 |
Andrea Braides (born 12 April 1961) is an Italian mathematician, specializing in the calculus of variations. He is a professor at the University of Rome Tor Vergata and at the International School for Advanced Studies (SISSA) in Triest.
|
Andrea Braides (born 12 April 1961) is an Italian mathematician, specializing in the calculus of variations. He is a professor at the University of Rome Tor Vergata and at the International School for Advanced Studies (SISSA) in Triest.
Born in Udine, Braides studied at the University of Pisa and Scuola Normale Superiore obtaining the degree in Mathematics (Laurea) in 1983 (Gamma-Limits of Functionals in the Calculus of Variations) supervised by Ennio De Giorgi and then at the corsi di perfezionamento (course of higher specialization) at Scuola Normale Superiore. He taught at the University of Udine in 1985–86 and then served two years of servizio civile. At the University of Brescia, he became in 1988 a research associate and in 1992 an associate professor. From 1995 to 2000 he was an associate professor at SISSA in Triest and from 2000 to the present a full professor at the University of Rome Tor Vergata.
He was a visiting professor at the Tata Institute of Fundamental Research (in 1994 and again in 2004), at the Max Planck Institute for Mathematics in the Sciences in Leipzig (in 1998), at Caltech, at the Centre Emile Borel in Paris, at the Isaac Newton Institute, at the University of Paris VI and the University of Paris XIII, at Carnegie-Mellon University, at Stanford University (Timoshenko scholar) and at the department of aerospace engineering at the University of Minnesota. He was a one-year visiting fellow at Mansfied College and visiting professor at the Mathematical Institute in Oxford in 2013–14.
Braides has done research on the calculus of variations, Gamma convergence, asymptotic homogenization, discrete variational problems, percolation, fracture mechanics, image processing, free-discontinuity problems, and geometric measure theory.
In 2014 he was an Invited Speaker at the International Congress of Mathematicians in Seoul with talk Discrete-to-continuum variational methods for lattice systems. [1]
On the occasion of his 60th birthday he was the dedicatee of the international conference "Calculus of Variations. Back to Carthage" held in Carthage, Tunisia from 16–20 May 2022.
Discrete mathematics is the study of mathematical structures that can be considered "discrete" rather than "continuous". Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics in "continuous mathematics" such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers; more formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets. However, there is no exact definition of the term "discrete mathematics".
In the mathematical field of complex analysis, elliptic functions are special kinds of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from elliptic integrals. Those integrals are in turn named elliptic because they first were encountered for the calculation of the arc length of an ellipse.
Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric objects. Most questions in discrete geometry involve finite or discrete sets of basic geometric objects, such as points, lines, planes, circles, spheres, polygons, and so forth. The subject focuses on the combinatorial properties of these objects, such as how they intersect one another, or how they may be arranged to cover a larger object.
Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act.
Numerical methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs).
In numerical analysis, a multigrid method is an algorithm for solving differential equations using a hierarchy of discretizations. They are an example of a class of techniques called multiresolution methods, very useful in problems exhibiting multiple scales of behavior. For example, many basic relaxation methods exhibit different rates of convergence for short- and long-wavelength components, suggesting these different scales be treated differently, as in a Fourier analysis approach to multigrid. MG methods can be used as solvers as well as preconditioners.
Ennio De Giorgi was an Italian mathematician who worked on partial differential equations and the foundations of mathematics.
Tor Vergata University of Rome, also known as the University of Tor Vergata, is a public research university located in Rome, Italy. Located in the southeastern suburb of Rome, the university combines a liberal arts tradition with emphasis on career orientation in the field of Economics, Engineering, Mathematics and Physics, Natural Sciences, and Medicine.
Guido Stampacchia was an Italian mathematician, known for his work on the theory of variational inequalities, the calculus of variation and the theory of elliptic partial differential equations.
In computer science, lattice problems are a class of optimization problems related to mathematical objects called lattices. The conjectured intractability of such problems is central to the construction of secure lattice-based cryptosystems: lattice problems are an example of NP-hard problems which have been shown to be average-case hard, providing a test case for the security of cryptographic algorithms. In addition, some lattice problems which are worst-case hard can be used as a basis for extremely secure cryptographic schemes. The use of worst-case hardness in such schemes makes them among the very few schemes that are very likely secure even against quantum computers. For applications in such cryptosystems, lattices over vector space or free modules are generally considered.
In mathematics and physics, homogenization is a method of studying partial differential equations with rapidly oscillating coefficients, such as
Martin Aigner was an Austrian mathematician and professor at Freie Universität Berlin from 1974 with interests in combinatorial mathematics and graph theory.
Luigi Ambrosio is a professor at Scuola Normale Superiore in Pisa, Italy. His main fields of research are the calculus of variations and geometric measure theory.
Mariano Giaquinta, is an Italian mathematician mainly known for his contributions to the fields of calculus of variations and regularity theory of partial differential equation. He is currently professor of Mathematics at the Scuola Normale Superiore di Pisa and he is the director of De Giorgi center at Pisa.
Alessio Figalli is an Italian mathematician working primarily on calculus of variations and partial differential equations.
Andrea Malchiodi is an Italian mathematician who is active in the fields of partial differential equations and calculus of variations, with several contributions to geometric analysis.
Gianni Dal Maso is an Italian mathematician who is active in the fields of partial differential equations, calculus of variations and applied mathematics.
Giovanni Alberti is an Italian mathematician who is active in the fields of calculus of variations, real analysis and geometric measure theory.
Jürgen Jost is a German mathematician specializing in geometry. He has been a director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 1996.
Paolo Marcellini is an Italian mathematician who deals with mathematical analysis. He was a full professor at the University of Florence, actually Professor Emeritus, who works on partial differential equations, calculus of variations and related mathematics. He was the Director of the Italian National Group GNAMPA of the Istituto Nazionale di Alta Matematica (INdAM) and Dean of the Faculty of Mathematical, Physical and Natural Sciences of the University of Florence.
| International | |
|---|---|
| National | |
| Academics | |
| Other | |
