جست‌وجوی استاد و پژوهشگر

Alain Trouvéمشاهده پروفایل

استاد

• Shape Spaces and Applications
• Imaging Processing and Computational Vision
• Computational Biology
• +۳ مورد دیگر

Alain Trouvé is a Professor at the Center for Mathematics and Their Applications (CMLA) within the Ecole Normale Supérieure de Cachan , France. His research focuses on Shape Spaces , Computational Anatomy , Imaging Processing , and Biological Imaging , with applications in medical and computational fields. He directs the Mathematics Department at ENS Cachan and contributes to neuroanatomical studies through diffeomorphometry techniques. Key roles include membership in the Conseil National des Universités (Section 26) and teaching responsibilities such as courses on Geometry and Shape Spaces and Probability Theory . His work spans from theoretical frameworks (e.g., Hamiltonian modeling of shape evolution) to practical applications like 3D cell imaging and white matter fiber analysis. Publications emphasize interdisciplinary methods, including diffeomorphic registration, varifold-based image analysis, and stochastic shape evolutions. Current projects explore multi-scale modeling of biological systems and AI-driven medical diagnostics. Key Research Themes: Diffeomorphic mappings, computational vision, and functional shape analysis. Teaching: Courses on geometric modeling and probability at undergraduate and graduate levels. Tools Developed: xIV-LDDMM Toolkit for multi-modal biomedical data analysis.

Patricia Alonso Ruizمشاهده پروفایل

دانشیار

• Analysis
• Probability
• Fractal Geometry
• +۳ مورد دیگر

Patricia Alonso Ruiz is an Associate Professor in the Department of Mathematics at Texas A&M University (on leave AY24/25). She specializes in analyzing random phenomena in fractal-like environments, focusing on connections between analysis, probability, and geometry. Her research involves Dirichlet forms, heat kernels, and stochastic processes on fractals such as the Sierpinski gasket and diamond fractals. Her academic journey includes leadership in the TAMU Fractals Research Team, supported by an NSF grant. She has organized conferences like the BIRS Workshop on New Trends in Stochastic Analysis and the Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals. Her outreach efforts include the Kenya Workshop and educational programs like the Summer Educational Enrichment in Math. Key research areas include spectral theory of fractals, BV functions on metric measure spaces, and functional inequalities in fractal settings. Collaborations with researchers like Fabrice Baudoin and Alexander Teplyaev have yielded impactful work on heat kernel analysis and Besov spaces. She mentors undergraduate teams exploring spectral features of fractals, fostering the next generation of mathematicians. Publications span topics from nonlocal energies to Orlicz-Sobolev embeddings, reflecting her interdisciplinary approach bridging pure and applied mathematics. Her work highlights the interplay between fractal geometry and stochastic analysis, advancing understanding of complex systems in porous and non-smooth environments.

• Differential Geometry
• Exterior Differential Systems
• Integrable Systems
• +۷ مورد دیگر

Emilio Musso is a Full Professor in the Department of Mathematical Sciences "GL Lagrange" (DISMA) at Politecnico di Torino, Italy. His research spans differential geometry, exterior differential systems, integrable systems, and submanifold theory, with strong applications in geometric analysis and mathematical physics. Research Interests: Differential Geometry, Conformal Geometry, Lorentzian and CR Geometry, Integrable Systems, Elasticae, Variational Problems on Curves and Surfaces. Academic Leadership: Scientific Director of the PRIN projects (2013–2016, 2019–2022) and ReCoMa (2023–2025); Scientific Manager of the Erasmus+ ECCUM project (2015–2018). External Appointments: Full Professor at Turin Polytechnic University in Tashkent (2011–2021). His research focuses on the geometric properties of curves and surfaces under conformal and pseudohermitian structures, including null curves in anti-de Sitter space, elasticae in the hyperbolic plane and 2-sphere, and Legendrian curves in the 3-sphere. He frequently employs integrable systems techniques and exterior differential systems to analyze geometric evolution equations and variational problems. The recent publications reveal a consistent focus on conformal invariants, geometric flows, CR geometry, and the interplay between differential geometry and soliton theory. His work often involves collaboration with Lorenzo Nicolodi, Álvaro Pámpano, and Gary R. Jensen. Scientific Awards: IOP Select (2015) ANASSILAOS Award (2015) Professional Service: Member of the Italian Mathematical Union (2015–2021), Interuniversity Consortium for Higher Education in Mathematics (2021), and the F. Severi Institute of Higher Mathematics (1986–2021). Former editor-in-chief (2018–2021) and editorial board member (2015–2018) of Mathematical Seminar Reports . Active participant in scientific committees of international conferences in differential geometry. Teaching and Mentorship: Longstanding involvement in doctoral programs at the University of Turin, Politecnico di Torino, and the University of L’Aquila. He has taught courses such as Linear Algebra and Geometry and Differential and Computational Geometry, and served as a collaborator in the PhD course Fundamentals of Differential Geometry . Research Groups: Functional Analysis and Differential Geometry (DISMA), with active projects in harmonic analysis, discrete differential geometry, and submanifolds in Lorentzian conformal and Cauchy-Riemann geometries.

