Prof. Isabelle Gallagher

Isabelle Gallagher is Professor of Mathematics at Paris-Diderot University and at the Ecole Normale Suprieure of Paris. Her principal theme of research concerns the mathematical anal- ysis of Partial Differential Equations related to Fluid Mechanics, through two different points of views: their derivation, and their resolution.

From the derivation point of view, she is interested in the passage from the microscopic description of fluids to their macroscopic description. More precisely, following Hilbert’s sixth problem, the question is to understand how to reconcile Newton’s laws for classical particles constituting the fluid and macroscopic PDEs such as the Euler or Navier-Stokes equations. This has been in particular the subject of joint efforts with Thierry Bodineau and Laure Saint-Raymond in the past few years.

From the resolution point of view, she is mostly interested in understanding the behaviour of smooth solutions to the Navier-Stokes equations, associated with smooth initial data in three space dimensions: solving globally those equations for general initial data is a long- standing open question, and together with a number of collaborators she has been trying to understand the behaviour of solutions, whether near blow up time (supposing such solutions exist) or in large times.

She was an invited speaker at ICM 2014 and ECM 2012, and the recipient of the CNRS Silver Medal in 2016.

Prof. Sylvia Serfaty

Sylvia Serfaty is Silver Professor at the Courant Institute of Mathematical Sciences of New York University. Prior to this she has been Professor at the Université Pierre et Marie Curie (currently Sorbonne Université) at the Laboratoire Jacques-Louis Lions, and has held various appointments at the Courant Institute of NYU.

She works in calculus of variations, nonlinear partial differential equations, and mathematical physics.  A large part of her work has focused on the Ginzburg-Landau model of superconductivity and on understanding why and when vortices form triangular lattices.
She has more recently turned her attention to questions of statistical mechanics of systems with Coulomb-type repulsion, also arising in approximation theory and  random matrices, and which turn out to be generalizations of the questions addressed for the behavior vortices in superconductors.

She will be a plenary speaker at the International Congress of Mathematicians in 2018, and is the recipient of the EMS and Henri Poincaré prizes.
She earned her BS and MS in Mathematics from the École Normale Supérieure in Paris, and her PhD from Université Paris Sud.

Prof. Donald Goldfarb

Donald Goldfarb is the Avanessians Professor in the IEOR Department at Columbia University. He is internationally recognized for the development and analysis of efficient and practical algorithms for solving various classes of optimization problems, including the BFGS quasi-Newton method (QN) for unconstrained optimization, steepest-edge simplex algorithms for linear programming, and the Goldfarb-Idnani algorithm for convex quadratic programming. According to SIAM News (2016), Newton and quasi-Newton methods and simplex methods rank rst and ninth, respectively among all "algorithms with the greatest in uence on the development and practice of science and engineering in the 20th century". The BFGS and steepest-edge algorithms developed by Goldfarb, are the basis for the most successful variants of these classes of methods. Professor Goldfarb has also developed simplex and combinatorial algorithms for network ow problems, interior-point methods for linear, quadratic and second-order cone programming, including algorithms for robust optimization, and rst-order algorithms for image de-noising, compressed sensing and machine learning.

After obtaining a PhD degree from Princeton, Goldfarb spent two years as a post-doc at the Courant Institute. In 1968, he co-founded the CS Department at the City College of New York, serving 14 years on its faculty. During the 1979-80 academic year, he was a Visiting Professor in the CS and ORIE Departments at Cornell University. In 1982, Goldfarb joined the IEOR Department at Columbia, serving as Chair from 1984-2002. He also served as Interim Dean of Columbia's School of Engineering and Applied Science during the 1994-95 and 2012-13 academic years and its Executive Vice Dean during the Spring 2012 semester.

Goldfarb is a SIAM Fellow. He was awarded the INFORMS John Von Neumann Theory Prize in 2017, the Khachiyan Prize in 2013 the INFORMS Prize for Research Excellence in the Interface between OR and CS in 1995, and was listed in The Worlds Most In uential Scienti c Minds, 2014, as being among the 99 most cited mathematicians between 2002 and 2012. Goldfarb has served as an editor-in-chief of Mathematical Programming, an editor of the SIAM Journal on Numerical Analysis and the SIAM Journal on Optimization, and as an associate editor of Mathematics of Computation, Operations Research and Mathematical Programming Computation.

Prof. Carlos Conca

Carlos Conca was born into an Italian immigrant family in the Chilean capital of Santiago on 4 November 1954. In 1977 he got a position as Assistant Prof essor at the University of Chile and, since then, has devoted his career to research i n Applied Mathematics. His stay in Paris, from 1979 to 1987, was fundamental to his appro ach to science. There he carried out research and worked within the heart of the Mathe matics School of Professor Jacques Louis Lions.
In Chile, he has pioneered the development of Applied Mathem atics. His works have con- tributed decisively in solving various problems coming fro m different areas of knowledge : Mechanics, other Engineering Sciences, and Natural Scienc es, mainly. He has authored two books and 156 scientific papers. He was awarded a Presiden tial Chair in Sciences by the President of the Chilean Republic in 1996, and the year 20 03 was distinguished with the National Award of Exact Sciences by the Ministry of Educa tion. In France, in June 1998, by decision of the Minister of Education, Research and Technology, he was honored “Doctor Honoris Causa” by the University of Metz.
The importance of his research work goes beyond mathematica l theory, to explain phe- nomena in problems and processes of industrial origin. Math ematical models proposed by Carlos at the beginning of the 1980’s gave useful answers to a pplied questions, emanating from the French company “Electricit ́e de France”, on tubula r nuclear reactors. In Chile, he has sheltered a fruitful relationship with the mining com pany CODELCO Chile (Na- tional Copper Corporation of Chile) since more than 30 years ago. The ideas introduced by Carlos have led to important developments in pure and appl ied mathematics, but have also given rise to technological innovations.

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