Alexander Coward

Research interests: Topology, Geometry, Algorithms.

Mathematics Department
One Shields Avenue
University of California
Davis
CA 95616

Mathematics Department Office: 2214
Phone: +1 (530) 746 8723
Fax: +1 (530) 752 6635
Email: coward(at)math.ucdavis.edu

• 1. Ordering the Reidemeister moves of a classical knot, Alg. Geom. Top. 6 (2006) 659-671.
• 2. (Joint with Marc Lackenby) Unknotting genus one knots, Comment. Math. Helv. 86 (2011) 383-399.
• 3. Algorithmically detecting the bridge number of hyperbolic knots, submitted.
• 4. (Joint with Marc Lackenby) An upper bound on Reidemeister moves, submitted.
• 5. (Joint with Joel Hass) Topological and geometric knot theory are not equivalent, in preparation.
• 6. Unknotting crossing changes and circular Heegaard splittings, in preparation.
• 7. (Joint with Joel Hass) Level-n normal surface theory, in preparation.

• 1. A bound for orderings of Reidemeister moves by Julian Gold

• Detecting the bridge number of hyperbolic knots.

• Unknotting genus one knots.

• An upper bound for Reidemeister moves.

• Unknotting crossing changes and circular Heegaard splittings.

• 16A (Fall 2008)
• Graduate Course: Knots and Surfaces 3-manifolds (Fall 2008)
• Mini-course on normals surfaces and their applications (Fall 2008)
• 22B (Winter 2009)
• Advanced class on the Qiu-Scharlemann proof of Gordon's conjecture (Winter 2009)
• 16C (Spring 2009)
• 22B (Fall 2010)
• 16B (Spring 2011)
• Topology 147 (Spring 2011)
• 21D (Fall 2011)

• Topology and Groups (Michaelmas 2009)

• Calculus for students of the Advanced Education Program

• COSMOS Cluster 5 (Summer 2009)
• COSMOS Cluster 6 (Summer 2010)