جستجوی استاد راهنمای دانشگاهی

Daniel Hugمشاهده پروفایل

استاد

• Probability
• Geometry
• (Convex) geometric analysis
• +۳ مورد دیگر

Prof. Dr. Daniel Hug is a Professor at the Karlsruhe Institute of Technology (KIT) , affiliated with the Department of Mathematics and the Institute of Stochastics . His research focuses on Probability , Geometry , Convex geometric analysis , Stochastic geometry , and Educational mathematics . He contributes to the DFG Priority Program Random Geometric Systems and previously participated in the DFG research unit Geometry and Physics of Spatial Random Systems . Prof. Hug has co-authored two influential monographs: Poisson Hyperplane Tessellations (Springer Monographs in Mathematics) and Lectures on Convex Geometry (Springer Graduate Texts in Mathematics, 2020). His work spans theoretical advancements in convex and stochastic geometry , including integral geometry, random mosaics, and tensor valuations, alongside applied studies in digital microstructures and Minkowski tensors . His publications from 2025–2024 emphasize hyperbolic space , Boolean models , and Minkowski tensor estimators , reflecting ongoing collaborations with researchers like M. Klatt, C. Thäle, and R. Schneider. Prof. Hug leads courses such as Stochastic Geometry and seminars on Random graphs and tessellations , and is actively involved in working groups like AG Stochastische Geometrie and AG Stochastik .

Léo Bigorgneمشاهده پروفایل

پژوهشگر

• Partial Differential Equations
• Plasma Physics
• General Relativity
• +۳ مورد دیگر

Léo Bigorgne is a CNRS Research Fellow (Chargé de recherche CNRS) at the University of Rennes 1, affiliated with the Rennes Institute of Mathematical Research (IRMAR). He works within the Partial Differential Equations team of the IRMAR laboratory, focusing on mathematical problems arising from plasma physics and general relativity. Dr. Bigorgne's research primarily centers on the asymptotic analysis of equations from plasma physics and general relativity. His work extensively investigates the Vlasov-Maxwell and Vlasov-Poisson systems, with particular focus on: Asymptotic behavior and decay estimates of solutions Scattering theory for kinetic equations Global existence results for small data solutions Mathematical analysis of Vlasov equations in curved spacetimes Applications to plasma physics and gravitational physics His publication record demonstrates consistent contributions to top mathematical physics journals including Communications in Mathematical Physics, Annales Henri Poincaré, and SIAM Journal on Mathematical Analysis. Dr. Bigorgne frequently collaborates with international researchers, particularly with members of the Velozo Ruiz family on various aspects of Vlasov equations. Dr. Bigorgne maintains an active research program with publications spanning from 2017 to projected 2025, indicating ongoing significant contributions to mathematical physics. His work bridges pure mathematics with applications in theoretical physics, particularly in understanding the mathematical foundations of plasma dynamics and gravitational physics.

• Ergodic Theory
• Multifractal Analysis
• Dynamical Systems
• +۳ مورد دیگر

Meng Wu is a professor at the Department of Mathematical Sciences, University of Oulu, Finland. Previously, he held postdoctoral positions at the Einstein Institute of Mathematics, Hebrew University of Jerusalem (2017), and at the University of Oulu (2013-2016), followed by a University Researcher role there (2017-2018). His work bridges ergodic theory, dynamical systems, and fractal geometry. Research interests include multifractal analysis, self-similar sets, and geometric measure theory. Recent work explores Furstenberg-type slicing theorems, scaling limits of self-conformal measures, and projection theorems with applications to exact overlaps conjectures. His publications often employ ergodic theory and dynamical systems to analyze fractal dimensions and geometric properties of sets. Trends in his articles highlight connections between number theory, probability, and fractal geometry, focusing on Hausdorff and Assouad dimensions, oriented random walks, and renormalization techniques. Collaborations include A.H. Fan, J. Schmeling, L.M. Liao, and A. Algom.

