Sarah Browne
- Associate Teaching Professor
Contact Info
Biography —
I am an Associate Teaching Professor at the University of Kansas who centres on the coordination of calculus for business and biology majors (MATH 115), and coordination and/or teaching of STEM Calculus courses (MATH 125, 126, 127). I am still working on projects in mathematical research (in functional analysis and topology) alongside branching out to research in education and pedagogy. I was at the Pennsylvania State University under the mentorship of Nate Brown from 2017-2019. I completed my PhD in 2017 at the School of Mathematics and Statistics at the University of Sheffield, under the supervision of Paul Mitchener.
Selected Publications —
The stable exotic Cuntz algebras are higher-rank graph algebras. Proceedings of the American Mathematical Society, Series B, 2024.
K-homology and K-theory of pure braid groups. New York Journal of Mathematics, 2022.
A Bott Periodicity proof for real graded C*-algebras. Journal of Mathematical Analysis and Applications, 2019.
E-theory for C*-categories. arXiv.
The UCT for nuclear C*-algebras. arXiv.
Selected Presentations —
E-theory for C*-categories, November 2020, Operator Algebra Seminar, East China Normal University
A Bott periodicity proof for real graded C*-algebras, June 2020, Analysis Seminar, University of Kansas
The Baum-Connes correspondence for the pure braid groups on 3 strands, May 2020, Groups, Operators and Banach algebras Webinar (online)
E-theory spectra, January 2020, AMS Special Session on Advances in Operator Algebras, Joint Math Meeting, Denver
The Baum-Connes correspondence for the pure braid groups on 4 strands, December 2019, K-theory and C*-algebras, University of Hawaii at Manoa
Quantitative E-theory and the Universal Coefficient Theorem, May 2019, Great Plains Operator Theory Symposium, Texas A\&M; University
Quantitative E-theory, May 2019,Noncommutative Geometry and Representation Theory, Washington University in St. Louis
Quantitative E-theory, October 2018, Symposium on K-theory and non-commutative topology, University of Puerto Rico
Quantitative E-theory, October 2018, East Coast Operator Algebras Symposium, Texas Christian University
Quantitative E-theory, July 2018, ICM Operator Algebras Satellite Conference, Florianopolis, Brazil
Quantitative E-theory, June 2018, CMS 2018, University of New Brunswick
Quantitative E-theory, February 2018, Texas A&M;
E-theory spectrum, February 2018, University of Waterloo
E-theory spectrum, November 2017, Joint Seminar on Operator Theory and Topology, University of Virginia
A quasi-spectrum for asymptotic morphisms of graded C*-algebras, June 2017, ICMS
An orthogonal quasi-spectrum for graded E-theory, June 2017, Joint Operator Algebras and Topology seminar, University of Copenhagen
An orthogonal quasi-spectrum for graded E-theory, May 2017, Topology seminar, University of Sheffield
Cuntz' proof of Bott periodicity, April 2017, Operator K-theory seminar, University of Sheffield
Establishing a topology on certain morphisms of C*-algebras, March 2017, YFAW, University of Glasgow
A quasi-spectrum for asymptotic morphisms of graded C*-algebras, March 2017, SOAR, University of Glasgow.
The E-theory spectrum for C*-algebras, October 2016, Pure Maths Colloquium, University of Southampton
Complex graded E-theory, April 2016, YFAW, Queen's University Belfast
E-theory spectrum for complex graded C*-algebras, March 2016, University of Glasgow.
E-theory spectrum for complex graded C*-algebras, January 2016, Winter School, Universitaet Muenster.
E-theory spectrum, August 2015, YMC*A, University of Copenhagen.
An Introduction to E-theory, June 2015, YFAW, Imperial College London
An Introduction to E-theory, May 2015, PGR Seminar, University of Sheffield
Cuntz' proof of Bott periodicity, July 2014, KK-theory seminar, University of Sheffield
E-theory, June 2014, KK-theory Seminar, University of Sheffield
De Rham Cohomology, June 2014, PGR Seminar, University of Sheffield
Hilbert Modules, June 2014, KK-theory Seminar, University of Sheffield