Alexander Gorodnik is a Professor of Mathematics at the University of Zurich, focusing on the interplay between dynamical systems and number theory. His work bridges ergodic theory, homogeneous dynamics, and Diophantine approximation, with applications to arithmetic counting problems and geometric distribution of lattice orbits. Current lectures include MAT121: Analysis I and MAT221: Analysis III at the University of Zurich Co-author of the book The ergodic theory of lattice subgroups (Princeton University Press, 2010) Editor of the journal Ergodic Theory and Dynamical Systems His research explores Diophantine approximation through dynamical systems, investigating how orbits of group actions distribute in homogeneous spaces. Key topics include mixing properties , central limit theorems , and metric theorems for multiplicative approximation. Recent publications address automorphic density estimates , discrepancy in intrinsic Diophantine approximation , and effective equidistribution of translated measures. His work often employs tools from representation theory and spectral analysis . Current working group members include Zhiyuan Deng , Zouhair Ouaggag , and Yuval Yifrach . He has taught courses at institutions in Zurich, Bristol, Princeton, and Mumbai, with lecture materials covering topics from ergodic theorems to Každan's property (T) .
Prof. Dr. Philipp Habegger is a faculty member at the University of Basel's Department of Mathematics and Computer Science . His research focuses on Number Theory , specifically Diophantine Geometry, heights on abelian varieties, unlikely intersections, and algebraic number theory. He leads the Research Group in Number Theory and participates in collaborative seminars like the Number Theory Web Seminar with Mike Bennett and Alina Ostafe. Contact : philipp.habegger@unibas.ch | +41 61 207 26 98 Office : Spiegelgasse 1, 4051 Basel, Switzerland Academic Role : Research and teaching in number theory and Diophantine problems Research Overview Habegger's work addresses fundamental questions about the distribution of special points on algebraic varieties and the arithmetic properties of polynomial dynamics. His recent publications analyze degeneracy loci in abelian families, canonical heights, and the geometric Bogomolov conjecture. The 15 most recent articles reflect a focus on number theory, algebraic geometry, and effective bounds in Diophantine problems. Scientific Collaborations Collaborated with Ziyang Gao, Harry Schmidt, Umberto Zannier, and others Contributed to journals: Annals of Mathematics , Forum of Mathematics, Sigma , Compositio Mathematica Key themes: Abelian varieties , Heights , Unlikely intersections , CM jacobians
Joachim Rosenthal is a Professor of Applied Mathematics at the University of Zurich's Department of Mathematics, leading the Applied Algebra Group. His research integrates coding theory, cryptography, and algebraic geometry with applications in communications and security systems. His primary research explores algebraic coding theory including convolutional codes, subspace codes, and post-quantum cryptography. He develops algorithms for error correction, code optimization, and cryptographic protocol analysis, with emphasis on mathematical structures in finite fields and rings. Professor Rosenthal serves as President of the Swiss Mathematical Society (2024-2025) and sits on IEEE Information Theory Society's Board of Governors. He has organized multiple international conferences on coding theory and cryptography, including the Zurich COST Meeting and Workshop on Convolutional Codes. His editorial contributions include roles at Archiv der Mathematik and SIAM Journal on Applied Algebra and Geometry. Recent publications focus on code construction methods, complexity analysis in group-based cryptography, and algebraic approaches to error-correcting codes.
