Thomas Georges Pierre VidickEnseignement et PhD Doctorant·es actuel·les Itammar Steinberg, Aviv Taller Cours Formal Mathematics with Lean and AI CS-643 Introduction to quantum computation CS-308 Ce cours introduit le paradigme du calcul quantique de facon axiomatique. Le cours introduit les notions de bit quantique, portes logiques et circuits quantiques, traite les principaux algorithmes quantiques, et les codes correcteurs. Le cours est indépendant de COM-309. Introduction to quantum cryptography
Stefano Francesco BurzioExpertise
Analyse et modélisation des phénomènes naturels non linéaires. équations aux différentielles partielles hyperboliques. Méthodes des éléments finis.
Enseignement et PhD Cours Dynamic finite element analysis of structures ME-473 Le cours présente l'analyse numérique des structures en trois dimensions en utilisant la méthode des éléments finis dans le cadre de l'élasticité linéaire. Les étudiants acquerront une maîtrise des techniques numériques les plus couramment utilisées en dynami
Jérôme SchererEnseignement et PhD Doctorant·es actuel·les Virgile Simon Constantin A dirigé les thèses EPFL de Samuel Lavenir A co-dirigé les thèses EPFL de Kay Remo Werndli, Lyne Moser Cours Topology IV.a - Cohomology rings MATH-506 La cohomologie singulière vient de la dualisation du complexe des chaines singulières. Nous étudions ses propriétés, voyons comment elle acquiert une structure multiplicative, celle d'une algèbre graduée commutative. Une version algébrique, la cohomologie des groupes, est c
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 HuruguenEnseignement et PhD Cours Algèbre linéaire (pour CMS) PREPA-001 Dans la première partie du cours on couvre des notions de langage ensembliste et de logique élémentaire. Dans la deuxième partie, le but est de familiariser les étudiants avec les notions fondamentales de l'algèbre linéaire à travers leur étude géométrique en dimension 2. Algèbre linéaire et géométrie (pour MAN) PREPA-032(a) On présente les notions fondamentales de l'algèbre linéaire dans le contexte géométrique