• Mathematical Analysis
• Partial Differential Equations
• Sub-Riemannian Geometry
• +۳ مورد دیگر

Annamaria Montanari is a Full Professor at the Department of Mathematics, University of Bologna, where she has worked since 2016. Her research focuses on Mathematical Analysis, particularly degenerate elliptic partial differential equations and Sub-Riemannian geometric structures. University of Bologna (1998-present) Ph.D. in Mathematics (University of Bologna, 1998) Visiting positions at Temple University, MSRI Berkeley, Pittsburgh University, ETH Zurich Her research explores: Regularity theory for Levi curvature equations Viscosity solutions in complex geometry Sub-Riemannian metrics and cut loci Optimal transport with non-quadratic costs Recent publications demonstrate expertise in: Geometric PDEs Convexity on Carnot groups Harnack inequalities in quasi-metric spaces Transport equations and conservation laws She supervises doctoral students and collaborates on international projects, serving as Editor-in-Chief of the Bruno Pini Mathematical Analysis Seminar journal.

• Sub-Riemannian Geometry
• Carnot Groups
• Geometric Measure Theory
• +۸ مورد دیگر

Enrico Le Donne is a Full Professor of Mathematics at the University of Fribourg, Switzerland. His research focuses on sub-Riemannian geometry, Carnot groups, and geometric measure theory. He has held positions at the University of Jyväskylä (Finland), University of Pisa (Italy), and others. Le Donne’s work bridges geometric analysis, metric geometry, and group theory, with applications to rectifiability and isometry studies. Education: BSc and MSc from Scuola Normale Superiore di Pisa and Yale University. PhD in Mathematics from Yale (2009), advised by Bruce Kleiner. Research Interests: Includes sub-Riemannian geometry, Carnot groups, geometric measure theory, and embedding problems. His articles explore topics like Carnot group structures, rectifiability, and geometric flows. Recent work addresses hypergenerated Carnot groups and sub-Finsler spheres. Recognition: ERC Starting Grant (2017) and Finnish Academy Research Fellowship (2015). He organizes international conferences and collaborates globally. Supervision: Advised PhD students including Valerio Gianella, Sebastiano Nicolussi Golo, and Eero Hakavuori. Hosted postdocs such as Francesca Tripaldi and Gabriel Pallier. Labs/Teams: Leads the ERC project GeoMeG (Geometry of Metric Groups) and co-organizes the Sub-Riemannian Geometry conferences.

• Differential Geometry
• Geometric Analysis
• CR Manifolds
• +۴ مورد دیگر

John M. Lee is a mathematician whose research focuses on differential geometry and geometric analysis, with significant contributions to CR manifolds, the Yamabe problem, Einstein metrics, and asymptotically hyperbolic manifolds. His work frequently appears in top-tier mathematics journals and involves collaborations with prominent researchers in the field. Research Interests: Lee's primary areas of investigation include geometric partial differential equations, conformal geometry, mathematical general relativity, and complex manifold theory. His research bridges pure differential geometry with applications in theoretical physics, particularly in the study of Einstein's field equations. Publication Trends: Lee's publications demonstrate a consistent focus on geometric structures with asymptotic behavior, boundary regularity problems, and the interplay between conformal geometry and Einstein metrics. Recent work emphasizes Sobolev-class asymptotics and constraint equations in general relativity. Collaborations: Frequent collaborators include Paul T. Allen, James Isenberg, Iva Stavrov Allen, C. Robin Graham, and David Jerison.

