The Trailhead

What a PhD Mathematician Learned About Running 100 Miles


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Pat Cade has a PhD in mathematics, coaches high school cross country in Leadville, Colorado, and has finished the Leadville 100 six times. In this conversation, he explains what years of research math taught him about endurance: small steady progress compounds, inspiration only strikes if you're showing up every day, and sometimes the breakthrough comes when you stop following the plan and just go climb the mountain because it's beautiful outside.

Pat shares how he and his wife landed in Leadville after leaving academia in New York, and how they decided to pour their energy into coaching and teaching after facing infertility. He breaks down what actually makes a good coach (hint: it's not yelling), why training at 10,000 feet requires rethinking everything you learned about recovery, and what the Leadville 100's Dream Chaser program is all about. He also attempts to explain his dissertation, including whether the universe might be shaped like a donut, in terms anyone can follow. Zoë and Brendan are mostly able to keep up.

This episode is brought to you by LMNT, the tasty electrolyte drink mix with sodium, potassium, and magnesium. Pro tip for winter: heat up their chocolate salt or chocolate caramel flavors for a hydration hack that doubles as hot cocoa. And if you missed it, the fan-favorite lemonade salt is back full time. Get a free sample pack with any order at drinklmnt.com/ultrasignup.

Featured Race: The Salt and Sulphur 420 is a 420-mile journey run from Salt Lake City to West Yellowstone, traversing the Wasatch Range, Bear Lake, Jackson Hole, the Tetons, and finishing at the doorstep of Yellowstone. This isn't a stage race—it's a test of resourcefulness and mental grit across four states, with all proceeds benefiting the Women's Center in Salt Lake City. Registration closes February 1st. Learn more and sign up at ultrasignup.com/register.aspx?did=118718.

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