Publications and Preprints
A ddc-type condition beyond
the Kahler realm, with J. Stelzig, to appear in Journal de l'Institut de Mathematiques de Jussieu.
Hodge-de Rham numbers of almost
complex 4-manifolds with J. Cirici, Expositiones Mathematicae,
2022. Preprint arxiv:2201.08260.
Dolbeault cohomology for
almost complex manifolds, with J. Cirici,
Advances in Mathematics,
Almost complex manifolds with small Nijenhuis tensor, with L.
Fernandez, and T. Shin, Complex Manifolds 8:329-335, 2021. Preprint
Identities, with J. Cirici, Mathematics 2020, 8, 1357. Preprint
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.
Topological and geometric aspects of almost Kahler manifolds via harmonic theory,
with J. Cirici, Selecta Mathematica New Series, 26, 35 (2020). Preprint
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.
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.
On the Algebra and Geometry of a Manifold's Chains and Cochains.
PhD dissertation, Stony Brook University. August 2005.
Oberwolfach Mini-Workshop: Almost Complex Geometry, with Daniele Angella, Joana
Cirici, Jean-Pierre Demailly, Oberwolfach Reports, vol. 17, no. 4, p.1657-1691.
Topological implications of Kahler-type symmetries for Hermitian and Almost
New techniques for studying the topology and geometry of almost complex manifolds
Equivariant extensions of holonomy and secondary invariants
Chern Simons forms, free loopspaces, and K-theory
Loop Differential K-theory
Algebraic Structure of Chains
Approximation to Differential Forms
Some local trail riding