This is the homepage of Scott Wilson. I am an associate professor of
Queens College, and a member of the doctoral faculty of
Graduate Center, CUNY. I am also the Graduate Advisor for the Queens
College Masters in Mathematics program.
My research is in the geometry and topology of manifolds. I am particularly
interested in algebraic and geometric structures associated to manfiolds, and their
triangulations, as well as applications of these to physics. My most
recent work is on almost complex manifolds, differential K-theory, and holonomy on bundles and their
higher analogues. I am also researching and constructing computational fluid models.
Recent Papers and Preprints
Results concerning almost complex structures on the six-sphere, Symmetry,
Integrability and Geometry: Methods and Application, 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.
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
Cochain algebra on manifolds and convergence
under refinement, Topology and its Appl, 154 no. 9 (2007) 1898-1920.