Research interests: Discrete and combinatorial geometry. Problems of particular interest to me involve colorings of the plane, inscribing figures, and combinatorial questions about finite point configurations.

Some recent work:

• Crossing fans of segments determined by a finite point set (with Brenna Peever)
• On some numbers related to the Erdos-Szekeres Theorem (with William Webb)
• Minimum Sets Forcing Monochromatic Triangles (with Arie Bialostocki)

General interest:

• Using mathematics to approach big questions -- a talk on the philosophical implications of modern mathematics I prepared for the UI Interdisciplinary Colloquium
  • HTML version
  • PDF version -- about 900 KB)
• That which surpasses all understanding -- a reworking of the ideas in the above talk from the perspective of Mormon theology, and published in Diaglogue: a Journal of Mormon Thought.
• The Inscribed Squares Problem -- a webpage I developed on one of my favorite unsolved mathematics problems

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