Page Not Found
Page not found. Your pixels are in another canvas.
Sitemap
A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
Pages
Hi!
Welcome to Keita’s website.
Notes and talks
Some expository writing
Research
Some math I’ve thought about.
Posts
portfolio
projects
Synthetic equivariant spectra for finite abelian groups and motivic homotopy theory
With Lucas Piessevaux. Draft available here.
For any finite abelian group \(A\), we introduce a category of synthetic $A$-spectra, which generalizes the category of even \(\mathrm{MU}\)-synthetic spectra introduced by Pstrągowski. For any prime \(p\), we show that this category is \(p\)-complete equivalent to a cellular subcategory of the \(\mathbb{C}\)-motivic \(A\)-equivariant stable homotopy category, providing it with a purely topological model.
publications
talks
The motivic lambda algebra.
Talk notes, Leadership Alliance National Symposium, 2022
A talk provided to non-mathematicians motivating (no pun intended) the motivic lambda algebra.
teaching
Interphase EDGE 2021.
Summer course, MIT Office of Minority Education, 2021
I was a multivariable calculus TA, helping rising MIT first-year students from underprivileged backgrounds.
18.02.
Undergraduate course, MIT Math Dept., 2022
I was a TA for 18.02 (multivariable calculus).
undergradprojects
Complexity of computing homotopy groups of spheres
Draft available here.
I studied a 1957 algorithm of E.H. Brown, which can be used to determine the homotopy groups of any space obtained as the realization of a finite simplicial set.
Computing the homology of the motivic lambda algebra
Draft available here.
I investigated generalizations of the Curtis algorithm, an inductive process for computing the homology of the lambda algebra, to determining motivic Adams \(E_2\) pages.