1 General position with respect to algebraic curves
Ten survey articles reflect invited lectures at the workshops Algebraic Curves
Over Finite Fields, held in November 2013, and Emerging Applications of Finite Fields, held in December 2013.
Conics and Cubics: A Concrete Introduction to Algebraic Curves
, Springer, 2006.
Some remarks on number of rational points of algebraic curves
over finite fields.
To enumerate algebraic curves
with floor diagrams we need the notion of markings of such diagrams.
DEMMEL, Algorithms for intersecting parametric and algebraic curves
Teichmuller modular forms (of degree g) are introduced in [Ic2] as global sections of automorphic line bundles on the moduli space of algebraic curves
(of genus g).
His success depended on finding connections between number theory and algebraic curves
Research: To study the geometry of the moduli space of algebraic curves
by incorporating equivalent cohomology, deformation theory of maps, and algebraic cycle theory.
Arakelov, Families of algebraic curves
with fixed degeneracies, Math.
There are many interesting loci--besides well known conics also algebraic curves
of higher degree such as cubics, quartics etc.
Non-special divisors on real algebraic curves
and embeddings into real projective spaces.