Cornelia Van Cott
Professor
Biography
Cornelia Van Cott is a geometric topologist, studying knots, surfaces, and the interplay between three and four-dimensional topology.
Research Areas
- Knot theory and low dimensional topology, particularly the interplay between three and four-dimensional topology observed in the knot concordance group
Appointments
- Honors College Faculty Chair in the Sciences
- Chair, Mathematical Association of America, Golden Section (2019 —2021)
- Department Chair, Mathematics and Statistics (2017 — 2020)
Education
- PhD, Mathematics, Indiana University, 2008
Selected Publications
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Martin, M., Van Cott, C., and Zhang, Q. "The beauty of halving it all," Math Horizons, 31 (2024) no. 2, 14 – 17.
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Hoste, J., Shanahan, P. D., Van Cott, C. "On the nonorientable 4-genus of double twist knots," Journal of Knot Theory Ramifications, 32 (2023), no. 5, 30 pages.
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Johnson, S., Manny, L., Van Cott, C., and Zhang, Q. "A look at generalized perfect shuffles," Involve, 14 (2021), no. 5, 813–828.
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Jabuka, S. and Van Cott, C. "On a nonorientable analogue of the Milnor Conjecture," Algebraic & Geometric Topology, 21 (2021), no. 5, 2571–2625.
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Hoste, J., Shanahan, P. D., and Van Cott, C. "Crosscap number and epimorphisms of two-bridge knot groups," Journal of Knot Theory and its Ramifications, 30 (2021), no. 4, 20 pages.
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Van Cott, C. "The integer hokey pokey," Math Horizons, 28 (2021) no. 2, 24 – 27.