Home | deutsch  |  Impressum  |  Data Protection  |  Sitemap  |  Intranet  |  KIT
Research Group Metric Geometry

Secretariat
Kollegiengebäude Mathematik (20.30)
Room 1.014

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

Office hours:
Montag - Freitag
10:00 - 11:30 Uhr

Tel.: +49 721 608 42059

Fax.: +49 721 608-42148

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 1135/1-1.

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 1-2, 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), 577-591.

The symplectic plactic monoid, crystals, and MV cycles, Pacific J. Math. 286 (2017), no. 2, 439-497.

On a conjecture by Naito-Sagaki: Littelmann paths and Littlewood-Richardson Sundaram tableaux, Seminaire Lotharingien de Combinatoire, 78B.53 (2017) (Extended Abstract for FPSAC 2017, presented as a poster).

A non-Levi 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/s00285-018-1295-x, 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

Non-Levi 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 Lakshmibai-Seshadri galleries, Oberwolfach Reports 52/2018, Mathematisches Forschungsinstitut Oberwolfach ( preliminary version).

Other things

My PhD thesis: The symplectic plactic monoid, words, MV cycles, and non-Levi 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 semi-simple Lie algebras.

I keep a reading diary here. And here is a photo of me.