Corbett Redden

Associate Professor of Mathematics
Long Island University - LIU Post
720 Northern Boulevard
Brookville, NY 11548

Office: Hoxie 109
Phone: 516-299-3487 (voicemail only)
E-mail: corbett [dot] redden [at] liu [dot] edu

Noyce Mathematics & Teacher Education Scholarship Program at LIU Post

Curriculum Vitae

GitHub

Teaching:

Past courses

Papers:

"Modeling bundle-valued forms on the path space with a curved iterated integral" with Cheyne Glass. J. Homotopy and Relat. Struct., July 2022. [arXiv:2106.15275]
"Noncommutative differential K-theory" with Byungdo Park, Arthur J. Parzygnat, and Augusto Stoffel. J. Geom. Phys., volume 174, April 2022, 104446. [arXiv:2106.12073]
"A classification of equivariant gerbe connections" with Byungdo Park. Commun. Contemp. Math., 21 (2019), no. 2, 1850001, 40 pp. [arXiv:1709.06003]
"An alternate description of equivariant connections." Differential Geom. Appl. 56: 81-94, 2018. [arXiv:1608.01297]
"Differential Borel equivariant cohomology via connections." New York J. Math. 23: 441-487, 2017. [arXiv:1602.06921]
"Trivializations of differential cocycles." J. Homotopy and Relat. Struct., 10 (2): 303-331, 2015. [arXiv:1201.2919]
"String structures and canonical 3-forms." Pacific J. Math., 249 (2): 447-484, 2011. [arXiv:0912.2086]
"Harmonic forms on principal bundles." Asian J. Math., 16 (4): 637-660, 2012. [arXiv:0810.4578]
"Elliptic genera and elliptic cohomology.." In Topological Modular Forms, vol. 201 of Mathematical Surveys and Monographs. AMS, 2014.
"Canonical Metric Connections Associated to String Structures." Ph.D. thesis, University of Notre Dame, 2006.

Some recent talks:

"Equivariant gerbe connections" (video). 'Gong Show' session at an SCGP workshop.
"Equivariant connections and quotient stacks" (parts I and II). Korea Institute for Advanced Study (KIAS) Topology Seminar.
"Differential equivariant cohomology." Union College Mathematics Conference.