About Me
I am a PhD student in my fifth year at the University of Virginia, studying with Professor David Sherman.
My interests include functional analysis, operator theory, and operator algebras. My specialized interests are currently in structural properties, lifting properties, and finite dimensional approximations for C*-algebras (including universal C*-algebras determined by relations). Here is my CV.
Articles
- (with T. Shulman) Elements of C*-algebras Attaining Their Norm in a Finite-Dimensional Representation, preprint 2017. to appear in Canad. J. Math. arXiv 1707.01949
Presentations
Invited
- East Coast Operator Algebras Symposium. Texas Christian University, October 2018.
- International Congress of Mathematicians (ICM)- Satellite Conference in Operator Algebras. Florianópolis, Brazil, July 2018.
- 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."
- University of Glasgow Analysis Seminar, January 2018:
"Finite-dimensional representations and AF mapping telescopes."
- Universität Münster Oberseminar C*-Algebren, January 2018:
"Finite-dimensional representations and AF mapping telescopes."
- Brazos Analysis Seminar. University of Huston, November 2017:
"Residually finite-dimensional C*-algebras and mapping telescopes."
- Pennsylvania State University Noncommutative Geometry Seminar. October 2017:
"A von Neumann-type inequality for *-polynomials via universal C*-algebras."
- University of Manitoba Functional Analysis Seminar Series. October 2017:
"A von Neumann-type inequality for *-polynomials."
- Oberwolfach Mini-Workshop: MASAs and Automorphisms of C*-algebras, 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." ( Slides )
- United States Naval Academy Operator Algebras Seminar, April 2017:
"Finite Dimensional Norm Attaining Elements and Finitely Represented C*-algebras."
- Virginia Commonwealth University Analysis, Logic, and Physics Seminar, April 2017:
"Residual Finite Dimensionality and Universal Norms from an Element-ary Perspective."
- TU Dresden Seminar Geometrie, March 2017:
"Finite Dimensional Norm Attaining Elements and Finitely Represented C*-algebras."
- University of New Hampshire Seminar, February 2017:
"Spaces of Norm Attaining Elements, Parts I and II."
Contributed and Home Seminars
- University of Virginia Operator Theory Seminar, March 2018:
"Residually finite-dimensional C*-algebras through mapping telescopes."
- University of Virginia Operator Theory Seminar, September 2017:
"Nilpotent approximations of universal operators and some conjectures."
- Great Plains Operator Theory Symposium (GPOTS), Texas Christian University, May 2017:
"Finite Dimensionally Normed Elements in an RFD C*-algebra."
- University of Virginia Operator Theory Seminar, August-September 2016:
"The WEP, the LLP, and some related conjectures according to Kirchberg," four part lecture series. (Lecture Notes)
- University of Virginia Graduate Seminar, January 2016:
"Norms of Binomials on Matrix Algebras."
- Graduate Education Mentoring Workshop, Joint Mathematics Meetings, January 2016:
"Norms of Binomials on Matrix Algebras."
- University of Virginia Operator Theory Seminar, September 2015:
"The full C*-algebra of the free group on two generators, Parts I & I."
Invited Workshop Participation
- Women in Operator Algebras. Banff International Research Station for Mathematical
Innovation and Discovery (BIRS). November 4-9, 2018.
- Workshop on Model Theory and Operator Algebras. Banff International Research Station for Mathematical
Innovation and Discovery (BIRS). November 25-30, 2018.
- Texas A&M Workshop. February 23-25, 2018.
- US Junior Oberwolfach Fellow. Oberwolfach Mini-Workshop: MASAs and Automorphisms of C*-Algebras. Mathematisches Forschungsinstitut Oberwolfach. September 2017.
- Intensive Research Program on Operator Algebras: Dynamics and Interactions. Centre de Recerca Matemática, Bellaterra. March-July 2017.
Conferences Attended
- AMS Sectional Meeting- Special Session on Advances in Operator Algebras. Vanderbilt, April 2018.
- Workshop on computability of K-theory for C*-algebras. Texas A& M, February 2018.
- Joint Mathematics Meetings (JMM), San Diego, CA. January, 2018.
- Oberwolfach Mini-Workshop: MASAs and Automorphisms of C*-algebras, September 2017.
- GPOTS. TCU, May 2017.
- NCGOA. Vanderbilt University, May 2017.
- IRP Operator Algebras: Dynamics and Interactions. Centre de Recerca Matemàtica, March 2017.
- JMM. Atlanta, GA, May 2017.
- Structure and Classification of C*-algebras 2016, Institute of Mathematics Polish Academy of Sciences, November 2016.
- Virginia Operator Theory and Complex Analysis Meeting (VOTCAM). University of Richmond, 2016.
- Canadian Annual Symposium on Operator Algebras and Operator Theory (COSy). Université de Montréal, June 2016.
- GPOTS. University of Illinois Urbana-Champaign, May 2016.
- JMM. Seattle, WA, January 2016.
- VOTCAM. Washington and Lee University, November 2015.
- Mathematical Association of America, Mathfest. Washington, DC, August 2015.
- COSy. University of Waterloo, June 2015.
- GPOTS. Purdue University, May 2015.
- VOTCAM. Washington and Lee University, November 2014.
Recommended Upcoming Conferences
- NCGOA 2018. Universität Münster, May 14-19.
- GPOTS 2018. May 29-June 2.
- COSy 2018. June 4-8.
- Young Women in C*-algebras (YWC*A). KU Leuven, August 11-12, 2018.
- Young Mathematicians in C*-algebras (YMC*A). KU Leuven, August 13-17, 2018.
Teaching
Spring 2018. Financial Math (Math 1140).
UVA Math Graduate Seminar
I am currently co-chairing the UVA math graduate student seminar. Check out our calendar.
Fun Facts
I am an avid open water swimmer and US Master's Swimming Member. Check out the hardware.
I love to cook and love to eat (see top photo).
I'm often spotted with this lovely creature , here pictured in the act of coaxing a squirrel from a tree.