Eva Belmont

Assistant Professor

Department of Mathematics, Applied Mathematics, and Statistics

Case Western Reserve University, Cleveland OH

Office: 2145 Adelbert Road (formerly HSB) Room 103

Email: ebelmont [at] case [dot] edu

Pronouns: she/ her

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

Towards the p=3 Kervaire Invariant Problem: The E_2-page for the homotopy fixed points spectral sequence computing \pi_∗(E_6^{hC9}), with Rin Ray. Submitted, 2025. [arXiv link]
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. Adv. Math. 484 (2026). [arXiv link]
Normalizer decompositions of p-local compact groups, with Natàlia Castellana, Jelena Grbic, Kathryn Lesh, and Michelle Strumila. Submitted, 2023. [arXiv link]
A Toda bracket convergence theorem for multiplicative spectral sequences, with Hana Jia Kong. Peking Math J (2025). [arXiv link]
The reduced ring of the RO(C_2)-graded C_2-equivariant stable stems, with Zhouli Xu and Shangjie Zhang. Proc. Amer. Math Soc. Ser. B, 11 (2024), 1-14. [arXiv link]
R-motivic v_1-periodic homotopy, with Dan Isaksen and Hana Jia Kong. Pacific J. Math. 330 (2024), no. 1, 43--84. [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]
Beta families arising from a v_2^9 self map on S/(3, v_1^8), with Katsumi Shimomura. 2021. Algebr. Geom. Topol. 23 (2023), no. 9, 4349--4378. [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.

Expository writing

Short notes about operads
Short notes about simplicial sets and quasicategories
A talk about the moduli stack of formal groups given at WCATSS 2016 (joint with Gabriel Angelini-Knoll)
An informal talk I gave motivating homotopy type theory

These are all written when I was a graduate student; let me know if you find any errors. My old live-TeXed course notes are available upon request.

Conference and workshop organization

"Machine computation in homotopy theory", ICERM workshop (June 22-26, 2026)

Midwest Topology Seminar, Case Western Reserve University (February 7-8, 2026)

"Computations in stable homotopy theory", AIM Workshop (October 27-31, 2025)

Teaching

Math 305 (Intro to proofs)

Math 307 (Linear algebra)

Math 401 (Graduate algebra 1)

Math 361/ 461 (Point-set topology)

Math 462 (Algebraic topology)

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