جستجوی استاد راهنمای دانشگاهی

Alessandra Iozzi is a Professor in the Department of Mathematics at ETH Zurich, where she has been an active faculty member for many years. Her office is located in HG G 37.4 at ETH Zentrum, and she maintains a strong research and teaching presence at one of the world's leading technical universities. She regularly organizes academic activities including workshops, seminars, and conferences related to her research interests. Professor Iozzi's research focuses on bounded cohomology, Lie groups, symmetric spaces, geometric group theory, Teichmüller theory, and representation theory . Her work often involves deep connections between geometric structures and algebraic representations, with significant contributions to understanding rigidity phenomena in mathematics. She has developed important results in the theory of maximal representations and their geometric interpretations, particularly in relation to Hermitian symmetric spaces. Her recent publications demonstrate a strong focus on character varieties, compactifications, and the geometric structures underlying representation theory. The trend in her work shows increasing sophistication in connecting bounded cohomology with geometric structures, particularly through the study of maximal representations, geodesic currents, and their compactifications. Her research has evolved from foundational work in bounded cohomology to sophisticated applications in geometric group theory and higher Teichmüller theory. Professor Iozzi has been actively involved in organizing numerous academic activities including the Geometry Seminar at ETHZ, the "goMATH, Frauen machen Mathematik" initiative, and various international workshops on geometric group theory, Teichmüller theory, and related topics. She has collaborated extensively with leading mathematicians including Marc Burger, Anna Wienhard, and Nicolas Monod, among others.

• Bounded cohomology
• Lie groups
• Symmetric spaces
• +۵ مورد دیگر

Michelle Bucher is a Senior Lecturer (Maître d'Enseignement et de Recherche) at the University of Geneva , within the Section of Mathematics of the Faculty of Science. She has been based in Geneva since 2011, initially serving as an SNSF professor before transitioning to her current role. Education: Ph.D. in Mathematics from ETH Zurich , with thesis titled "Characteristic classes and bounded cohomology" under advisor Marc Burger. Diploma in Mathematics from University of Geneva , with thesis titled "Croissance de groupes et produits libres avec amalgamation" under advisor Pierre de la Harpe. Research Interests: Her research lies at the intersection of geometry and topology , with a particular emphasis on non-positively curved manifolds . She explores simplicial volume , bounded cohomology , characteristic classes , and volume rigidity . Her work often involves deep connections between geometric structures and algebraic invariants, including applications to hyperbolic geometry , Coxeter groups , and 3-manifolds . Publications and Research Trends: Her recent publications focus on advanced topics such as Furstenberg boundaries , measurable cohomology , and integrality of volumes in complex hyperbolic settings. There is a clear trend toward understanding geometric invariants through the lens of bounded cohomology and representation theory, particularly in the context of discrete groups and symmetric spaces. Teaching and Supervision: She teaches a wide range of courses, from basic algebra and geometry to advanced topics such as Coxeter groups , hyperbolic geometry , and p-adic numbers . Her current Ph.D. student is Sofia Amontova , and she has previously supervised Caterina Campagnolo and Hester Pieters . She has also mentored postdocs including Alessio Savini , Christoforos Neofytidis , and Alexey Talambutsa . Research Group: She leads the Algebra and Geometry research group, which includes doctoral students and postdoctoral researchers working on cutting-edge problems in geometry, topology, and group theory.

• Geometry
• Topology
• Group Theory
• +۷ مورد دیگر

Dimitar Jetchev is a Swiss National Science Foundation Professor in number theory, arithmetic algebraic geometry, and mathematical cryptology at the School of Basic Sciences, EPFL. He leads the GR-JET research group and holds positions in the Mathematics Section (TAN) and SMA-GE unit. University of California at Berkeley, Ph.D. in Mathematics (2008) Harvard University, B.A. in Mathematics (2004) Jetchev's research spans number theory and cryptography, focusing on elliptic curves, Selmer groups, Euler systems, Heegner points, and complexity analysis of cryptologic algorithms. His work bridges pure mathematics and cryptographic applications like ECC and symmetric key protocols. His recent publications analyze isogeny graphs of abelian varieties, discrete logarithm problems in genus 2, equidistribution phenomena, and Euler systems. These works explore connections between automorphic representations, unitary groups, and cryptologic algorithms. Swiss National Science Foundation Professor Jetchev has advised PhD students including Boumasmoud Mohamed Réda, Dudeanu Alina, and Vuille Marius Lorenz. His research group GR-JET collaborates with institutions like IHES and EPFL's LACAL lab. He works on unitary Shimura varieties, special cycles, and their applications to Iwasawa theory and the Bloch-Kato conjecture. The GR-JET group investigates isogeny-based cryptosystems and algorithmic improvements in discrete logarithm computations.

