Andrea Jiménez Ramírez

Departamento de Ingeniería Matemática

Universidad de Chile

Blanco Encalada 2120, 5to. piso
Santiago, CHILE
email: ajimenez at dim.uchile.cl
download my CV

About me

I am a Ph.D. Candidate at the Department of Mathematical Engineering of the University of Chile. My advisors are: Dr. Marcos Kiwi and Dr. Martin Loebl.

Research Interests

My research interests are centered on discrete mathematics and related fields. I have a great interest in graph embeddings, particularly in embeddings with no dual loop and the directed cycle double cover conjecture. In addition, I'm extremely interested in the Ising model on triangulations of closed Riemann surfaces, its generalizations and associated problems. The last, is motivated by physical reasons and the link between discrete mathematics and statistical physics.

Publications and Preprints

Non-degenerated groundstates in the antiferromagnetic Ising model on triangulations. Arxiv's preliminary version
(Joint work with M. Kiwi) Computational Hardness of Enumerating Satisfying Spin-Assignments in Triangulations. Arxiv's preliminary version
(Joint work with M. Kiwi) Antiferromagnetic Ising model in triangulations with applications to counting perfect matchings. Arxiv's preliminary version
(Joint work with M. Kiwi and M. Loebl) Satisfying States of triangulations of a Convex n-gon. Published in Volume 17 (1) of The Electronic Journal of Combinatorics, March 2010.

Conference Proceedings

(Joint work with M. Kiwi) Counting perfect matchings of cubic graphs in the geometric dual (Extended Abstract). Proceedings LAGOS'11, Electronic Notes in Discrete Mathematics 37, 2011, 225-230.
(Joint work with A. Granada, M. Curé and L. Cidale) Bistability rotating radiation driven wind for B[e] Supergiants: the oblate finite cone angle correction factor. Published in RevMexAA (Serie de Conferencias), March 2010.

Talks

Title: Computational Hardness of Enumerating Satisfying Spin-Assignments in Triangulations. Presented at Prague Midsummer Combinatorial Workshop XVII, Czech Republic. July 2011. download slides here!
Title: Counting perfect matchings of cubic graphs in the geometric dual. Presented at the VI Latin-American Algorithms, Graphs and Optimization Symposium (LAGOS'11). download slides here!
Title: Perfect matchings and satisfying states. Presented at (Pre-)Doc-Course: Probabilistic and Enumerative Combinatorics. Berlin, Germany. October-November 2010.

Bachelor Thesis 2007 (University of Valparaíso)

Title: Un Algebra de Hecke para Grupos Finitos con BN -par. download pdf! My advisor was Dr. Daniel Jiménez.