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On multi-authored papers, an asterisk (*) after a name indicates the presenter.

Saturday, 17 May

16:00 - 20:00	Check-in and registration
18:00 - 22:00	Opening reception (hosted by Microsoft Research)

Session Chair:	Hugh Williams
8:45 - 9:00	Opening remarks
9:00 - 10:00	Andrew Granville, Running time predictions for square products and large prime variations
10:00 - 10:30	Coffee break
10:30 - 11:00	Wouter Castryck, Hendrik Hubrechts and Frederik Vercauteren, Computing zeta functions in families of C_a,b curves using deformation*
11:00 - 11:30	Kiran S. Kedlaya and Andrew V. Sutherland, Computing L-series of hyperelliptic curves*
11:30 - 12:00	Remke Kloosterman, Point counting on singular hypersurfaces
12:00 - 14:00	Lunch
Session Chair:	John Cremona
14:00 - 14:30	Alar Leibak, An explicit construction of an initial perfect quadratic forms over some families of totally real number fields * * * cancelled * * *
14:30 - 15:00	John Voight, Enumeration of totally real number fields of bounded root discriminant
15:00 - 15:30	John W. Jones and David P. Roberts, Number fields ramified at one prime*
15:30 - 16:00	Nutri break
16:00 - 16:30	Brett A. Tangedal, Functorial properties of Stark units
16:30 - 17:00	Pieter Rozenhart* and Renate Scheidler, Tabulation of cubic function fields with imaginary and unusual Hessian

Session Chair:	Richard Pinch
9:00 - 10:00	Francois Morain, A survey on algorithms for computing isogenies on low genus curves
10:00 - 10:30	Coffee break and first poster session
10:30 - 11:00	Tom Fisher, Some improvements to 4-descent on an elliptic curve
11:00 - 11:30	Thotsaphon Thongjunthug, Computing a lower bound for the canonical height on elliptic curves over totally real number fields
11:30 - 12:00	John E Cremona, Computing in component groups of elliptic curves
12:00 - 14:00	Lunch
Session Chair:	Gary Walsh
14:00 - 14:30	Edray Goins, Florian Luca, and Alain Togbé, On the Diophantine equation x*² + 2^?5^?13^? = yⁿ
14:30 - 15:00	Sami Omar, Non-vanishing of Dirichlet L-functions at the central point
15:00 - 15:30	Nutri break
15:30 - 16:00	Andrew Shallue, An improved multi-set algorithm for the dense subset sum problem
16:00 - 16:30	Jeong Han Kim, Ravi Montenegro, Yuval Peres and Prasad Tetali, A birthday paradox for Markov chains, with an optimal bound for collision in the Pollard rho algorithm for discrete logarithm*
16:30 - 16:40	Break
16:40 - 17:40	Last minute research announcements
Session Chair:	Renate Scheidler
	Steven Galbraith, Faster ECC using an efficient endomorphism for general curves
	Daniel J. Bernstein* and Tanja Lange, The elliptic curve zoo: a study of curve shapes*
	Igor Shparlinski, Fermat quotients
	Heinri Cohen, Counting cubic extensions with given quadratic resolvent
	Noam Elkies, The smallest "congruent number" curves of rank 5

Session Chair:	Victor Miller
9:00 - 10:00	Johannes A. Buchmann, Lattice based signatures
10:00 - 10:30	Coffee break
10:30 - 11:00	Katsuyuki Takashima, Efficiently computable distortion maps for supersingular curves
11:00 - 11:30	Koray Karabina* and Edlyn Teske, On prime-order elliptic curves with embedding degrees k = 3, 4 and 6
11:30 - 12:00	David Freeman, Peter Stevenhagen and Marco Streng, Ordinary Abelian varieties with prescribed embedding degree*
12:00 - 12:15	Group photo
12:15 - 14:00	Lunch
	Free afternoon

Session Chair:	Everett Howe
9:00 - 10:00	Hugh C. Williams, A new look at an old equation
10:00 - 10:45	Coffee break and second poster session
10:45 - 11:15	Peter L. Montgomery and Alexander Kruppa, Improved stage* 2 to P±1 factoring algorithms
11:15 - 11:45	Richard P. Brent, Pierrick Gaudry, Emmanuel Thomé* and Paul Zimmermann, Faster multiplication in GF(2)[x]
11:45 - 12:15	Willemien Ekkelkamp, Predicting the sieving effort for the Number Field Sieve
12:15 - 14:00	Lunch
Session Chair:	Noam Elkies
14:00 - 14:30	Paul E. Gunnells and Dan Yasaki, Hecke operators and Hilbert modular forms*
14:30 - 15:00	Lassina Dembélé* and Steve Donnelly, Computing Hilbert modular forms over fields with nontrivial class group
15:00 - 15:30	Nutri break
15:30 - 16:00	Jorge Jimenez Urroz, Almost prime orders of CM elliptic curves modulo p
16:00 - 16:30	Juliana Belding, Reinier Bröker, Andreas Enge and Kristin Lauter, Computing Hilbert class polynomials* * * * Winner of the Selfridge Prize in Number Theory * * *
16:30 - 17:00	Miscellaneous business
18:00 - 21:00	Banquet

Session Chair:	David Boyd
9:00 - 9:30	Andreas-Stephan Elsenhans* and Jörg Jahnel, Construction of special K3 surfaces
9:30 - 10:00	Noam D. Elkies, Shimura curve computations via K3 surfaces of Neron-Severi rank at least 19
10:00 - 10:30	Steven D. Galbraith, Michael Harrison and David J. Mireles Morales, Efficient hyperelliptic arithmetic using balanced representation for divisors*
10:30 - 11:00	Coffee break
12:00 - 14:00	Lunch
19:00 - 21:00	Added after numerous enquiries: Igor gets his beer from Renate