Welcome

This is the homepage of Scott Wilson. I am an assistant 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 of bundles and their higher analouges.

Contact Info

Scott O. Wilson
211 Kissena Hall
65-30 Kissena Blvd
Flushing, NY 11367 USA

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

Teaching (Spring 2014)

MATH 208: Honors Calculus IV
MATH 710: Differential Geometry I
Office hours: T, Th 4-5

Video Presentations

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

Conferences and Workshops

Upcoming:

  • String Geometry and Loop Spaces, Institute for Mathematics at Greifswald, July 28- Aug. 1, 2014.
  • 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.

    Recent:

  • Conference to describe the scientific work of James Simons on his 75th birthday, CUNY Graduate Center, May 28-31 2013.
  • Chern Simons Theory: Geometry, Topology and Physics, University of Pittsburgh, May 4-6 2013.

    • Recent Papers and Preprints

  • A loop group extension of the odd Chern character, arxiv:1311:6393. submitted for publication.
  • Pseudodeterminants and perfect square spanning tree counts, with J. L. Martin, M. Maxwell, V. Reiner, arxiv:1311.6686. submitted for publication.
  • 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
  • Loop differential K-theory, with T. Tradler and M. Zeinalian. arxiv:1201.4593. submitted for publication.
  • 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.