Contact: nmasuda2(at)jhu.edu

I am a fifth year graduate student at Johns Hopkins. I am interested in homotopy theory, topology, category theory and related topics.

- Global critical chart for local Calabi-Yau threefolds: For an $n$-dimensional smooth variety $Y$, we describe the derived category of the total space of a $\omega_Y$-torsor as a certain deformed (n+1)-Calabi--Yau completion of the derived category of $Y$. The result is used by Tasuki Kinjo and Naoki Koseki to prove the cohomological chi-independence conjecture for Gopakumar--Vafa invariants. Joint work with Tasuki Kinjo.

- The Diagonal of the Associahedra: A new geometric/combinatorial way to understand and construct Alexander-Whitney type maps of polytopes applied to associahedra. Joint work with Hugh Thomas, Andy Tonks and Bruno Vallette.

- Tensor product of categorical spectra, 高知ホモトピー論談話会 (Kochi homotopy theory workshop), December 28, 2022
- The diagonal of the associahedra, UPenn Deformation Theory Seminar, November 1, 2021 [notes]

- I co-organize JHU topology seminar since fall 2022.
- I organize prismatic cohomology seminar spring 2023 with David Gepner and Milton Lin.

- The slides for the Oral exam.
- eKan seminar notes on Thomason's "Algebraic K-theory and etale cohomology."
- notes for JHU Number theory learning seminar on Katz's "Serre-Tate local moduli."
- notes for JHU Number theory learning seminar on Deligne--Illusie's "Relèvements modulo p^2 et decomposition du complexe de de Rham."
- Geometric Morphism: Handwritten notes for JHU category seminar on topos theory, roughly following chapter 7 of "Sheaves in Geometry and Logic" by Mac Lane and Moerdijk.
- Seminar Notes on infinity-operads as analytic monads, liveTeXed by Emily Riehl. I gave one of the talks, following section 4 of the paper, Initial Algebras and Free Monads.
- Bar-cobar and Koszul duality for algebraic operads: Notes for JHU category seminar, may contain lots of typos. handwritten version with more pictures
- notes on past quals algebra problems from when I lead review sessions for first-year graduate students (may contain wrong solutions. large file).