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

Asma Hassannezhad is an Associate Professor in Mathematics at the School of Mathematics, University of Bristol, UK. Her research focuses on spectral geometry, particularly the interplay between Steklov and Laplace eigenvalues and geometric invariants of Riemannian manifolds. She teaches courses such as Geometry of Manifolds and Introduction to Geometry at the university. Institution: University of Bristol School: School of Mathematics Department: Mathematics Academic Rank: Associate Professor Her research bridges abstract geometric analysis with concrete eigenvalue problems, including studies on Robin boundary conditions, mixed Steklov problems, and sub-Riemannian manifolds. She has contributed to understanding nodal domains, hidden symmetries, and inequalities like Cheeger and Kuttler-Sigillito in spectral contexts. Contact: asma.hassannezhad@bristol.ac.uk , Office G.18, Fry Building, Woodland Road, Bristol BS8 1UG, UK.

• Probability Theory
• Mathematical Physics
• Stochastic Analysis
• +۳ مورد دیگر

Pierre PERRUCHAUD is a Postdoctoral researcher at the Department of Mathematics within the Faculty of Science, Technology and Medicine (FSTM) at the University of Luxembourg. His research focuses on advanced topics in stochastic analysis, mathematical physics, and functional analysis. He is affiliated with the Maison du Nombre research unit located in Esch-sur-Alzette. His work explores complex systems such as hypoelliptic operators, stochastic processes in geometric settings, and homogenization theory. Key contributions include studies on non-de Finetti theorems, loop soup representations, and kinetic Dyson Brownian motion. His research bridges probability theory with applications in quantum field theory and statistical mechanics. Pierre's publications reflect a deep engagement with both theoretical and applied aspects of stochastic analysis, often involving interdisciplinary approaches combining geometry and probability. His current projects likely continue to advance understanding in anisotropic kinetic systems and asymptotic expansions for hypoelliptic equations. No scientific awards or grants are explicitly mentioned in the provided information. His advising record remains unspecified, though his postdoctoral role suggests active participation in academic mentorship.

Vasileios Chousionisمشاهده پروفایل

دانشیار

• Geometric Measure Theory
• Harmonic Analysis
• Dynamical Systems

Vasileios Chousionis serves as Associate Professor and Director of Graduate Studies in the Department of Mathematics at the University of Connecticut, with office MONT 329 and contact email vasileios.chousionis@uconn.edu. His research focuses on: Geometric Measure Theory: specializing in rectifiability and geometric lemmas within non-Euclidean geometries Harmonic Analysis: investigating singular integrals and metric measure spaces in sub-Riemannian contexts Dynamical Systems: analyzing fractal structures through Graph Directed Markov Systems and thermodynamic formalism His publication record from 2016-2022 reveals concentrated expertise in Heisenberg group geometry, with recurring themes of Lipschitz graphs, uniform measures, and dimension theory. Work consistently appears in top-tier journals including Journal fuer die reine und angewandte Mathematik and Advances in Mathematics, featuring collaborations with leading mathematicians like J.T. Tyson and M. Urbanski. No scientific awards were documented in source materials. As Director of Graduate Studies, he oversees academic programs though specific student advisees and grant funding details were not provided in available documentation.

• Differential Geometry
• Topology
• Sub-Riemannian Geometry
• +۳ مورد دیگر

Juan Francisco Torres Lopera is a Researcher affiliated with the Faculty of Mathematics and Department of Mathematics . He earned his doctorate from the University of Santiago de Compostela in 1982 with a thesis on plain semisimple homogeneous spaces, Grassmannian structures, and transversally Grassmannian foliations. His research spans Differential Geometry , Topology , and Sub-Riemannian Geometry , with a focus on Heisenberg groups, Cartan structures, and geometric transformations. His recent work examines Sub-Riemannian cut locus and Carnot Groups , while earlier studies include Non-Kähler Manifolds and Homogeneous Spaces . Collaborations include Ignacio Bajo, Alberto Martín Méndez, and Yusupdjan Khakimdjanov. Key trends in his publications include Geodesic Analysis , Conformal Transformations , and Manifold Cohomology . He has contributed to journals such as Transactions of the American Mathematical Society and ESAIM: Control, Optimization and Calculus of Variations .

