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I have taught several courses at UT Austin, including differential topology, discrete math, and a topics course on Floer theory and its applications. This semester I am teaching calculus (M408D). I am usually happy to do reading courses with undergraduate and graduate students at UT Austin interested in topology. Please don't hesitate to stop by! I served as a mentor for a high-school math research project through the Program for Research in Mathematics, Engineering, and Science (PRIMES) progam at MIT. Our project involved investigating the lattice homology of Seifert homology spheres. My students wrote a research paper, which can be found here! I have also run several directed reading courses for undergraduates through the Stanford Undergraduate Research Institute in Mathematics (SURIM), and also the Undergraduate Research Opportunities Program (UROP) at MIT. I am especially fond of using Lectures on the Topology of 3-Manifolds by Nikolai Saveliev; I think it gives a great (brief) introduction to several topics in low-dimensional topology! I was a student (and later a counselor) at the Program in Mathematics for Young Scientists (PROMYS) at Boston University. I highly recommend this experience for high school students who are interested in mathematics. |