Carolina Vallejo Rodríguez

I am a Juan de la Cierva (JCF) postdoctoral researcher at the UAM and a member of the ICMAT. 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, where 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.


During the first week of Septemer 2020, and as part of the program of the Escuela JAE 2020 , I will be giving an introductory course on Character Theory at the ICMAT (Madrid).

All the activities related to the GRA programme at the Isaac Newton Institute (Cambridge) have been cancelled due to the ongoing COVID19 global crisis. We hope to celebrate the "Counting conjectures and beyond" workshop in 2022. For a modularised conference picture you can click here .

Olivier Dudas, Mandi Schaeffer Fry and I are organizing a a Summer School in Representation Theory in beautiful Castro Urdiales, Spain. The event will take place at the CIEM and it has been postponed due to the ongoing COVID19 pandemic. The new tentative dates are June 21-26, 2021. Check out the webpage for further information!



  • Characters and generation of Sylow 2-subgroups (with G. Navarro, N. Rizo and A. A. Schaeffer Fry).
  • Characters of π '-degree and small cyclotomic fields (with E. Giannelli, N. Hung and A. A. Schaeffer Fry).

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.


Apart from talks at conferences, I've given a number of seminar talks. I'm very grateful for each of these invitations, so that I had the opportunity to visit: Kaiserslautern, Jena, Stuttgart, Manchester, Birmingham, Lausanne, Madrid, Murcia, Bilbao, Santa Cruz (USA), Firenze and Málaga.

Some beamer talks

I have only used beamer in my first three talks. You can find the slides below.

Research Visits

My original 1 week stay in Florence during March 2020 turned into a 4 month research visit.

Palazzo Vecchio al tramonto, Piazza della Signoria.

I visited the MSRI last July 2019 as part of the SWiM program 2019.

San Francisco Bay sunset view from the MSRI.

I visited the Algebra group of the Universitá Degli Studi di Firenze in February 2019.

David, Galleria dell'Accademia di Firenze.

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.


My brother, José Antonio, is also a mathematician. He is a Research Professor at the UASLP, México. Check out his webpage!

On the right you can see a picture of him delivering a talk at the ICMAT.

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».

How to contact me

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

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

You may contact me at the following email addresses

  • carolina . vallejo at uam . es
  • carolina . vallejo at icmat . es
  • carolina . vallejo at uv . es