J.D. Quigley

Email address: jdq27 at cornell dot edu
Office: 580 Malott Hall
CV

I am an H.C. Wang Assistant Professor in the Department of Mathematics at Cornell University. I am interested in classical, equivariant, and motivic stable homotopy theory. I also co-organize the Electronic Computational Homotopy Theory seminar with Dan Isaksen and Hana Jia Kong.

Research

• The 2-primary Hurewicz image of tmf, with Mark Behrens and Mark Mahowald. Preprint available on arXiv.
• Algebraic slice spectral sequences, with Dominic Culver and Hana Jia Kong. Submitted. Preprint available on arXiv. Slides and video from my talk at the Midwest Topology Seminar.
• tmf-based Mahowald invariants. Submitted. Preprint available on arXiv. E8-page of AHSS for Tate of tmf.
• Tate blueshift and vanishing for Real oriented cohomology, with Guchuan Li and Vitaly Lorman. Submitted. Preprint available on arXiv. Video of my talk from BIRS workshop "Equivariant stable homotopy theory and p-adic Hodge theory".
• On the parametrized Tate construction and two theories of real cyclotomic spectra, with Jay Shah. Submitted. Preprint available on arXiv.
• Chromatic complexity of the algebraic K-theory of y(n), with Gabe Angelini-Knoll. Submitted. Preprint available on arXiv.
• Complex motivic kq-resolutions, with Dominic Culver. Submitted. Preprint available on arXiv.
• Motivic Mahowald invariants over general base fields. Submitted. Preprint available on arXiv.
• Real motivic and C₂-equivariant Mahowald invariants. Submitted. Preprint available on arXiv
• The Segal Conjecture for topological Hochschild homology of the Ravenel spectra X(n) and T(n), with Gabe Angelini-Knoll. Submitted. Preprint available on arXiv.
• The motivic Mahowald invariant. Alg. Geom. Topol. 19-5 (2019), 2485-2534. Preprint available on arXiv.

• Computing primitively-rooted squares and runs in partial words. European Journal of Combinatorics. European Journal of Combinatorics 68: 223-241 (2018), with F. Blanchet-Sadri, J. Lazarow, J. Nikkel, and X. Zhang.
• Squares and primitivity in partial words. Discrete Applied Mathematics 185: 26-37 (2015), with F. Blanchet-Sadri, M. Bodnar, J. Nikkel, and X. Zhang.
• Computing primitively-rooted squares and runs in partial words. J. Kratochvil and M. Miller (Eds.), IWOCA 2014, 25th International Workshop on Combinatorial Algorithms, October 15-17, 2014, Duluth, Minnesota, Lecture Notes in Computer Science, Vol. 8986, Springer International Publishing, Switzerland, 2015, pp 86-97, with F. Blanchet-Sadri, J. Nikkel, and X. Zhang.
• Squares in partial words. Theoretical Computer Science 530: 42-57 (2014), with F. Blanchet-Sadri, Y. Jiao, J. M. Machacek, and X. Zhang.

Teaching