Undergraduates who would like to study algebraic geometry in graduate school should take a year of algebra, a semester of complex analysis and some topology and differential geometry. We offer an undergraduate course in algebraic geometry every other year. The advanced undergraduates may also consider the introductory graduate courses in algebra, manifolds and algebraic geometry.
We strongly encourage undergraduates to participate in research activities. Undergrads can do summer projects with the faculty, participate in REUs , or take reading seminars. There is funding available through the Honors College, UIC and the RTG grant.
There are many concrete problems in algebraic geometry that are accessible to undergraduates.
Those who would like to explore the subject can consult the following introductory texts that are suitable for undergraduates.
Introductory Texts in Algebraic Geometry:
- Miles Reid, Undergraduate algebraic geometry
- Klaus Hulek, Introduction to algebraic geometry
- Brendan Hassett, Algebraic geometry
- Silverman and Tate, Rational points on elliptic curves
- Cox , Little , O'Shea, Ideals, varieties and algorithms, an introduction to algebraic geometry and computational algebra