Dr. Thomas Kindred

Teacher Scholar Postdoctoral Fellow

Dr. Kindred’s

  • BA (2007) with highest honors in mathematics from Williams College (Advisor: Colin Adams)
  • MS (2014) in mathematics from the University of Iowa (Advisor: Charlie Frohman) 
  • PhD (2018) in mathematics from the University of Iowa (Advisor: Charlie Frohman) 
Geometric and combinatorial topology, mainly in dimensions 3 (classical knot theory, spanning surfaces, Khovanov homology) and 4 (knotted surfaces, trisections), but also in arbitrary dimension (multisections)
  • Smooth multisections of odd-dimensional tori and other manifolds, submitted to Alg. Geom. Topology, arXiv: 2010.14911.
  • A geometric proof of the flyping theorem, submitted to Advances in Mathematics, arXiv: 2008.06490.
  • Nonorientable spanning surfaces for knots, Chapter 23 in the Concise Encyclopedia of Knot Theory, 197-204.
  • Crosscap numbers of alternating knots via unknotting splices, Internat. J. Math. 31 (2020), no. 7, 2050057, 30 pp.
  • Alternating links have representativity 2. Alg. Geom. Topology 18 (2018), no. 6, 3339-3362.
  • Plumbing essential states in Khovanov homology, New York J. Math. 24 (2018), 588-610.
  • Heegaard diagrams corresponding to Turaev surfaces (with Cody Armond and Nathan Druivenga), J. Knot Theory Ramifications 24 (2015), no. 4, 1550026, 14 pp.
  • A classification of spanning surfaces for alternating links (with Colin Adams), Alg. Geom. Topology 13 (2013), no. 5, 2967-3007.
Calculus 1
Family, ultimate frisbee, disc golf, chess, horticulture

 

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