Professor of Mathematics
With Pitzer Since: 1989
Field Group: Mathematics
Campus Address: Bernard 205
Office Hours: Mondays 2:30 p.m.-3:30 p.m.; Wednesdays & Fridays 3:00 p.m.-4:00 p.m.
PhD, University of Utah
AB, MA, University of California, Berkeley
Low-dimensional topology, knot theory, computer applications to topology
“Twisted Alexander Polynomials of 2-bridge Knots,” Journal of Knot Theory and its Ramifications. vol. 22, no.1 (June 2012). With Patrick D. Shanahan.
“Upper Bounds in the Ohtsuki-Riley-Sakuma Partial Order on 2-bridge Knots,” Journal of Knot Theory and its Ramifications, vol. 21, no. 9 (2012). With Scott M. Garrabrant and Patrick D. Shanahan.
“Epimorphisms and Boundary Slopes of 2-bridge Knots,” Algebraic and Geometric Topology, vol.10 (2010). With P. D. Shanahan.
“Sampling Lissajous and Fourier Knots,” Journal of Experimental Mathematics, vol.18, no.4 (2009). With A. Boocher, G. Daigle and W. Zhang.
“Torus Knots Are Fourier-(1, 1, 2) Knots,” Journal of Knot Theory and Its Ramifications, vol. 18, no.2 (2009).
Mathematica Demystified. New York: McGraw-Hill, 2009.
“Lissajous Knots and Knots with Lissajous Projections,” Kobe Journal of Math, vol.24, no.2 (February 2007). With L. Zirbel.
“Commensurability Classes of Twist Knots,” Journal of Knot Theory and Its Ramifications, vol.14, no.1 (February 2005).
Selected Conference Presentations and Invited Talks
“The Alexander Polynomial,” lecture presented at the Invited Paper Session on Knot Theory Untangled, the Mathematical Association of America Joint Mathematics Meetings, Boston, MA, January 2012.
“Twisted Alexander Polynomials of 2-bridge Knots,” paper presented at Knots in Washington XXXIV, George Washington University, Washington, DC, March 2012, and at the American Mathematics Society Meeting No. 1080, Washington, DC, March 2012. With P. Shanahan.
“Lissajous, Fourier and Chebyshev Knots,” paper presented at the Claremont Colleges Mathematics Colloquium, Claremont, CA, April 2009.
“Lissajous and Fourier Knots,” paper presented at the Oklahoma State University Mathematics Colloquium, Stillwater, OK, November 2008.
“On the Partial Ordering of 2-Bridge Knots,” paper presented at the 11th Chico Topology Conference and 40-th Cascade Topology Seminar, California State University Chico, Chico, CA, May 2008.
Selected Grants, Honors and Awards
Appointed associate editor of Involve, a journal of mathematics, June 2012.
Chair, Committee on the Profession, American Mathematical Society, 2007-08.