He obtained the professional degree of Civil Mathematical Engineer from Universidad de Chile in 2001, graduating as the best student of his cohort of Civil Engineering at Universidad de Chile (Marco Orrego Puelma fellowship 2002). His undergraduate work in Optimizatión, developed together with his advisor Roberto Cominetti, was published as an article in SIAM Journal on Optimization el 2002.
Between 2002 and 2007 he did his Ph.D. in Mathematics at University of Washington – Seattle, where he was awarded the Microsoft Scholarship in 2002, the Academic Excellence Award in 2003 and the McFarlan Fellowship Award in 2005. During his Ph.D. he worked on topics of discrete mathematics, publishing a note in Journal of Combinatorics Theory, Series A, but finally he focused in the area of mathematical Inverse Problems. He completed his Ph.D. in 2007, under his advisor Gunther Uhlmann, with an interdisciplinary thesis on Computed Tomography with truncated measurements.
Between 2007 and 2009 he was the Chu Assistant Professor of Applied Mathematics, at the Applied Physics and Applied Mathematics Department of Columbia University (New York), where he worked with Guillaume Bal. And since 2009 he joined the Math Department of Pontificia Universidad Católica de Chile, where he is currently an Associate Professor.
The main research topic of Matias Courdurier is Inverse Problems, from a mathematical perspective, but with a strong emphasis in problems arising from applications. His research interest begins in the applications themselves, where he tries to tackle interesting and relevant problems through mathematical modelling, to then proceed to develop the mathematical theory and analysis of the problem, including ideally some numerical analysis or simulations. He tries to develop these projects in interdisciplinary groups, given the diversity of techniques and relevant knowledge required to tackle these problems.
The applications where he has worked the most are those of biomedical imaging, and with this scheme of modelling, analysis and simulation, he has developed and published works in Computed Tomography, Single-Photon Emission Computed Tomography, Positron Emission Tomography and Light-sheet Fluorescence Microscopy.
Other works by Matias Courdurier involve areas of mathematics that are related to inverse problems and include mathematical tools and techniques of common interest, like integral geometry and differential equations.
In his research, he has participated in a number of personal and group grants and projects (Fondecyt regular #1141189, Fondecyt inicio #11090310, Fondecyt regular #1191903, Conicyt Anillo ACT1416, MATH-AmSud Project: Control Systems and Identification Problems). And he participates actively in national and international research meetings. In 2019 he was invited in January to the Oberwolfach Workshop – Tomographic Inverse Problems: Theory And Applications, Germany, and he also presented his work in July in the conference Applied Inverse Problem 2019, Grenoble, France. His collaboration network include researchers in Chile, France, USA and the UK.
He has also collaborated in the development of his field in Chile through an active participation in the organization of conferences with high international participation (Inverse Problems – Methods, Applications And Synergies 2019, Inverse Problems in the Physical Sciences 2015, Coupled Physics Inverse Problems, 2013, PASI-CIPPDE: Inverse Problems and PDE Control, 2012).
In terms of teaching and education, as a professor of the Math Department, he has taught a number of diverse classes, from introductory math courses for non-mathematical degrees, like Bachelor in Social Science, to graduate courses in Mathematics for his department Ph.D. program. His outstanding teaching was recognized in 2018 with the Excellence in Teaching Award from Universidad Católica.
He has also participated in a number of curricular revisions, like the improvement of the calculus courses for the Bachelor in Mathematics, the improvement of the calculus courses for the Engineering degrees, the improvement of the Analysis course of the Math Ph.D. program, and he also participated in the wide general restructuring of the introductory math courses for all the degrees of the university.
Since 2012 he is a member of the curricular committee associated to Mathematical Engineering, an interdisciplinary degree in Applied Math and Engineering. And he designed the curricular program for the math students that want to follow the Mathematical Engineering degree after their Bachelor.
He has participated in many masters committees, for mathematics and engineering students. And between 2016 and 2019 he was the co-advisor of Evelyn Cuevas in her Ph.D. in Engineering Sciences with mention in Mathematical Modelling, from Universidad de Chile.
He has also participated in outreach activities for general public, through talk at different high school and also for specific general audience talks at the Universidad Católica.