Ph.D. in mathematics, Universitat Autònoma de Barcelona, 1988.
Postdoc at Department of mathematics, Ohio State University, Columbus, Ohio, 1989-90, and Mathematisches Institut, Heidelberg, 1990-91.
Associate Professor, Departament de Matemàtiques, Universitat Autònoma de Barcelona, 1992-2004.
Professor at same Department since 2004.

• Unstable homotopy theory
• Finite groups
• Compact Lie groups
• Finite loop spaces
• Fusion systems

PID2024-158573NB-I00, Synergies between group theory, homotopy theory, and combinatorics
Funding entity and call: AEI (Spanish State Research Agency) 
IP: Carles Broto and Natàlia Castellana
Period: 2025 to 2028

2021 SGR 01015. Laboratory of Interactions between Geometry, Algebra and Topology (LIGAT)
o Funding entity and call: AGAUR
o IP: Dolors Herbera
o Period: 2023 to 2025

1. C. Broto, J. Møller, B. Oliver, and A. Ruiz. Realizability and tameness of fusion systems, Proc. Lond. Math. Soc. 127 (2023), 1816–1864
2. C. Broto, J. Møller, and B. Oliver. Automorphisms of fusion systems of finite simple groups of Lie type, Memoirs of the American Mathematical Society, 126 (2019) pp. 1¬–117
3. C. Broto, R. Levi, and B. Oliver. An algebraic model for finite loop spaces. Algebraic and Geometric Topology, 14 (2014) pp. 2915¬–2981
4. C. Broto, J. Møller, and B. Oliver. Equivalences between fusion systems of finite groups of Lie type. J. Amer. Math. Soc. 25 (2012), 1–20
5. C. Broto and J. Møller. Chevalley p-local finite groups. Algebraic and Geometric Topology, 7 (2007) pp. 1809-1919
6. C. Broto, R. Levi, and B. Oliver. Discrete models for the p-local homotopy theory of compact Lie groups and p-compact groups. Geometry and Topology, 11 (2007) pp. 315–427