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H.C. Wang Assistant Professor
Algebraic topology and algebraic K-Theory
My research focuses on three programs:
Broadly speaking, these projects are motivated by classification problems in geometry, topology, and algebra, such as the classification of spheres up to diffeomorphism, aspherical manifolds up to homeomorphism, or symmetric bilinear forms up to equivalence.
Real motivic and C2-equivariant Mahowald invariants. J. Topol. 14-2 (2021), 369-418.
kq-resolutions I (with Dominic Culver). Trans. Amer. Math. Soc. 374-7 (2021), 4655-4710.
Motivic Mahowald invariants over general base fields. Doc. Math. 26 (2021), 561-582.
The Segal Conjecture for topological Hochschild homology of the Ravenel spectra (with Gabriel Angelini-Knoll). J. Htpy. Rel. Str. 16-1 (2021), 41-60.
The motivic Mahowald invariant. Alg. Geom. Topol. 19-5 (2019), 2485-2534.
tmf-based Mahowald invariants. To appear in Alg. Geom. Topol. arXiv:1911.07975.