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Ilya Grigoriev

ilyagr@math.uchicago.edu

Department of Mathematics

University of Chicago

5734 S. University Avenue

Chicago, IL 60637

I am a third-year postdoc at the University of Chicago. Before, I was a graduate student of Professor

Søren Galatius in Stanford. I am interested in areas of homotopy theory related to low-dimensional topology and algebraic geometry, particularly in the cohomology of moduli spaces and classifying spaces.

## Papers

- Galatius, S, Grigoriev I., and Randal-Willliams, O.
*Tautological rings for high dimensional manifolds*, in preparation.

- Grigoriev I.
*Relations among characteristic classes of manifold bundles*, submitted (arxiv).
There is also a 30-minute video introduction to these results, courtesy of the "Cohomological methods in geometric group theory" program at the Banff Internation Research Station, Canada.

- Grigoriev I., Ince N., Catalin Iordan, M., Lubin A., Silva C.
*On μ-compatible metrics and measurable sensitivity*, Colloquium Math 126 (2012), 53-72 (journal, arxiv)