جستجوی استاد راهنمای دانشگاهی

Urs Langمشاهده پروفایل

استاد

• Differential Geometry
• Metric Geometry
• Geometric Measure Theory
• +۳ مورد دیگر

Urs Lang is a Full Professor at the Department of Mathematics, ETH Zurich, where he has held a professorship since 2001. His academic journey began with mathematics studies at the University of Berne and the University of Freiburg i.Br., culminating in a doctoral degree focused on hyperbolic geometry and minimal surfaces. Education: University of Berne (undergraduate) University of Freiburg i.Br. (doctoral degree) Lang's research lies at the intersection of differential geometry , metric geometry , and geometric group theory . His work explores non-positive curvature spaces, geometric measure theory, and large-scale Lipschitz analysis. Recent publications examine combinatorial hyperbolicity, isoperimetric inequalities, and rank-rigidity phenomena. The publications overview reveals a consistent focus on geometric structures, including: Higher-rank hyperbolicity in singular spaces Convex geodesic bicombings Injective hulls in geometric group theory Nonlinear potential theory on hyperbolic metric spaces Lipschitz extension problems Curvature comparison theorems Lang actively contributes to academic discourse through editorial roles at journals like Geometry and Topology and Analysis and Geometry in Metric Spaces , as well as organizing major conferences including the 2025 Metric Analysis Trimester Program at Bonn's Hausdorff Institute.

• 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.

Zoltán Baloghمشاهده پروفایل

استاد

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

Prof. Zoltán Balogh is a Professor at the Mathematical Institute (MAI) of the University of Bern, affiliated with the Faculty of Science. He serves as Program Director for the BSc in Mathematics and is a member of the Institute Management. His research focuses on geometric analysis, sub-Riemannian geometry, functional inequalities, and their applications to differential geometry and optimal transport theory. His work often involves the Heisenberg group and Carnot groups, exploring topics like isoperimetric inequalities, Sobolev inequalities, and curvature effects in non-Euclidean spaces. Key research themes include geometric measure theory, analysis on metric spaces, and the interplay between functional inequalities and geometric structures. Recent studies address sharp inequalities in spaces with nonnegative Ricci curvature, optimal transport theory, and properties of sub-Finsler distances. His contributions bridge pure mathematics with applications in geometric modeling and theoretical physics. Prof. Balogh's work has advanced understanding of fractal geometry in Carnot groups, projection theorems, and the behavior of quasiconformal mappings in non-smooth settings. His research also touches on geometric interpolation inequalities, contact structures, and the interplay between curvature and functional analytic properties of spaces.

• Neuroscience
• MRI
• Brain Imaging
• +۶ مورد دیگر

Benedetta Franceschiello is an Associate Professor at HES-SO Valais-Wallis, part of the School of Engineering (Haute Ecole d'Ingénierie) in Sion, Switzerland. She holds a position in the Department of Information Technology and Engineering, teaching linear algebra courses across multiple bachelor programs including Industrial Systems, Biomedical Engineering, and Environmental Engineering. Her research focuses on computational neuroscience, mathematical modeling of visual perception, and medical imaging techniques like MRI and EEG. Key interests include geometric optical illusions, neural dynamics, and the application of advanced mathematical methods to neuroimaging challenges. She has developed models linking cortical processes to perceptual phenomena, integrating psychophysics with computational neuroscience. Franceschiello's work addresses topics such as MRI signal reliability in brain network analysis, optimization techniques for medical image reconstruction (e.g., LASSO algorithms), and the use of machine learning for analyzing eye-tracking data in neurological disorders like spatial neglect. She has contributed to conferences including ISMRM, ARVO, and OHBM, and her research spans interdisciplinary areas combining mathematics, engineering, and neuroscience. Her recent studies emphasize the synergistic effects of physical stimulus properties in generating visual illusions and the development of automated 3D eye segmentation methods using MRI. Franceschiello's contributions bridge theoretical models with clinical applications, aiming to improve diagnostic tools and neuroimaging standards.