Cornelia Van Cott is a geometric topologist, studying knots, surfaces, and the interplay between three and four-dimensional topology.
- Chair, Mathematical Association of America, Golden Section (2019 —2021)
- Department Chair, Mathematics and Statistics (2017 — 2020)
- PhD, Mathematics, Indiana University, 2008
- Knot theory and low dimensional topology, particularly the interplay between three and four-dimensional topology observed in the knot concordance group
- Selected Publications
Johnson, S., Manny, L., Van Cott, C., and Zhang, Q. "A look at generalized perfect shuffles," accepted at Involve, a Journal of Mathematics.
Jabuka, S. and Van Cott, C. "On a nonorientable analogue of the Milnor Conjecture," accepted at Algebraic & Geometric Topology.
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.
Van Cott, C. "The integer hokey pokey," Math Horizons, 28 (2021) no. 2, 24 – 27.
Jabuka, S. and Van Cott, C. "Comparing nonorientable three genus and nonorientable four genus of torus knots," Journal of Knot Theory and its Ramifications, 29 (2020), no. 3, 15 pages.
Livingston, C. and Van Cott, C. "The four-genus of connected sums of torus knots," Mathematical Proceedings of the Cambridge Philosophical Society, 164, (2017), no. 3, 531 – 550.