Phone
E-mail broto@mat.uab.cat
Position Professor
Research interests Topology
Area Algebra, Geometry, Number Theory and Topology
Broto, Carles
Biosketch

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.

Other Research Interests
  • Unstable homotopy theory
  • Finite groups
  • Compact Lie groups
  • Finite loop spaces
  • Fusion systems
Selected publications

C. Broto, R. Levi, B. Oliver, Homotopy equivalences of p-completed classifying spaces of finite groups, Invent. Math. 151 (2003), 611–664.


C. Broto, R. Levi y B. Oliver, The homotopy theory of fusion systems, J. Amer. Math. Soc. 16 (2003), 779–856.


C. Broto, N. Castellana, J. Grodal, R. Levi, B. Oliver, Subgroup families controlling p-local finite groups, Proc. London Math. Soc., 91 (2005), 325–354.


C. Broto, R. Levi, and B. Oliver, Discrete models for the p-local homotopy theory of compact Lie groups and p-compact groups, Geometry & Topology 11 (2007), 315–427.


C. Broto, J.M. Møller, B. Oliver, Equivalences between fusion systems of finite groups of Lie type, J. Amer. Math. Soc. 25 (2012), 1–20.

C. Broto, J. M. Møller, B. Oliver, Automorphisms of fusion systems of finite simple groups of Lie type. Memoirs of the American Mathematical Society. 2019, Vol: 126; pp. 1–117.