Giordano Favi

Expertise Research: Non associative Algebra, Category Theory, Triangulated Category Theory, Balmer-Witt Theory,  Quadratic Forms in Characteristic 2, Galois Theory, Essential dimension, Tensor Triangular GeometryTeaching:  Algebra (Associative, Linear, Commutative or not),  Differential Calculus , Algebraic Geometry/Topology, etc. Current work Teaching: My current work at EPFL is half time dedicated to teaching mathematics for 1st year students. It is very important to give satisfactory introductory courses to first year students: future engineers need solid basis in mathematics and that is the purpose of my courses.I also share with passion my vision of mathematics which is a beautiful tool for expressing elaborate constructions by supervising semestre projects in Category Theory.Research: Categorical Topology, (Higher) Category Theory, Topos Theory, Tensor Triangular Geometry, Essential Dimension, Number Theory, Logic, Applications of Category Theory to non mathematical problems. Mission My vision in teaching mathematics is to provide simple explanations for complex concepts. I also like to explain mathematical theories using analogy and comparison with everyday examples. Education Ph.D | Mathematics 2003 – 2003 Universite de Lausanne Directed by Prof. Manuel Ojanguren Master | Mathematics 1999 – 1999 Universite de Lausanne Directed by Prof. Manuel Ojanguren Bachelor | Mathematics 1998 – 1998 Universite de Lausanne Professionals experiences Scientific Collaborator 2014–2014 EPFLLecturer 2012–2014 EPFLLecturer 2010–2011 EPFLScientific Collaborator 2006–2010 Universität BaselLecturer 2009–2010 EPFLGuest researcher 2006–2006 Universität BielefeldGuest researcher 2005–2005 Forschungsinstitut ZürichPost-doc 2005–2005 ETHZPost-doc 2004–2005 Universität BaselPost-doc 2004–2004 EPFLDoctoral Assistant 1998–2003 Université de Lausanne ResearchCategory Theory My main research interest is in Category Theory and its generalizations to higher dimensions. This branch of mathematics has the potential to be applied to all kind of science. It even has an entry in the Stanford Encyclopedia of Philosophy:"Category theory has come to occupy a central position in contemporary mathematics and theoretical computer science, and is also applied to mathematical physics. Roughly, it is a general mathematical theory of structures and of systems of structures. As category theory is still evolving, its functions are correspondingly developing, expanding and multiplying. At minimum, it is a powerful language, or conceptual framework, allowing us to see the universal components of a family of structures of a given kind, and how structures of different kinds are interrelated. Category theory is both an interesting object of philosophical study, and a potentially powerful formal tool for philosophical investigations of concepts such as space, system, and even truth. It can be applied to the study of logical systems in which case category theory is called "categorical doctrines" at the syntactic, proof-theoretic, and semantic levels. Category theory is an alternative to set theory as a foundation for mathematics. As such, it raises many issues about mathematical ontology and epistemology. Category theory thus affords philosophers and logicians much to use and reflect upon. [...]"To quote one of my favorite mathematicians:"In the years between 1920 and 1940 there occurred, as you know, a complete reformation of the classification of different branches of mathematics, necessitated by a new conception of the essence of mathematical thinking itself, which originated from the works of Cantor and Hilbert. From the latter there sprang the systematic axiomatization of mathematical science in entirety and the fundamental concept of mathematical structure. What you may perhaps be unaware of is that mathematics is about to go through a second revolution at this very moment. This is the one which is in a way completing the work of the first revolution, namely, which is releasing mathematics from the far too narrow conditions by Teaching & PhD Courses Linear Algebra MATH-111(d) The purpose of the course is to introduce the basic notions of linear algebra and its applications. Past courses Mathématiques pour Architectes - Mathématiques Générales pour Biologie et Pharmacie (UNIL) -Analyse 2 -Algebra -Topology -Group Theory -Linear Algebra -Algebraic Topology -Commutative Algebra -Introduction to Category Theory -Analyse I -Algèbre linéaire Awards Coolest Teacher on Earth University of Antarctic City - North Pole, Antarctica - Planet Earth PO Box 0000 2020