جست‌وجوی استاد و پژوهشگر

• Data Assimilation
• Particle Filters
• Oceanography
• +۳ مورد دیگر

Peter Jan Van Leeuwen is a Professor specializing in data assimilation methodologies with applications across geophysical sciences. His research develops advanced techniques for high-dimensional systems with particular emphasis on particle filtering approaches. His research innovations include: Development of implicit equal-weights particle filters for high-dimensional systems Nonlinear data assimilation frameworks using particle flow filters Ensemble methods for model error estimation Advanced Bayesian inference techniques for geophysical applications Novel approaches for causal discovery in complex systems Recent publications demonstrate wide applications from oceanography and atmospheric science to flood forecasting and astrophysics. His work consistently addresses fundamental challenges in high-dimensional uncertainty quantification and nonlinear system behavior. Research contributions include significant methodological advances in: Particle filter efficiency for ocean and atmospheric models Time-correlated model error estimation Riemannian data assimilation frameworks Causal inference in non-intervenable systems Preconditioning strategies for 4D-Var assimilation Dr. Van Leeuwen has collaborated extensively on projects including the SEASTAR satellite mission concept for ocean submesoscale dynamics and contributed to major data assimilation initiatives like MERCATOR and MERSEA.

• Geometric Analysis
• Riemannian Geometry
• Geometric Flows
• +۵ مورد دیگر

Giuseppe Pipoli is an Associate Professor in Geometry at the Department of Engineering and Information Science and Mathematics, University of L'Aquila, Italy. His research focuses on Geometric Analysis and Riemannian Geometry, particularly geometric flows (e.g., mean curvature flow, inverse mean curvature flow), hypersurfaces with prescribed curvature, and the geometry of submanifolds in hyperbolic and symmetric spaces. He earned his Ph.D. in 2014 from Sapienza University of Rome under Carlo Sinestrari, with a thesis on the mean curvature flow of pinched submanifolds. His work explores curvature flows in non-Euclidean settings, including complex and quaternionic hyperbolic spaces, and their asymptotic behaviors. Key research trends include: analysis of translators in geometric flows, classification of isoparametric hypersurfaces in product spaces, and stability properties of minimal hypersurfaces. His studies often reveal how ambient space geometry influences flow dynamics and curvature behavior. His articles address advanced topics like inverse mean curvature flow in non-compact symmetric spaces, invariant translators in sub-Riemannian geometries (e.g., Heisenberg group), and cylindrical estimates in CROSS spaces. These contributions advance understanding of geometric evolution equations and their singularities. Pipoli has held postdoctoral positions at the University of L'Aquila and Institut Fourier, Grenoble. His research also intersects with Riemannian submersions and applications of curvature flow to geometric classification problems.

• Differential Geometry
• Riemannian Geometry
• Partial Differential Equations
• +۳ مورد دیگر

Giovanni Catino is a Full Professor at the Dipartimento di Matematica of Politecnico di Milano. His research focuses on Differential and Riemannian Geometry, Partial Differential Equations, and Geometric Analysis. He has authored numerous papers on topics such as Einstein manifolds, Ricci solitons, geometric flows, and curvature rigidity. Catino has also co-authored several textbooks, including volumes on calculus and geometric analysis. His work frequently intersects with geometric variational problems, nonlinear PDEs, and the study of canonical metrics in Riemannian geometry. Recent research trends include investigations into Liouville-type theorems in sub-Riemannian settings, rigidity phenomena in geometric structures, and closure results in globally hyperbolic spacetimes. He actively participates in academic conferences and has organized events such as the 'Perspectives in Geometric Analysis' seminar series. Catino’s contributions span both pure mathematics and applications, with a strong emphasis on geometric PDEs and their implications in differential geometry.