• MRI
• Brain Imaging (EEG, MRI)
• Neuroscience
• +۴ مورد دیگر

Franceschiello Benedetta is an Associate Professor at HES-SO Valais-Wallis School of Engineering, specializing in Technical and IT disciplines. She holds a PhD in Mathematical Neuroscience from Université Pierre et Marie Curie (Paris). Her work bridges applied mathematics, computational neuroscience, and neuroimaging, with a focus on visual perception modeling, MRI techniques, and neural dynamics. Teaching: Linear Algebra courses across multiple engineering bachelor programs Expertise: Combines mathematical modeling with neuroscientific applications to study optical illusions, brain connectivity, and ophthalmic diagnostics Key Affiliations: ISMRM, Organization for Human Brain Mapping (OHBM), Association for Research in Vision and Ophthalmology (ARVO) Research Interests: Computational modeling of visual cortex mechanisms underlying geometric optical illusions Development of MRI-based methods for eye structure segmentation and axial length estimation Analysis of brain network reliability through standardized MRI protocols Optimization techniques for medical imaging reconstruction (e.g., weighted LASSO problems) Recent Work Trends: Focus on integrating psychophysical experiments with computational models to elucidate perceptual mechanisms, emphasizing synergistic interactions between physical stimulus parameters. Active in advancing MRI applications for both clinical diagnostics and fundamental neuroscience research.

Gareth Speightمشاهده پروفایل

دانشیار

• Geometric Measure Theory
• Analysis on Metric Spaces
• Subriemannian Geometry
• +۳ مورد دیگر

Gareth Speight is an Associate Professor in the Department of Mathematical Sciences at the University of Cincinnati. His research focuses on geometric measure theory, analysis on metric spaces, and sub-Riemannian geometry. He co-organizes the UC Analysis and PDE Seminar and the Ohio River Analysis Meeting. His work has been supported by grants from the National Science Foundation and the Simons Foundation. Speight holds a PhD from the University of Warwick (2013) and was a postdoctoral researcher at the Scuola Normale Superiore di Pisa (2013–2015). Education: PhD in Mathematics, University of Warwick, 2013 MMath (Master of Mathematics), University of Warwick, 2009 Research Interests: Speight’s work blends geometric analysis with metric space theory, particularly studying differentiability properties of Lipschitz functions, porosity, and universal differentiability sets in non-Euclidean settings like Carnot groups. His recent focus includes applications to fractional Poisson kernels and regularity theory for PDEs in metric spaces. Grants & Awards: NSF Grant #2348715 (2024–2027): $263,078 for 'Differentiability in Carnot Groups and Metric Measure Spaces' Simons Collaboration Grant #576219 (2018–2024): $50,400 for 'Geometry of Lipschitz Maps and Carnot Groups' 2013 Warwick Faculty of Science Doctoral Thesis Award Students & Service: Speight co-supervised Marco Capolli’s PhD (University of Trento, 2020) and is advisor to Hyogo Shibahara (PhD candidate at UC). He serves on editorial boards, conference organizing committees, and peer-review panels for journals like Journal de Mathématiques Pures et Appliquées and Annali di Matematica Pura ed Applicata .

