Short CV

(For my full CV, click here.)

Positions:

Junior Professor (W1) (Associate Professor, non-tenure track), April 2022-March 2025
WWU Münster

Akademischen Rätin (postdoc with Habilitation track), April 2020- March 2023
WWU Münster

Postdoctoral Researcher, September 2018- March 2020
WWU Münster

Education:

Ph.D. Mathematics, University of Virginia, 2018.
Advisor: David Sherman

M.S. Mathematics, Auburn University, 2013.

B.S. Mathematics, Auburn University, 2010.
B.A. Philosophy, Auburn University, 2010.

Articles

Published:

B. Armstrong, G. G. de Castro, L. Orloff Clark, K. Courtney, Y-F. Lin, K. McCormick, J. Ramagge, A. Sims, and B. Steinberg. “Reconstruction of twisted Steinberg algebras,” Int. Math. Res. Not., rnab291, 2021. https://doi.org/10.1093/imrn/rnab291. arXiv:2101.08556.

B. Armstrong, L. Orloff Clark, K. Courtney, Y-F. Lin, K. McCormick, and J. Ramagge. “Twisted Steinberg algebras,” J. Pure Appl. Algebr., 226 (2022), Issue 3. [https://doi.org/10.1016/j.jpaa.2021.106853] (arXiv:1910.13005)

K. Courtney, “Universal C*-algebras with the Local Lifting Property,” Math. Scand., 127 (2021), 361-381. [https://doi.org/10.7146/math.scand.a-126018] (arXiv:2002.02365).

K. Courtney, D. Sherman. “The universal C*-algebra of a contraction,” J. Operator Theory, 84 (2020), Issue 1, 153-184. [http://dx.doi.org/10.7900/jot.2019mar11.2229] (arXiv:1811.04043).

K. Courtney, T. Shulman. “Free products with amalgamation over central C*-subalgebras,” Proc. Amer. Math. Soc., 148 (2020), 765-776. [https://doi.org/10.1090/proc/14746] (arXiv:1809.09134).

K. Courtney, T. Shulman. “Elements of C*-algebras attaining their norm in a finite-dimensional representation,” Canad. J. Math. 71 (2019), Issue 1,
[http://dx.doi.org/10.4153/CJM-2017-040-x] (arxiv:1707.01949).

In Preparation:

K. Courtney, A. Duwenig, M. Georgescu, A. an Huef, M. G. Viola, “Nuclear Dimension of the reduced C*-algebra of a twist.”

K. Courtney, W. Winter, “CPC*-systems.”

K. Courtney, “Nuclear C*-algebras and cpc systems.”

Honors, Awards, Grants, Fellowships:

National Science Foundation (US), (Co-PI) Groundwork for Operator Algebras Lecture Series (NSF #2154574), April 01, 2022- August 31, 2023.
National Science Foundation (US), (Co-PI) Groundwork for Operator Algebras Lecture Series (GOALS) (NSF #2000131), April 01, 2020- September 30, 2021.
American Institute of Mathematics, Structured Quartet Research Ensembles (SQuaRE), August 2019 – July 2023.
Oberwolfach Leibniz Graduate Students Grant recipient, August 2019.
American Mathematical Society, Joint Math Meetings 2018 Travel Grant recipient.
US Junior Oberwolfach Fellow, September 2017.
All-University Graduate Teaching Award, University of Virginia, April 2017.
Spring Dissertation Fellowship, University of Virginia, Spring 2017.

Selected Talks/ Lecture Series:

