## Short CV

(For my full CV, click here.)

### Positions:

Akademischen Rätin (postdoc), 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:

B. Armstrong, G. G. de Castro, L. Orloff Clark, K. Courtney, Y-F. Lin, K. McCormick, J. Ramagge, Aidan Sims, and Benjamin Steinberg. “Reconstruction of twisted Steinberg algebras,” arXiv:2101.08556.

B. Armstrong, L. Orloff Clark, K. Courtney, Y-F. Lin, K. McCormick, and J. Ramagge. “Twisted Steinberg algebras,” arXiv:1910.13005.

K. Courtney, “Universal C*-algebras with the Local Lifting Property,” to appear in *Math. Scand.,* (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).

### Honors, Awards, Grants, Fellowships:

- National Science Foundation, 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.
- Oberwolfach Leibniz Graduate Students Grant recipient, August 2019.
- American Mathematical Society, Joint Math Meetings 2018 Travel Grant.
- Association for Women in Math, Joint Math Meetings 2018 Workshop Grant.
- US Junior Oberwolfach Fellow, September 2017.
- All-University Graduate Teaching Award, University of Virginia, April 2017.
- Spring Dissertation Fellowship, University of Virginia, Spring 2017.
- Invited Researcher, Intensive Research Program on Operator Algebras: Dynamics and Interactions, Centre de Recerca Matemática, Bellaterra, March-July 2017.

### Selected Talks:

**Actions of Tensor Categories on C*-algebras.**IPAM (UCLA), Online, 2021.

Mini Course: “The abstract approach to classifying C*-algebras.” (Video) (Slides)**UK Virtual Operator Algebras Seminar.**Online, 2020.

“Kirchberg’s QWEP Conjecture: Between Connes’ and Tsirelson’s Problems.” (Slides)**Banff Workshop 19w5134 – Classification Problems in von Neumann Algebras.**BIRS, 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, 2019.

“Amalgamated products of RFD C*-algebras.”**Oberwolfach Workshop 1933: C*-algebras.**MFO, 2019:

“Amalgamated products of RFD C*-algebras.”**Groupoids, Graphs, and Algebras.**University of Sydney, 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, HI, 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 (JMM)- 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)

### Service:

- Organizer Young Mathematicians in C*-algebras (YMC*A)

August 9-14, 2021

WWU Münster - Organizer/ Instructor for Groundwork in Operator Algebras Lecture Series (GOALS)

June 29-July 19, 2020

(Online) - 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.