miscellany
visualization:
Handmade .gifs
This is a "vintage" (i.e. pre-ipad ownership) animation I made of an isotopy.
Pipecleaners
I sometimes use pipecleaners to model knots and surfaces.
resources (a.k.a. links I have found helpful that you may, too):
Quanta Magazine has some great articles on developments in topology, including the triangulation and geometrization conjectures.
This article by Lee Rudolph and Bill Menasco on the unknotting number (featuring some gorgeous pictures!).
My PhD advisor, Josh Greene, wrote a beautiful survey on Heegaard Floer homology.
Andrew Lobb's AMS Notices article, A Feeling for Khovanov Homology, says a bit about how low-dimensional topologists do research.
BEAM founder Dan Zaharopol explains his thought process behind creating thoughtful STEM outreach programs for traditionally underrepresented students in mathematics.
Reva Kasman's thoughts on being a teaching mentor.
Justin Lanier and Marissa Loving discuss goals to keep in mind while designing equity-minded online programs.
This blog post by Jasmine Kwasa provides some great guidance for first time fellowship applicants (I wish it existed when I was a grad student!).
Allison N. Miller's thoughtful piece disability and chronic illness in mathematics.
This video by Henry Segerman features lots of trefails!
Andy Putnam has a great collection of notes, including a slick proof of the classification of surfaces.
Milnor has some great (somewhat technical, depending on your background) surveys on various topics, including the Poincaré conjecture in all dimensions, the Poincaré conjecture in dimension 3, and infinite cyclic covers.
This interview with Candice Price contains many nuggets of teaching wisdom.
Ravi Vakil's suggestions for graduate students (it is pitched as advice for students who want to work for him, but it is very widely applicable).
instagram:
Inspired by Liam Watson's @mathonmydeskrightnow, I started my own topologically inclined instagram account: @knotoffthepress.
postcard from a geometric topologist:
As lead organizers of the Nearly Carbon Neutral Geometric Topology Conference 2021, we (Martin Bobb, Allison N. Miller, and myself) solicited mathematical postcards from the participants. Here's mine!
("Amma" and "Appa" mean "mom" and "dad", respectively, in my mother tongue.)
other:
I'm better friends with Elizabeth Warren than Kyle Hayden is.