Carolina Vallejo Rodríguez

I am a Juan de la Cierva (JCF) postdoctoral researcher at the UAM. I am part of the research team of Andrei Jaikin. My main interest are the so-called counting conjectures, which fit into the class of global/local problems in Group Representation Theory.

Previously, I was a Severo Ochoa postdoc at the ICMAT and an MSRI postdoc associated with the program Group Representation Theory and Applications at the UC Berkeley.

I completed my Ph.D. (as well as my Degree and Master) at the University of Valencia. I worked under the supervision of Gabriel Navarro. The main goal of my Ph.D. thesis was to find explicit bijections between character sets, so that fields of values of characters were preserved.

The UAM/ICMAT group theory seminar is organized by Yago Antolín, so you can contact him if you are willing to give a talk. Here you can find a list of talks for the current academic year. I co-organized the third edition of "Groups in Madrid" in 2018.


Together with Mandi Schaeffer Fry and Noelia Rizo, I will be part of the "Summer Research for Women in Mathematics" program of the MSRI (July 2019).

I co-organize the workshop "Counting conjectures and beyond" within the scientific programme "Groups, representations and applications: new perspectives" to be held at the Isaacs Newton Institute for Mathematical Science (Spring semester 2020).

Together with Olivier Dudas and Mandi Schaeffer Fry, we are planning to organize a Summer School on Representations of Finite Groups in Castro Urdiales, Spain. More information to come! The expected dates are September 7-12, 2020.



  • A reduction theorem for the Galois-McKay conjecture (joint work with G. Navarro and B. Späth).


In press


Some Talks



  • "Group Theory in Florence II", Italy. September 2018. Even degree characters in principal blocks.
  • "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 (mainly because I'm not good at it). You can find the slides below.


I visited the Universitá Degli Studi di Firenze (DIMAI) in February 2019.

David, Galleria dell'Accademia di Firenze.

My PhD. thesis has received a Vicent Caselles Award 2018 edition (a video made for this edition can be found here) and a special mention in the Reinhold Baer Prize 2017 edition (whose winner was Urban Jezernik).

The Vicent Caselles awards are given by the Royal Spanish Mathematical Society and the BBVA Foundation and their aim is to «celebrate knowledge through Mathematics».
The Baer Prize is given by the association AGTA that aims to «promote and disseminate the scientific culture and the research in group theory and its applications».

I visited the Institut de Mathématiques de Jussieu-Paris Rive Gauche in June 2018.

La coucher du soleil from the outside of the Hôtel Lauzun, sur la rive nord de l'île Saint-Louisin, Paris.

I visited the TU Kaiserslautern during July 2017.

Wild raspberries in the Palatinate forest.

I visited twice the TU Kaiserslautern while completing my PhD studies.

The forest is especially beautiful in autumn.

How to contact me

Universidad Autónoma de Madrid
Departamento de Matemáticas
Facultad de Ciencias
28049, Madrid (ES)

You may contact me by e-mail (in inverse order of preference)
  • carolina . vallejo at uam . es
  • carolina . vallejo at icmat . es
  • carolina . vallejo at uv . es