JOSÉ AGAPITO CURRICULUM VITAE 1 Contact Information Instituto Superior Técnico Departamento de Matemática Av. Rovisco Pais 1049-001 Lisboa PORTUGAL Phone: Fax: Email: URL: (+351) 21 841 7036 (+351) 21 841 7035 [email protected] http://www.math.ist.utl.pt/∼agapito Born: June 11, 1971, Perú Married with two children Research Interest: Symplectic Geometry and Discrete Mathematics My current research focuses on some areas of symplectic geometry and combinatorics, such as Hamiltonian T-spaces, toric varieties, polygon spaces, equivariant cohomology, lattice point counts, polytope decompositions and symplectic circle actions on manifolds of dimension six and higher. Papers and Preprints (1) A weighted version of quantization commutes with reduction for a toric manifold. Contemporary Mathematics, 374, pp. 1-14 (2005). Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra. (July 13-17, 2003, Snowbird, Utah). ArXiv:math.SG/0307318. (2) The weighted Euler-Maclaurin formula for a simple integral polytope. Co-author: Jonathan Weitsman. Asian Journal of Mathematics, 9 (2), pp. 199-212 (2005). ArXiv:math.CO/0411457. (3) Weighted Brianchon-Gram decomposition. Canadian Mathematical Bulletin, 49 (2), pp. 161-169 (2006). ArXiv:math.CO/0503322. (4) New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes. Co-author: Leonor Godinho. Advances in Mathematics, 214 (1), pp. 379-416 (2007). ArXiv:math.CO/0512475. (5) Intersection numbers of polygon spaces. Co-author: Leonor Godinho. Accepted for publication in the Trans. AMS. ArXiV: math.SG/0709.2097. (6) Decomposition of non-simple polytopes. Co-author: Leonor Godinho. In preparation. Education 9/99 - 12/04 University of California at Santa Cruz (UCSC). Santa Cruz, USA. Thesis: Weighted polytope decompositions and applications. Advisor: Jonathan Weitsman. Ph.D in Mathematics. JOSÉ AGAPITO 10/97 - 9/98 CURRICULUM VITAE International Center for Theoretical Physics (ICTP). Trieste, ITALY. 2 Diploma in Mathematics. Thesis: The Theory of the Poincaré Index. Advisor: Giovanni Vidossich. 8/95 - 6/97 Pontificia Universidad Católica del Perú (PUCP). Lima, PERÚ. Master in Mathematics. Thesis: Existencia de soluciones periódicas de una ecuación hamiltoniana particular. Advisor: Alfredo Poirier. 3/89 - 12/95 PUCP. Bachelor in Mathematics. Academic and Selected Teaching Activities 9/07 2/05 7/04 7/03 9/02 6/02 9/99 3/99 3/99 - Instructor of Mathematics, Universidade Nova de Lisboa , PORTUGAL. Postdoctoral Fellow, Instituto Superior Técnico de Lisboa, PORTUGAL. 8/04 Summer Instructor of Mathematics, University of California at Santa Cruz, U.S.A. 8/03 Summer Instructor of Mathematics, University of California at Santa Cruz, U.S.A. 3/03 Math Graduate Colloquium Organizer, University of California at Santa Cruz, U.S.A. 7/02 Summer Instructor of Mathematics, University of California at Santa Cruz, U.S.A. 12/04 Teaching Assistant, University of California at Santa Cruz, U.S.A. 8/99 Instructor of Mathematics, Pontificia Universidad Católica del PERÚ. 8/99 Instructor of Mathematics, Colegio América (Callao High School), PERÚ. Fellowships and Awards 2/05 1/04 - 4/04 3/03 - 6/03 3/00 - 6/00 10/97 - 10/98 Bolsa de Pós-Doutoramento, FCT, PORTUGAL UC Doctoral Student Sabbatical Fellowship, U.S.A. UC Regents Fellowship, U.S.A. UC Regents Fellowship, U.S.A. UNESCO Scholarship, ICTP Diploma Programme, ITALY Selected Invited Talks 8/07 Conferencia Internacional de Matemáticas PUCP. Pontificia Universidad Católica, Lima, PERÚ. “Fórmulas de localización y descomposición de polı́topos”. 6/07 Charlas de Matemática. Universidad Nacional del Sur, Bahı́a Blanca, ARGENTINA. “Fórmulas de localización y descomposición de polı́topos”. 