Noncommutative Geometry Festival. Washington University in St. Louis, June, 2023.
Barcelona Weekend in Operator Algebras. Universitat Autonoma de Barcelona, January 2023.
Research Training Group “Fourier Analysis and Spectral Theory” Colloquium. University of Göttingen, October 2022.
Oberwolfach Workshop 2232: C*-algebras. MFO, August 2022:
“Nuclear C*-algebras as inductive limits of finite dimensional C*-algebras.”
Groundwork in Operator Algebras Lecture Series (GOALS): C*-algebras Minicourse. University of Montana, July 2022.
Institut Colloquium. Institut für Mathematik Universität Potsdam, May 2022.
“Approximations on Groups.”
University Quantum Symmetries Lectures. Online, February 2022.
“Nuclearity and generalized inductive limits.”
Automorphisms and Invariants of Operator Algebras. University of Copenhagen, October 2021.
“Nuclearity and generalized inductive limits.”
GOALS: C*-algebras Minicourse. Michigan State University, July 2021.
Conference on Operator Algebras & Related Topics: In memory of Vaughan Jones
Istanbul Center for Mathematical Sciences and Online, June 2021
8th European Congress of Mathematics, Operator Algebras Mini-Symposium. Online, June 2021.
Global Noncommutative Geometry Seminar Seminar (European Edition). Online, March 2021.
”Generalized inductive limits with asymptotically order zero maps.” (Slides)
Actions of Tensor Categories on C*-algebras. IPAM (UCLA), Online, January 2021.
Mini Course: “The abstract approach to classifying C*-algebras.” (Video) (Slides)
Joint Mathematics Meetings – Special Session on Advances in Operator Algebras. Online, January 2021.
Winter Canadian Math Society Meeting. Online, December 2020.
Global Noncommutative Geometry Seminar Seminar (Americas Edition). Online, September 2020.
”C*-structure on images of completely positive order zero maps.” (Video)
Special Week on Operator Algebras. East China Normal University, August 2020.
GOALS: C*-algebras Minicourse. Michigan State University (Online), June – July 2020.
UK Virtual Operator Algebras Seminar. Online, May 2020.
“Kirchberg’s QWEP Conjecture: Between Connes’ and Tsirelson’s Problems.” (Slides)
Banff Workshop 19w5134 – Classification Problems in von Neumann Algebras. BIRS, September 2019.
“Amalgamated Products of Strongly RFD C*-algebras arising from locally compact groups.” (Video)
Banff Workshop 19w5073 – Topology and Measure in Dynamics and Operator Algebras. BIRS, September 2019.
“Amalgamated products of RFD C*-algebras.”
Oberwolfach Workshop 1933: C*-algebras. MFO, August 2019.
“Amalgamated products of RFD C*-algebras.”
Groupoids, Graphs, and Algebras. University of Sydney, July 2019.
“Twisted Steinberg Algebras.”
East Coast Operator Algebras Symposium. Texas Christian University, October 2018.
“Amalgamated free products of strongly RFD C*-algebras over central subalgebras.” (Slides)
International Congress of Mathematicians (ICM)- Satellite Conference in Operator Algebras. Florianópolis, Brazil, July 2018.
“Norm attainment under finite-dimensional representations.” (Slides)
(Sub)factors in Maui. Maui, Hawaii, May 2018.
“A universal contraction algebra: from von Neumann’s inequality to Connes’ embedding problem.”
AMS Sectional Meeting– Special Session on Advances in Operator Algebras. Vanderbilt, April 2018:
“Finite-dimensional representations of C*-algebras and AF mapping telescopes.”
Workshop on computability of K-theory for C*-algebras. Texas A& M, February 2018:
“Universal contractions, von Neumann’s Inequality, and Connes’ embedding problem.”
Joint Mathematics Meetings – Special Session on Advances in Operator Algebras. San Diego, CA, January 2018.
“A von Neumann-type inequality with universal C*-algebras.”
Brazos Analysis Seminar. University of Huston, November 2017:
“Residually finite-dimensional C*-algebras and mapping telescopes.”
Oberwolfach Mini-Workshop: MASAs and Automorphisms of C*-algebras 1738a. September 2017:
“Finding elements in C*-algebras using mapping telescopes.”
Noncommutative Geometry and Operator Algebras (NCGOA) Spring Institute. Vanderbilt, May 2017:
“Finite Dimensionally Normed Elements in an RFD C*-algebra.”
University of Virginia Operator Theory Seminar. August-September 2016:
Four-Part Lecture Series: “The WEP, the LLP, and some related conjectures according to Kirchberg.” (Lecture Notes)

Organization and Initiatives:

Organizer for Twinned Conference on C*-algebras and Tensor Categories (Held jointly at ICMS and the Fields Institute)
Nov 6-10, 2023
(ICMS and Fields)
Organizer/ Instructor for Groundwork in Operator Algebras Lecture Series (GOALS)
Summer 2020 (Online), Summer 2021 (Michigan State University), Summer 2022 (University of Montana)
Organizer Young Mathematicians in C*-algebras (YMC*A)
August 9-14, 2021
WWU Münster
Organizer for Focus Programme: “Operator algebras and topological dynamics: amenability and beyond”
June-August, 2021
WWU Münster
Operator Algebras Mentor Network, Junior Mentor and co-founder, 2019-present.
Organizer for YMC*A 2019, University of Copenhagen.
Organizer for Young Women in C*-algebras (YWC*A) 2018, KU Leuven.
Organizer for Teaching for Diversity Workshop,
University of Virginia Department of Math, August 2017.
University of Virginia Graduate Student Seminar Chair, 2016-2018.
University of Virginia Math Ambassadors Outreach Program, 2014- 2018.

Teaching:

See Teaching Page.