Tiago Dinis da Fonseca

Posdoctoral researcher at Annecy
Laboratoire d'Annecy-le-Vieux de Physique Théorique
Université de Savoie
CNRS

Contact:

Postal address: LAPTh; BP 110; 74941 Annecy-le-Vieux (France)
Street: 9, Chemin de Bellevue
Office: 4.018
Phone: (+33) (0) 50 09 17 95
E-mail: tiago.dinis _at_ lapth.cnrs.fr

Interests:

• Algebraic and Enumerative Combinatorics:
  • Plane Partitions
  • Fully Packed Loops
  • Alternating Sign Matrices
• Classical Integrable Systems
• Quantum Integrable Systems
• Symmetric polynomials
• Grassmann manifolds

Education:

• Up to 2002: I studied in the public schools of my city Marco de Canaveses up to my entrance at University.
• 2002-2006: B.Sc. in Physics at Faculdade de Ciências da Universidade do Porto.
• 2005-2006: Project with João Lopes dos Santos about Graphene.
• 2006-2007: Second year of the M.Sc. "Concepts Fondamentaux de la Physique", "Physique théorique", at École Normale Supérieure, Université Pierre et Marie Curie, École Polytechnique and Université Paris-Sud.
• 2007-2010: Ph.D. under supervision of Paul Zinn-Justin in Combinatorics and Quantum Integrable Systems, at Laboratoire de Physique Théorique et Hautes Énergies of Université Pierre et Marie Curie.
• 2010-2012: Posdoc at the Centre de Recherches Mathématiques at Montreal, under supervision of Marco Bertola, John Harnad and Jacques Hurtubise.
• 2012-...: Postdoc at LAPTh, under supervision of Eric Ragoucy and Jean Avan.

Teaching:

• Fall 2011: MAT1903 - Differential and integral calculus, at Université de Montréal
• Winter 2012: MAT1903 - Differential and integral calculus, at Université de Montréal

Publications:

Published articles:

• On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions, with Paul Zinn-Justin
• On some ground state components of the O(1) loop model, with Paul Zinn-Justin
• On some polynomials enumerating Fully Packed Loops configurations, with Philippe Nadeau
• On some polynomials enumerating Fully Packed Loops configurations, evaluation at negative values

Accepted:

• Higher spin polynomial solutions of quantum Knizhnik-Zamolodchikov equation, with Paul Zinn-Justin
• Temperley-Lieb R-matrices from generalized Hadamard matrices, with Jean Avan, Luc Frappat, Petr Kulish, Eric Ragoucy and Geneviève Rollet

Submitted:

• Higher spin generalization of the 6-vertex model and Macdonald polynomials, with Ferenc Balogh

In preparation:

• Finite Dimensional tau-Functions, with John Harnad and Ferenc Balogh

My PhD thesis (with a portuguese and french summaries):

• Alternating Sign Matrices, Loop Models and Plane Partitions