOLYCC library demonstrates his focus on precision-critical numerical algorithms, addressing challenges in high-dimensional matrix computations.

Roman Sauerمشاهده پروفایل

استاد

• Topology
• Geometric Group Theory
• Geometric Topology
• +۳ مورد دیگر

Prof. Dr. Roman Sauer is a Professor of Mathematics at Karlsruhe Institute of Technology (KIT), leading the Topology and Geometric Group Theory Group within the Institute of Algebra and Geometry. His research focuses on geometric topology, geometric group theory, and L²-invariants, with particular emphasis on manifolds, cohomology, and group actions. He has held roles such as Head of the Topology Group and contributed to foundational work on simplicial volume, bounded cohomology, and Kazhdan properties. Key research areas include the interplay between geometry and topology in manifolds, the study of arithmetic groups through profinite invariants, and applications of measure-theoretic methods to group theory. His work often bridges algebraic topology with geometric analysis, addressing questions about rigidity, stability, and quantitative invariants. Publications highlight contributions to L²-Betti numbers, geometric group actions, and the interplay between group properties and topological structures. Notable collaborations involve Uri Bader, Clara Löh, and others in advancing the field of geometric topology and related cohomological theories.

• Black holes
• Boundary value problems
• Differential equations
• +۶ مورد دیگر

Lorenzo Mazzieri is a Full Professor of Mathematical Analysis at the Department of Mathematics, University of Trento. His academic career includes roles as Assistant Professor (2011–2015) and Associate Professor (2015–2021) at the Scuola Normale Superiore of Pisa and University of Trento, respectively. His expertise spans Black holes, Differential geometry, General relativity, and Nonlinear elliptic PDEs. Education: He holds a Mathematics degree with merits from the University of Parma (2004) and a Ph.D. cum laude in Mathematics from Scuola Normale Superiore of Pisa (2008), with joint supervision from Université Paris 12. His postdoctoral positions included the Max Planck Institute for Gravitational Physics (2008–2009) and Scuola Internazionale Superiore di Studi Avanzati (SISSA) in Trieste (2009–2010). Research interests focus on geometric analysis, PDEs on manifolds, and applications to relativity. His work bridges differential geometry with problems like the Serrin conjecture, Penrose inequality, and Minkowski inequalities. Recent studies include geometric flows, capacity theory, and spacetime uniqueness. Publications highlight contributions to geometric inequalities, PDEs, and relativistic physics, with a focus on manifold analysis and nonlinear potential theory. His articles address topics such as p-capacity asymptotics, Riemannian Penrose inequality, and Schwarzschild–de Sitter uniqueness. Professional activities include teaching at the Scuola Normale Superiore and leadership in research programs like the FIRB-IDEAS initiative. He has advised doctoral students and contributed to international collaborations in geometric analysis and mathematical physics.

• Differential geometry
• Riemannian geometry
• Geometric evolution equations
• +۱ مورد دیگر

Burkhard Wilking is a Professor at the University of Münster, specializing in differential and Riemannian geometry, as well as geometric evolution equations. His career spans roles at the University of Pennsylvania (Assistant Professor, 2001-2002; Lecturer, 1999-2000) and a DFG-Stipendiat position (2000-2001). His research focuses on manifolds, curvature analysis, and symmetry in geometric structures.

Hari Kunduriمشاهده پروفایل

دانشیار

• General Relativity
• Mathematical Physics
• Black Holes
• +۳ مورد دیگر

Dr. Hari Kunduri is an Associate Professor in the Department of Mathematics and Statistics at Memorial University of Newfoundland. His research focuses on mathematical and theoretical aspects of black holes within general relativity and its extensions in string theory. He holds a Ph.D. from the University of Cambridge (2007), following undergraduate and master's degrees from the University of Toronto and Cambridge, respectively. Education: Ph.D. in Applied Mathematics and Theoretical Physics, University of Cambridge (2007) M.Math (CASM), University of Cambridge (2002) B.Sc. (Honors), University of Toronto (2001) Research Interests: Dr. Kunduri explores the mathematical structures underlying black hole solutions in general relativity and higher-dimensional spacetimes. His work intersects Riemannian geometry, gravitational physics, and string theory. Key areas include the study of horizon geometries, extremal black holes, and the Penrose inequality. He investigates how these systems behave under various symmetries and topological configurations. Teaching: Dr. Kunduri has taught advanced courses such as Riemannian Geometry, Differential Geometry, Partial Differential Equations, and Calculus on Manifolds. His teaching reflects his expertise in bridging pure mathematics with applications in theoretical physics. Publications: His research spans articles on black hole mechanics, quasi-Einstein metrics, and gravitational solitons. Notable themes include higher-dimensional spacetime analysis, Penrose inequality validations, and the stability of black hole solutions.