General

Schedule

Participants

Proceedings

Accomodation

Registration

Schedule

The tentative ANTS programme is now available for review.

There will be five one hour invited talks:

Manjul Bhargava (Princeton)

Gauss Composition and Generalizations

John Coates (Cambridge)

Elliptic curves - The Crossroads of Theory and Computation

Antoine Joux (DCSSI/Crypto Lab)

The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems

Bjorn Poonen (Berkeley)

Using Elliptic Curves of Rank One towards the Undecidability of Hilbert's Tenth Problem

Takakazu Satoh (Saitama)

On p-adic Point Counting Algorithms for Elliptic Curves over Finite Fields

In addition, the following papers have been accepted for contributed talks of 20 minutes:

Roland Auer (Saskatchewan, CA), Jaap Top (Groningen, NL)

Some Genus 3 Curves with Many Points

Wieb Bosma (Nijmegen, NL), Bart de Smit (Leiden, NL)

On arithmetically equivalent fields of small degree

Nils Bruin (Simon Fraser Institute, CA) and Noam Elkies (Harvard, USA)

Trinomials $ax^7+bx+c$ and $ax^8+bx+c$ with Galois groups of order $168$ and $8\cdot 168$

Jean-Marc Couveignes and Thierry Henocq (Toulouse)

Modular correspondences around CM points

Henri Cohen, Francisco Diaz y Diaz and Michel Olivier (A2X Bordeaux, FR)

A survey of discriminant counting

Noam Elkies (Harvard, USA)

Curves $Dy^2 = x^3 - x$ of odd analytic rank

Andreas Enge and F. Morain (LIX Paris, FR)

Comparing invariants for class fields of imaginary quadratic fields

Graham Everest, Peter Rogers and Thomas Ward (University of East Anglia, UK)

A higher-rank Mersenne problem

Mireille Fouquet and Francois Morain (LIX Paris, FR)

Isogeny volcanoes and the SEA algorithm

Takashi Fukuda and Keiichi Komatsu (Nihon University, JP)

An application of Siegel modular functions to Kronecker's limit formula

Steven D. Galbraith (Royal Holloway University, UK), Keith Harrison and David Soldera (HP-Labs, UK)

Implementing the Tate-pairing

E. Gonzalez-Jimenez (Barcelona, SP), J. Gonzalez and J. Guardia (Vilanova, SP)

Computations on modular Jacobian surfaces

Floran Hess (Bristol, UK)

Algorithms for computing Weierstrass points and hyperelliptic models of curves

Joshua Holden (Terre Haute, USA)

Fixed points and two-cycles of the discrete logarithm

Jeremy Horwitz (Stanford, USA) and Ramarthnam Venkatesan (Microsoft)

Random Cayley graphs and the discrete logarithm

Mike Jacobson (Manitoba, CA) and Alf van der Poorten (Macquarie, AUS)

Computational aspects of NUCOMP

Antoine Joux (DCSSI, FR) and Reynald Lercier (CELAR, FR)

The function field sieve is quite special

Hae Young Kim (KAIST, KR), Jung Youl Park (KAIST, KR), Jung Hee Cheon (ICU, KR), Je Hong Park (KAIST, KR), Jae Heon Kim (NSRI, KR) and Sang Geun Hahn (KAIST, KR)

Fast elliptic curve point counting using Gaussian normal basis

Andrew Kresch (University of Pennsylvania, USA) and Yuri Tschinkel (Princeton, USA)

Integral points on punctured abelian surfaces

Paul Leyland (Microsoft, UK), Arjen Lenstra (Citibank, USA), Bruce Dodson (Lehigh University, USA), Alec Muffett (Sun Microsystems, UK) and Sam Wagstaff (Purdue University, USA)

MPQS with three large primes

Stephane Louboutin (Marseille, FR)

Efficient computation of class numbers of real abelian number fields

Wen-Ching W. Li (Pennsylvania State, USA), Hiren Maharaj (Vienna, Austria), Henning Stichtenoth (Essen, GER) and Noam Elkies (Harvard, USA)

New optimal tame towers of function fields over small finite fields

Kazuto Matsuo, Jinhui Chao and Shigeo Tsuji (Chuo University, JP)

Improving baby step giant step algorithm for point counting of hyperelliptic curves over finite fields

Carl Pomerance (Bell Labs, USA) and Igor Shparlinski (Macquarie, AUS)

Smooth orders and cryptographic applications

Alf van der Poorten and Xuan Tran (Macquarie, AUS)

Periodic continued fractions in elliptic function fields

J. Maurice Rojas (Texas, USA)

Additive complexity and $p$-adic roots of polynomials

Tony Shaska (Irvine, USA)

Genus 2 curves with (3,3)-split Jacobian and large automorphism group

Allan Steel (Sydney, AUS)

A new scheme for computing with algebraically closed fields

William Stein (Harvard, USA) and Mark Watkins (Pennsylvania State, USA)

A database of elliptic curves---first report

Ron Steinfeld (Monash University, AUS) and Igor E. Shparlinski (Macquarie, AUS)

Chinese remaindering for algebraic numbers in a hidden field

Edlyn Teske (Waterloo, CA), Peter Ebinger (Karlsruhe, GER)

Factoring $N=pq^2$ with the ECM

Ulrich Vollmer (Darmstadt, GER)

An accelerated Buchmann algorithm for regulator computation in real quadratic fields

Helena Verrill (Hannover, GER)

Transportable modular symbols and the intersection pairing

Frederik Vercauteren (Bristol, UK) and Jan Denef (Leuven-Heverlee, Belgium)

An extension of Kedlaya's algorithm to Artin Schreier curves in characteristic 2

In addition to the talks we plan to have a poster session. Persons interested in presenting their results in a poster session should indicate so in a mail to ants5@maths.usyd.edu.au.

General

Schedule

Participants

Proceedings

Accomodation

Registration