Hypergeometric decomposition of symmetric K3 quartic pencils
Charles F. Doran, Tyler L. Kelly, Adriana Salerno, Steven Sperber, John Voight, Ursula Whitcher arXiv:arxiv.org/abs/1810.06254
The Inverse Galois Problem for p-adic fields
David Roe arXiv:arXiv:1809.10195
Archimedean local height differences on elliptic curves
J. Steffen Müller, Corinna Stumpe arXiv:1807.04153
A database of nonhyperelliptic genus 3 curves over Q
Andrew V. Sutherland arXiv:1806.06289
Mod-2 dihedral Galois representations of prime conductor
Kiran S. Kedlaya, Anna Medvedovsky arXiv:1806.04653
Explicit Coleman Integration in Larger Characteristic
Alex J. Best arXiv:1806.03393
Computing Zeta Functions of Cyclic Covers in Large Characteristic
Vishal Arul, Alex J. Best, Edgar Costa, Richard Magner, Nicholas Triantafillou arXiv:1806.02262
Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in p-adic cohomology
Edgar Costa, David Harvey, Kiran S. Kedlaya arXiv:1806.00368
Modular eigenforms at the boundary of weight space, Research in Number Theory, 4:23, 2018
Jan Vonk: https://link.springer.com/article/10.1007/s40993-018-0115-0 arXiv:
On the paramodularity of typical abelian surfaces
Armand Brumer, Ariel Pacetti, Cris Poor, Gonzalo Tornaria, John Voight, David S. Yuen arXiv:1805.10873
A Database of Belyi Maps
Michael Musty, Sam Schiavone, Jeroen Sijsling, John Voight arXiv:1805.07751
Chabauty-Coleman experiments for genus 3 hyperelliptic curves
Jennifer S. Balakrishnan, Francesca Bianchi, Victoria Cantoral-Farfán, Mirela Çiperiani, Anastassia Etropolsk arXiv:1805.03361
An effective Chabauty-Kim theorem
Jennifer Balakrishnan, Netan Dogra arXiv:1803.10102
ZpL: a p-adic precision package
Xavier Caruso, David Roe, Tristan Vaccon arXiv:1802.08532
Stable rationality in smooth families of threefolds
Brendan Hassett, Andrew Kresch, Yuri Tschinkel arXiv:1802.06107
Sato-Tate distributions of twists of the Fermat and the Klein quartics
Francesc Fité, Elisa Lorenzo García, and Andrew V. Sutherland arXiv:1712.07105
The Belyi degree is computable
Ariyan Javanpeykar and John Voight arXiv:1711.00125
Heuristics for the arithmetic of elliptic curves
Bjorn Poonen arXiv:1711.10112
Explicit Chabauty-Kim for the Split Cartan Modular Curve of Level 13
Jennifer S. Balakrishnan, Netan Dogra, J. Steffen Müller, Jan Tuitman, Jan Vonk arXiv:1711.05846
Gonality of dynatomic curves and strong uniform boundedness of preperiodic points
John R. Doyle, Bjorn Poonen arXiv:1711.04233
On Elliptic Curves of prime power conductor over imaginary quadratic fields with class number one
John Cremona, Ariel Pacetti arXiv:1711.02170
Explicit Coleman integration for curves
Jennifer S. Balakrishnan and Jan Tuitman arXiv:1710.01673
Using zeta functions to factor polynomials over finite fields
Bjorn Poonen arXiv:1710.00970
Black Box Galois Representations
Alejandro Argáez-García, John Cremona arXiv:1709.06430
Maps between curves and arithmetic obstructions
Andrew V. Sutherland and José Felipe Voloch arXiv:1709.05734v1
Sylvester’s Problem and Mock Heegner Points
Samit Dasgupta, John Voight arXiv:1707.05874
Rigorous computation of the endomorphism ring of a Jacobian
Edgar Costa, Nicolas Mascot, Jeroen Sijsling, John Voight arXiv:1705.09248
Quadratic Chabauty and rational points II: Generalised height functions on Selmer varieties
Jennifer S. Balakrishnan, Netan Dogra arXiv:1705.00401
Statistics of K-groups modulo p for the ring of integers of a varying quadratic number field
Bruce W. Jordan, Zev Klagsbrun, Bjorn Poonen, Christopher Skinner, Yevgeny Zaytman arXiv:arxiv.org/abs/1703.00108
Rational Points on Varieties, Graduate Studies in Mathematics 186, Amer. Math. Soc., 2017
Bjorn Poonen: https://bookstore.ams.org/gsm-186 arXiv:
Fast Jacobian arithmetic for hyperelliptic curves of genus 3
Andrew V. Sutherland arXiv:arxiv.org/abs/1607.08602
Sato-Tate Distributions
Andrew V. Sutherland arXiv:arxiv.org/abs/1604.01256
A heuristic for boundedness of ranks of elliptic curves
Jennifer Park, Bjorn Poonen, John Voight, Melanie Matchett Wood. See also Quantum Magazine article: https://www.quantamagazine.org/without-a-proof-mathematicians-wonder-how-much-evidence-is-enough-20181031/ arXiv:1602.01431
Abelian varieties isogenous to a power of an elliptic curve
Bruce W. Jordan, Allan G. Keeton, Bjorn Poonen, Eric M. Rains, Nicholas Shepherd-Barron, John T. Tate arXiv:arxiv.org/abs/1602.06237