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Thirteenth Algorithmic Number Theory Symposium ANTS-XIII
University of Wisconsin, Madison
July 16 – 20, 2018

Thirteenth Algorithmic Number Theory Symposium (ANTS-XIII)
July 16 – 20, 2018

Talks will all be given in 1310 Grainger Hall.

Click on the title of any paper below to see its abstract and a pre-conference preprint. Slides from the conference talks are also now available by clicking on the title of the talk. Or download all the papers as one concatenated [pdf] or as a [zip] folder containing each paper as a separate pdf file.

Sunday, July 15
10:00 AM World Cup Finals Union South's The Sett
7-9 PM Welcome Gathering9th Floor Van Vleck Hall

Monday, July 16
8:00 Registration Opens
8:45-9:00 Welcome
9:00-10:00 Noam Elkies Curves with many points over number fields
10:00-10:30 Coffee break
10:30-12:00 A. Gélin, E. W. Howe and C. Ritzenthaler Principally polarized squares of elliptic curves with field of moduli equal to Q S. Chan, J. Hanselman and W. Li Ranks, 2-selmer groups, and Tamagawa numbers of elliptic curves with Z/2Z x Z/8Z-torsion M. Musty, S. Schiavone, J. Sijsling and J. Voight A database of Belyĭ maps
12:00-1:30 Lunch break
1:30-2:30 E. Costa, D. Harvey and K. S. Kedlaya Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in p-adic cohomology N. Bruin, J. Sijsling and A. Zotine Numerical computation of endomorphism rings of Jacobians
2:30-3:00 Coffee break
3:00-4:30 K. S. Kedlaya and A. Medvedovsky Mod-2 dihedral Galois representations of prime conductor O. Colman, A. Ghitza and N. C. Ryan Analytic evaluation of Hecke eigenvalues for Siegel modular forms of degree two D. Kohel Arithmetic statistics of Galois groups

Tuesday, July 17
8:00 Registration Opens
9:00-10:00 Jennifer Balakrishnan Effective aspects of quadratic Chabauty
10:00-10:30 Coffee break
10:30-12:00 A. Best Explicit Coleman integration in larger characteristic V. Arul, A. J. Best, E. Costa, R. Magner and N. Triantafillou Computing zeta functions of cyclic covers in large characteristic J.-D. Bauch and H. T. Nguyen Tran Computation of triangular integral bases
12:00-1:30 Lunch break
1:30-2:30 A. Babei Computing normalizers of tiled orders in Mn(k) D. Roe The inverse Galois problem for p-adic fields
2:30-3:45 Coffee break/poster session
3:45-4:45 Business meeting
5:00-9:00 Banquet

Wednesday, July 18
9:00-10:00 Steven Galbraith Current trends and challenges in post-quantum cryptography
10:00-10:30 Coffee break
10:30-11:30 A. V. Sutherland A database of nonhyperelliptic genus 3 curves over Q S. Abelard, P. Gaudry and P.-J. Spaenlehauer Counting points on genus-3 hyperelliptic curves with explicit real multiplication
11:30-11:45 Short Break
11:45-12:45 A. V. Sutherland Fast Jacobian arithmetic for hyperelliptic curves of genus 3 S. Arora and K. Eisenträger Constructing Picard curves with complex multiplication using the Chinese Remainder Theorem
Rest of day Free afternoon

Thursday, July 19
9:00-10:00 Melanie Matchett Wood Effective Chebotarev density theorems for families of number fields without GRH
10:00-10:30 Coffee break
10:30-12:00 B. Wesolowski Generating subgroups of ray class groups with small prime ideals C. Fieker, T. Hofmann and C. Sircana On the construction of class fields J.-F. Biasse and C. van Vredendaal Fast multiquadratic S-unit computation and application to the calculation of class groups
12:00-1:30 Lunch break
1:30-2:30 T. Hofmann and Y. Zhang Cyclic extensions of prime degree and their p-adic regulators R. Bröker, D. Hubbard and L. C. Washington Explicit computations in Iwasawa theory
2:30-3:00 Coffee break
3:00-4:30 Q. Cheng, S. Gao, M. Rojas and D. Wan Counting roots for polynomials modulo prime powers A. Bostan, X. Caruso, G. Christol and P. Dumas Fast coefficient computation for algebraic power series in positive characteristic D. Harvey and J. van der Hoeven Faster integer multiplication using short lattice vectors
4:30-4:45 Short break
4:45-5:45 Rump Session Schedule

Friday, July 20
9:00-10:00 Emmanuel Thomé Computation of discrete logarithms in finite fields
10:00-10:30 Coffee break
10:30-12:00 B. Wesolowski and T. Kleinjung A new perspective on the powers of two descent for discrete logarithms in finite fields L. Grémy Higher dimensional sieving for the number field sieve algorithms A. Shallue and J. Webster Fast tabulation of challenge pseudoprimes
12:00 Final Remarks
© 2017-2018 Jennifer Paulhus (with thanks to Kiran S. Kedlaya, and by extension Pierrick Gaudry and Emmanuel Thomé)