Manfred Einsiedler is a Professor in the Department of Mathematics at ETH Zurich, Switzerland, with office HG G 64.2 at Rämistrasse 101, 8092 Zurich. He teaches undergraduate and graduate courses including Linear Algebra (HS 2019), Analysis I/II, and Functional Analysis I/II, using his co-authored textbook Functional Analysis, Spectral Theory, and Applications . His research centers on dynamical and equidistribution problems in homogeneous spaces, with focus on closed horocycle orbits, geodesic orbits on the modular surface, and measure rigidity. Key contributions include work on effective equidistribution, entropy methods, and connections between ergodic theory and number theory. He has co-authored foundational texts: Ergodic Theory with a view towards Number Theory and Functional Analysis, Spectral Theory, and Applications in Springer's Graduate Texts in Mathematics series, alongside multiple in-progress volumes on entropy, homogeneous dynamics, and unitary representations. Recent publications explore integer points on spheres, rigidity of invariant measures, and Diophantine approximation on fractals, emphasizing collaborations with Lindenstrauss, Ward, Margulis, and Venkatesh. His work demonstrates consistent focus on homogeneous dynamics with applications to arithmetic problems, particularly through effective methods and measure classification theorems. While no specific awards or student lists are documented in the source, his extensive publication record and textbook authorship establish significant scholarly impact.
Swiss Federal Institute of Technology in LausanneSwitzerland
Zsolt Patakfalvi is an Associate Professor at École Polytechnique Fédérale de Lausanne (EPFL), holding positions in the School of Basic Sciences (SB) within the Department of Mathematics (MATH). He is affiliated with the Chair of Algebraic Geometry (CAG) and the Section of Mathematics for Engineers (SMA-ENS). Additionally, he serves as Director of SMA-GE and holds roles in academic governance bodies like the Conference of Section Directors (CDS) and SB Faculty Management. His research focuses on Algebraic Geometry, particularly in birational geometry, positive characteristic methods, moduli theory, and mixed characteristic algebra. He explores topics such as Hodge theory, singularities, and applications to arithmetic geometry. Notable contributions include work on the minimal model program, test ideals, and counterexamples to classical conjectures in positive characteristics. He supervises doctoral students in areas like algebraic geometry and commutative algebra, including Jefferson Baudin, Léo Navarro Chafloque, and Linus Rösler. His past advisees include Emelie Arvidsson and Quentin Posva. Patakfalvi’s publications frequently address foundational questions in geometry, with recent work extending into perfectoid spaces and globally-regular varieties. He coordinates courses such as 'Algebra III - Rings and Fields' and 'Perfectoid spaces' at EPFL, reflecting his commitment to both research and education. His academic service includes managing educational programs within SB-SMA and contributing to institutional decision-making through CDS membership.
Swiss Federal Institute of Technology in LausanneSwitzerland
Eva Bayer Fluckiger is an Honorary Professor at the School of Basic Sciences (SB) at EPFL, Lausanne. She holds a position in the Mathematics Section (SB-DEC) and is affiliated with the Department of Mathematics. Her academic career includes a Doctorate from the University of Geneva (1978) under Michel Kervaire, postdoctoral work in Germany, France, and the U.S., and a CNRS position (1987–2001). She became a full professor at EPFL in 2001. Her research focuses on algebraic number theory, Galois cohomology, quadratic and Hermitian forms, knot theory, and applications to algebraic codes. She has held visiting positions at prestigious institutions like IAS Princeton and has been actively involved in editorial roles and international committees. Her awards include the Vacheron Constantin Prize (1983) and the Maria Sybilla Merian Prize (2001). She has advised numerous PhD students and contributed over 150 publications, with recent work emphasizing K3 surfaces, lattice theory, and algebraic geometry. She is an editor of five international journals and has held leadership roles in mathematical societies, including the European Mathematical Society.
Swiss Federal Institute of Technology in LausanneSwitzerland
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.
