Thomas Georges Pierre VidickTeaching & PhD PhD Students Itammar Steinberg, Aviv Taller Courses Formal Mathematics with Lean and AI CS-643 This graduate course provides an introduction to using Lean proof assistant to formalize mathematical definitions and theorems. We will have lectures on foundations (formal proofs, dependent type theory), learn about practice (proof tactics, use of AI, etc) and work on a formalization project. Introduction to quantum computation CS-308 The course introduces the para
Stefano Francesco BurzioExpertise
Analysis and modeling of nonlinear phenomena occurring in mathematical physics. Hyperbolic partial differential equations. Finite element method.
Education Mathematics | Mathematics 2015 – 2020 EPFL Directed by Joachim Krieger MAS / Diplôme d'enseignement pour le degré secondaire 2 | Pedagogy 2019 – 2020 HEP Vaud Master of Science | Mathematics 2011 – 2014 University of Turin Directed by Susanna
Jérôme SchererTeaching & PhD PhD Students Virgile Simon Constantin Past EPFL PhD Students Samuel Lavenir Past EPFL PhD Students as codirector Kay Remo Werndli, Lyne Moser Courses Topology IV.a - Cohomology rings MATH-506 Singular cohomology is defined by dualizing the singular chain complex for spaces. We will study its basic properties, see how it acquires a multiplicative structure and becomes a graded commutative algebra. We study an algebraic version, namely group cohomology, and compare both approa
Kathryn Hess BellwaldKathryn Hess Bellwald received her PhD from MIT in 1989 and held positions at the universities of Stockholm, Nice, and Toronto before moving to the EPFL.Her research focuses on algebraic topology and its applications, primarily in the life sciences, but also in materials science. She has published extensively on topics in pure algebraic topology including homotopy theory, operad theory, and algebraic K-theory. On the applied side, she has elaborated methods based on topological data analysis for high-throughput screening of nanoporous crystalline materials, classification and synthesis of neuron morphologies, and classification of neuronal network dynamics. She has also developed and applied innovative topological approaches to network theory, leading to a powerful, parameter-free mathematical framework relating the activity of a neural network to its underlying structure, both locally and globally.In 2016 she was elected to Swiss Academy of Engineering Sciences and was named a fellow of the American Mathematical Society and a distinguished speaker of the European Mathematical Society in 2017. In 2021 she gave an invited Public Lecture at the European Congress of Mathematicians. She has won several teaching prizes at EPFL, including the Crédit Suisse teaching prize and the Polysphère d’Or.
Dragan DamjanovicDragan Damjanovic received BSc diploma in Physics from the Faculty of Natural Sciences and Mathematics, University of Sarajevo, in 1980, and PhD in Ceramics Science from the Department of Materials Science and Engineering, College of Earth and Mineral Sciences, the Pennsylvania State University (PSU) in 1987. From 1988 to 1991 he was a research associate in the Materials Research Laboratory at the PSU. He joined the Ceramics Laboratory, Department of Materials Science and Engineering, Ecole polytechnique fédérale de Lausanne in 1991. He is currently a "professeur titulaire", heads the Group for Ferroelectrics and Functional Oxides at the Institute of Materials and teaches undergraduate and graduate courses on structure and electrical properties of materials. The research activities include fundamental and applied investigations of piezoelectric, ferroelectric and dielectric properties of a broad class of materials.
Jan Sickmann HesthavenProf. Hesthaven received an M.Sc. in computational physics from the Technical University of Denmark (DTU) in August 1991. During the studies, the last 6 months of 1989 was spend at JET, the european fusion laboratory in Culham, UK. Following graduation, he was awarded a 3 year fellowship to begin work towards a Ph.D. at Riso National Laboratory in the Department of Optics and Fluid Dynamics. During the 3 years of study, the academic year of 1993-1994 was spend in the Division of Applied Mathematics at Brown University and three 3 months during the summer of 1994 in Department of Mathematics and Statistics at University of New Mexico. In August 1995, he recieved a Ph.D. in Numerical Analysis from the Institute of Mathematical Modelling (DTU). Following graduation in August 1995, he was awarded an NSF Postdoctoral Fellowship in Advanced Scientific Computing and was approinted Visiting Assistant Professor in the Division of Applied Mathematics at Brown University. In December of 1996, he was appointed consultant to the Institute of Computer Applications in Science and Engineering(ICASE) at NASA Langley Research Center (NASA LaRC). As of July 1999, he was appointed Assistant Professor of Applied Mathematics, in September 2000 he was awarded an Alfred P. Sloan Fellowship, as of July 2001 he was awarded a Manning Assistant Professorship, and in March 2002, he was awarded an NSF Career Award. In January 2003, he was promoted to Associate Professor of Applied Mathematics with tenure and in May 2004 he was awarded Philip J. Bray Award for Excellence in Teaching in the Sciences (the highest award given for teaching excellence in all sciences at Brown University). He was promoted to Professor of Applied Mathematics as of July 2005. From October 2006 to June 2013, he was the Founding Director of the Center for Computation and Visualization (CCV) at Brown University. As of October 2007, he holds the (honorary) title of Professor (Adjunct) at the Technical University of Denmark. In November 2009, he successfully defended his dr.techn thesis at the Technical University of Denmark and was rewarded the degree of Doctor Technices -- the highest academic distinction awarded based on ... substantial and lasting contributions that has helped to move the research area forward and penetrated into applications. As grant Co-PI he served from Aug 2010 to June 2013 as Deputy Director of the Institute of Computational and Experimental Research in Mathematics (ICERM), the newest NSF Mathematical Sciences Research Institute. After having spend his entire academic career at Brown University, Prof Hesthaven decided to pursue new challenges and joined the Mathematics Institute of Computational Science and Engineering (MATHICSE) at Ecole Polytechnique Fédérale de Lausanne (EPFL) in Switzerland in July 2013. In March 2014 he was elected SIAM Fellow for contributions to high-order methods for partial differential equations.
Mathieu HuruguenTeaching & PhD Courses Algèbre linéaire et géométrie (pour MAN) PREPA-032(a) We present the fundamental notions of linear algebra in the geometric context where they emerged. We will therefore emphasize the dimensions 2 and 3, and insist on the visualisation of classical objects and operations in the plane and in the 3D space. Analysis II (for CMS) PREPA-005(a) This class focus on the studies of special functions : trigonometric, logarithmic and exponential functions. Anal
