Algebraic Curves

This page is mainly on activities of algebraic curves. It includes past conferences on the subject, lecture notes, or future conferences.  We focus on the geometry of algebraic curves, arithmetic geometry, and applications to other areas. Anybody who is interested on our activities, please contact any of us.
A database of genus 2 curves


To enter the database click on the picture

Genus 2 encyclopedia

Contents
  • Genus 2 curves of minimal absolute height < 5  or moduli height < 11 including the following for each curve:
    • automorphism group over the complex numbers
    • automorphism group over Q
    • all twists of curves for a fixed minimal absolute height
    • Statistics
  • Genus 3 hyperelliptic curves.  For each curve the following is displayed:
    • absolute invariants t_1, ..., t_6
    • automorphism group over the complex numbers
    • automorphism group over Q
    • all twists of curves for a fixed minimal absolute height
    • Statistics
  • Ternary quartics (TBA)
  • Superelliptic curves of higher genus
    • all superelliptic curves of genus g<11
    • all their automorphism groups over C

Genus 3 hyperelliptic curves

We have created a database for genus 3 hyperelliptic curves, which will be soon available to the public.




Outreach and social media

Visit our facebook page by clicking on the picture

Algebraic curves facebook page

Upcoming conferences
Upcoming books and proceedings volumes


Books
Algebraic Curves and their Applications
Contemporary Math. (AMS)
Eds: L. Beshaj, T. Shaska

Deadline for submission: 
October 2017



Algebraic curves and their fibrations in mathematical physics and arithmetic geometry

Eds A. Malmendier, T. Shaska, 

Contemporary Math. 
American Math. Soc. (2018), (to appear) xii+359 pp.


Advances on superelliptic curves and their applications.
Eds.  L. Beshaj, T. Shaska,  E. Zhupa,

NATO Science for Peace and Security Series D: Information and Communication Security, 41.  IOS Press, Amsterdam, 2015. xii+375 pp.


Algebraic aspects of digital communications

Eds. T. Shaska, E. Hasimaj. 
NATO Science for Peace and Security Series D: Information and Communication Security, 
24. IOS Press, Amsterdam, 2009. viii+285 pp.


Advances in coding theory and cryptography 
Eds. T. Shaska, W. C. Huffman, D. Joyner and V. Ustimenko. 

Series on Coding Theory and Cryptology, 3. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2007. xii+256 pp.

Computational aspects of algebraic curves Edited by T. Shaska. 

Lecture Notes Series on Computing, 13. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2005. xii+272 pp.