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Bernardo Villarreal Herrera
  • About me
  • Research
Bernardo Villarreal Herrera
  • About me
  • Research
  • More
    • About me
    • Research

   Papers and Preprints

  • Counting conjugacy classes of elements of finite order in p-compact groups, with J. Cantarero. Preprint, 2025.

  • Topological components of spaces of commuting elements in connected nilpotent Lie groups, with O. Antolín-Camarena. To appear in Tunis. J. Math.

  • On the second homotopy group of the classifying space for commutativity in Lie groups. Geom. Dedicata. 217 (2023), no. 3, article 51. Journal.

  • On families of nilpotent subgroups and associated coset posets, with S. Gritschacher. J. Homotopy Relat. Str. 63 (2022), no. 4, 493-509. Journal.

  • Higher generation by abelian subgroups in Lie groups, with O. Antolín-Camarena and S. Gritschacher. Transform. Groups (2021), 1-16. Journal.

  • The complex of affinely commutative sets, with O. Antolín-Camarena.

  • Nilpotent n-tuples in SU(2), with O. Antolín-Camarena. Proc. Edinburgh Math. Soc. 63 (2020), no. 4, 1005-1030. Journal.

  • Classifying spaces for commutativity of low-dimensional Lie groups, with O. Antolín-Camarena and S. Gritschacher. Math. Proc. Cambridge Philos. Soc. 169 (2020), no. 3, 433-478. Journal.

  • Commutative cocycles and stable bundles over surfaces, with D. Ramras. Forum Math. 31 (2019), no. 6, 1395-1415. Journal.

  • Cosimplicial groups and spaces of homomorphisms. Algebr. Geom. Topol. 17 (2017), no. 6, 3519-3545. Journal.

Other publications

  • A simplicial approach to spaces of homomorphisms, PhD Thesis. cIRcle UBC, 2017.

  • Espacios clasificantes y teorías de cohomología, Master's Essay. Repositorio UNAM, 2012.


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