National Science Foundation Postdoctoral Fellow

pechenik@umich.edu
Office Information:

Office Number: 1856

phone: 936-0095

Combinatorics;
Algebra and Algebraic Geometry;
Mathematics

Education/Degree:

B.A., Oberlin College (2010)
Ph.D., University of Illinois at Urbana-Champaign (2016)

### About

My primary research concerns combinatorial models governing the geometry of particularly nice algebraic varieties. The theory of Young tableaux has led to an important understanding of the cohomology rings of Grassmannians and to significant further developments in algebraic geometry, representation theory and combinatorics. I'm often working to elucidate the richer world of K-theory, by both developing new combinatorial models and studying their applications.