Sarah Browne
- Associate Teaching Professor
Contact Info
Biography —
I am an Assistant Teaching Professor at the University of Kansas who centres on the coordination of business calculus. 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. I completed my PhD in the School of Mathematics and Statistics at the University of Sheffield, under the supervision of Paul Mitchener. My areas of study are functional analysis and topology.
Selected Publications —
A Bott periodicity proof for real graded C*-algebras. Published in Journal of Mathematical Analysis and Applications [Link].
E-theory for C*-categories. arXiv.
The UCT for nuclear C*-algerbas. 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
Grants & Other Funded Activity —
Conferences I have attended:
Canadian Operator Symposium, May 2020, Fields Institute (online)
K-theory and C*-algebras, December 2019, University of Hawaii at Manoa
Noncommutative Geometry and Representation Theory, April 29 - May 3 2019, Washington University in St Louis
Great Plains Operator Theory Symposium, May 28 - June 1 2019, Texas A&M;
Model Theory and Operator Algebras, November 2018, BIRS
WOA: Women in Operator Algebras, November 2018, BIRS
Symposium on K-theory and non commutative topology, October 2018, University of Puerto Rico, San Juan
East Coast Operator Algebras Symposium, October 2018, Texas Christian University
ICM Operator Algebras Satellite Conference , 26 July - 30 July 2018, Florianpolis
Great Plains Operator Theory Symposium, May 29 - June 2 2018, University of Miami, Ohio
Canadian Mathematical Society Summer Meeting 2018, 1 June - 4 June 2018, University of New Brunswick
Workshop on computability of K-theory for C*-algebra, 23 February - 25 February 2018, Texas A&M;
South Ontario Operator Algebras Seminar 17 February - 18 February 2018, University of Waterloo
Applications of operator algebras: order, disorder and symmetry 26 June - 30 June 2017, International Centre for Mathematical Sciences
Young Functional Analysts' Workshop, 29 March - 31 March 2017 , University of Glasgow
Scottish Operator Algebra Research Seminar (SOAR), 24 March - 25 March 2017, University of Glasgow
Scottish Operator Algebra Research Seminar (SOAR), 2 December - 3 December 2016, University of Glasgow
GAP XIV, 8th August - 12th August 2016, University of Sheffield
Young Mathematicians in C*-algebras, 25th July - 29th July 2016, Universitaet Muenster
Groups, Dynamics, and Operator Algebras, 18th July - 22nd July 2016, Queen Mary University of London
Young Functional Analysts' Workshop, 6th April - 9th April 2016, Queen's University Belfast
Scottish Operator Algebra Research Seminar (SOAR), 16 March - 17 March 2016, University of Aberdeen
Winter School on Isomorphism Conjectures and Geometry of Groups, 25 January - 29 January 2016, Universitaet Muenster
Young Mathematicians in C*-algebras, 17th August - 21st August 2015, University of Copenhagen
Focus Programme on C*-algebras, Visited July 2015, Universitaet Muenster
Young Functional Analysts' Workshop, 10 June - 12 June 2015, Imperial College London
Oberwolfach Seminar: K-Theory for Group C*-Algebras and Semigroup C*-Algebras, 12 October - 18 October 2014, Mathematisches Forschungsinstitut Oberwolfach
Young Researchers in Mathematics 2014, 30 June - 3 July 2014, University of Warwick
Young Functional Analysts Workshop 2014, 23 April - 25 April 2014, Lancaster University
I attend the Transpennine Topology Triangle meetings whenever they occur in Sheffield