The Trailhead

What a PhD Mathematician Learned About Running 100 Miles

Jan 6, 2026
Pat Cade, PhD mathematician and Leadville teacher/coach who has finished the Leadville 100 multiple times, shares stories from life at 10,000 feet. He talks about choosing Leadville, building a community of athlete-teachers, and why coaching is more conversation than commands. He explains how math habits mirror endurance training, why altitude changes recovery, and what the Dream Chaser fundraiser means to local students.
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ANECDOTE

From Academia To Mountain Town

  • Pat Cade moved from New York to Leadville after he and his wife left academia and prioritized living near mountains.
  • His wife got a math job and he found multiple roles in the school district, which anchored their life in Leadville.
ANECDOTE

A Coach Who Gave More Than Training

  • Pat credits an influential small-town high school coach for giving him shoes, jerseys, and life-changing support.
  • That experience inspired him to coach youth and invest in the next generation in Leadville.
ADVICE

Coach By Meeting Athletes Where They Are

  • Meet athletes where they are and adapt coaching to their goals rather than dictating one-size-fits-all plans.
  • Check in frequently with each athlete and question your knowledge to apply the right approach.
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