Natàlia Castellana

PhD in Mathematics from UAB
Research areas: Topology

I was a EPSRC postdoc, Aberdeen University, from 2000 and 2001; and a visiting professor in Purdue University in 2005.
I have participated in several research porgrammes: Mittag-Leffler Insitute (2006), Bernouilli Centre (2005), Max-Planck Institut fur Mathematik (2001) and several workshops at Matematisches Forschunginstitut Oberwolfach.
Coordinator of the Spanish Topology Netwok (2012).
PI of research projects “MTM2010-20692: Análisis local en grupos y espacios topológicos” and “MTM2013-42293-P: Teoría de homotopía de espacios clasificadores y espacios de funciones”.

Research lines

  • Algebraic topology
  • Homotopy theory
  • Classifying spaces
  • Homotopy idempotent functors

Selected publications

  • Broto, Carles; Castellana, Natàlia; Grodal, Jesper; Levi, Ran; Oliver, BobSubgroup families controlling p-local finite groups.Proc. London Math. Soc. (3) 91 (2005), no. 2, 325–354.
  • Castellana, Natàlia; Crespo, Juan A.; Scherer, Jérôme Deconstructing Hopf spaces.Invent. Math.167 (2007), no. 1, 1–18.
  • Castellana, Natàlia; Levi, Ran; Notbohm, Dietrich Homology decompositions for p-compact groups. Adv. Math. 216 (2007), no. 2, 491–534.
  • Castellana, Natàlia; Libman, Assaf Wreath products and representations of p-local finite groups.Adv. Math. 221 (2009), no. 4, 1302–1344.
  • Castellana, Natàlia; Flores, Ramón Homotopy idempotent functors on classifying spaces.Trans. Amer. Math. Soc. 367 (2015), no. 2, 1217–1245.