I am a fifth-year PhD student of Professor Søren Galatius. 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. I have a research statement that describes my thesis work in some detail.

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Papers

• Grigoriev I. Relations among characteristic classes of manifold bundles, in preparation (latest draft). 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)