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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.
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Welcome to Keita’s website.
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Some talks and expository writing
Some math I’ve thought about.
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This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
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Short description of portfolio item number 1
Short description of portfolio item number 2
Published in Journal 1, 2009
This paper is about the number 1. The number 2 is left for future work.
Recommended citation: Your Name, You. (2009). "Paper Title Number 1." Journal 1. 1(1). http://academicpages.github.io/files/paper1.pdf
Published in Journal 1, 2010
This paper is about the number 2. The number 3 is left for future work.
Recommended citation: Your Name, You. (2010). "Paper Title Number 2." Journal 1. 1(2). http://academicpages.github.io/files/paper2.pdf
Published in Journal 1, 2015
This paper is about the number 3. The number 4 is left for future work.
Recommended citation: Your Name, You. (2015). "Paper Title Number 3." Journal 1. 1(3). http://academicpages.github.io/files/paper3.pdf
Talk notes, Chroma 2022 summer seminar, 2022
I gave a high-level overview of spectra and their relations to (co)homology theories. The talk was provided for Chroma 2022, an undergraduate-run summer seminar in stable/chromatic homotopy theory.
Talk notes, Leadership Alliance National Symposium, 2022
A talk provided to non-mathematicians motivating (no pun intended) the motivic lambda algebra.
Summer course, MIT Office of Minority Education, 2021
I was a multivariable calculus TA, helping rising MIT first-year students from underprivileged backgrounds.
Undergraduate course, MIT Math Dept., 2022
I was a TA for 18.02 (multivariable calculus).
Summer research, MIT Math Dept., 2021
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.
Summer research, University of Chicago - Math REU and Leadership Alliance SR-EIP, 2022
The classical lambda algebra is a differential graded algebra, whose homology is the \(E_2\) page of the Adams spectral sequence computing the stable homotopy groups of spheres. I investigated generalizations of the Curtis algorithm, an inductive process for computing this homology, to determining motivic Adams \(E_2\) pages.