• Modular Forms
• Number Theory
• Geometry
• +۳ مورد دیگر

Prof. Dr. Claudia Alfes is a faculty member at the Faculty of Mathematics, University of Bielefeld , holding a W2 Professorship since 2021. Formerly, she occupied a W1 Professorship at the University of Paderborn (2017-2021) and postdoctoral positions at the Universities of Cologne, Heidelberg, and TU Darmstadt. PhD in Mathematics (summa cum laude) at TU Darmstadt (2010-2015) MA in Mathematics at University of Wisconsin-Madison (2008-2009) via Fulbright Diploma in Mathematics at RWTH Aachen (2005-2010) Her research lies at the intersection of modular forms , number theory , and representation theory , focusing on real-analytic generalizations and higher-rank groups. Recent work includes polyharmonic Maaß forms, Shintani theta lifts, and cycle integrals of meromorphic modular forms. Key trends in her 15 most recent articles (2010-2025) include: Advances in harmonic weak Maass forms and their classifications Applications to CM points, singular moduli, and rationality questions Connections between quiver representations, Ehrhart polynomials, and symplectic Hecke eigenbases Development of summation formulas and automorphic periods Scientific distinctions include Admission to the Junge Kolleg (2020) Summa cum laude doctorate (2015) She leads Subprojects A01 and B01 in the SFB TRR 358/1 (2023-2026) and received grants from the Klaus Tschira Boost Fund (2021-2022) and Daimler & Benz Foundation (2021).

Zakhar Kabluchkoمشاهده پروفایل

استاد

• Stochastic Processes
• Convex and Integral Geometry
• Random Trees and Branching Processes
• +۵ مورد دیگر

Prof. Zakhar Kabluchko is a faculty member at the University of Münster, affiliated with the Institut für Mathematische Stochastik and the Mathematics Münster cluster of excellence. His research focuses on stochastic processes, convex and integral geometry, and probabilistic number theory. He holds a professorship and has contributed to high-impact publications in areas like random polytopes, stochastic geometry, and extreme value theory. His research interests include the study of random analytic functions, stochastic processes in high dimensions, and geometric probability. Notably, he has explored beta-star polytopes, Poisson zero cells, and the interplay between convex hulls and random walks. Kabluchko has also investigated applications of stochastic geometry in statistical mechanics and number theory. Recent work includes studies on high-dimensional limit theorems, propagation of chaos in spin systems, and the geometry of random simplices. He collaborates actively with researchers like Christoph Thäle and Vladimir Vysotsky, contributing to advancements in geometric probability and stochastic analysis.

Arnold Reuskenمشاهده پروفایل

استاد

• Numerical Analysis
• Finite Element Methods
• Multigrid Methods
• +۷ مورد دیگر

Prof. Dr. Arnold Reusken is a full Professor of Numerical Mathematics at RWTH Aachen University, affiliated with the Institute for Geometry and Practical Mathematics (IGPM). He has held the Chair for Numerical Mathematics since 1997 and maintains an active research and academic profile in computational mathematics. Education: Ph.D. in Mathematics, University of Utrecht (1988) M.Sc. in Mathematics, University of Utrecht (1984) His research focuses on the development and analysis of numerical methods for partial differential equations, with particular emphasis on finite element methods, multigrid solvers, and computational techniques for two-phase incompressible flows and PDEs on surfaces. His work bridges theoretical numerical analysis and practical scientific computing applications in fluid dynamics and interfacial phenomena. He has made significant contributions to trace finite element methods, surface Stokes equations, and unfitted discretizations. The recent publication trend shows sustained activity in numerical methods for evolving surfaces, surface fluid dynamics, and preconditioning techniques. His work often involves rigorous error and stability analysis, demonstrating a strong theoretical foundation. Editorial Roles: Associate Editor, Journal of Numerical Mathematics (2015–present) Associate Editor, IMA Journal of Numerical Analysis (2020–present) Former Associate Editor, SIAM Journal on Numerical Analysis (2016–2021) Former Associate Editor, SIAM Journal on Scientific Computing (2002–2008) Former Associate Editor, Computing & Visualization in Science (2010–2021) Member of Advisory Board, Computing (1997–2009) Prof. Reusken has advised numerous students and researchers, though specific names are not listed in the provided text. He has been involved in collaborative research projects and has secured funding for work in numerical simulation and computational fluid dynamics. He co-authored the influential textbook Numerik für Ingenieure und Naturwissenschaftler , now in its third edition, and has contributed to other key publications in the field. He leads a research group at IGPM focused on numerical methods for interface and surface problems, contributing to both fundamental algorithm development and practical implementation in scientific computing. His team works on cutting-edge methods for simulating complex fluid systems with moving boundaries and topological changes.

