Tiago Dinis da Fonseca

Posdoctoral researcher at Montreal
Centre de Recherches Mathématiques
Université de Montréal

Contact:

Postal address: CRM; UdeM; Case postale 6128, Succursale Centre-ville; Montréal (Québec) H3C 3J7
Street: 2920, Chemin de la tour
Office: 4343, Pavillon André-Aisenstadt
Phone: (+1) 514 343 6111 #4732
E-mail: fonsecat _at_ crm.umontreal.ca

Interests:

• Algebraic and Enumerative Combinatorics:
  • Plane Partitions
  • Fully Packed Loops
  • Alternating Sign Matrices
• 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-...: Posdoc at Montreal, under supervision of Marco Bertola, John Harnad and Jacques Hurtubise.

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 ArXiv:

• On some polynomials enumerating Fully Packed Loops configurations, evaluation at negative values

In preparation:

• Higher Spin 6-Vertex model and Macdonald polynomials, with Ferenc Balogh

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

• Alternating Sign Matrices, Loop Models and Plane Partitions