Education:
Ph.D., Boston College - 2016 (Pure Mathematics)
B.A., University of Chicago - 2009 (Mathematics (with honors), Biology)
Areas of Expertise:
Low-dimensional topology and geometry, with a focus on knot theory and braid theory.
Books and Publications
Feller, P. and Hubbard, D. "Braids with as many full twists as strands realize the braid index." Journal of Topology 12: 1069-1092. (Books and Publications: Article (Peer-reviewed)) 2019
Awards, Honors and Fellowships
AMS-Simons Travel Grant, to fund Hubbard's research travel during 2018-2020. $4400. (Grants and Fellowships) 2019
Research Activities
Invited group leader for Project 6: Homological invariants, braids, transverse links, and surfaces at the Women in Symplectic and Contact Geometry/Topology Workshop. The Institute for Computational and Experimental Research in Mathematics. Providence, RI. July 22-26. 2019
Conferences, Seminars and Symposiums
"On open book decompositions of contact manifolds and the fractional Dehn
twist coefficient." AMS Spring Sectional Meeting. Auburn, AL, March 16. (Conferences, Seminars and Symposiums: Invited Talk) 2019
"On the braid index of highly twisted braid closures." CUNY Geometry and Topology Seminar at the Graduate Center. New York, NY, May 14. (Conferences, Seminars and Symposiums: Invited Talk) 2019
"The braid index of highly twisted braid closures." 7th Midwest Women in Mathematics Symposium. Iowa City, IA, April 13. (Conferences, Seminars and Symposiums: Invited Talk) 2019
Professional Leadership
Gave a general interest talk titled "How You (Yes, You!) Can Find Pi" at the inaugural Pi Day Celebration in the Mathematics Department at Brooklyn College. March 14. (Professional Leadership: Public Service) 2019
Member, Outreach Committee. (Professional Leadership: Committee Service) 2019
Member, Seminars and Research Committee. (Professional Leadership: Committee Service) 2019
Pedagogical Achievements
Modified Math 4306: Introduction to Topology to cover both point-set topology and geometric topology using inquiry-based learning and active learning techniques. Students discovered much of the course content themselves through group activities and class discussion. 2019
Other Professional Activities
Designed and supervised an undergraduate honors project in Math 4306: Introduction to Topology. Spring. 2019