Course Description 
This course will give an introduction to the study of algebraic curves and abelian varieties. One focus will be on the relation between the geometry of a curve and its associated Jacobian variety. To this end, we will study the theory of linear series on a fixed curve, and in particular the varieties parameterizing these linear series. We will also give a brief introduction to the study of abelian varieties in order to consider the Torelli theorem, the Schottky problem, and more generally, the geometry of theta divisors. A prerequisite for the course is a one year introduction to algebraic geometry. 
Schedule  Tuesdays
and Thursdays,
11:30AM1:00PM, Science Center 112 (Harvard Academic Calendar) 
Instructor 
Sebastian CasalainaMartin Science Center 334 casa@math.harvard.edu 
Office Hours 
Mondays
11:00AM12:00PM Wednesdays 9:30AM10:30AM 
TA 
Maksym
Fedorchuk 
Texts 

Homework
and Section 
There
will be weekly homework assignments, posted on
this
page. A weekly section will be led by the TA Maksym Fedorchuk Thursdays 4:005:00, Science Center 232. 
Syllabus 
This
syllabus is a rough guide to topics
we will cover. 