Research Interests
To mention some key words, I am probably reading or thinking about concepts in: Algebraic K-theory and trace methods, Goodwillie Calculus, stable homotopy theory, and recently also bit of motivic homotopy theory.
Research Interests
To mention some key words, I am probably reading or thinking about concepts in: Algebraic K-theory and trace methods, Goodwillie Calculus, stable homotopy theory, and recently also bit of motivic homotopy theory.
Masters Thesis (advisor: Robert Burklund)
Note that this project is still under construction ;) but if you would like to see something written up - write me an email!
Title: Constructing Deformations of Additive oo-Categories
Abstract: We define homology theories for additive oo-categories. We construct an unseparated grothendieck prestable derived oo-category R(B,H), of ω-accessible additive oo-categories B along special adapted grothendieck homology theories H, to finally prove its universal property. This construction is a generalization of previously known (unseparated variants of) derived oo-categories of: a grothendieck abelian category, a presentable stable category [ref] and synthetic spectra [ref].
Current status: I am working on studying the behavior of homology theories as we define them for additive setting, and thinking about what information the mapping spaces in the deformation category R(B,H) encode (in analogy with Adams sseq in stable setting).
Talk Notes
Lurie's Elliptic Cohomology Workshop 2025: Spectral Formal Groups (notes)
Condensed Math seminar 2024: Solid Modules and the lower shriek functor (draft)
Topics in Algebraic Topology course
GeoTop summer project 2022: Universality of Symmetric Monoidal structures (here is the project plan and brief draft)
Poster presentation 2018: Literature Review on Riemann Hypothesis (poster)