Carolina Vallejo

Carolina Vallejo Rodríguez

I am a Severo Ochoa postdoctoral researcher at 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 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-organised the third edition of "Groups in Madrid" last year.

News

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

Research

Preprints

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

Submitted

Characters of π '-degree (joint work with E. Giannelli and A. Schaeffer-Fry).

Published

Brauer correspondent blocks with one simple module (joint work with G. Navarro and P. H. Tiep). Transactions of the American Mathematical Society 371 (2019), no. 2, 903-922.
Even degree characters in the principal block (joint work with E. Giannelli and G. Malle). J. Pure Appl. Algebra 223 (2019), no. 2, 900–907.
2-Brauer correspondent blocks with one simple module (joint work with G. Navarro), Journal of Algebra, 488 (2017), 230-243.
Feit numbers and p'-degree characters, Journal of Group Theory, 19 (2016), no. 6, 1129-1136.
Coprime action and Brauer characters (joint work with B. Späth), Journal of Algebra, 457 (2016), 278-311.
Certain monomial characters and their subnormal constituents (joint work with G. Navarro), Groups St. Andrews 2013, London Mathematical Society Lecture Note Series 442 (2015), 436–438.
McKay natural correspondences of characters (joint work with G. Navarro and P. H. Tiep), Algebra and Number Theory, 8 (2014), no. 8, 1839–1856.
A criterium for monomiality, Rend. Sem. Mat. Univ. Pad., 131 (2014), 259–262.
Certain monomial characters of p'-degree (joint work with G. Navarro), Archiv der Mathematik, 99 (2012), no. 5, 407–411.

Some Talks

Invited

(Upcoming) "Groups, rings and associated structures 2019", Spa, Belgium. June 2019.
(Upcoming) Seminario di Algebra, Universitá degli Studi di Firenze. February 20, 2019. The McKay conjecture and fields of values of characters.
(Upcoming) "Congreso Bienal de la RSME 2019", Group Theory Special Session, Santander, Spain. February 2019. On character degrees of finite groups.
"Representations of Finite and Algebraic Groups", MSRI, USA. Simons Auditorium, April 2018. The McKay conjecture and fields of values of characters.
"Connections for Women: Group Representation Theory and Applications", MSRI, USA, Simons Auditorium, February 2018. Sylow normalizers and Galois action on characters.
"IV Congreso jóvenes investigadores de la RSME", Universitat de València, Spain. September 2017. On Feit numbers.
"Representation Theory in Kaiserslautern", TU Kaiserslautern, Germany. July 2017. On Brauer correspondent blocks.
"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.
"Global/Local Conjectures in Representation Theory of Finite Groups", Banff, Canada. March 2014. McKay natural correspondences of characters.

Contributed

"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.

McKay natural correspondences, Lausanne (2014).
McKay natural correspondences , Banff (2014).
Certain monomial characters and their subnormal constituents, St. Andrews (2013). (This was my first talk at conference.)

Miscellanea

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 Jussieu in June 2018.

_{Sunset view from the outside of the
Hôtel Lauzun in Paris.}

I visited the TU Kaiserslautern during July 2017.

_{Wild raspberries in the
Palatinate forest.}

I visited the EHU/UPV in Bilbao during May 2017.

_{The Guggenheim museum.}

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

_{The Rolex learning center.}

I visited the University of Manchester in April 2016.

_{The Manchester Art Gallery.}

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

_{The forest is especially beautiful in autumn.}

How to contact me

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

My e-mail adresses (remove blank spaces):
carolina . vallejo @ icmat . es
carolina . vallejo @ uv . es
carolina . vallejo @ berkeley . edu