My research interests are in stable homotopy theory, including equivariant and motivic homotopy theory. I joined the faculty at Case Western Reserve University in 2023. Prior to that, I have held postdoctoral positions at the University of California, San Diego and Northwestern University. I received my PhD in 2018 at MIT under the supervision of Haynes Miller.

Publications and preprints

• Bredon homological stability for configuration spaces of G-manifolds, with J.D. Quigley and Chase Vogeli. Submitted, 2023. [arXiv link]

• A deformation of Borel equivariant homotopy, with Gabriel Angelini-Knoll, Mark Behrens, and Hana Jia Kong. Submitted, 2023. [arXiv link]

• Normalizer decompositions of p-local compact groups, with Natàlia Castellana, Jelena Grbic, Kathryn Lesh, and Michelle Strumila. Submitted, 2023. [arXiv link]

• The reduced ring of the RO(C_2)-graded C_2-equivariant stable stems, with Zhouli Xu and Shangjie Zhang. To appear in Proc. Amer. Math Soc. [arXiv link]

• Subgroup collections controlling the homotopy type of a p-local compact group, with Natàlia Castellana and Kathryn Lesh. J. Pure Appl. Algebra 227 (2023), no. 11, Paper No. 107387. [arXiv link]

• R-motivic v_1-periodic homotopy, with Dan Isaksen and Hana Jia Kong. Submitted, 2022. [arXiv link]

• Beta families arising from a v_2^9 self map on S/(3, v_1^8), with Katsumi Shimomura. 2021. To appear in Algebr. Geom. Topol. [arXiv link]

• Normalizers of chains of discrete p-toral subgroups in compact Lie groups, with Natàlia Castellana, Jelena Grbic, Kathryn Lesh, and Michelle Strumila. Topology Appl. 316 (2022), Paper No. 108101. [arXiv link]

• R-motivic stable stems, with Dan Isaksen. J. Topol. 15 (2022), no. 4, 1755--1793. [arXiv link]

• C_2 and R-motivic stable stems, II, with Bert Guillou and Dan Isaksen. Proc. Amer. Math. Soc. 149 (2021), no. 1, 53--61. [arXiv link]

• A Cartan-Eilenberg spectral sequence for non-normal extensions. J. Pure Appl. Algebra 224 (2020), no. 4, 106216. [arXiv link]

• Localizing the E_2 page of the Adams spectral sequence. Algebr. Geom. Topol. 20 (2020), no. 4, 1965--2028. [arXiv link]

• Localization at b_{10} in the stable category of comodules over the Steenrod reduced powers, 2018 (Ph.D. thesis). [link]

Spectral sequence charts, chart code, and other materials

• My p = 3 fork of Guozhen Wang's Adams-Novikov Ext calculator and documentation

• A p = 3 Adams-Novikov chart with differentials marked up to the 108-stem

• Charts and auxiliary files for my R-motivic Adams computations with Dan Isaksen can be found on Dan's webpage.

Teaching

Fall 2023: Math 361/ 461 (materials on canvas)

Spring 2023: Math 462