Education
1985 Licenciatura en Ciencias Matemáticas. Universidad de Buenos Aires.
1990 Ph.D. Mathematics. The Ohio State University (Advisors: W. Sinnott and K. Rubin).
Language Skills
- Spanish (native speaker)
- English (fluent)
- Italian (fluent)
- French (intermediate)
Positions
- 1990-1991 Member of the Institute for Advanced Study, Princeton.
- 1991-1993 Princeton University, Instructor.
- 1993-1997 Princeton University, Assistant Professor.
- 1997-1999 University of Texas at Austin, Assistant Professor
- 1999-2005 University of Texas at Austin, Associate Professor.
- 2005-2012 University of Texas at Austin, Full Professor.
- 2012-2013 Senior Research Scientist, ICTP.
- 2014-2017 Head of the Mathematics Section, ICTP.
- 2018-2024 Senior Research Scientist, ICTP.
- 2024-Present Emeritus Professor, ICTP
Visiting Positions
- 1994-1995 Max Planck Institut für Mathematik, Bonn, Germany.
- March 1994 Université de Bordeaux I, France, Visiting Professor.
- March 1995 Universidad de Buenos Aires, Argentina, Visiting Professor.
- June 1996 Universidad de Buenos Aires, Argentina, Visiting Professor.
- June 1998 Universidad de Buenos Aires, Argentina, Visiting Professor.
- June 1999 Universidad de Buenos Aires, Argentina, Visiting Professor.
- June 2000 Université de Bordeaux I, France, Visiting Professor.
- Fall 2001 Harvard University, Visiting Scholar.
- Spring 2002 Harvard University, Visiting Associate Professor.
- Nov. 2004 Université de Paris VI, Visiting Professor.
- July 2005 CRM, Barcelona, Catalonia, Spain, visitor.
- June 2008 Universidad de Buenos Aires, Argentina, Visiting Professor.
- April 2010 CRM, Barcelona, Catalonia, Spain, visitor.
- 2009-2010 Visiting scholar, Oxford University, (EPSRC grant of T. Hausel).
- Fall 2009 Visiting Fellow, All Souls College, Oxford, UK.
- Spring 2010 Visiting Fellow, Wadham College, Oxford, UK.
- July 2012 Member IHES, Paris, France.
- Spring 2018 Periods in Number Theory, Algebraic Geometry and Physics, Hausdorff Institute of Mathematics, Bonn, Germany
- Nov 2019 FIM, ETH Zürich, Switzerland, one-week visit.
- Spring 2020 Thematic trimester program on Representation theory. Institut Henri Poincaré, Paris, visitor.
Books
Experimental Number Theory Oxford Graduate Texts in Mathematics, 13. Oxford University Press, Oxford, 2007. xvi+214 pp. ISBN: 978-0-19-922730-3
Selected Invited Lectures
April 2000. Invited address, Periods, L-functions, and Arithmetic, 2000 Southeastern Section Meeting AMS, Lafayette, LA, USA.
Spring 2001. Clay Mathematical Institute Millennium Lectures, The Birch-Swinnerton–Dyer Conjecture, UT Austin.
March 2007. The Ivan and Betty Niven Distinguished Lectures, Combinatorics as Geometry (Math Colloquium), Puzzles and Groups (Student Lecture), Univ. of British Columbia, Vancouver, Canada.
Aug 2013. Invited speaker, Combinatorics and geometry, Mathematics Congress of the Americas, Guanajuato, Mexico.
Oct 2013. Invited speaker, The Birch-Swinnerton-Dyer Conjecture: a Status Report, Clay Mathematics Institute Conference, Oxford.
May 2015. Invited speaker, Hypergeometric Motives, conference Arithmetic Algebraic Geometry, in honor of Professor Nicholas Katz’s 71st birthday. Academy of Mathematics and Systems Science, the Chinese Academy of Sciences, Beijing, China.
June 2015. Invited speaker, Geometry of Character Varieties, International Conference in Number Theory and Physics, IMPA, Rio de Janeiro, Brazil.
April 2018. Beeger Lecture, Hypergeometric Motives, Dutch Mathematical Congress, The Netherlands.
April 2018. Maxson Lectures, Hypergeometric Functions and L-series, Combinatorics and Geometry, Texas A&M University, Texas, USA.
Nov 2018. Arf Lecture, Combinatorics and Geometry, Middle East Technical University, Ankara, Turkey.
Oct 2024. P=W workshop, Clay Mathematical Institute, Oxford University, UK.