• Number Theory
• Arithmetic Geometry
• Mathematical Cryptology
• +۲ مورد دیگر

Peter Scheiblechner is a Lecturer at Lucerne University of Applied Sciences and Arts' School of Engineering and Architecture, within the Department of Natural and Humanities Sciences (ING). He holds a PhD in Mathematics from the University of Paderborn (2007) and has held academic positions including Visiting Assistant Professor at Purdue University (2010-2011) and Postdoc at the Hausdorff Center for Mathematics (2011-2012). His business experience includes software development roles at companies like ClassWare GmbH and UBS in Switzerland. Education: PhD in Mathematics, University of Paderborn (2007) Master's in Mathematics (minor: Physics), Albert-Ludwigs University Freiburg (1997) Bachelor's in Mathematics (minor: Physics), Philipps-University Marburg (1993) High School Diploma, Martin-Luther-Schule Marburg (1991) Research Interests: Focus on applying statistics, data analysis, and machine learning to real-world problems; computational algebra/geometry/topology with complexity theory; algebraic and classical complexity theory. Active in projects like ENFLATE (flexibility markets), COSMOS Data Cockpit (personalized medicine), and topological data analysis. Publications: Over 10 peer-reviewed articles in journals like Journal of Symbolic Computation , Foundations of Computational Mathematics , and Communications in Contemporary Mathematics , with focuses on algorithmic algebraic geometry, complexity analysis, and topological computations. Awards: DFG fellowship (2008-2010), 3rd place in German Mathematics Competition (1991), and regional championship in Hessen (1985/86). Teaching: Teaches mathematics, physics, statistics, and numerical methods at bachelor and master levels, including courses on differential equations, linear algebra, stochastic processes, and engineering applications.

• Statistics
• Data Analysis
• Machine Learning
• +۵ مورد دیگر

Alessandro Sisto is an Associate Professor at Heriot-Watt University, specializing in Geometric Group Theory with a focus on generalizations of hyperbolic groups. He leads research in the GGT (Geometric Group Theory) group at Heriot-Watt and advises PhD students including current student Giorgio Mangioni and former students Stefanie Zbinden, Antoine Goldsborough, and Davide Spriano. His work intersects geometric topology, low-dimensional topology, and hyperbolic geometry. Sisto maintains an active blog and collaborates internationally on projects such as the Centre for Doctoral Training in Algebra, Geometry, and Quantum Fields. Education: Completed his PhD at the University of Oxford under the supervision of Cornelia Druțu. Research interests span hierarchical hyperbolicity, coarse median structures, and the interplay between group theory and geometric spaces. His recent articles explore topics like bounded cohomology, asymptotically CAT(0) metrics, and cohomological characterizations of hyperbolicity. Sisto's contributions often blend algebraic, geometric, and probabilistic methods to advance foundational questions in geometric group theory. Labs/Teams: Active member of the GGT group at Heriot-Watt. Collaborations include projects on mapping class groups, Artin groups, and hyperbolic 3-manifolds.

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

Nicolas Monod is a Full Professor at the École Polytechnique Fédérale de Lausanne (EPFL) in the School of Basic Sciences (SB), holding the Chair of Ergodic and Geometric Group Theory. He is also affiliated with the Department of Mathematics (MATH) and teaches in the SMA and EDMA programs. His research focuses on geometric group theory, bounded cohomology, topological groups, and ergodic theory, with notable contributions to understanding non-positively curved spaces and group rigidity. Monod earned his PhD in Mathematics from ETH Zurich (2001), awarded the ETH Medal and Prize. He previously held positions at the University of Chicago as Dickson Instructor and Assistant Professor, and served as Director of the Bernoulli Center at EPFL. His awards include the Berwick Prize (2015), Gauss Lectureship (2016), and an ERC Advanced Grant. He has supervised numerous PhD students, including Viola Federico and Zhao Cunyuan. Awards: Gauss Lectureship, Berwick Prize, AMS Fellow, ERC Advanced Grant Grants: Multiple Swiss National Science Foundation (SNSF) grants, NSF funding His research explores foundational questions in group theory and geometry, with a focus on cohomological methods, amenability, and the structure of locally compact groups. He co-authored over 80 publications and has been an invited speaker at numerous international conferences.

• Geometric Group Theory
• Bounded Cohomology
• Ergodic Theory
• +۵ مورد دیگر

Petru Constantinescu is a Scientist at the Chair of Analytic Number Theory (TAN) and Lecturer in the Mathematics Teaching Section (SMA-ENS) within the School of Basic Sciences at the Swiss Federal Institute of Technology Lausanne (EPFL). He joined EPFL in August 2022 as a postdoctoral researcher under Philippe Michel after earlier postdoctoral work at the Max Planck Institute for Mathematics in Bonn. He holds a PhD from the London School of Geometry and Number Theory (UCL), supervised by Yiannis Petridis, and previously studied at the University of Cambridge and Imperial College London. His research specializes in Analytic Number Theory, Automorphic Forms, Spectral Theory, and Additive Combinatorics. Recent work explores distribution properties of modular symbols, dissipation of correlations in automorphic forms, and non-vanishing periods, with applications in geometric and spectral analysis. At EPFL, he teaches analytic number theory courses and supervises student projects. Key supervisory roles include: Othmane Rih: 'L-functions and Quantum Unique Ergodicity' Matthew Dupraz: 'Analytic properties of Hecke L-functions' Kevin Rizk: Master's thesis on Bhargava's proof Alec Schmutz: 'Bounded gaps between primes' He actively organizes academic events, including the 2023 ArStAFANT conference at EPFL and YoBo conference at MPIM Bonn, and founded the Informal Number Theory Seminar.

• Analytic Number Theory
• Automorphic Forms
• Spectral Theory
• +۱ مورد دیگر