Nathaniel Johnston @NathanielMath
Associate Professor of Mathematics at Mount Allison University I have moved over to BlueSky: @njohnston.ca njohnston.ca New Brunswick, Canada Joined November 2021-
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Has anyone tried outsourcing their entire research program to MathOverflow? Seems a lot easier than actually doing research. Anyway: mathoverflow.net/questions/4795…
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Our paper about the new determinant formula is published! cambridge.org/core/journals/… Really fun to write a paper with @robinhouston and @apgox, and really neat to write a paper that stemmed from Twitter, of all places ().
Our paper about the new determinant formula is published! cambridge.org/core/journals/… Really fun to write a paper with @robinhouston and @apgox, and really neat to write a paper that stemmed from Twitter, of all places ().
Over 15 years ago, I wrote a blog post with some formulas involving maximal self-avoiding walks (njohnston.ca/2009/05/on-max…). At the end of last month, @jpantone et al posted a paper that improves upon those results in ridiculously impressive ways (arxiv.org/abs/2407.18205).
Fun fact for quantum information folks: if rho and sigma are separable density matrices (mixed quantum states) then their Hadamard product is separable as well. I somehow didn't notice this until today. Is this used anywhere?
Minimal superpermutations are too hard. Solution: generalize and a problem that is easier!... in all cases except for the case we actually care about. New video: youtu.be/Uds_fgle37c
A 1993 math paper that I'm reading mysteriously has lots of "w"s missing. Anyone have any insight onto why this might have happened? Is there some software that was commonly used back then that could've led to this problem, or is it likely just a find-and-replace mistake?
Why does every single graph on Twitter say something like “Source: A questionnaire by The Washington Post” on it with no URL or further information? Half a step away from writing “Source: Internet” but people do it completely unironically.
It’s never too early to teach the kids about quantum computing.
Dave Greene is doing an Ask-Me-Anything about Conway's Game of Life and our book: news.ycombinator.com/item?id=401315…
Nathaniel Johnston retweeted
Has anyone studied the optimal packing of quarter-discs into a square? @StockansOatcake
Starting a series of video tutorials for pattern construction in Conway's Game of Life. Video #1 is now up, which discusses how to put together Herschel tracks, and thus oscillators/glider guns of any period >= 61: youtube.com/watch?v=eZ9BBc…
Making a Manim package to produce pretty Game of Life videos.
Andreas Winter solving the real problems of quantum information theory this April 1. arxiv.org/abs/2403.19977
Solving the "Lights Out" Puzzle via Linear Algebra (Holy cow I hope these start to take less time to make as I get more comfortable with Manim...) youtu.be/1izbpSk3ays
First true period 15 and 16 glider guns found in Conway's Game of Life. Now that omniperiodicity of oscillators is solved, how long until omniperiodicity of true period glider guns? youtu.be/dfmCyrfxkTM
After a 3-year hiatus, I'm back making math videos: youtube.com/watch?v=xtdjMg…
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