|
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: By appointement
|
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.
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, 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.
- [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.
doi:10.1016/j.jnt.2004.11.010.
- [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. 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.
- [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, J. Reine Angew. Math. 698
(2015) 89–104.
doi:10.1515/crelle-2012-0095.
- [29]
-
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.
- [30]
-
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.
- [31]
-
A. Besser, F. Escriva, R. de Jeu,
Frobenius lifts and point
counting for smooth curves, preprint (2013).
- [32]
-
A. Besser, D. Loeffler, S. Zerbes,
Finite polynomial cohomology for
general varieties, Annales mathématiques du Québec. 40 (1) (2016)
203–220.
- [33]
-
A. Besser, E. de Shalit,
L-invariants
of p-adically uniformized varieties, Annales mathématiques du Québec.
40 (1) (2016) 29–54.
- [34]
-
J. Balakrishnan, A. Besser, J. S. Müller,
Computing integral points on
hyperelliptic curves using Quadratic Chabauty, Math. Comp. 86 (2017)
1403–1434.
- [35]
-
A. Besser,
On
the regulator formulas of Bertolini, Darmon and Rotger, Research in
the Mathematical Sciences 3 (1) (2016) 1–18.
- [36]
-
A. Besser,
p-adic
heights and vologodsky integration, Journal of Number Theory 239 (2022)
273–297.
doi:https://doi.org/10.1016/j.jnt.2021.12.005.
- [37]
-
A. Besser, S. Zerbes, Vologodsky
integration on curves with semi-stable reduction, to appear in Israel
journal of mathematics (2021).
- [38]
-
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.
- [39]
-
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.
- [40]
-
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.
- [41]
-
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
Teaching
Semester A | Semester B |
|
-
201-1-0121 Approximation Theory
|