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My mathematical research interests are primarily in geometric topology. Currently I like thinking about convex projective structures on manifolds and orbifolds.
Several years ago I worked with Bill Thurston on a project building surfaces out of paper and craft foam. To see some of our creations, check out the surface gallery. This project led to my involvement with the Bridges: Mathematics, Art, Music, Architecture, and Culture organization. In addition to celebrating the connections between mathematics and the arts, it also is a great conference for those interested in creative ways to illustrate and share mathematics with their students, and the general public.
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Publications:
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Kelly Delp, Craig S. Kaplan, Douglas McKenna, and Reza Sarhanghi, editors. Proceedings of Bridges Baltimore: Mathematics, Art, Music, Architecture and Culture. (2015). Tessellations Publishing, Pheonix, Arizona.
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(with Sam Lloyd*) Into the Shadows: Approximating Images by Orthogonal Projection. Bridges Baltimore Conference Proceedings, (2015), 515-519.
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(with Michael Filipski*) Two-Parameter Taxicab Trig Functions , Involve, Vol. 8 No. 3, (2015), 467-480.
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Stripey Squares. Bridges Seoul Conference Proceedings, (2014), 73-78.
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High Fashion Meets Higher Mathematics. In Mircea Pitici, (Ed.) The Best Writing on Mathematics 2013 (pp.109-119), Princeton University Press, (2014).
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High Fashion Meets Higher Mathematics, Math Horizons, (November 2012), 5-10.
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(with William Thurston) Playing with Surfaces: Spheres, Monkey Pants and Zippergons. Bridges Coimbra Conference Proceedings (2011), 1-8.
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(with Daryl Cooper) The marked length spectrum of a projective manifold or orbifold. Proceedings of the AMS, 138 (2010), 3361-3376.
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Almost periodic flows on 3-manifolds. Algebraic Geometric Topology, 7 (2007), 157-180.
* indicates undergraduate status at the time of the project.
