جستجوی استاد راهنمای دانشگاهی

Philippe Michelمشاهده پروفایل

استاد

• Analytic Number Theory
• Arithmetic Geometry
• Exponential Sums
• +۴ مورد دیگر

Prof. Philippe Michel is a Professor in the Mathematics Institute at the École Polytechnique Fédérale de Lausanne (EPFL), where he leads research in the Number Theory group (TAN). His office is located at MA C3 634, Station 8, 1015 Lausanne, Switzerland. Michel received his education at ENS Cachan and obtained his PhD from Université Paris XI in 1995 under the supervision of E. Fouvry. His academic career includes positions as maître de conférence at Université Paris XI (1995-1998), full professor at Université Montpellier II (until 2008), before joining EPFL. Prof. Michel's research spans across analytic number theory and related fields. His work integrates diverse mathematical techniques including arithmetic geometry, exponential sums, sieve methods, automorphic forms and representations, L-functions, and more recently, ergodic theory. His research has significant implications for understanding the distribution of prime numbers, properties of L-functions, and connections between number theory and other mathematical disciplines. Michel has made substantial contributions to the study of Kloosterman sums, trace functions, and the analytic properties of families of L-functions. Peccot-Vimont prize Member of the Institut Universitaire de France Invited speaker at the 2006 International Congress of Mathematicians Member of the Academia Europaea (Academy of Europe) since 2011 Fellow of the American Mathematical Society since 2012 Prof. Michel serves on the editorial boards of several prestigious mathematical journals including Archiv der Mathematik, Journal of Algebra and Number Theory, Journal of the European Math. Society, and Journal of Number Theory. His research has been consistently funded by major mathematical institutions, supporting his work on analytic number theory and its applications. At EPFL, Prof. Michel leads the Number Theory group (TAN) within the Mathematics Institute, fostering research collaborations and mentoring young mathematicians. His team focuses on cutting-edge problems in analytic number theory, connecting with broader mathematical fields and maintaining strong international collaborations.

Dimitar Jetchevمشاهده پروفایل

استاد

• Number Theory
• Arithmetic Geometry
• Mathematical Cryptology
• +۲ 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.

Özlem Imamoḡluمشاهده پروفایل

استاد

• Number Theory
• Modular Forms
• Automorphic Forms
• +۱۰ 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.

Sarah Zerbesمشاهده پروفایل

استاد

• Number Theory
• Algebraic Geometry
• Arithmetic Geometry
• +۳ مورد دیگر

Sarah Zerbes is a Professor at ETH Zürich, specializing in advanced mathematical research areas including number theory and algebraic geometry. Her work focuses on arithmetic properties of automorphic forms and L-functions, utilizing tools from p-adic cohomology and Iwasawa theory. As a leading academic in pure mathematics, she contributes to the development of modern arithmetic geometry through collaborative research and mentorship. Her current research explores connections between modular forms, Euler systems, and the arithmetic of Shimura varieties, advancing theoretical frameworks in algebraic number theory.

Petru Constantinescuمشاهده پروفایل

مدرس

• Analytic Number Theory
• Automorphic Forms
• Spectral Theory
• +۱ 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.

Balog Antalمشاهده پروفایل

استاد پژوهش

• Analytic Number Theory
• Distribution of Prime Numbers
• Sieve Methods
• +۳ مورد دیگر

Antal Balog serves as a Research Professor in the Number Theory department at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest. His academic work centers on foundational number theory with applications in combinatorial mathematics and prime distribution. His research spans critical areas including: Analytic Number Theory Distribution of Prime Numbers Sieve Methods Automorphic Functions Additive Combinatorics Sum-product estimates Professor Balog has received two major honors recognizing his contributions to mathematical sciences: Erdős Pál Prize (1993) from Magyar Tudományos Akadémia Rényi Prize (1991) from Alfréd Rényi Institute of Mathematics He currently leads research projects funded by grants for “Spectral methods on arithmetic manifolds” and “Additive Problems and Fourier Analysis”, while teaching specialized courses like “Analytic Number Theory” and “Additive Combinatorics” through the Budapest Semester in Mathematics program. His contact details include emails balog.antal@renyi.hu and balog@renyi.hu, with office phone (36-1) 483-8300 at the institute’s Budapest address (Reáltanoda u. 13-15).

Özlem Imamogluمشاهده پروفایل

استاد مدعو

• Number Theory
• Modular Forms
• Mock Modular Forms
• +۵ 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.