## Izzet Coskun

**Email Address:** coskun@math.uic.edu**College:** Liberal Arts and Sciences **Department:** Math, Statistics, and Computer Science

**Title:** Associate Professor

**Office:** SEO 423 **Phone:** 3124132152

**Webpage:** http://www.math.uic.edu/~coskun

**Participating in the Chancellor’s Undergraduate Research Awards program:** Yes

**Research Interest:**

I am an algebraic geometer. Algebraic geometry studies properties of solutions of polynomial equations and has applications to many other fields including number theory, representation theory and string theory. Some of the basic questions I think about include: How many solutions does this equation have? What does the set of solutions look like?

An undergraduate student working with me would compute the dimensions of the spaces of polynomials satisfying various constraints. For example, if we fix finitely many points in the plane, what is the dimension of the space of polynomials whose Taylor expansions vanish to given orders at those points?

**Minimum time commitment in hours per week:** 5

**Qualifications of a Student:**

The student must be a junior or senior Mathematics major. The student must have completed MATH 320, MATH 330, MATH 417.

**Brief Summary of what is expected from the student:**

The student will be expected to read and learn basic algebraic geometry. The particular problem that the student will work on will be decided based on the student's interests.

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