André Uschmajewمشاهده پروفایل

استاد

• Numerical Analysis
• Tensor Methods
• Low-Rank Approximation
• +۷ مورد دیگر

Prof. Dr. André Uschmajew is a full professor and holds the Chair of Mathematical Data Science at the Institute of Mathematics, Faculty of Mathematics, Natural Sciences, and Materials Engineering, University of Augsburg, Germany. He has held prominent research and academic positions at institutions including the Max Planck Institute for Mathematics in the Sciences (Leipzig), University of Bonn, and EPF Lausanne. 2022–present: Chair of Mathematical Data Science, University of Augsburg 2017–2022: Research Group Leader, Max Planck Institute MiS Leipzig 2014–2017: Bonn Junior Fellow Professorship, University of Bonn 2013: Ph.D. in Mathematics, TU Berlin His research centers on the theoretical and computational aspects of low-rank tensor and matrix approximations, with deep connections to Riemannian optimization, functional analysis, and high-dimensional scientific computing. He investigates the geometry of low-rank varieties, convergence of alternating algorithms, and applications in data science and dynamical systems. His work combines rigorous mathematical analysis with algorithmic innovation. The recent publications (2023–2025) reflect a strong focus on optimization methods for low-rank structures, dynamical low-rank approximation for PDEs like the Vlasov-Poisson equation, randomized SVD, Sinkhorn-type algorithms with overrelaxation, and Kronecker product operator approximation. Key themes include convergence analysis, algorithmic acceleration, and applications in scientific computing and signal processing. Although no specific awards are listed, his publication record in top-tier journals such as Numerische Mathematik , SIAM Journal on Optimization , and Foundations of Computational Mathematics indicates significant recognition in applied mathematics and numerical analysis. He advises students and researchers in mathematical data science and numerical analysis, though specific advisees are not named. He teaches courses such as Kernel Methods and Linear Algebra II. He has collaborated with leading researchers including Bart Vandereycken, Daniel Kressner, and Wolfgang Hackbusch. His work is supported through institutional affiliations and likely research grants, though specific grants are not listed. He is actively involved in the development of numerical methods for high-dimensional problems, particularly using tensor networks and manifold optimization. He is affiliated with research teams at the University of Augsburg and previously led a group at the Max Planck Institute MiS Leipzig, focusing on mathematical aspects of data science and tensor methods.

Francesco Cattafiمشاهده پروفایل

پژوهشگر ارشد

• Differential Geometry
• Lie Groupoids and Algebroids
• Cartan Geometries
• +۵ مورد دیگر

