# 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.