# Orlando 2017

**Algebraic curves and their applications**

**Fall Southeastern Sectional Meeting**

**University of Central Florida, Orlando, Orlando, FL**

**September 23-24, 2017 (Saturday - Sunday)**

**Meeting #1133**

**Organizers**:

- Lubjana Beshaj, West Point Military Academy Email: Lubjana.Beshaj@usma.edu

**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
- Neron-Tate 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

**Proceedings**

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
- Isogeny-based 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**

**Website**

Here is the website of the session from AMS including instructions how to submit abstracts

**Talks** (in the order they were received)

- From hyperelliptic to superelliptic curves,
**T. Shaska**- A Family of Non-normal Double Planes Associated to Hyperelliptic Curves,
**Timothy J. Ford**- Covers of elliptic curves and good reduction,
**James Phillips**- Bounds for the Mordell-Weil rank of certain families of jacobians of hyperelliptic curves defined over Q,
**Alvaro Lozano-Robledo**, 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** - Local-to-Global Principles for Galois Covers of Curves in Characteristic p,
**Renee Hyunjeong Bell**- Some Applications of the Hasse-Weil Bound,
**Xiang-dong 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 auto-Igusa 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,
**Jean-Francois Biasse**