Swiss Federal Institute of Technology in LausanneSwitzerland
Mika Göös is a Tenure Track Assistant Professor at EPFL in the School of Computer and Communication Sciences, Department of Computer Science. Previously, he held postdoctoral positions at Stanford, Princeton IAS, and Harvard. He earned his PhD from the University of Toronto under Toniann Pitassi, an MSc from the University of Oxford, and a BSc from Aalto University. Education PhD: University of Toronto MSc: University of Oxford BSc: Aalto University His research focuses on computational and communication complexity, exploring fundamental limits of algorithms and their applications in cryptography, circuit design, and distributed computing. He co-developed lifting theorems connecting query complexity to communication complexity and investigates lower bounds in randomized algorithms, TFNP problems, and monotone circuits. Recent work emphasizes quantum communication advantages, direct sum theorems, and hardness condensation. His 15 most recent publications span topics like k-Hamming distance, parity decision trees, depth-3 circuits, and separations in TFNP classes. Scientific awards include the Machtey Award (2015), Best Paper at DISC (2012), EATCS Distinguished Dissertation Award (2017), and Best Paper at FOCS (2020). He has advised numerous PhD and MSc students, including Weiqiang Yuan, Ziyi Guan, and Alexandros Hollender. Currently, he leads a team comprising PhD students (Guan, Imbach, Riazanov, Sofronova, Yuan), postdocs (Nathaniel Harms), and scientists (Dmitry Sokolov). His work has appeared in top venues like STOC, FOCS, CCC, and ITCS, often with recorded talks and published in journals such as JACM and SICOMP.
Grigory Mikhalkin is a Full Professor at the University of Geneva, where he has been a faculty member since 2008. He is considered one of the founders of Tropical Geometry, a domain of algebraic geometry governed by (max,+)-calculus where geometric objects degenerate to their piecewise-linear limits. He leads the "ALGEBRA AND GEOMETRY" research group at the university. Mikhalkin studied at Leningrad and Michigan State University under the supervision of Oleg Viro and Selman Akbulut. After receiving his PhD in 1993, he completed postdoctoral training at Princeton, Bonn, Toronto, Berkeley, and Harvard (1993-2000). He served as associate and then full Professor at the University of Utah before moving to the University of Toronto, eventually joining the University of Geneva in 2008. Mikhalkin's primary research areas are Geometry and Topology, with a particular focus on Tropical Geometry. His work bridges algebraic geometry with combinatorial structures, exploring how complex geometric objects can be understood through their piecewise-linear tropical counterparts. This approach has proven fruitful in solving problems in enumerative geometry and has connections to mathematical physics through the study of sandpile models and self-organized criticality. His research group actively explores the connections between tropical geometry, symplectic geometry, and real algebraic geometry, organizing regular seminars including the "Séminaire Fables Géométriques." The recent publications of Professor Mikhalkin demonstrate a strong focus on the intersection of tropical geometry with sandpile models and self-organized criticality. His work has evolved to examine tropical aspects of number theory, lattice sums, and even applications to economics through auction theory. A significant portion of his recent research explores the patterns and structures that emerge in sandpile models across various lattices and dimensions, connecting discrete mathematics with continuum limits through tropical techniques. Prize of the St. Petersburg Mathematical Society (1999) Silver Medal of the Mexican Mathematical Society (2011) Canada Research Chair (2004-2009) Friedrich-Wilhelm-Bessel Research Award of the Alexander-von-Humboldt Foundation (2007-2008) European Research Council Advanced Grant (2010-2015) Chair of Fondation Sciences Mathématiques de Paris (2013-2015) Mikhalkin has successfully advised several PhD students to completion, including Kristin Shaw (2011), Lionel Lang (2014), Nikita Kalinin (2015), Mikhail Shkolnikov (2017), and Johannes Josi (2018). His research has been supported by prestigious grants including the ERC Advanced Grant and the Canada Research Chair. He presented his work at the Bourbaki seminar in 2003 and was selected as a Geometry speaker at the International Congress of Mathematicians in 2006, highlighting the significance of his contributions to the field. Professor Mikhalkin leads the "ALGEBRA AND GEOMETRY" research group at the University of Geneva, which includes current members Thomas Blomme, Francesca Carocci, Aloïs Demory, Gurvan Mével, and Antoine Toussaint. The group has a strong track record of postdoctoral fellows and alumni, including notable researchers such as Ivan Bazhov, Johan Bjorklund, Rémi Crétois, and others. They organize several seminars including the "Séminaire Fables Géométriques" and have historical connections to the Battelle Seminar and Tropical working group Seminar.