• Geometric Analysis
• Sub-Riemannian Geometry
• Fractal Geometry
• +۴ مورد دیگر

Zoltan Balogh is a Full Professor at the University of Bern, specializing in geometric analysis with a focus on sub-Riemannian geometry, fractal geometry, and metric measure spaces. His work bridges analysis and geometry, particularly in non-Euclidean settings like Carnot groups and the Heisenberg group. He has organized conferences on nonlinear PDEs and geometric analysis, including events in 2026, 2024, and 2023. His research explores topics such as quasiconformal mappings, Sobolev spaces, and dimension distortion in fractals. Key research areas include: Sub-Riemannian geometry and its applications Fractal dimensions in non-Euclidean spaces Stepanov differentiability in metric measure spaces Self-similar sets in doubling spaces Recent conference participations: HAJŁASZ'60 (June 2026) Nonlinear PDEs in Salzburg (Oct 2024, Nov 2023)

Ari Laptevمشاهده پروفایل

استاد

• Spectral Theory
• Pseudodifferential Operators
• Schrödinger Operators
• +۵ مورد دیگر

Ari Laptev is a Professor of Pure Mathematics at Imperial College London since 2007 and Director of the Sirius Mathematical Centre in Sochi, Russia, since 2019. He previously served as Director of the Institut Mittag-Leffler (2011-2018) and held academic positions at KTH Stockholm and University of Linköping . Research Focus: Spectral theory of partial differential operators, Lieb-Thirring inequalities, Hardy inequalities, and mathematical physics. Scientific Leadership: President of the European Mathematical Society (2007-2010), Head of the Mathematics Department at Imperial (2008-2010), and Chairman of ERCOM (2015-2018). Recent research trends include non-selfadjoint operators, spectral bounds for Schrödinger-type operators, and Hardy/Sobolev inequalities in antisymmetric and magnetic contexts. His 2025–2022 publications emphasize eigenvalue estimates on Carnot groups, Riesz means, and toroidal/compact manifold geometries. Scientific Awards: Royal Society Wolfson Research Merit Award (2007) Member of the Royal Swedish Academy of Sciences (2012) Fellow of the European Academy of Sciences (2020)

Wolfram Bauerمشاهده پروفایل

استاد

• Analysis on Manifolds
• Operator Theory
• Operator Algebras
• +۳ مورد دیگر

Prof. Wolfram Bauer is a Professor in the Faculty of Mathematics and Physics at Leibniz University Hannover, affiliated with the Institute of Analysis. His research focuses on operator theory, subriemannian geometry, and spectral analysis, with notable contributions to Toeplitz operators, geometric analysis, and microlocal analysis. He co-edits the journal Applied Analysis and Optimization and actively organizes international workshops on global and microlocal analysis. His teaching encompasses advanced topics such as operator algebras, functional analysis, and subriemannian structures, reflecting his research expertise. Bauer has presented at numerous conferences, including the Microlocal and Global Analysis series in Potsdam and specialized workshops on Lie groups and geometric analysis. Key Research Areas: Analysis on manifolds, pseudodifferential operators, subriemannian geometry. Recent Workshops Organized: 2025: Microlocal and Global Analysis Workshop, Potsdam 2024: Modern Aspects of Analysis on Lie Groups, Göttingen

• Mathematical Analysis
• Harmonic Analysis
• Functional Analysis
• +۵ مورد دیگر

Federico Santagati is a fixed-term researcher at the Department of Mathematical Sciences "G.L. Lagrange" (DISMA), Politecnico di Torino, where he contributes to both teaching and research in mathematical analysis. He teaches core courses such as Mathematical Analysis I and Mathematical Analysis II across multiple engineering programs including Aerospace, Biomedical, and Civil Engineering. His research lies at the intersection of harmonic analysis, functional analysis, and differential geometry, with a particular focus on analysis on trees and related metric structures. He is an active member of the Functional Analysis and Differential Geometry (DISMA) research group. The recent publications of Federico Santagati (2024–2025) demonstrate a consistent and deep engagement with maximal operators, heat kernels, and Carleson measures in non-Euclidean settings such as homogeneous and locally finite trees, as well as Damek–Ricci spaces. These works are published in top-tier mathematical journals, indicating strong theoretical contributions to harmonic and geometric analysis. He has no listed scientific awards in the provided texts. Federico Santagati collaborates with prominent mathematicians including Stefano Meda, Matteo Levi, Anita Ottazzi, and Maria Vallarino. While no formal advisees are listed, his role as a course lecturer suggests involvement in mentoring undergraduate and possibly graduate students. There is no mention of research grants or specific labs, though his affiliation with the Functional Analysis and Differential Geometry group implies collaborative research activity.

