My main research project concerns equivariant Thom spectra with actions by operads. For Thom spectrum algebras over equivariant finite-dimensional little disk operads, I’m developing obstruction theoretic tools for constructing operadic orientations. I am also working on computing RO(C_2)-graded cohomology groups of classical groups with anti-involutions, that would be applicable for constructing new Thom spectra.
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