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Michael Abel, Visiting Assistant Professor

Michael Abel
Contact Info:
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 (Fall 2017):

  • MATH 212.11, MULTIVARIABLE CALCULUS Synopsis
    Social Sciences 124, TuTh 03:05 PM-04:20 PM
  • MATH 401.01, INTRO ABSTRACT ALGEBRA Synopsis
    Physics 259, TuTh 01:25 PM-02:40 PM
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
Office Hours:

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

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

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320