Christophe Goléمشاهده پروفایل

استاد

• Dynamical Systems
• Mathematical Biology
• Symplectic Geometry
• +۵ مورد دیگر

Christophe Golé is a full-time Professor in the Department of Mathematical Sciences at Smith College . He has held academic positions at the University of Minnesota, ETH Zurich, SUNY Stony Brook, and the University of California, Santa Cruz. His research bridges Dynamical Systems and Mathematical Biology , with a focus on Phyllotaxis and Fibonacci Spirals in plant patterns. Golé co-founded the NSF-funded 4 College Biomath Consortium , which evolved into the Five College Biomathematical Sciences Certificate Program . He directed the Smith Geneva and Paris Junior Year Abroad programs in 2003-04 and 2014-15, respectively. Ph.D. , Boston University M.A. , University of California, Santa Cruz B.A. , Université Paris Golé's work on Phyllotaxis explores the mathematical underpinn'tion of Fibonacci spirals in plants and deviations from them. His earlier research in Hamiltonian Systems and Symplectic Twist Maps advanced understanding of periodic orbits and ghost tori. Articles span Mathematical Biology , Dynamical Systems , and Sub-Riemannian Geometry , with trends in Pattern Formation , Biological Modeling , and Hamiltonian Dynamics . Collaborations include the Smith Botanic Garden , where he co-created the exhibit Plant Spiral: Beauty You Can Count On . His courses include Introduction to Real Analysis , Topics in Continuous Applied Math: Dynamical Systems , and Topology . Golé is active in advising students through projects like zebrafish neurogenesis and crab-snail antagonism . He also participates in the Smith French and Spanish Tables and is involved in cross-disciplinary initiatives at the intersection of mathematics and biology.

Cyril Letrouitمشاهده پروفایل

پژوهشگر ارشد

• Geometry
• Partial Differential Equations
• Wave Propagation
• +۶ مورد دیگر

Cyril Letrouit is a Research Fellow at the CNRS (recruited in 2022) affiliated with the Orsay Mathematics Laboratory. He earned his PhD in 2021 under the supervision of Emmanuel Trélat and Yves Colin de Verdière at the École Normale Supérieure (ENS), followed by postdoctoral research at MIT (2022-2023). His work bridges geometry and partial differential equations to study physical properties, focusing on wave propagation and control in sub-Riemannian geometries, standing waves on manifolds and graphs, and analytical tools for artificial intelligence applications. His research intersects pure mathematics and applied fields, collaborating with institutions in France, Switzerland, Italy, Canada, and the U.S. He is currently delivering a lecture series at the Collège de France (2025) on Quantitative Stability of Optimal Transport , addressing sensitivity of transport maps to perturbations of target measures, with applications to machine learning. Academic Background : École Normale Supérieure (ENS), PhD in Mathematics (2021). Postdoctoral Experience : Massachusetts Institute of Technology (MIT), 2022-2023. Research Themes : Geometry's influence on physical properties, PDEs, wave dynamics, AI applications. Scientific Awards : Peccot course (Collège de France), 2024-2025.

