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
- 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.
- Joint Mathematics Meetings (JMM)- Special Session on Advances in Operator Algebras. San Diego, CA, January 2018.
- Universität Münster Oberseminar C*-Algebren, January 2018.
- Brazos Analysis Seminar. University of Huston, November 2017.
- Pennsylvania State University Noncommutative Geometry Seminar. October 2017.
- Oberwolfach Mini-Workshop: MASAs and Automorphisms of C*-algebras, September 2017.
- 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
- Great Plains Operator Theory Symposium (GPOTS). Contributed Talk. 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
- US Junior Oberwolfach Fellow. Oberwolfach Mini-Workshop: MASAs and Automorphisms of C*-Algebras. Mathematisches Forschungsinstitut Oberwolfach. September 2017.
- Invited Researcher. Intensive Research Program on Operator Algebras: Dynamics and Interactions. Centre de Recerca Matemática, Bellaterra. March-July 2017.
Conferences Attended
- 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.
Teaching
Fall 2017. Calculus I (1310).
Math Links
UVA Math Graduate Seminar
I am currently 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.