Prof. Amnon Besser

Picture of Amnon Besser
Address
Department of Mathematics
Ben Gurion University
Be’er Sheva 84105
Israel
  • Phone: +972-8-6477861
  • Fax: +972-8-6477648
  • E-mail: bessera at math.bgu.ac.il
  • Room NO.: 212
  • Office hours: Wednesday 10-12
Education
  • B.Sc. : Tel Aviv University 1985
  • M.Sc. : Tel Aviv University 1987
  • Ph.D. : Tel Aviv University 1993

Research

New: Research projects

Research Interests: Number theory, Arithmetic geometry, p-adic integration, p-adic cohomology, Shimura varieties, Automorphic forms, Algebraic cycles, Algebraic K-theory.

List of publications from mathscinet (requires mathscinet authorization)

Research profile

Research Group: Number Theory and Algebraic Geometry

References

[1]
A. Besser, CM cyles over Shimura curves, Journal of Algebraic Geometry 4 (1995) 659–693.
[2]
A. Besser, On the Kolyvagin cup product, Trans. Amer. Math. Soc. 349 (11) (1997) 4635–4657.
[3]
A. Besser, On the finiteness of Sh for motives associated to modular forms, Doc. Math. 2 (1997) 31–46 (electronic).
[4]
A. Besser, Elliptic fibrations of K3 surfaces and QM Kummer surfaces, Math. Z. 228 (2) (1998) 283–308.
[5]
A. Besser, A simple approach to geometric realization of simplicial and cyclic sets, preprint (1998).
[6]
A. Besser, Sets of integers with large trigonometric sums, Astérisque (258) (1999) xi, 35–76, structure theory of set addition.
[7]
A. Besser, C. Deninger, p-adic Mahler measures, J. Reine Angew. Math. 517 (1999) 19–50.
[8]
A. Besser, A generalization of Coleman’s p-adic integration theory, Inv. Math. 142 (2) (2000) 397–434.
[9]
A. Besser, Syntomic regulators and p-adic integration I: rigid syntomic regulators, Israel Journal of Math. 120 (2000) 291–334.
[10]
A. Besser, Syntomic regulators and p-adic integration II: K2 of curves, Israel Journal of Math. 120 (2000) 335–360.
[11]
A. Besser, Finite and p-adic polylogarithms, Compositio Math. 130 (2) (2002) 215–223.
[12]
A. Besser, Coleman integration using the Tannakian formalism, Math. Ann. 322 (1) (2002) 19–48.
[13]
A. Besser, P. Moree, On an invariant related to a linear inequality, Arch. Math. (Basel) 79 (6) (2002) 463–471.
[14]
A. Besser, R. de Jeu, The syntomic regulator for the K-theory of fields, Ann. Sci. École Norm. Sup. (4) 36 (6) (2003) 867–924.
[15]
A. Besser, The p-adic height pairings of Coleman-Gross and of Nekovář, in: Number Theory, Vol. 36 of CRM Proceedings & Lecture Notes, American Mathematical Society, 2004, pp. 13–25.
[16]
A. Besser, p-adic Arakelov theory, J. Number Theory 111 (2) (2005) 318–371.
[17]
A. Besser, H. Furusho, The double shuffle relations for p-adic multiple zeta values, in: Primes and knots, Vol. 416 of Contemp. Math., Amer. Math. Soc., Providence, RI, 2006, pp. 9–29.
[18]
A. Besser, A short proof of de Shalit’s cup product formula, Israel J. Math. 151 (2006) 53–59.
[19]
A. Besser, R. de Jeu, Li(p)-service? An algorithm for computing p-adic polylogarithms, Math. Comp. 77 (262) (2008) 1105–1134.
[20]
A. Besser, P. Buckingham, R. de Jeu, X.-F. Roblot, On the p-adic Beilinson conjecture for number fields, Pure Appl. Math. Q. 5 (1, part 2) (2009) 375–434.
[21]
A. Besser, On the syntomic regulator for K1 of a surface, Israel Journal of Mathematics 190 (2012) 29–66.
[22]
A. Besser, R. de Jeu, The syntomic regulator for K4 of curves, Pacific Journal of Mathematics 260 (2) (2012) 305–380.
[23]
A. Besser, Heidelberg lectures on Coleman integration, in: J. Stix (Ed.), The Arithmetic of Fundamental Groups, Vol. 2 of Contributions in Mathematical and Computational Sciences, Springer Berlin Heidelberg, 2012, pp. 3–52.
[24]
A. Besser, R. Livne, Universal kummer families over shimura curves, in: R. Laza, M. Schütt, N. Yui (Eds.), Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds, Vol. 67 of Fields Institute Communications, Springer New York, 2013, pp. 201–265. doi:10.1007/978-1-4614-6403-7_7.
[25]
J. Balakrishnan, A. Besser, Computing local p-adic height pairings on hyperelliptic curves, IMRN 2012 (11) (2012) 2405–2444.
[26]
A. Besser, On the derivative of a normal function associated with a Deligne cohomology class, in: Regulators (Barcelona, 2010), Vol. 571 of Contemp. Math., Amer. Math. Soc., Providence, R.I., 2012, pp. 33–44.
[27]
A. Besser, On differential Tannakian categories and Coleman integration, preprint (2011).
[28]
J. Balakrishnan, A. Besser, Coleman-Gross height pairings and the p-adic sigma function, to appear in Crelle (2013).
[29]
A. Besser, R. Livne, Picard-Fuchs equations of families of QM abelian surfaces, preprint (2012).
[30]
J. Balakrishnan, A. Besser, J. S. Müller, Quadratic chabauty: p-adic heights and integral points on hyperelliptic curves, to appear in Crelle.
[31]
A. Besser, F. Escriva, R. de Jeu, Frobenius lifts and point counting for smooth curves, preprint (2013).

Transparencies from lectures I have given

Teaching

Semester ASemester B
  • 201-1-9811 Differential and Integral Calculus 1 for EE

Family

Other things