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J.D. Quigley
H.C. Wang Assistant Professor
Departments/Programs
 Mathematics
Research
Algebraic topology and algebraic KTheory
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.
Courses
Fall 2021
Spring 2022
Publications

Real motivic and C2equivariant Mahowald invariants. J. Topol. 142 (2021), 369418.

kqresolutions I (with Dominic Culver). Trans. Amer. Math. Soc. 3747 (2021), 46554710.

Motivic Mahowald invariants over general base fields. Doc. Math. 26 (2021), 561582.

The Segal Conjecture for topological Hochschild homology of the Ravenel spectra (with Gabriel AngeliniKnoll). J. Htpy. Rel. Str. 161 (2021), 4160.

The motivic Mahowald invariant. Alg. Geom. Topol. 195 (2019), 24852534.

tmfbased Mahowald invariants. To appear in Alg. Geom. Topol. arXiv:1911.07975.