Prof. Amnon Besser

Picture of Amnon Besser
Department of Mathematics
Ben Gurion University
Be’er Sheva 84105
  • Phone: +972-8-6477861
  • Fax: +972-8-6477648
  • E-mail: bessera at
  • Room NO.: 212
  • Office hours: By appointement
  • B.Sc. : Tel Aviv University 1985
  • M.Sc. : Tel Aviv University 1987
  • Ph.D. : Tel Aviv University 1993


New: Research projects

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


A. ‍Besser, CM cyles over Shimura curves, Journal of Algebraic Geometry 4 (1995) 659–693.
A. ‍Besser, On the Kolyvagin cup product, Trans. Amer. Math. Soc. 349 ‍(11) (1997) 4635–4657.
A. ‍Besser, On the finiteness of Sh for motives associated to modular forms, Doc. Math. 2 (1997) 31–46 (electronic).
A. ‍Besser, Elliptic fibrations of K3 surfaces and QM Kummer surfaces, Math. Z. 228 ‍(2) (1998) 283–308.
A. ‍Besser, A simple approach to geometric realization of simplicial and cyclic sets, preprint (1998).
A. ‍Besser, Sets of integers with large trigonometric sums, Astérisque ‍(258) (1999) xi, 35–76, structure theory of set addition.
A. ‍Besser, C. ‍Deninger, p-adic Mahler measures, J. Reine Angew. Math. 517 (1999) 19–50.
A. ‍Besser, A generalization of Coleman’s p-adic integration theory, Inv. Math. 142 ‍(2) (2000) 397–434.
A. ‍Besser, Syntomic regulators and p-adic integration I: rigid syntomic regulators, Israel Journal of Math. 120 (2000) 291–334.
A. ‍Besser, Syntomic regulators and p-adic integration. II. K2 of curves, in: Proceedings of the Conference on p-adic Aspects of the Theory of Automorphic Representations (Jerusalem, 1998), Vol. 120, 2000, pp. 335–359. doi:10.1007/BF02834844.
A. ‍Besser, Finite and p-adic polylogarithms, Compositio Math. 130 ‍(2) (2002) 215–223.
A. ‍Besser, Coleman integration using the Tannakian formalism, Math. Ann. 322 ‍(1) (2002) 19–48.
A. ‍Besser, P. ‍Moree, On an invariant related to a linear inequality, Arch. Math. (Basel) 79 ‍(6) (2002) 463–471.
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.
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.
A. ‍Besser, p-adic Arakelov theory, J. Number Theory 111 ‍(2) (2005) 318–371. doi:10.1016/j.jnt.2004.11.010.
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.
A. ‍Besser, A short proof of de Shalit’s cup product formula, Israel J. Math. 151 (2006) 53–59.
A. ‍Besser, R. ‍de ‍Jeu, Li(p)-service? An algorithm for computing p-adic polylogarithms, Math. Comp. 77 ‍(262) (2008) 1105–1134.
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.
A. ‍Besser, On the syntomic regulator for K1 of a surface, Israel Journal of Mathematics 190 (2012) 29–66.
A. ‍Besser, R. ‍de ‍Jeu, The syntomic regulator for K4 of curves, Pacific Journal of Mathematics 260 ‍(2) (2012) 305–380.
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.
A. ‍Besser, R. ‍Livné, 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.
J. ‍Balakrishnan, A. ‍Besser, Computing local p-adic height pairings on hyperelliptic curves, IMRN 2012 ‍(11) (2012) 2405–2444.
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.
A. ‍Besser, On differential Tannakian categories and Coleman integration, preprint (2011).
J. ‍Balakrishnan, A. ‍Besser, Coleman-Gross height pairings and the p-adic sigma function, J. Reine Angew. Math. 698 (2015) 89–104. doi:10.1515/crelle-2012-0095.
A. ‍Besser, R. ‍Livne, Picard-Fuchs equations of families of QM abelian surfaces, Commun. Number Theory Phys. 12 (2018) 829–856. doi:10.4310/CNTP.2018.v12.n4.a5.
J. ‍Balakrishnan, A. ‍Besser, J. ‍S. Müller, Quadratic chabauty: p-adic heights and integral points on hyperelliptic curves, J. Reine Angew. Math. 720 (2016) 51–79.
A. ‍Besser, F. ‍Escriva, R. ‍de ‍Jeu, Frobenius lifts and point counting for smooth curves, preprint (2013).
A. ‍Besser, D. ‍Loeffler, S. ‍Zerbes, Finite polynomial cohomology for general varieties, Annales mathématiques du Québec. 40 ‍(1) (2016) 203–220.
A. ‍Besser, E. ‍de ‍Shalit, L-invariants of p-adically uniformized varieties, Annales mathématiques du Québec. 40 ‍(1) (2016) 29–54.
J. ‍Balakrishnan, A. ‍Besser, J. ‍S. Müller, Computing integral points on hyperelliptic curves using Quadratic Chabauty, Math. Comp. 86 (2017) 1403–1434.
A. ‍Besser, On the regulator formulas of Bertolini, Darmon and Rotger, Research in the Mathematical Sciences 3 ‍(1) (2016) 1–18.
A. ‍Besser, p-adic heights and vologodsky integration, Journal of Number Theory 239 (2022) 273–297. doi:
A. ‍Besser, S. ‍Zerbes, Vologodsky integration on curves with semi-stable reduction, to appear in Israel journal of mathematics (2021).
A. ‍Besser, The syntomic regulator for K2 of curves with arbitrary reduction, in: P. ‍Charollois, G. ‍Freixas ‍i Montplet, V. ‍Maillot (Eds.), Arithmetic L-Functions and Differential Geometric Methods, Springer International Publishing, Cham, 2021, pp. 75–89.
A. ‍Besser, W. ‍Raskind, Toric regulators, in: P. ‍Charollois, G. ‍Freixas ‍i Montplet, V. ‍Maillot (Eds.), Arithmetic L-Functions and Differential Geometric Methods, Springer International Publishing, Cham, 2021, pp. 91–120.
J. ‍Balakrishnan, A. ‍Besser, F. ‍Bianchi, J. ‍S. Müller, Explicit quadratic Chabauty over number fields, Israel J. Math. 243 ‍(1) (2021) 185–232. doi:10.1007/s11856-021-2158-5.
A. ‍Besser, J. ‍S. Müller, P. ‍Srinivasan, p-adic adelic metrics and Quadratic Chabauty I, preprint (2021).

An article about my work

Presentations of lectures I have given


Semester ASemester B
  • 201-1-0121 Approximation Theory