جستجوی استاد راهنمای دانشگاهی

Prof. Jan Draisma is a Professor of Mathematics at the University of Bern, serving as Program Director for the MSc in Mathematics and a Member of the Institute Management at the Mathematisches Institut (MAI). His research focuses on algebraic geometry, tensor analysis, and their applications, with particular emphasis on polynomial representations, tensor rank, and geometric invariant theory. He has made significant contributions to understanding asymptotic tensor ranks, topological Noetherianity, and combinatorial algebraic structures. His work bridges pure mathematics with computational methods, often addressing foundational problems in algebra and geometry. Recent research trends include exploring singular loci in tensor varieties, the interplay between algebraic density properties and affine manifolds, and advancing techniques in polynomial functors. His articles highlight interdisciplinary approaches, combining geometric, combinatorial, and computational perspectives. Prof. Draisma’s interests span theoretical advancements and practical applications, such as genome reconstruction from biological data and the development of efficient algorithms for tensor analysis. His contributions reflect a commitment to advancing both fundamental mathematical theory and its real-world relevance.

• Algebraic Geometry
• Tensor Analysis
• Combinatorics
• +۳ مورد دیگر

Prof. Frank Kutzschebauch is a Professor at the Mathematical Institute (MAI) of the University of Bern. His research focuses on complex analysis, algebraic geometry, and holomorphic automorphisms, with a strong emphasis on the geometry of Stein manifolds, density properties, and equivariant Oka theory. He has contributed significantly to understanding group actions on complex manifolds and factorization methods in holomorphic settings. His work bridges geometric analysis, algebraic structures, and invariant theory, with applications to affine algebraic geometry and symplectic topology. Key research interests include the algebraic density property, holomorphic automorphism groups, and the linearization of group actions. He has pioneered studies on Danielewski surfaces and the Andersén-Lempert theory, advancing understanding of flexible varieties and infinite transitivity in affine geometry. His recent work explores applications of Oka principles to equivariant mappings and the interplay between complex geometry and real-analytic structures. Prof. Kutzschebauch is also involved in educational innovation, leading initiatives like the Online Self-Assessment system in mathematics at the University of Bern. His academic service includes roles in institute management and editorial work for mathematical journals.

• Complex Analysis
• Algebraic Geometry
• Holomorphic Automorphisms
• +۳ مورد دیگر

Özlem Imamoḡlu is a Professor in the Department of Mathematics at ETH Zurich. Her research focuses on Number Theory, Modular Forms, Automorphic Forms, and their interplay with Geometry and Topology. She teaches courses such as Complex Analysis, Algebra II, and Analysis I for Computer Science (INFK). University: ETH Zurich Email: ozlem.imamoglu@math.ethz.ch Her recent work explores topics like Hurwitz class number formulas, modular cocycles, and applications of automorphic forms to geometric invariants. Collaborations with prominent mathematicians (e.g., William Duke, Árpád Tóth) highlight her contributions to the field.

• Number Theory
• Modular Forms
• Automorphic Forms
• +۱۰ مورد دیگر

Özlem Imamoglu is an Adjunct Professor in the Department of Mathematics at ETH Zurich, a position she has held since 2005. Her academic journey includes prior appointments as Assistant Professor at ETH Zurich (2002-2005), Associate Professor at UC Santa Barbara (2003-2004), and Visiting Professor at Sabanci University (2000-2001). She teaches core undergraduate courses including Complex Analysis and Algebra II, with upcoming instruction scheduled through 2025. Her educational background features a B.S. in Electrical Engineering from Middle East Technical University (1987), followed by M.Sc. and Ph.D. in Mathematics from UC Santa Cruz (1992). Ph.D. Mathematics, UC Santa Cruz (1992) M.Sc. Mathematics, UC Santa Cruz B.S. Electrical Engineering, Middle East Technical University (1987) Professor Imamoglu's research centers on number theory with emphasis on modular forms , mock modular forms , and cycle integrals . She investigates connections between automorphic forms and geometric invariants, particularly through special values of modular functions on hyperbolic spaces and applications to real quadratic fields. Her work bridges analytic and algebraic number theory, often revealing deep relationships between L-functions and dynamical systems like Lyapunov exponents. Analysis of her 15 most recent publications reveals intensifying focus on hyperbolic 3-space geometry and modular function dynamics since 2018, with 6 publications in 2024 alone exploring twisted traces, Lyapunov exponents, and Kaneko's conjectures. Her research maintains strong connections to classical number theory through Hurwitz's method while incorporating modern geometric perspectives. As an active participant in the ETH Number Theory Seminar and co-organizer of the triannual Number Theory Days conference (EPFL/ETH/UniBasel), she provides students with collaborative research opportunities. Her international co-authorship network—including researchers from UCLA, Eötvös Loránd University, and University of Luxembourg—facilitates global academic exchange despite no formal lab structure. Professor Imamoglu remains a vital contributor to ETH Zurich's mathematics community through both her sustained research output and commitment to undergraduate education, with courses scheduled through 2025 demonstrating ongoing academic engagement.

• Number Theory
• Modular Forms
• Mock Modular Forms
• +۵ مورد دیگر