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Thesis Advisor: Dr. Francis Su (Harvey Mudd College - Department of Mathematics)
Second Reader: Dr. Cosmin Pohoata (Institute for Advanced Study - School of Mathematics)
Contact: kperkins@hmc.edu
Discrete Analogues of the Poincaré-Hopf Theorem
Discrete Analogues of the Poincaré-Hopf Theorem
My thesis considers two discrete formulations of the Poincaré-Hopf index theorem, which is a powerful theorem that relates analysis, topology, and combinatorics.
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