Projects
Theta FunctionsTheta functions are some of the most amazing objects in mathematics. They have been studied by Riemann, Picard, Kovalevski, Frobenious among many others. We focus on theta functions of algebraic curves, and more explicitly on thetanulls of superelliptic curves. For more information click below Genus 3 curvesGenus 3 curves are ternary quartics. If the curve is hyperelliptic then they are written as y^2=f(x) where f(x) is a polynomial of degree 8. Genus 3 hyperelliptic curves are treated in the package of hyperelliptic curves. Here we deal with nonhyperelliptic genus 3 curves. The most famous of them all is perhaps the Klein's quartic.  Genus 2 CurvesA Maple package for genus 2 curves which computes the basic invariants of the curve: Igusa invariants, absolute invariants, field of moduli, field of definition, automorphism group, etc. Books for the Albanian audienceEquation of curves over their field of definitionLet C be a curve defined over the complex numbers and F its field of definition. Finding a curve $X$, isomorphic to C over the complex numbers, is an old problem in algebraic geometry. Algorithms exist for genus 2 curves due to work of Clebsch, Mestre, Shaska, Cardona, et al. We focus on genus 3 curves and on superelliptic curves of any genus. More information can be found here.  Conferences and Activities

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