• Manifold Mathematics
• Symplectic Manifold
• Diffeomorphism
• +۷ مورد دیگر

Stefan Haller is a Senior Lecturer at the Faculty of Mathematics , affiliated with the Institute of Mathematics . His research spans differential geometry, symplectic structures, and topological invariants, with a focus on coadjoint orbits, sub-Riemannian geometry, and analytic torsion. He leads projects such as Analytical torsion of (2,3,5) distributions (2025–2029) and Analytical torsion of filtered manifolds (2019–2023). Stefan’s work explores manifolds , diffeomorphism groups , and coadjoint orbits , with key contributions to sub-Riemannian geometry and symplectic fiber bundles. His recent publications highlight the interplay between geometric structures and spectral invariants, particularly in filtered manifolds and (2,3,5) distributions. The 15 most recent articles emphasize differential geometry , symplectic geometry , and topology , analyzing topics like BGG sequences, nonlinear flag manifolds, and analytic eigenbranches. These works reflect his dedication to understanding geometric and topological properties of manifolds through algebraic and spectral methods. Stefan actively participates in academic activities, including invited lectures on spectral invariants and sub-Riemannian geometry at international conferences (2025). His collaborations, such as with C. Vizman, underscore his role in advancing geometric analysis.

• Control Theory
• Sub-Riemannian Geometry
• Optimal Control
• +۳ مورد دیگر

Rachida EL ASSOUDI is a lecturer at the INSA Rouen Normandie , specializing in Mathematical Engineering . Her research focuses on control theory, geometric control, and sub-Riemannian geometry. Research Themes: Controllability and optimal control, integrability of geodesic equations, classification of nilpotent sub-Riemannian spaces. Teaching: Involved in the Génie Mathématique program (GM3, GM4, GM5). Administrative Roles: Member of CNU Section 26 since November 2019. LMI representative for INSA Euro-Mediterranée. Member of INSA Rouen’s Council of Studies and Quality Commission since 2014. LMI mediator at Doctoral School SPMII. Her publications highlight interdisciplinary work at the intersection of control theory, Lie algebras, dynamical systems, and chemical engineering. She collaborates with researchers such as W. Respondek and A. Maciejewski (Poland).

Platis Ioannisمشاهده پروفایل

استاد

• Geometric Analysis
• Hyperbolic Geometry
• Sub-Riemannian Geometry
• +۳ مورد دیگر

Professor Ioannis Platis is a faculty member at the Department of Mathematics, University of Patras, specializing in Pure Mathematics. He holds a Ph.D. from the University of Crete (1999), following B.Sc. (1988) and M.Sc. (1994) degrees from the Aristotle University of Thessaloniki and the University of Crete, respectively. His academic career includes roles at the University of Cyprus, University of Crete (from 2008 as Assistant, then Associate, and later full Professor until 2024), and his current position at the University of Patras since 2024. Research Interests: Geometric Analysis, Hyperbolic Geometry, Sub-Riemannian Geometry, Möbius Geometry, Quasiconformal Mappings in the Heisenberg Group, and Complex Hyperbolic Geometry. His work explores structures like the affine-additive group, Heisenberg geometry, and configuration spaces, with applications in geometric topology and analysis. Teaching: Currently teaches Complex Analysis, Geometry, and History of Mathematics. Past roles include courses at undergraduate and graduate levels across multiple institutions. Grants & Collaborations: Collaborations with researchers like Zoltan Balogh, Elisha Falbel, and John R. Parker. His research has been supported by Marie Curie Fellowships in the UK and Greece. Publications: Over 30 peer-reviewed articles, including works on geodesics in Kaehler cones, hyperbolicity in affine-additive groups, and quasiconformal mappings. Recent focus areas include modulus calculations, configuration spaces, and geometric deformations. Labs/Teams: Active in interdisciplinary research groups focusing on geometric analysis and complex hyperbolic structures. His work is disseminated through platforms like the Handbook of Teichmüller Theory and conferences in geometry and topology.