• Optimal Transportation
• Mathematical Economics
• Mathematical Physics
• +۳ مورد دیگر

Brendan Pass is a Professor in the Department of Mathematical and Statistical Sciences at the University of Alberta. His research focuses on optimal transportation theory, with applications in mathematical economics, mathematical physics, and density functional theory. He is a core member of the Kantorovich Initiative, an interdisciplinary group dedicated to advancing optimal transport methodologies and their practical implementations. His work bridges pure mathematics with applied fields, addressing complex problems in multi-marginal transport, economic equilibrium modeling, and geometric analysis. Pass’s academic contributions span theoretical frameworks for optimal transport between spaces of differing dimensions, cyclic cost structures, and robust risk management. He explores intersections with diverse disciplines, including econometrics, financial mathematics, and geometric probability. His publications often address uniqueness conditions for Monge solutions, Wasserstein metrics, and barycenter problems in metric spaces. He has co-authored works on topics ranging from hedonic pricing models to vectorial martingale transport. Recent research trends include leveraging optimal transport for inequality measurement, robust optimization, and data denoising. His methodologies emphasize structural analysis and algorithmic design, with applications in crop root systems, quantum chemistry (via density functional theory), and option pricing. Pass frequently collaborates with institutions globally, contributing to both theoretical advancements and real-world problem-solving. Teaching responsibilities include advanced mathematics courses such as Math 156 (Calculus for Business/Economics) and Math 300 (Boundary Value Problems). His scholarly output includes over 50 peer-reviewed articles, conference contributions, and edited volumes. Current projects explore ODE characterizations of transport problems, distributional robustness, and partial identification in econometric models.

Armin Schikorraمشاهده پروفایل

دانشیار

• Analysis and Partial Differential Equations
• Nonlinear Partial Differential Equations
• Harmonic Analysis
• +۳ مورد دیگر

Armin Schikorra is an Associate Professor at the University of Pittsburgh's Department of Mathematics within the Dietrich School of Arts and Sciences. His research focuses on Analysis and Partial Differential Equations, with expertise in geometric calculus of variations, harmonic analysis, and quantitative topology. He holds a PhD from RWTH Aachen University and has held positions at institutions including the Max-Planck Institute and ETH Zürich. Education: PhD in Mathematics, RWTH Aachen University (2010) Habilitation in Mathematics, University of Freiburg (2016) Diplom in Mathematics, RWTH Aachen (2007) Research Interests: Nonlinear PDEs, harmonic analysis, geometric analysis, calculus of variations, and quantitative topology. His work explores regularity theory for harmonic maps and nonlocal equations, combining geometric and analytical techniques like commutator estimates and compensation effects. Awards & Grants: NSF Career Grant DMS-2044898 (2021–2026, $520,968) Alexander von Humboldt Fellowship (2023–2025) Humboldt Research Fellow Simons Foundation Grant (2018–2021) Advising & Grants: Mentored postdocs including Katarzyna Mazowiecka, James Scott, and Woongbae Park. Led projects on geometric analysis, VR visualizations of curvature flows, and Heisenberg group dynamics. Co-organized conferences such as the 2023 Marvellous Event on Geometric Analysis and the 2017 Summer School on Modern Knot Theory. Labs/Teams: Involved in undergraduate projects like VR visualizations of fractals and curvature flows. Collaborates on interdisciplinary efforts combining topology with analysis, such as the 'Stirring Coffee' application study.

David M.J. Calderbankمشاهده پروفایل

استاد

• Differential Geometry
• Geometric Analysis
• Kähler Geometry
• +۷ مورد دیگر

David M.J. Calderbank is a Professor in the Department of Mathematical Sciences at the University of Bath , England. He is actively engaged in research and teaching, offering advanced courses such as Projective Geometry, Differential and Geometric Analysis, and Group Theory. His research lies at the intersection of differential geometry, geometric analysis, and mathematical physics, with a particular focus on Kähler and Einstein metrics, integrable systems, and parabolic geometries. His work often explores the interplay between geometric structures and algebraic conditions such as stability. The recent publications highlight a sustained focus on extremal and Einstein metrics, c-projective and ambitoric geometry, and integrability in geometric contexts. His work frequently involves collaborations with prominent geometers such as Vestislav Apostolov, Paul Gauduchon, and Michael Singer. No scientific awards are mentioned in the provided materials. He advises no students listed in the provided texts. His research has been supported through standard academic channels, though specific grants are not detailed. He has collaborated extensively, notably with Tammo Diemer on conformal geometry and invariant operators. While no formal lab or research team is described, his collaborative publication record suggests an active research group or network in differential geometry at Bath.