Invited Papers

• 
  Ernie Croot, Andrew Granville, Robin Pemantle, Prasad Tetali: Running Time Predictions for Factoring Algorithms. 1-36
• 
  Reginald E. Sawilla, A. K. Silvester, Hugh C. Williams: A New Look at an Old Equation. 37-59

Elliptic Curves Cryptology and Generalizations

• 
  David Freeman, Peter Stevenhagen, Marco Streng: Abelian Varieties with Prescribed Embedding Degree. 60-73
• 
  Jorge Jiménez Urroz: Almost Prime Orders of CM Elliptic Curves Modulo p. 74-87
• 
  Katsuyuki Takashima: Efficiently Computable Distortion Maps for Supersingular Curves. 88-101
• 
  Koray Karabina, Edlyn Teske: On Prime-Order Elliptic Curves with Embedding Degrees k = 3, 4, and 6. 102-117

Arithmetic of Elliptic Curves

• 
  J. E. Cremona: Computing in Component Groups of Elliptic Curves. 118-124
• 
  Tom Fisher: Some Improvements to 4-Descent on an Elliptic Curve. 125-138
• 
  Thotsaphon Thongjunthug: Computing a Lower Bound for the Canonical Height on Elliptic Curves over Totally Real Number Fields. 139-152
• 
  Richard P. Brent, Pierrick Gaudry, Emmanuel Thomé, Paul Zimmermann: Faster Multiplication in GF(2)[x]. 153-166

Integer Factorization

• 
  Willemien Ekkelkamp: Predicting the Sieving Effort for the Number Field Sieve. 167-179
• 
  Peter L. Montgomery, Alexander Kruppa: Improved Stage 2 to P±1 Factoring Algorithms. 180-195

K3 Surfaces

• 
  Noam D. Elkies: Shimura Curve Computations Via K3 Surfaces of Néron-Severi Rank at Least 19. 196-211
• 
  Andreas-Stephan Elsenhans, Jörg Jahnel: K3 Surfaces of Picard Rank One and Degree Two. 212-225

Number Fields

• 
  John W. Jones, David P. Roberts: Number Fields Ramified at One Prime. 226-239
• 
  Alar Leibak: An Explicit Construction of Initial Perfect Quadratic Forms over Some Families of Totally Real Number Fields. 240-252
• 
  Jonathan W. Sands, Brett A. Tangedal: Functorial Properties of Stark Units in Multiquadratic Extensions. 253-267
• 
  John Voight: Enumeration of Totally Real Number Fields of Bounded Root Discriminant. 268-281

Point Counting

• 
  Juliana Belding, Reinier Bröker, Andreas Enge, Kristin Lauter: Computing Hilbert Class Polynomials. 282-295
• 
  Wouter Castryck, Hendrik Hubrechts, Frederik Vercauteren: Computing Zeta Functions in Families of Ca, b. 296-311
• 
  Kiran S. Kedlaya, Andrew V. Sutherland: Computing L-Series of Hyperelliptic Curves. 312-326
• 
  Remke Kloosterman: Point Counting on Singular Hypersurfaces. 327-341

Arithmetic of Function Fields

• 
  Steven D. Galbraith, Michael Harrison, David J. Mireles Morales: Efficient Hyperelliptic Arithmetic Using Balanced Representation for Divisors. 342-356
• 
  Pieter Rozenhart, Renate Scheidler: Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian. 357-370

Modular Forms

• 
  Lassina Dembélé, Steve Donnelly: Computing Hilbert Modular Forms over Fields with Nontrivial Class Group. 371-386
• 
  Paul E. Gunnells, Dan Yasaki: Hecke Operators and Hilbert Modular Forms. 387-401

Cryptography

• 
  Jeong Han Kim, Ravi Montenegro, Yuval Peres, Prasad Tetali: A Birthday Paradox for Markov Chains, with an Optimal Bound for Collision in the Pollard Rho Algorithm for Discrete Logarithm. 402-415
• 
  Andrew Shallue: An Improved Multi-set Algorithm for the Dense Subset Sum Problem. 416-429

Number Theory

• 
  Edray Goins, Florian Luca, Alain Togbé: On the Diophantine Equation x²+2^alpha5^beta13^gamma=yⁿ. 430-442
• 
  Sami Omar: Non-vanishing of Dirichlet L-functions at the Central Point. 443-453

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