Relatively Prime: Stories from the Mathematical Domain

This month's Relatively Prime is all about classification. Samuel is joined by Fabian Müller of zbMath for a discussion of the Mathematics Subject Classification, the benefit of using a hierarchical scheme to organize mathematics, and the work Fabian is doing to help revise MSC as a part of MSC 2020. This is a really important work which effects your ability to search and find the mathematical work you are need, so please think about taking part.

In this chapter of Diegetic Plots on Relatively Prime Larry Lesser shares the poem "The M Word" and there is a very unfortunate customer service call at Kroneckea.

Many thanks must go to Bree Prehn for no particular reason for this episode.

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Music

Jahzzar

Alive

Encedalus

Freaks

On this episode so Relatively Prime Samuel talks with former office mate at UNLV Cody Palmer. When this conversation was recorded Cody was a PhD student at the University of Montana and has since moved on to become a Postdoctoral Research Scientist at the Institute for Disease Modeling. Samuel and Cody talk about the research Cody did into Tick-Borne Relapsing Fever and how the number of relapses effect its dynamics, plus some advice on burger toppings and the worst(or the best) research strategy to use when studying an infectious disease spread by biting insects.

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Samuel has been feeling a bit nostalgic recently and was thinking about an old show we can almost guarantee you have never heard of, called Science Sparring Society. It was all based around this idea that from a Frank Swain tweet to make a podcast that told the stories of fights from the history of science. It was so much fun making this show, and Samuel was always sad that more people did not get the chance to hear it. Which is exactly why this episode features the two mathematical fights from the 2012 podcast Science Sparring Society. Thankfully the topics were history already when the show first came out.

Episode 1:

The first fight to be featured in the Science Sparring Society is between the two biggest intellectual heavyweights of the late 17th Century, Isaac Newton and Gottfried Leibniz. Their battle over the Calculus was so epic they call it a war!

Episode 7:

For the seventh bout we bring to you the fight of infinity. Pitting two of the greatest mathematical minds of their generation against one another, the fight over infinity changed the face of mathematics itself. In the corner of multiple infinities was Georg Cantor and fight for the finite was Leopold Kronecker. You will have to listen to find out who won, and who hits below the belt.

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Music:

Liverpool Guitar Society

DJlo

CameronMusic

folkcello

Rob Simpson

T.C. Randolph

ejlflop

Bleerix

We are happy to bring to you a special holiday episode of Relatively Prime during this festive period. Samuel is joined by old pals Katie, Peter, and Christian from the Aperiodical for an often funny, sometimes serious, and always entertaining conversation about the phenomenon of formulas for "The Perfect X" which are often seen in newspapers, especially around the holidays. Some of the examples discussed were the perfect Christmas song, perfect Christmas tree, perfect penalty kick, perfect scone cream ratio, perfect Christmas day, and here are plenty of other ones too that the Aperiodical has gathered. Happy Holidays!!!

It is that time of year where you, and everyone else, is coughing and sniffling and sneezing and generally getting gross germs all over the place. That is why for this episode of Relatively Prime Samuel Hansen speaks with Benjamin Morin about infectious disease modeling and the best mitigation strategies those models indicate to deal with disease while minimizing cost, both for individuals and for societies. Fair warning, those best strategies may be depressing and definitely not what Samuel was hoping for.

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Music

Supermilk

Sure DNA is important, some might even claim it is absolutely integral to life itself, but does it contain any interesting math? Samuel is joined by UC-Davis Professor of Mathematics, Microbiology, and Molecular Genetics Mariel Vazquez for a discussion proves conclusively that mathematically DNA is fascinating. They talk about the topology of DNA, how knot theory can help us understand the problems which occur during DNA replication, and how some antibiotics are really pills of weaponized mathematics.

Have you ever wondered what mathematicans' favorite theorems were? How about what food or music pairs perfectly with those theorems? Well whether your answer to those questions was yes or no or what are you talking about there is a new mathematics podcast on the scene you need to check out called My Favorite Theorem.

My Favorite Theorem is the brain child of Kevin Knudson and Evelyn Lamb. You may recognize those names as a writer who contributes to The Conversation, Forbes, and is a mathematics professor at the University of Florida and as freelance mathematics journalist who runs the Scientific American blog Roots of Unity. They were kind enough to talk to me early in the morning about where the idea for the show came from, why the pairings are so cool, and how mathematical audio can help humanize mathematicians. Oh, and I make them come up with a pairing for our conversation. Plus, as a super special bonus they were kind enough to let me share episode 3 of My Favorite Theorem with Emille Davie Lawrence as part of the episode. I know you will soon have another podcast added to you subscription list.

Mathematics has been showing up in the news a lot more than usual lately. It has shown up in Slate, The New York Times, and The New Yorker and each time it has been accompanied by one other word, gerrymandering. While Relatively Prime has covered gerrymandering once before in the season 2 episode Mathematistan(a story we just rereleased as an encore presentation in the feed so y'all can get a refresher on the mathematics of gerrymandering) so many important new things have been happening recently it seemed very important to talk about it again.

The first interview in this episode is with Eric McGhee, a research fellow at the Public Policy Institute of California, who developed a new test for gerrymandering called the Efficiency Gap which takes into account wasted votes. Eric's work on the Efficiency Gap with his research partner Nicholas Stephanopoulos was integral to the argument in Gail v. Whitford the Wisconsin gerrymandering case going before the Supreme Court this October.

Samuel is then joined by Moon Duchin, a mathematics professor at Tufts University. Moon is the head of the new Metric Geometry and Gerrymandering Group. They are all about intersection of mathematics, technology, and redistricting. One of their big focuses is a series of conferences, the first one in Boston just recently took place, where they have a couple of days of public lectures and panels and then private workshops where they train PhDs to be expert redistricting witnesses and consultants, provide mathematical educators with tools to integrate gerrymandering into their curriculums, and hold a hackathon to develop tools for analyzing redistricting plans. Future conferences are coming up in WIsconsin, North Carolina, and Texas.

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Gerrymandering - the dividing of a state, county, etc., into election districts so as to give one political party a majority in many districts while concentrating the voting strength of the other party into as few districts as possible.

Few aspects of politics are as clearly open to mathematical analysis as gerrymandering. Just looking at district maps seems to scream for geometric analysis, and there really are a lot of different tests out there. Samuel spoke to David Austin about some potential gerrymandered districts and ways to test for them, then things got a bit bizarre. Samuel also sat down with Jonathan Hodge to talk about a technique Hodge helped develop to test for gerrymandering called the Convexity Coefficient.

Not all of the ways to test for possible gerrymandering rely on geometry. Duke University Professor Jonathan Mattingly and his former student Christy Vaughn, she is currently a graduate student at Princeton, decided to use probability theory to check to see if the districts used in North Carolina’s 2012 elections had been drawn fairly. The results were eye opening.

Don't forget to support Relatively Prime on Patreon and make sure Samuel can afford to make rent next month.