Organizers:
Overview:
Algebraic curves are one of the most studied areas of mathematics which create a very nice mixture of classical theoretical results with applications. In this session we intend to bring together researchers from academia and industry and provide a platform for discussing algebraic curves and their applications in industry such as robotics, automotive security, cryptography, mathematical physics, etc.
Topics of the session include, but are not limited to:
Curves defined over the complex numbers Thetanulls for superelliptic curves Moduli spaces and their stratification Equations of curves over their minimal field of definition Field of moduli versus the field of definition Models of curves with minimal height NeronTate models of superelliptic curves Moduli height of curves Counting of curves in the moduli space Jacobians of curves and their decompositions Algebraic curves and mathematical physics Tropical Curves Tropical curves and their automorphisms Tropical superelliptic curves Algebraic curves and cryptography Algebraic curves and their use in industrial applications others
Deadline for abstracts:
August 1, 2017
Website
Talks (in the order they were received)
From hyperelliptic to superelliptic curves, T. Shaska A Family of Nonnormal Double Planes Associated to Hyperelliptic Curves, Timothy J. Ford Covers of elliptic curves and good reduction, James Phillips Bounds for the MordellWeil rank of certain families of jacobians of hyperelliptic curves defined over Q,
Alvaro LozanoRobledo, Harris B. Daniels, Erik Wallace Loci of genus two curves with marked Weierstrass points, Renzo Cavalieri, Nicola Tarasca Constructing hyperelliptic curves of genus 3 whose Jacobians have CM, Jennifer S. Balakrishnan, Sorina Ionica, Kristin Lauter, Christelle Vincent LocaltoGlobal Principles for Galois Covers of Curves in Characteristic p, Renee Hyunjeong Bell Some Applications of the HasseWeil Bound, Xiangdong Hou Torsion subgroups of rational elliptic curves over infinite extensions of Q, Harris B. Daniels Interpolation problems for curves in projective space, Isabel Vogt The Local Lifting Problem for D4D4, Bradley Weaver Degrees of CM Points on X1(M,N)X1(M,N). A. Bourdon, P. L. Clark The autoIgusa zeta function of a plane curve singularity is rational, A. Stout Reduction of Binary Forms via the Hyperbolic Centroid, A. Elezi, T. Shaska A Quantum Algorithm for Computing Isogenies between Supersingular Elliptic Curves,
JeanFrancois Biasse

Title: Algebraic Curves and Applications
Editors: Lubjana Beshaj and Tony Shaska
Publisher: Contemporary Math. (AMS) Deadline for papers October 30
Topics  Elliptic Curve Cryptography
 Hyperelliptic Curve Cryptography
 Decomposition of Jacobians of Hyperelliptic Curves
 Algebraic curves and automotive security
 Arithmetic of genus 2 curves
 Genus 3 hyperelliptic curves
 Superelliptic curves and cryptography
 Isogenybased cryptography
 Arithmetic of superelliptic curves
 From hyperelliptic to superelliptic curves
 Tropical superelliptic curves
 others
Dinner
There will be a dinner for all the session participants and their guests in one of the local restaurants. More details to come soon.
Schedule
Time  Title  Speaker      Saturday Morning      8:008:20  The Local Lifting Problem for D4D4  B. Weaver  8:308:50  Reduction of Binary Forms via the Hyperbolic Centroid  A. Elezi  9:009:20  Constructing hyperelliptic curves of genus 3 whose Jacobians have CM  C. Vincent  9:309:50  A Family of Nonnormal Double Planes Associated to Hyperelliptic Curves  T. Ford  10:0010:50  From hyperelliptic to superelliptic curves  T. Shaska      Saturday Afternoon      3:003:20  Covers of elliptic curves and good reduction.  J. Phillips  3:303:50  Loci of genus two curves with marked Weierstrass points  N. Tarasca  4:004:20  Interpolation problems for curves in projective space  I. Vogt  4:304:50  Torsion subgroups of rational elliptic curves over infinite extensions of Q  H. Daniels  5:005:50  Bounds for the MordellWeil rank of certain families of Jacobians of hyperelliptic curves defined over Q  A. LozanoRobledo      Sunday Morning      8:008:20  The autoIgusa zeta function of a plane curve singularity is rational  A. Stout  8:308:50  Some Applications of the HasseWeil Bound  X. Hou  9:009:20  LocaltoGlobal Principles for Galois Covers of Curves in Characteristic p  R. Bell  9:309:50  Degrees of CM Points on X1(M,N)X1(M,N)  A. Bourdon  10:0010:20  Computing isogenies between elliptic curves and applications to cryptography  J. Biasse 
Orlando: Algebraic Curves 