Michael Abel, Visiting Assistant Professor

Michael Abel
Office Location:  246 Langford Building
Office Phone:  (919) 660-2873
Email Address: send me a message
Web Page:  https://services.math.duke.edu/~maabel/

Teaching (Summer1 2018):

Office Hours:

Tuesday 10-11 AM, Thursday 3:30-4:30 PM, and by appointment.

D.Phil.University of North Carolina at Chapel Hill2014
BAUniversity of Virginia2009

Research Interests: Categorified Quantum Link Invariants

My research focuses on studying various constructions in homology theories categorifying certain quantum link invariants, more specifically Khovanov-Rozansky homologies.

Areas of Interest:

Knot Theory
Quantum Algebra
Homological Algebra

Recent Publications

  1. HOMFLY-PT homology for general link diagrams and braidlike isotopy (Preprint, June, 2016) [arxiv:1607.00314]
  2. with M. Hogancamp, Stable homology of torus links via categorified Young symmetrizers II: one-column partitions (Submitted, February, 2016) [arXiv:1510.05330]
  3. with L. Rozansky, Virtual crossings and a filtration of the triply graded homology of a link diagram (Submitted, February, 2015) [arXiv:1410.5892]