Francesco Cattafi is a post-doctoral researcher in differential geometry at the Chair of Mathematics X (Geometry) of Julius-Maximilians-Universität Würzburg, funded by the DFG Walter Benjamin Programme. He conducts research on Lie groupoids/algebroids, Cartan geometries and the geometry of PDEs, and is currently on the academic job market for positions starting Fall 2025. Education PhD in Mathematics (2015–2020) – Universiteit Utrecht, The Netherlands MSc in Mathematics (2013–2015) – Università degli Studi di Torino, Italy BSc in Mathematics (2010–2013) – Università degli Studi di Torino, Italy Research Interests Cattafi's work lies at the intersection of differential geometry, Lie theory and the geometric theory of PDEs. His primary focus is on Lie groupoids and algebroids , investigating their role in describing symmetries and equivalences of geometric structures. He studies Cartan geometries and G-structures to understand integrability via multiplicative forms and Pfaffian systems. A recurring theme is translating analytic questions about PDEs into geometric problems involving Lie pseudogroups and Morita equivalences. Publications Overview Since 2016 Cattafi has authored or co-authored seven peer-reviewed papers spanning foundational aspects of transitive differential geometry and applications to Poisson and symplectic geometry. Early work with Palese and Winterroth explored variational calculus and Noether currents, while his PhD-era collaborations with Crainic and Salazar linked PDE analysis to Pfaffian fibrations. Recent preprints treat PB-groupoids versus VB-groupoids and novel groupoid-theoretic approaches to symmetry and equivalence problems. Grants & Fellowships DFG Walter Benjamin Fellowship (2021–present) – Julius-Maximilians-Universität Würzburg Junior Research Fellowship (2021) – Erwin Schrödinger Institute, Vienna Post-doctoral grant (2021) – Wolfgang Pauli Institute, Vienna Post-doctoral grant (2020) – KU Leuven, Belgium Contact & Online Presence Room 00.003, Building 31 (Physics East), Emil-Fischer-Straße 31, 97074 Würzburg, Germany Email: francesco.cattafi@uni-wuerzburg.de ORCID: 0000-0001-9785-0770

Artem Sapozhnikovمشاهده پروفایل

استاد

• Probability theory
• percolation
• random walks
• +۱ مورد دیگر

Artem Sapozhnikov is a Professor at the Mathematisches Institut of Universität Leipzig, Germany. His research focuses on probability theory, particularly percolation, random walks, and random graphs. He maintains an active research program with numerous publications and supervises PhD students and postdocs. Professor Sapozhnikov teaches a range of mathematics courses for physicists, including Mathematics for Physicists 1-4, Probability Theory I & II, and specialized courses on percolation. His teaching spans both undergraduate and graduate levels, demonstrating his commitment to mathematical education. His research interests center around probability theory , with specific focus on: Percolation theory and phase transitions Random walks and their properties on various structures Random interlacements and Brownian motion Boolean models and geometric probability Models with long-range correlations His work bridges theoretical probability with applications in statistical physics. Analysis of his recent publications shows a strong focus on the properties of random interlacements, Brownian motion, and percolation models. His research examines connectivity properties, phase transitions, and geometric aspects of these stochastic processes. Recent work with Yingxin Mu has explored visibility windows and indistinguishability of components in various models. Earlier collaborations with Caio Alves, Deepan Basu, and Yinshan Chang investigated decoupling inequalities, crossing probabilities, and loop percolation. Professor Sapozhnikov has supervised several PhD students and postdocs, including: Deepan Basu (PhD 2013-2017) Caio Alves (postdoc 2016, 2017-2020) Yinshan Chang (postdoc 2013-2016) Lorenzo Taggi (PhD 2012-2015) Yingxin Mu (postdoc 2021-2023) He currently has open positions for PhD students through the IMPRS program.

• Differential Geometry
• Mathematical Physics
• Symplectic Geometry
• +۵ مورد دیگر

Prof. Vicente Cortés is a faculty member in the Department of Mathematics at the University of Hamburg, affiliated with the MIN Faculty and the Center for Mathematical Physics. He holds the academic rank of Professor and specializes in differential geometry, mathematical physics, and geometric analysis. His research focuses on topics such as quaternionic Kähler manifolds, Einstein metrics, generalized complex structures, and geometric flows. He is involved in major research initiatives including the Cluster of Excellence Quantum Universe and Collaborative Research Centre (SFB) 1624. His work bridges geometry with theoretical physics, particularly in areas related to supersymmetry, supergravity, and string theory. Notable contributions include studies on homogeneous spaces, conformal transformations, and geometric structures on Lie groups. He actively organizes conferences and workshops, such as the Northern German Differential Geometry Days and events under the SFB 1624. Prof. Cortés teaches advanced courses in differential geometry and mathematical physics, including 'Differential Geometry' and 'Generalized Geometry' at the master's level. His research is supported by grants from the Deutsche Forschungsgemeinschaft (DFG) and other institutions. He collaborates internationally, with co-authors from institutions like the University of Edinburgh, DESY, and KU Leuven.

