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My research is in noncommutative geometry, including C*-algebras, K-theory and cylic cohomology. My thesis focused on studying the behavior of cyclic cohomology under deformations of algebras. More recent work has been on C*-algebras associated with Smale spaces.
My research is in noncommutative geometry, including C*-algebras, K-theory and cylic cohomology. My thesis focused on studying the behavior of cyclic cohomology under deformations of algebras. More recent work has been on C*-algebras associated with Smale spaces.
Publications
Publications
Wieler solenoids: non-Hausdorff expansiveness, Cuntz-Pimsner models, and functorial properties (joint work with Robin Deeley, Menevse Eryuzlu, and Magnus Goffeng), submitted for publication.
Fell algebras, groupoids, and projections (joint work with Robin Deeley and Magnus Goffeng), Proc. Amer. Math. Soc., 150, no. 11, 4891–4907.
Smale space C*-algebras have nonzero projections (joint work with Robin Deeley and Magnus Goffeng), Proc. Amer. Math. Soc., 148, no. 4, 1625-1639.
The stable algebra of a Wieler solenoid: inductive limits and K-theory (joint work with Robin Deeley), Ergodic Theory Dynam. Systems, 40, no. 10, 2734-2768.
The Gauss-Manin connection for the cyclic homology of smooth deformations, J. Noncommut. Geom., 11, no. 2, 581-639.
Piecewise distance preserving maps (joint work with Anton Petrunin), St. Petersburg Math J., 27, no. 1, 155-175.
Thesis
Thesis
I received my Ph.D. from Penn State University in 2013. My advisor was Nigel Higson. Here is my thesis:
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