Achilles K. Tertikasمشاهده پروفایل

استاد

• Partial Differential Equations
• Functional Analysis
• Inequalities (Hardy, Sobolev)
• +۴ مورد دیگر

Achilles K. Tertikas is a Professor in the Department of Mathematics & Applied Mathematics at the University of Crete, where he has maintained an active teaching and research career spanning multiple decades. His professional activities are centered at the University Campus in Heraklion, Crete, where he maintains office E 306 and holds regular office hours on Tuesdays and Wednesdays. Professor Tertikas' research focuses on advanced mathematical analysis, particularly in the areas of partial differential equations, functional analysis, and various forms of inequalities including Hardy and Sobolev inequalities. His work demonstrates a consistent pattern of investigating optimal constants, boundary behaviors, and geometric properties in mathematical inequalities. Over his career, he has developed significant expertise in analyzing elliptic equations, spectral theory, and geometric aspects of functional inequalities. The trajectory of his publication record shows a sustained focus on improving and refining fundamental inequalities in mathematical analysis. His recent work (2023-2025) continues to push boundaries in understanding geometric Hardy inequalities on Heisenberg groups, Liouville properties for weighted anisotropic equations, and best constants for various inequality forms. A distinctive feature of his research is the consistent collaboration with leading mathematicians like Gerassimos Barbatis, Stathis Filippas, and Luisa Moschini across multiple publications. As an educator, Professor Tertikas has taught a comprehensive range of mathematics courses at the University of Crete including Plane and Space, Infinite Calculus, Partial Differential Equations, Analysis, Ordinary Differential Equations, Complex Analysis, and Set Theory across multiple academic years from 2010 through the upcoming 2024-2025 academic year. His teaching portfolio demonstrates expertise across both pure and applied mathematical disciplines, with particular emphasis on analysis and differential equations. Professor Tertikas maintains an active scholarly presence with ongoing research projects, recent publications, and current teaching responsibilities, indicating a vibrant and continuing academic career at the University of Crete.

Vyron Vellisمشاهده پروفایل

دانشیار

• Analysis
• Geometric Function Theory
• Geometric Measure Theory
• +۵ مورد دیگر

Vyron Vellis is an Associate Professor in the Department of Mathematics at the University of Tennessee, Knoxville (UTK), within the College of Arts and Sciences. He holds a Ph.D. from the University of Illinois at Urbana-Champaign and has held postdoctoral positions at the University of Jyväskylä, Finland, and the University of Connecticut. His research focuses on Analysis , Geometric Function Theory , Geometric Measure Theory , and Fractal Geometry . Education: Ph.D., Mathematics, University of Illinois at Urbana-Champaign (2009) M.S., Mathematics, University of Illinois at Urbana-Champaign (2008) B.S., Mathematics, Aristotle University of Thessaloniki, Greece (2006) Research interests span metric geometry, quasiconformal mappings, fractal structures, and geometric embeddings . His work often explores the interplay between analysis and topology in metric spaces. Recent publications highlight advancements in quasisymmetric geometry, Hölder parametrization, and bi-Lipschitz embeddings. No scientific awards are explicitly listed. No advising or grant information is available. His work contributes to foundational studies in geometric analysis and metric space theory.

Iakovos Androulidakisمشاهده پروفایل

دانشیار

• Noncommutative Geometry
• Singular Foliations
• Groupoids
• +۴ مورد دیگر

Iakovos Androulidakis is an Associate Professor of Mathematics at the Department of Mathematics, National and Kapodistrian University of Athens. His research focuses on singular foliations, noncommutative geometry, and groupoid structures, particularly their applications to topology, representation theory, and sub-Riemannian geometry. His work emphasizes understanding the topology of leaf spaces in singular foliations using operator algebras and noncommutative geometry techniques. Key contributions include studies on pseudodifferential calculi, holonomy groupoids, and the Baum-Connes conjecture for singular foliations. Recent publications explore maximally hypoelliptic operators, generalized smooth distributions, and integration of singular subalgebroids via diffeological groupoids. Research trends in his articles reflect a deep engagement with geometric analysis and algebraic structures, bridging differential geometry, operator theory, and representation theory. No scientific awards are explicitly listed in the provided materials. He advises no listed students in the text and has no recorded grants or labs mentioned. His academic profile is centered on theoretical contributions to geometric and algebraic frameworks for singular structures.