## Kevin Tucker

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

**Title:** Associate Professor

**Office:** SEO 417 **Phone:** 3124133150

**Webpage:** https://kftucker.people.uic.edu

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

**Research Interest:**

I am interested in commutative algebra and algebraic geometry. Algebraic geometry is one of the oldest and yet most active disciplines in mathematics. The field has strong ties to such diverse areas of mathematics as complex analysis, topology, and number theory, and

it is also used in a wide variety of applied settings. Applications range from error-correcting codes in computer science and genomics to control theory and modeling in engineering.

Algebraic geometers seek to understand algebraic varieties, geometric objects given locally as the solutions to polynomial equations. For instance, a plane curve is the zero set of a polynomial in

two variables. The richness and simplicity of polynomial equations

make algebraic varieties fascinating objects of study.

**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 and MATH 330.

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

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

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