Carolina Vallejo Rodríguez

I am currently a Severo Ochoa postdoctoral researcher at the ICMAT. My main interests are global/local problems in representation theory.

I completed my Ph.D. under the guidance of Gabriel Navarro . The principal object of my Ph.D. thesis was to find explicit bijections between character sets, so that fields of values of characters were preserved.

Research

Submitted

  • 2-Local blocks with one simple module (joint work with G. Navarro).

In press

  • Brauer correpondent blocks with one simple module (joint work with G. Navarro and P.H. Tiep). To appear in Transactions of the American Mathematical Society. Preprint.

Published

Talks

Invited

  • (Upcoming) "Representation Theory in Kaiserslautern" , TU Kaiserslautern, Germany. July 2017.
  • Algebra seminar, UPV/EHU, Spain. May 2017. Detecting local properties in the character table of a group.
  • Algebra seminar, University of Murcia, Spain. March 2017. Detecting local properties in the character table of a group.
  • Group Theory seminar , ICMAT, Spain. February 2017. La tabla de caracteres de un grupo y sus propiedades locales.
  • "Triangle meeting" , University of Birmingham, UK. January 2017. Detecting local properties in the character table.
  • Seminar during the semester "Local representation theory and simple groups". CIB (EPFL), Lausanne, Switzerland. October 2016. Detecting local properties in the character table.
  • Second joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies. Riojaforum and Faculty of Science and Technology of Logroño, Spain. June 2016. The self-normalizing case of the McKay conjecture.
  • Algebra seminar, University of Birmingham, UK. May 2016. Coprime action and Brauer characters.
  • Algebra seminar, University of Manchester, UK. April 2016. Coprime action and Brauer characters.
  • Oberseminar Algebra, Universitaet Stuttgart, Germany. May 2015. p-Rational characters and p-decomposable Sylow normalizers.
  • Oberseminar Algebra/Zahlentheorie, Universitaet Jena, Germany. May 2015. Coprime action and Brauer characters.
  • Seminar Gruppen und Darstellungen: Sommersemester 2015, TU Kaiserslautern, Germany. April 2015. Coprime action and Brauer characters.
  • Global/Local Conjectures in Representation Theory of Finite Groups, Banff, Canada. March 2014. McKay natural correspondences of characters.

Contributed

  • XI Encuentro en Teoría de Grupos, Barcelona, Spain. September 2016. La tabla de caracteres de un grupo y sus propiedades locales.
  • Darstellungstheorie-Tage 2014, TU Kaiserslautern, Germany. November 2014. p-Rational characters and p-decomposable p-Sylow normalizers.
  • X Encuentro en Teoría de Grupos, Sevilla, Spain. October 2014. El caso autonormalizante de la conjetura de McKay.
  • Young Algebraists’ Conference 2014, EPFL Lausanne, Switzerland. June 2014. McKay Natural Correspondences.
  • Groups St. Andrews 2013, St. Andrews, UK. August 2013. Certain monomial characters and their subnormal constituents.

Some beamer talks

I have only used beamer in my first three talks. I don't really like giving beamer talks.

  • McKay natural correspondences, Lausanne (2014). Beamer.
  • McKay natural correspondences, Banff (2014). Beamer .
  • Certain monomial characters and their subnormal constituents, St. Andrews (2013). Beamer .

Miscellanea

I will be visiting the TU Kaiserslautern next July.

I visited the EHU/UPV in Bilbao during May.

I visited the CIB at the EPFL as a guest of the semester "Local representation theory and simple groups" in October 2016.

I spent three months (March-May) at the TU Kaiserslautern in 2015. During that time I gave three seminars at different German universities.

How to contact me

ICMAT
Campus Cantoblanco, UAM
C/ Nicolás Cabrera, 13 - 15
28049, Madrid (ES)

My e-mail adress:
carolina . vallejo @ icmat . es
(remove blank spaces)