Yifeng Huang (黄奕烽)

• Unit equations on quaternions, to appear in the Quarterly Journal of Mathematics. arXiv preprint of an old version
• Rationality for the Betti numbers of the unordered configuration spaces of points on the punctured torus, with Gilyoung Cheong. arXiv preprint

See handwritten notes and slides for talks on it.

• Cohen-Lenstra distributions via random matrices over complete discrete valuation rings with finite residue fields, with Gilyoung Cheong, submitted. arXiv preprint

• Student Combinatorics, University of Michigan–Ann Arbor (Sep 29, 2020). handwritten notes
• Rutgers Algebra Seminar, Rutgers University (Sep 23, 2020).
• UMN Combinatorics and Commutative Algebra Seminar, University of Minnesota (Sep 18, 2020).
• RTG: Number Theory Seminar, University of Michigan–Ann Arbor (Jul 29, 2020).

I have taught MATH 105: Data, Functions and Graphs, MATH 115: Calculus I, MATH 116: Calculus II and EECS 203: Discrete Mathematics. I am not teaching in the current semester (Fall 2020).

• Handwritten notes on mass formulae predicting the distribution of number field discriminants, following a paper by Manjul Bhargava, for the final presentation of a topic course on arithmetic statistics in Winter 2020. It contains an attempt to explain a subtle mismatch in the quadratic case.
• Expository notes on quadratic forms and quadratic fields.
• Notes on elliptic curves with complex multiplication, attempting to fix a gap in Silverman's Advanced Topics in the arithmetic of elliptic curves, Theorem II.4.1.
• Notes on abelian varieties, written as final projects of the algebraic geometry course in Winter 2016 and the abelian variety course in Fall 2017.
• Two introductory notes on Chern classes. via Schubert calculus, via differential geometry

• Contract bridge. I regularly play in the rubber bridge sessions organized by Prof. Mel Hochster in the department (before COVID-19, of course). Now I play on Bridge Base Online casually. I once played in an ACBL tournament in Jackson, MI with partner Kwun “Angus” Chung. View results
• Music. I mainly listen to classical music. I try to maintain a regularly updated list of pieces I find interesting but not too well-known.
• Board games. I like strategic board games in general. My current favorites are Terraforming Mars, Innovation and Seasons. Light abstract games with interesting interactions among simple rules (e.g. Santorini and Red 7) are great intermezzi for any game night. The Board Game Arena is a great website during the quarantine. This simplistic virtual tabletop has the potential to play many party games virtually. (Ask me how!)
• Video games. I like puzzle games with creative mechanisms. My all-time favorites are Baba is you, Recursed, not to mention the classic Braid.
• Languages. Anything about languages. Etymologies. Sound shifts. Wordplays. Bad jokes and puns.