Prof. Amnon Besser
Born: 1967, Israel
Academic Qualifications:
    Ph.D. , 1993, Tel Aviv University, Tel Aviv University
    Prof. , 2005, Ben-Gurion University, Mathematics
Academic Positions:
Department of Mathematics - Associate Professor
Research Interests:
Number theory. Arithmetic geometry. p-adic cohomology. Shimura varieties. Automorphic forms. Algebraic cycles, Algebraic K-theory.
Research Projects:
Explicit computations of syntomic regulators using Coleman p-adic integration, Generalizations of p-adic integration. Development of p-adic Arakelov theory. Algorithms for computation of Coleman integrals and p-adic height pairings
Abstracts of Current Research:
  • Computation of p-adic height pairings on curves: We describe an algorithm for computing p-adic height pairings on hyperelliptic curves. We follow the definition of the height pairing given by Coleman and Gross. The key ingredients are our algorithm for computing Coleman integrals, our theory of local indices on curves and a method of computing the local height pairing away from p similar to the definition of the canonical height by Tate.
  • The syntomic regulator for K-theory of surfaces: We write a formula for the syntomic regulator of certain elements in the first algebraic K-theory group of an algebraic surface over a p-adic field. The formula involves the use of our theory of tripple indices and the proof uses our work on finite polynomial cohomology
Publications:
  • Besser, A. & de Jeu, R.. Li(p)-service? An algorithm for computing p-adic polylogarithms Mathematics of computation 77: 1105--1134 (2008)
  • Besser, A.. A short proof of de Shalit''s cup product formula Israel Journal of Mathematics 151: 53-59 (2006)
  • Besser, A. & Furusho, H.. The double shuffle relations for p-adic multiple zeta values Contemporary Mathematics 416: 9-30 (2006)
  • Besser, A.. p-adic Arakelov theory Journal of number theory 111: 318-371 (2005)
  • Besser, A.& de Jeu, R.. The syntomic regulator for the K-theory of fields. Annales Scientifiques de L`ecole normale superieure. 36: 867-924 (2003)
  • Besser, A.. Coleman integration using the Tannakian formalism Mathematische Annalen 322: 19-48 (2002)
  • Besser, A.. Syntomic regulators and p-adic integration II: K_2 of curves. Israel Journal of Mathematics. 120: 335-360 (2000)
  • Besser, A. A generalization of Coleman's p-adic integration theory Inventiones Mathematicae 142: 397-434 (2000)
Keywords:syntomic regulators, Coleman integration.
Phones:
  1. Phone: 972-8-6477861
  2. Phone: 972-77-4052245
  3. Fax: 972-8-6472910
Email:bessera@math.bgu.ac.il