Yuri B. Surisمشاهده پروفایل

استاد

• Discrete Differential Geometry
• Integrable Systems
• Mathematical Physics
• +۳ مورد دیگر

Prof. Yuri B. Suris is a distinguished academic at the Institute of Mathematics, Technical University of Berlin, specializing in integrable systems, discrete differential geometry, and mathematical physics. His research focuses on geometric discretization methods, integrable lattices, and the interplay between continuous and discrete systems. He has contributed to foundational works on pluri-Lagrangian systems, discrete Painlevé equations, and the Hirota-Kimura discretization approach. Suris has authored seminal books such as The Problem of Integrable Discretization: Hamiltonian Approach and Discrete Differential Geometry: Integrable Structure . He actively participates in editorial roles for journals like Journal of Nonlinear Mathematical Physics and coordinates large-scale projects like Methods of Integrable Systems, Geometry, and Applied Mathematics (MISGAM). His teaching spans advanced courses on mathematical physics, analysis, and geometry, alongside mentoring the Berlin Mathematical School's student circles. Suris' work bridges pure mathematics with applications in dynamical systems and numerical analysis, emphasizing geometric and algebraic structures in discrete settings.

Christoph Thäleمشاهده پروفایل

استاد

• Stochastic Geometry
• Geometric Probability
• Limit Theorems
• +۴ مورد دیگر

Professor Christoph Thäle is a faculty member in the Faculty of Mathematics at Ruhr-Universität Bochum . His research focuses on stochastic geometry, geometric probability, limit theorems for random structures, and applications of Malliavin calculus and Stein's method. He has supervised numerous PhD and master's students, including Tristan Schiller, Nils Heerten, and Kathrin Meier. His work bridges theoretical probability with geometric analysis, particularly in high-dimensional spaces. Research Interests: Stochastic Geometry, Convex Geometry, Limit Theorems, Random Structures in High Dimensions Team Members: Postdocs (Panagiotis Spanos, Ercan Sönmez), PhD students (Philipp Tuchel, Bahareh Yousefi), and collaborators like Anna Gusakova and Zakhar Kabluchko. Key contributions include studies on random polytopes, Poisson hyperplane tessellations, and geometric analysis in hyperbolic spaces. His recent publications (2023–2025) explore intersection probabilities, radial spanning trees, and large deviations in high-dimensional settings. Thäle's research has been supported by collaborations with institutions like the University of Duisburg-Essen and the University of Osnabrück.

Gianluigi Rozzaمشاهده پروفایل

استاد

• Numerical Analysis
• Computational Fluid Dynamics
• Scientific Computing
• +۶ مورد دیگر

