1 General position with respect to

algebraic curvesTen 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 I.

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.