Welcome

This is the homepage of Scott Wilson. I am an associate professor of Mathematics at Queens College, and a member of the doctoral faculty of Mathematics at The Graduate Center, CUNY. My research is in the geometry and topology of manifolds. I am particularly interested in algebraic structures associated to manfiolds, and their triangulations, as well as applications of these to modern physics. My most recent work is on differential K-theory and holonomy on bundles and their higher analogues.

Contact Info

Scott O. Wilson
609 Kiely Hall
65-30 Kissena Blvd
Queens, NY 11367 USA

e-mail:
scott.wilson AT qc.cuny.edu

Courses (Fall 2016)

Math 231: Linear Algebra I
Math 82900: Topics in Topology

Video Presentations

Chern Simons forms, free loop spaces,
and K-theory

Conferences and Workshops

Recent:

  • Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry, at Simons Center for Geometry and Physics, visiting Jan. 1 2015-Jan 31. 2015.
  • CUNY workshop on differential cohomologies CUNY Graduate Center, Aug. 12-14, 2014.
  • String Geometry and Loop Spaces Institute for Mathematics at Greifswald, July 28- Aug. 1, 2014.

    • Recent Papers and Preprints

  • Differential K-theory as equivalence classes of maps to Grassmannians and unitary groups, with Thomas Tradler and Mahmoud Zeinalian, New York Journal of Mathematics, Vol. 22 (2016), p. 527-581.
  • One more proof of the index formula for block Toeplitz operators, with Thomas Tradler and Mahmoud Zeinalian, Journal of Operator Theory, 76(1):2016, p. 101-104.
  • A loop group extension of the odd Chern character, Journal of Geometry and Physics, Vol 102, p. 32-43.
  • Loop differential K-theory, with T. Tradler and M. Zeinalian. Annales Mathematiques Blaise Pascal, Vol 22, No. 1, p. 121-163, 2015.
  • Pseudodeterminants and perfect square spanning tree counts, with J. L. Martin, M. Maxwell, V. Reiner, Journal of Combinatorics, Vol. 6, Num. 3, 295-325, 2015. arxiv:1311.6686
  • An elementary differential extension of odd K-theory, with T. Tradler and M. Zeinalian, J. of K-theory, volume 12, issue 02, Oct. 2013, pp. 331-361. arxiv:1211.4477
  • Equivariant holonomy for bundles and abelian gerbes, with T. Tradler and M. Zeinalian, Comm. Math. Phys., Vol. 315, Issue 1, 2012, pg 38-108.
  • Homotopy DG algebras induce homotopy BV algebras, with John Terilla and Thomas Tradler, J. of Homotopy Related Structures, vol 6 (1), 2011, pp. 177-182.
  • Differential forms, fluids, and finite models, Proc. of Amer. Math. Soc. 139 (2011), 2597-2604.
  • Rectifying partial algebras over operads of complexes, Topology and Its Appl., Vol 157, Issue 18, Dec. 1, 2010, 2880-2888.
  • Some algebra and applications related to mapping spaces, joint with T. Tradler and M. Zeinalian, Mathematisches Forschungsinstitut Oberwolfach, Report No. 28 2009, Strings, Fields and Topology. June 7-13 2009.
  • Conformal cochains, Trans. Amer. Math. Soc. 360 (2008), 5247-5264. Addendum.
  • Cochain algebra on manifolds and convergence under refinement, Topology and its Appl, 154 no. 9 (2007) 1898-1920.