Adela (YiYu) Zhang
I'm a Marie Curie postdoctoral fellow at the Centre for Geometry and Topology, University of Copenhagen.
I received my Ph.D. at MIT in July 2023 under the supervision of Jeremy Hahn and Haynes Miller. My thesis examines the interplay between Koszul duality and power operations via the bar spectral sequence. Before that I was an undergrad at MIT. Here is my cv.
I'm interested in stable homotopy theory and its applications to manifold theory, in particular configuration spaces. Most recently I have been working on computations in synthetic and equivariant stable homotopy theory.
Email: yz at math dot ku dot dk
Preprints and publications
An equivariant Adams spectral sequences for tmf(2) with Jeremy Hahn, Andrew Senger, and Foling Zou. In preparation.
Bounding the K(p−1)-local exotic Picard group at p>3 with Irina Bobkova, Andrea Lachmann, Ang Li, Alicia Lima, and Vesna Stojanoska. (2024) Submitted.
Inertia groups of (n-1)-connected 2n-manifolds with Andrew Senger. (2022) Submitted.
Operations on spectral partition Lie algebras and TAQ cohomology. (2022) Submitted.
Mod p homology of unordered configuration spaces of surfaces with Matthew Chen. (2022) Accepted by Proceedings of the AMS.
Quillen homology of spectral Lie algebras, with application to mod p homology of labeled configuration spaces. (2021) Accepted by Algebraic & Geometric Topology.
Diagonal form of the Verchanko matrices with Yibo Gao. Journal of Algebraic Combinatorics 48 (3), 351-368, 2018.
Seminars
I'm co-organizing the masterclass on Homotopical methods in manifold theory, April 15-19, 2024 at the University of Copenhagen.
In fall 2022, I co-organized the MIT Juvitop seminar on K(n)-local E_infinity rings and the Chromatic Nullstellensatz.
In spring 2022, I co-organized the MIT Juvitop seminar on Goodwillie calculus and spectral (partition) Lie algebras.
In summer and fall 2020, I orgainzed the MIT topology seminar.