Adjunct Professor of Mathematics.
Former Chair of Mathematics-Statistics Department
(March 2016 - June 2020; April 2003--June 2007; Acting Chair during July--December 2008, January--June 2014.)
Broadly, Functional Analysis. Primarily,
K-theory, noncommutative geometry, theoretical and mathematical Physics. More
Recent Papers in Refereed Journals
The K-inductive Structure of the Noncommutative Fourier Transform, Math. Scand. 124 (2020), No. 2, 305-319. arXiv:1706.00076 -- doi.org/10.7146/math.scand.a-114723
Semiflat Orbifold Projections,
Houston J. Math.
44 (2018), No. 2, 645-663.
Orthogonality Relations And Topological Invariants Of Fourier Invariant Fields Of Projections, J. Operator Theory 77 (2017), No. 1, 191-203. Online Abstract
Projections Nearly Orthogonal To Their Symmetries, J. Math. Analysis Appl. 446 (2017), No. 2, 1356-1361.
Toroidal Orbifolds of Z3 and Z6 Symmetries of Noncommutative Tori,
Nuclear Physics B 894 (2015), 496-526.
Dedicated to George Elliott on his 70th birthday.
My first best paper
Inductive limit automorphisms of the irrational rotation algebra, Comm. Math. Phys. 171 (1995), no. 2, 365-381. MR 97a:46088 -- Online
Recently Completed Papers
Modular Images Of Approximately Central Projections (2020), 12 pages. arXiv:2006.07728
K-theory of Rotation Algebra Crossed Products by Amalgamated Products of Finite Cyclic Groups (2018), 16 pages. arXiv:1809.09286
Papers In Progress
K-theory of approximately central projections in the Flip orbifold (2020), 53 pages (approx).
Orbifolds of the Weyl Algebra and their Traces (2018), 28 pages (approx).
K-theory of Approximately Central Projections: Fourier Case (2018), 32 pages (approx) - in preparation.
The Polynomial Rotation Algebra (2018), 15 pages (approx). (Expository paper on the rotation algebra without topology.)
A proof of Cantor's theorem , preprint (2020), 2 pages. arXiv:1604.00699v1
How Einstein Got His Field Equations, (2016), 7 pages.
(Expository paper based on a lecture by same title in commemoration of General Relativity centennial.) It is posted on the Cornell arXiv.
Anticommutator Norm Formula for Projection Operators, preprint (2015), 8 pages. arXiv:1604.00699v1
My research has been partly supported by NSERC from 1990 until 2011. Thank you, NSERC.
of Mathematics and Statistics
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