Michael Abel, Visiting Assistant Professor

Contact Info:

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

Teaching (Spring 2018):

• MATH 222.01, ADV MULTIVARIABLE CALCULUS Synopsis

  Physics 235, TuTh 11:45 AM-01:00 PM

• MATH 401.01, INTRO ABSTRACT ALGEBRA Synopsis

  Physics 235, TuTh 10:05 AM-11:20 AM

• MATH 353.01, ORD AND PRTL DIFF EQUATIONS Synopsis

  Physics 235, MTuWThF 09:30 AM-10:45 AM

Office Hours:

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

Education:

D.Phil.	University of North Carolina at Chapel Hill	2014
BA	University of Virginia	2009

Specialties:

Topology
Algebra

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]