Gianluigi Rozza is a Full Professor in Numerical Analysis and Scientific Computing at SISSA (International School for Advanced Studies) in Trieste, Italy. He leads the SISSA mathLab research group and serves as Coordinator of the Mathematics Area at SISSA. He holds roles such as SISSA Director's Delegate for Innovation and Knowledge Transfer and member of various committees including the SISSA HPC Committee and SIAM Student Chapter. His research focuses on numerical analysis, computational fluid dynamics, reduced order methods (ROM), and their applications in engineering and biomedical fields. Education: Laurea cum Laude in Aerospace Engineering from Politecnico di Milano (2002), PhD in Applied Mathematics from EPFL (2005). Postdoctoral research at MIT (2006-2008), followed by roles at EPFL and SISSA. He has supervised over 30 PhD and Master’s students, with expertise in reduced order modeling and computational mechanics. Research Interests: Reduced basis methods, parametrized PDEs, fluid-structure interaction, cardiovascular simulations, environmental flows, machine learning integration, and industrial collaborations with companies like Danieli and Fincantieri. He coordinates EU projects such as the ERC Consolidator Grant AROMA-CFD (2016-2021) and the ITN ROMSOC project. Publications: Over 90 scientific papers, two books as editor, and contributions to open-source software like rbMIT and ITHACA-FV. Awards include the ECCOMAS Young Investigator Award (2014), SIAM Fellowship (2025), and the Gili Agonistelli Prize (2025). Grants and Projects: Principal Investigator of ERC AROMA-CFD and ARGOS PoC. Coordinates regional projects like UBE (Under Water Blue Efficiency) and TRIM. Engages in environmental modeling (e.g., SOPHYA, PRELICA) and industrial collaborations under MAR tc FVG. Labs/Teams: SISSA mathLab develops open-source tools for computational science, including ROM libraries and fluid dynamics solvers. Active in organizing workshops, serving on editorial boards (e.g., SIAM Journals), and advisory roles for agencies like ARPA FVG.

Günter Lastمشاهده پروفایل

استاد

• Stochastic Processes
• Stochastic Geometry
• Poisson Processes
• +۶ مورد دیگر

Prof. Dr. Günter Last is a Professor at the Institute of Stochastics within the Faculty of Mathematics at the Karlsruhe Institute of Technology (KIT) . He has held this position since 2000 (C4/W3 Professorship). Last's research focuses on stochastic processes , stochastic geometry , and their applications in mathematics, physics, and finance. Education: Diploma in Mathematics, Humboldt University Berlin (1984) PhD in Mathematics, Humboldt University Berlin (1987) Dr. Sc. in Mathematics, Technical University Braunschweig (1995) Research Interests: Last leads research in Poisson processes, Boolean models, Gibbs processes, and spatial random systems. His work explores Palm calculus, hyperuniformity, normal approximation, and percolation phenomena. He co-authored the textbook Lectures on the Poisson Process with Mathew Penrose. Publications & Trends: His recent work includes Normal approximation of Kabanov-Skorohod integrals , Hyperuniform stable matchings , and Poisson hulls , reflecting a focus on stochastic analysis and geometric probability. His research bridges theoretical insights with applications in digital microstructures and wireless network modeling. Scientific Leadership: Co-Editor for Electronic Journal of Probability (2018-2023) Speaker of DFG Research Unit Geometry and Physics of Spatial Random Systems (2011-2018) Associate Editor for Applied Probability Journals (2005-2019) Advising: Last has supervised 15 doctoral theses and numerous diploma/master's theses, including topics on neural networks, random tessellations, and stochastic financial models.

Bart van Steirteghemمشاهده پروفایل

استاد

• Algebraic Geometry
• Spherical Varieties
• Lie Theory
• +۳ مورد دیگر

Dr. Bart van Steirteghem is a mathematics professor at Friedrich Alexander University Erlangen Nuremberg (FAU), where he teaches analysis courses and body theory workshops for state examinations. His academic profile reflects deep expertise in advanced mathematical research with particular emphasis on geometric structures and algebraic methods. His research focuses on: Algebraic geometry with specialization in spherical varieties Lie group actions and representation theory Symplectic geometry and Hamiltonian systems Classification problems in algebraic geometry Geometric invariant theory Van Steirteghem's publication trajectory reveals sustained scholarly contribution since 2006, with recent work exploring multiplicity-free actions and quasi-Hamiltonian spaces. His research bridges multiple mathematical subdisciplines, connecting abstract algebraic structures with geometric interpretations. The consistent appearance of his work in prestigious journals like Transformation Groups and Journal of Lie Theory demonstrates recognition within the mathematical community. His collaborative research network spans international institutions, with frequent co-authorship with European and North American mathematicians. Teaching responsibilities include both lecture courses and specialized workshops for state examinations, reflecting his dual commitment to research and education. His work continues to advance fundamental understanding of geometric structures in mathematics.