
Mike Lawler
@mikeandallie
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former math professor, current math and ultimate frisbee enthusiast. Love making fun math videos with my kids.
Joined August 2009
The passage below is from the 1973 paper on option pricing by Black and Scholes. I think about these conditions a lot when people use option pricing formulas for things lik ereal estate valuations or projections on what an airplane will be worth in 10 years.
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3 year memory from FB - I finally brought my NeXT home from the office. My favorite computer ever.
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Fun problem for high school students that I saw in a 5 year fb memory. Also a fun fact!
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I was scrolling through twitter way too fast and thought that @GothamChess won a MacArthur Foundation genius grant
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This is a really interesting problem (that I initially misread). Probably outside of my ability to fully solve, but I plan to play around with it in my spare time for a while.
Here's a nice one from the latest Math Monthly (submit your solution if you solve it). Consider a biased coin with probability of heads p. Show if p is rational there exist k,n such that for n flips the probability of k or k+1 heads equals the probability of k+2 heads.
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I will never get over reading these two sentences in a Bloomberg article today.
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If you have students interested in sports analytics - at any age at all, and I mean middle school and up - show them this blog post. One of the nicest and clearest examples of data analysis that I've ever seen.
this might be the coolest blogpost I ever written I dove deep into: - player detection with RF-DETR - player tracking with SAM2 - team clustering with SigLIP and K-means - number recognition with SmolVLM2 and ResNet I hope you'll like it link: https://t.co/PPPGTD8L2v
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2/2 That said, the Mike Freedman lecture that I was at that I would **love** to see again was his lecture at the 1997 JMM (?? maybe ) in San Diego. The room was packed, and it was the best public math lecture that I've ever seen.
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FB reminded me that my high school calculus teacher died from ALS 12 years ago today. To honor his memory a little bit, here's the last question from the last test of the year: Compare the fundamental theorem of calculus to a taco salad. (10 points).
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I hate it when people put out graphs like this one, but at least it could lead to a good discussion for an intro stats class.
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Really no idea why this was promoted into my FB feed, but the general idea of estimating the total number of players to ever play in major league baseball could be a fun estimation project for 4th through 8th graders, I bet.
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The world is collapsing.
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In not really interested in the article, but what computation / strategy could be going on in the picture to have the strike through the 4?
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5/5 Then, really by just an incredible coincidence, I got a call about writing long dated puts in 2004. All that playing around with Bodie's paper suddenly paid off. As did understanding option pricing without collateral - which I don't think was really understood until 2008.
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4/5 A few years later I happened to run across Bodie's paper On the Risk of Stocks in the Long run. https://t.co/GsL0RkU1D5 Understanding and playing around with this paper was my real introduction to Black Scholes and to stochastic calculus. It was cool.
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3/5 His question was whether or not I could code up some of the formulas for him, because the people at his company were struggling with the math. I was able to make some Mathematica notebooks for them that worked pretty well. I didn't think much of it - this was probably 1995
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2/5 I didn't have any plans to go into finance in graduate school, but then a friend from college at a derivative shop asked me to take a look at the book Fractal Market Analysis by Edgar Peters.
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