12/06 XVI Encuentro Rioplatense de Álgebra y Geometrı́a Algebraica Universidad de Buenos Aires ARGENTINA. “Enfoque simpléctico de las variedades tóricas”. 6/06 AMS, IMS, SIAM Joint Summer Research Conferences, Integer points in polyhedra, Geometry, Number Theory, Rep. Theory, Algebra, Optimization, Statistics, Utah, USA. “Paradan localization formula and polytope decompositions”. JOSÉ AGAPITO CURRICULUM VITAE 3 12/05 Seminario de Matemáticas. Universidad de Cantabria, Santander, SPAIN. “Various polytope decompositions and Euler Maclaurin formulas with remainder”. 10/05 Geometria em Lisboa Seminar. Instituto Superior Técnico de Lisboa, PORTUGAL. “Paradan polytope decompositions and Euler Maclaurin formulas for simple integral polytopes”. 4/05 Geometria em Lisboa Seminar. Instituto Superior Técnico de Lisboa, PORTUGAL. “Weighted polytope decompositions, toric varieties and Euler Maclaurin formulas”. 12/03 Differential Geometry related talk. Mathematical Sciences Research Institute, Berkeley, USA. “Weighted polar decomposition of integral simple polytopes and applications”. 9/03 Geometria em Lisboa Seminar. Instituto Superior Técnico de Lisboa, PORTUGAL. “A weighted version of quantization commutes with reduction for a toric manifold”. 7/03 AMS, IMS, SIAM Joint Summer Research Conferences, Integer points in polyhedra. Geometry, Number Theory, Rep. Theory, Algebra, Optimization, Statistics, Utah, USA. “Weighted lattice-point count for simple polytopes”. Selected Conferences Attended 8/07 7/07 - 8/07 5/06 - 6/06 8/05 8/04 7/04 3/04 4/02 11/01 4/99 - 5/99 7/95 Conferencia Internacional de Matemáticas, Lima, PERÚ. XXVI Brasilian Colloquium of Mathematics, IMPA, Rio de Janeiro, BRASIL. International Conference on Toric Topology, Osaka, JAPAN. Algebraic and Geometry Combinatorics Conference, Anogia, GREECE. Moments maps and Surjectivity in Various Geometries, AIM, Palo Alto, USA. Geometric Combinatorics, IAS Park City Mathematics Institute, Snowbird, USA. Symplectic Geometry and Mathematical Physics, MSRI, Berkeley, USA. Conference in Symplectic Geometry, MIT, Boston, USA. Mt. Baldy Conference on Differential Geometry, Harvey Mudd College, Claremont, USA. Workshop in Differential Geometry, ICTP, Trieste, ITALY. XX Brasilian Colloquium of Mathematics, IMPA, Rio de Janeiro, BRASIL. Other interests and Key strengths Fluent user of Windows (all versions), LATEX, PSTricks and HTML. Familiarity with: Mathematica, Maple, WinBUGS, R, Excel, Microsoft Word. Languages: Spanish (native), English (very good), Portuguese (good) and Italian (intermediate). References (in alphabetical order) Viktor L. Ginzburg. Associate Professor. Department of Mathematics. University of California at Santa Cruz. Email: [email protected] Leonor Godinho. Professor Auxiliar. Departamento de Matemática. Instituto Superior Técnico de Lisboa. JOSÉ AGAPITO CURRICULUM VITAE Email: [email protected] Victor Guillemin. Professor of Mathematics. Department de Mathematics. Massachusetts Institute of Technology. Email: [email protected] Jonathan Weitsman. Associate Professor. Department of Mathematics. University of California at Santa Cruz. Email: [email protected] Other references (in alphabetical order) Julio Alcántara. Profesor Principal. Sección de Matemáticas. Pontificia Universidad Católica del Perú. Email: [email protected] Charles Chidume. Professor of Mathematics. Area of Mathematics. Abdus Salam International Center for Theoretical Physics. Trieste, Italy. Email: [email protected] Alfredo Poirier. Profesor Principal. Sección de Matemáticas. Pontificia Universidad Católica del Perú. Email: [email protected] Hirotaka Tamanoi. Associate Professor. Department of Mathematics. University of California at Santa Cruz. Email: [email protected] 4