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.
Swiss Federal Institute of Technology in LausanneSwitzerland
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.
Swiss Federal Institute of Technology in LausanneSwitzerland
Sebastian Schlegel Mejia is a Lecturer at the School of Basic Sciences (SB) of École Polytechnique Fédérale de Lausanne (EPFL), affiliated with the Department of Mathematics. He teaches courses on algebraic geometry, including "Algebraic Geometry III - Selected Topics" (MATH-535), and contributes to research via his role at the Chair of Arithmetic Geometry (ARG). Research Interests His research focuses on algebraic geometry, category theory, and mathematical physics. He explores connections between BPS algebras, generalized Kac-Moody algebras, and 2-Calabi-Yau categories, alongside applications in nonabelian Hodge theory, moduli spaces of Higgs bundles, and stacks. His work bridges theoretical mathematics with quantum field theory. Publications Trends Recent articles emphasize BPS algebras, cohomology in Calabi-Yau categories, and their implications for nonabelian Hodge theory and moduli spaces. Key themes include the interplay between algebraic structures, geometric frameworks, and mathematical physics. Contact Email: sebastian.schlegelmejia@epfl.ch | Office: MA B3 494
University of Applied Sciences and Arts LucerneSwitzerland
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.
Swiss Federal Institute of Technology in LausanneSwitzerland
Ethan Monaghan Ackelsberg is a postdoctoral researcher at the Institute of Mathematics, École Polytechnique Fédérale de Lausanne (EPFL), affiliated with the School of Basic Sciences (SB) and the Ergodic Theory group (ERG). He also holds a lecturing position in the SMA-ENS program within the SB-SMA department at EPFL, focusing on teaching mathematics. His research bridges ergodic theory, Ramsey theory, and combinatorial number theory, with a focus on recurrence properties and polynomial configurations. Education: PhD in Mathematics from Ohio State University (2022), MS in Mathematics (2019), BA in Mathematics and Physics from Bard College at Simon's Rock (2016). Ethan's research explores measure-preserving actions of abelian groups, polynomial patterns in large subsets, and connections to number theory. His recent work includes advancements in equidistribution in nilpotent groups and counterexamples to Erdős-type problems. He has received academic honors including summa cum laude at Bard College and highest honors from Budapest Semesters in Mathematics. Ethan actively contributes to teaching, including courses on measure theory.
Peter Feller is a Full Professor at the Institute of Mathematics, University of Neuchâtel (UniNE) since 2025. Previously, he was an Assistant Professor (2019-2025) and postdoc at ETH Zurich's Geometry, Groups and Dynamics group. Earlier positions include postdoctoral fellowships at Max Planck Institute for Mathematics (Bonn), Boston College, and University of Bern (PhD). His research spans geometry and topology with emphasis on low-dimensional topology, knot theory, 3-manifolds, algebraic geometry connections, and Heegaard-Floer theory. 2010-2014: Doctorate in Mathematics, University of Bern 2008-2010: MSc in Mathematics, University of Bern 2005-2008: BSc in Mathematics, University of Bern Research interests focus on knot concordance , hyperbolizability , mapping class groups , and algebraic embeddings of complex varieties. Publications reveal trends in geometric topology, braid theory, and connections to algebraic geometry through plane curve singularities. His work on the Dehn twist coefficient characterizes irrational rotation behavior in infinite-type surfaces. Current collaborators include PhD student Léo Mousseau and postdoc Miguel Orbegozo Rodriguez. He organizes the biannual Swiss Knots conference on low-dimensional topology and contributes to seminars like the Algebra and Geometry Seminar at UniNE. Research grants acknowledge support from the Simons Foundation.
