Recent Papers and Preprints
Results concerning almost complex structures on the six-sphere,
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.
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.