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Irene Fonseca is the Kavčić-Moura University Professor of Mathematics at the Department of Mathematical Sciences at Carnegie Mellon University, where she is the Director of the Center for Nonlinear Analysis (CNA).

Irene Fonseca has supervised 18 Ph.D. students and mentored 45 postdoctoral fellows.  She is a Fellow of the American Mathematical Society (AMS), a Fellow of the Society for Industrial and Applied Mathematics (SIAM), a Fellow of the European Academy of Sciences, and she was elected to the Academy of Sciences of Lisbon (Portugal). She was SIAM President in 2013 and 2014. She is a Grand Officer of the Military Order of Saint James of the Sword (Grande Oficial da Ordem Militar de Sant’Iago da Espada, Portuguese Decoration). She is Vice-President of the American Mathematical Society from 2023 till 2026. She serves in 21 Editorial Boards, including Advances in Calculus of Variations, Archive for Rational Mechanics and Analysis, Communications of the AMS (CAMS), ESAIM:COCV (SMAI), Journal of Nonlinear Science,
 Mathematical Models and Methods in Applied Sciences (M3AS), and SIAM Journal on Mathematical Analysis. She is a member of several advisory and scientific boards of research centers and institutes, she participates in international prize committees, and is in the review and evaluation panels of multiple universities in the US and abroad. Irene Fonseca’s main contributions have been to the variational study of ferroelectric and magnetic materials, composites, thin structures, phase transitions, and on the mathematical analysis of image segmentation, denoising, detexturing, registration and recolorization in computer vision.  Her research program continues to explore modern methods in the calculus of variations motivated by problems issuing from materials science and imaging science.