This is the homepage of Scott Wilson. I am a Professor of Mathematics at Queens College, and a member of the doctoral faculty of Mathematics at The Graduate Center, CUNY. I am also the Graduate Advisor for the Queens College Master's in Mathematics Program.

My research is in the topology and geometry of manifolds. I am particularly interested in algebraic and geometric structures associated to manifolds. My most recent work is on almost complex manifolds, 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

scott.wilson AT qc.cuny.edu

Courses (Spring 2021)

Math 333 (Intro. Alg. Structures)
Math 625 (Numerical Analysis II)


Journal of Homotopy and Related Structures

PhD Advising

Matthew Cushman (real differential K-theory)
Qian Chen (2020)
Arthur Parzygnat (2016)


Almost Complex Geometry


  • Topological implications of Kahler-type symmetries for Hermitian and Almost Kahler manifolds
  • Chern Simons forms, free loopspaces, and K-theory
  • Loop Differential K-theory
  • Publications and Preprints

  • Almost complex manifolds with small Nijenhuis tensor, with Luis Fernandez, and Tobias Shin. Preprint arxiv:2103.06090.
  • Almost Hermitian Identities, with J. Cirici, Mathematics 2020, 8, 1357. Preprint arxiv:2008.04390.
  • Harmonic symmetries for Hermitian manifolds, Proc. of AMS, Vol 148, No.7 , July 2020, Pages 3039-3045. Preprint arxiv:1906.02952. A useful related reference: Structure table and identities.
  • Dolbeault cohomology for almost complex manifolds, with J. Cirici, arxiv:1809.01416.
  • Topological and geometric aspects of almost Kahler manifolds via harmonic theory, with J. Cirici, Selecta Mathematica New Series, 26, 35 (2020). Preprint arxiv:1809.01414.
  • Center of mass and Kahler structures with Mahmoud Zeinalian, J. Geom. 110 (2019), no. 2, 110:33. Preprint arxiv:1802.06315
  • Results concerning almost complex structures on the six-sphere, Symmetry, Integrability and Geometry: Methods and Applications, 14 (2018), 034, 21 pages.
  • 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, 2016, 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.