José Burillo Associate Professor Departament de Matemàtica Aplicada IV Universitat Politècnica de Catalunya Escola Politècnica Superior de Castelldefels Avda. Del Canal Olímpic, 15 08860 Castelldefels (Barcelona) Phone: +34-93-413-7075 Fax: +34-93-413-7007 E-mail: burillo@ma4.upc.edu

Versió en Català

Conferences

Past Barcelona Weekends:

• Third Barcelona Weekend in Group Theory April 26th, 2008
• Second Barcelona Weekend in Group Theory May 4th and 5th, 2007
• Barcelona Weekend in Group Theory May 12th and 13th, 2006

Other past conferences:

• Geometric and Asymptotic Group Theory with Applications August 31st to September 4th, 2006
• Advanced Course in The Geometry of the Word Problem for finitely presented groups July 5th to 15th, 2005
• Barcelona Conference in Geometric Group Theory June 28th to July 2nd, 2005
• Special Session in Geometric Methods in Group Theory June 18th to 21st, 2003

Papers

• Metric properties of the higher-dimensional Thompson's group, in preparation.


• Commensurations and finite-index subgroups of Thompson's group F, Geom. Topol. 12 (2008), 1701-1709. Joint with S. Cleary and C. Röver.


• Metric properties in the braided Thompson's groups, joint with S. Cleary, to appear in Indiana University Mathematics Journal


• Biorderings on pure braided Thompson's groups, Q. J. Math 59 (2008), 1-14. Joint with J. González-Meneses.


• Pure braid subgroups of braided Thompson's groups, Publ. Mat. 52 (2008), 57-89. Joint with T. Brady, S. Cleary and M. Stein.


• Growth of positive words and lower bounds of the growth rate for Thompson's groups F(p), joint with V. Guba, to appear in Journal of Group Theory


• Combinatorial and metric properties of Thompson's group T, joint with S. Cleary, M. Stein and J. Taback, to appear in Transactions of the AMS


• Computational explorations in Thompson's group F., joint with S. Cleary and B. Wiest, In Geometric Group Theory, proceedings from Geneva and Barcelona, Birkhäuser, 2007


• Quasi-potency and cyclic subgroup separability. J. Algebra 208 (2006), 188-207. Joint with A. Martino.


• Uniform non-amenability. Adv. Math. 197 (2005), 499-522. Joint with G. Arzhantseva, M. Lustig, L. Reeves, H. Short and E. Ventura


• Growth of positive words in Thompson's group F. Comm. Algebra 32 (2004), 3087-3094.


• Equivalence of combinatorial and geometric Dehn function. New York J. Math. 8 (2002), 169-179. Joint with J. Taback.


• Counting primitive elements in free groups. Geom. Dedicata 93 (2002), 143--162. Joint with E. Ventura.


• Crossing Matrices and Thurston's normal form for braids. Topology Appl. 118 (2002), 293-308. Joint with M. Gutiérrez, S. Krstic and Z. Nitecki.


• Metrics and embeddings of generalizations of Thompson's group F. Trans. Amer. Math. Soc. 353 (2001), 1677-1689. Joint with S. Cleary and M. Stein.


• Quasi-isometrically embedded subgroups of Thompson's group F. J. Algebra 212 (1999), 65-78.


• Dimension and fundamental groups of asymptotic cones. J. London Math. Soc. (2) 59 (1999), 557-572.


• Lower bounds for isoperimetric functions for nilpotent groups. In Geometric and Computational perspectives on infinite groups (Minneapolis, MN and New Brunswick, NJ, 1994), 1-8, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 25, Amer. Math. Soc., Providence, RI, 1996.


• El polinomio de Poincaré-Hodge de un producto simétrico de variedades kählerianas compactas. Collect. Math. 41 (1990), 59-69.