Benoît BERTRAND
Université de Genève
SECTION DE MATHÉMATIQUES
2-4, rue du Lièvre
Case postale 64
1211 Genève 4
Suisse

e-mail:

benoit.bertrand@math.unige.ch

Positions - Teaching Experience

• Max Planck Institut für Mathematik (Aug. 2006 - Sept. 2006) invited

• Université de Genève (Oct. 2005 - Sept. 2007) assistant docteur

• Max Planck Institut für Mathematik (July 2005 - Sept. 2005) postdoc

• Universidad Complutense de Madrid (Oct. 2004 - June 2005)
  postdoc (Real Algebraic and Analytic Geometry European Network)

• Mathematical Sciences Research Institute, Berkeley, CA, USA
  postdoc, (Jan. 2004 - May 2004)

• Università di Pisa, Italy
  RAAG postdoc, (Sept. 2003 - Dec. 2003 and June, July 2004)

• Birzeit University, Birzeit, Palestine (Sept. 2002 - June 2003)
  lecturer : calculus I, linear algebra, Euclidean and non-Euclidean geometry
  (all lectures in English)

• University of Rennes 1, France
  ATER (lecturer-researcher), (Sept. 2001 - August 2002)
  Maple programming, mathematics for primary school teachers.

• IUT Rennes 1 (Institute of technology)
  Mathematics Lecturer (Sept. 1999 - June 2001)
  Linear Algebra, Calculus, differential equations ...

Publications

in preparation, 2007.

Education

• University of Rennes 1, France
  Ph.D. in mathematics and applications (defence Dec. 2002)
  Dissertation: Maximal hypersurfaces and complete intersections in toric varieties
  Adviser: Ilia Itenberg

• University of Rennes 1, France
  Master (D.E.A.) in mathematics and applications (1998)

• University of Rennes 1, France
  Magistère in mathematics and computer science (mathématiques et modélisation informatique) (1998)

• University of Rennes 1, France
  Bachelor (Maîtrise) in mathematics (1997)

Conference talks

• Tropical meeting, Madrid, March 2007.
  Organizer : M.-J. de La Puente.
• Real algebraic geometry, Oberwolfach, March 2007.
  Organizers : M. Coste, C. Scheiderer and N. Schwartz.
• Small dimensional topology and real algebraic curves, La LLagone, January 2007.
  Organizer : T. Fiedler.
• Journées de géométrie, Strasbourg, Septembre 2006.
  Organizers : I. Itenberg and V. Kharlamov.
• Tropical geometry summer school, Paris, July 2006 (2 exposés).
  Organizers : J.-J Risler and B. Teissier.
• RAAG 2005, Passau, Septembre 2005.
  Organizers : T. Kaiser, M. Tressl, M. Knebusch and N. Schwartz.
• MEGA 2005, Alghero, Sardinia, May 2005.
  Organizers : C. Traverso, A. Dickenstein, A. Galligo, P. Gianni, M. Giusti, T. Mora, T. Recio and J. Schicho.
• annuel congress of the RAAG Network, Salamanca, June 2004.
  Organizers : A. Diaz Cano, M.-E. Alonso, C. Andradas, J.M. Ruiz, T. Recio and N. Schwartz.
• MSRI workshop on applications of real algebraic geometry, April 2004.
  Organizers : L. Gonzalez-Vega, V. Powers, and F. Sottile.

Mini-courses

I often gave series of talks or lectures for mathematicians on tropical geometry.

Tropical geometry

• Mini course, Rencontres mathématiques de Glanon, July 2007
  Introduction to tropical geometry and correspondence theorems.
• Mini course: tropical enumerative Geometry, Genève 2005-2006.
• Lectures : Introduction to tropical geometry, (12 talks). Complutense Seminar, Madrid 2004-2005.
• Series of talks in postdoc seminar, MSRI, semester on topological aspects of real algebraic geometry, January-May 2004.
• Series of talks on tropical geometry, Università di Pisa, October-December 2003.

Other mini-courses

• Viro Method, Genève 2006.
• Mini course on toric varieties young researchers in geometries Rennes 2001
• Orevkov Braid method young researchers in geometries Rennes 2002.

Other presentations

Talks in Universities and Institutes' seminars

• Toulouse, Chambery, Madrid, Geneva, Marseille, Paris ...
• MPIM, oberseminar Topologie.
• MSRI, postdoc seminar.

Other talks on my results

• Rennes 1 University seminar , June 2002

• Several presentations in the low dimensional topology seminar at Rennes 1 University.

• Several talks in PhD students' conferences (La Baule 2001, Dinard 2002)

Combinatorial patchworking (combinatorial Viro method)

• BirZeit University, November 2002.

• Winter school of Toulouse University, La LLagone 2000.

• PhD students seminar, Rennes.

Rennes 1 seminar on low dimensional topology

• Smith Theory (2 talks)
• Complex orientations of real algebraic surfaces (following O. Viro, 2 talks)
• hypersurfaces in projective space (following O. Viro, 3 talks)

• Amoebas and $M$-curves in maximal position (following Mikhalkin, 1 talk).

Other talks

Conferences and schools attended

• Tropical meeting, Madrid, March 2007.
• Real algebraic geometry, Oberwolfach, March 2007.
• Small dimensional topology and real algebraic curves, La LLagone, January 2007
• Journée de Géométrie, Strasbourg, September 2006.
• Tropical geometry summer school, Paris, July 2006.
• Extreme forms of real algebraic varieties, AIM, Palo Alto, California, April 2006.
• Topology of Real Algebraic Varieties; Semi-algebraic, Subanalytic and o-minimal Geometries, IHP, Paris, December 2005.
• RAAG annual meeting, Passau, September 2005.
• Mega 2005, Alghero, May 2005.
• RAAG annual meeting, Salamanca, June 2004.
• MSRI 2004, 3 workshops on topological aspects of real algebraic varieties and applications.
• Tropical geometry, American Institute of Mathematics, October 2003.
• Grenoble July 2000 - summer school on toric varieties.
• RAAG summer school in Trento, June 2000.
• La Llagone, Febuary 2000.

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