My general research is in algebraic topology. I am particularly interested in stable homotopy theory and its interplay with higher category theory. My research focuses on the study of the homotopy theory of spectra with additional structures.
My Research
Publications
5
Spanier-Whitehead duality for topological coHochschild homology, with Haldun Özgür Bayındır, to appear in Journal of the London Mathematical Society
4
Koszul Duality in Higher Topoi, with Jonathan Beardsley, (to appear in Homology, Homotopy and Applications).
3
Coalgebras in the Dwyer-Kan Localization of a Model Category, Proceedings of American Mathematical Society 150 (2022), no. 10, 4173–4190
2
The Coalgebraic Enrichment of Algebras in Higher Categories, Journal of Pure and Applied Algebra 226 (2022), no. 3.
1
Coalgebras in symmetric monoidal categories of spectra, with Brooke Shipley, Homology, Homotopy and Applications 21 (2019), no.1, 1-18.
0
Highly Structured Coalgebras and Comodules, PhD thesis (May 2020).
4
Preprints
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Trace Methods for coHochschild homology, with Sarah Klanderman, (submitted).
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A monoidal Dold-Kan correspondence for comodules, (submitted).
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Rigidification of Connective Comodules, (submitted).
Undergrad and grad projects
MIT
Cofiber Sequences of Thom Spectra over B(ℤ/2)^n, Master thesis advised by Haynes Miller (Fall 2014).
EPFL
Group Cohomology, EPFL Master project supervised by Jacques Thévenaz (Spring 2014).
An Introduction to Stable Homotopy Theory, EPFL Master project supervised by Kathryn Hess (Fall 2013).
The Serre Spectral Sequence (using Dress' construction), EPFL Bachelor project supervised by Kathryn Hess (Spring 2013).
Fiber Bundles in Homotopy Theory (in French), EPFL Bachelor project supervised by Kathryn Hess (Fall 2012).