Dr. Jacinta (Perez Gavilan) Torres 
Office hour for students: by appointment
Room: 1.022
Kollegiengebäude Mathematik (20.30)
Tel.: +49 721 608 46930 Fax.: +49 721 608 42148 Email: jacinta.torres@kit.edu

Karlsruhe Institute for Technology
Department of Mathematics
Institute for Algebra and Geometry
Englerstr. 2 Mathebau (20.30)
76131 Karlsruhe
GERMANY

Hi! Welcome to my website.
I am Principal Investigator of the DFG project TO 1135/11.
Research Interests
Representation Theory of Lie algebras
Algebraic Combinatorics
Buildings, Alcove Geometries
I am also interested in interacting with other sciences. Beginner in learning Linguistics.
Activities
With Christian Stump and Bernd Sturmfels, we organized the Einstein Workshop on Algebraic Combinatorics. It took place at the ZUSE institute in Berlin, at the FU Berlin Dahlem Campus, on November 12, 2018.
In June 2018 I spoke at the Workshop on Algebraic Combinatorics in Reims, France.
In March 2018 I gave an introductory lecture on Representation Theory at the Spring School Tropical Geometry meets Representation Theory in Cologne.
With Anna Seigal, we organized the workshop Interactions between Algebra and the Sciences in May 2017 at MPI MiS in Leipzig. Thanks to all the speakers and paticipants for making it so interesting.
With Claire Aoi, we presented our video Women and time, freedom and math at the opening of the exhibition "Women of Mathematics throughout Europe: A gallery of portraits" at the Max Planck Institute for Mathematics in Bonn, November 2016.
Papers and Preprints
Word reading is a crystal morphism, Transformation Groups, 21(2) (2016), 577591.
The symplectic plactic monoid, crystals, and MV cycles, Pacific J. Math. 286 (2017), no. 2, 439497.
On a conjecture by NaitoSagaki: Littelmann paths and LittlewoodRichardson Sundaram tableaux, Seminaire Lotharingien de Combinatoire, 78B.53 (2017) (Extended Abstract for FPSAC 2017, presented as a poster).
A nonLevi branching rule in terms of Littelmann paths (with Bea Schumann), Proc. London Math. Soc. (3) 117 (2018) 1077–1100.
Decoupled molecules with binding polynomials of bidegree (n,2)(with Johannes Martini and Yue Ren), Journal of Mathematical Biology, https://doi.org/10.1007/s002850181295x, 2018. This collaboration came about in the context of the workshop "Interactions between Algebra and the Sciences" (see below). We provide the number of generic solutions of some remarkably complicated polynomial systems arising in biochemistry.
On Sundaram's full bijection, preprint 2017, submitted.
Invited contributions
NonLevi branching rules via Littelmann paths: a new approach, Oberwolfach Reports 21/2017, Mathematisches Forschungsinstitut Oberwolfach.
(with Yue Ren and Johannes W. R. Martini) Uber die Anzahl entkoppelter Moleküle mit demselben Bindepolynom, Computeralgebra Rundbrief Nr. 62, 03.2018.
Generalized LakshmibaiSeshadri galleries, Oberwolfach Reports 52/2018, Mathematisches Forschungsinstitut Oberwolfach ( preliminary version).
Other things
My PhD thesis: The symplectic plactic monoid, words, MV cycles, and nonLevi branchings.
Some very rough notes I took from the course "Representation Theory II" which was taught by Catharina Stroppel in Bonn, 2011. The course covered the structure, classification and representation theory of complex semisimple Lie algebras.
I keep a reading diary here. And here is a photo of me.