Papers/preprints
My arXiv author page | My Google Scholar page
- Construction of unitary Segal CFTs from conformal nets, in preparation (with A. Henriques)
- Fusion rules for Jones-Wassermann subfactors via vertex operator algebras, in preparation
- Singular values of weighted composition operators and second quantization, Int. Math. Res. Not. (with M. Putinar)
- On classification of extremal non-holomorphic conformal field theories, J. Phys. A: Math. Theor. 50 (2017) 115204 (with Z. Wang)
- Geometric realization of algebraic conformal field theories, submitted
- Construction of the unitary free fermion Segal CFT, Commun. Math. Phys. 355 (2017), no. 2, 463-518
- Planar algebras in braided tensor categories, submitted (with A. Henriques and D. Penneys)
- Categorified trace for module tensor categories over braided tensor categories, Documenta Math. 21 (2016) 1089-1149 (with A. Henriques and D. Penneys)
- Subfactors of index less than 5, part 4: vines, Int. J. Math. 23 (2012), no. 3, 1250017 (with D. Penneys).
- Unitary equivalence to a complex symmetric matrix: low dimensions, Lin. Alg. Appl. 437 (2012), no. 1, 271-284 (with S.R. Garcia and D.E. Poore)
- Unitary equivalence of a matrix to its transpose, J. Operator Theory 68:1 (2012), 179-203 (with S.R. Garcia).
- Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames, Oper. Matrices 5 (2011) 139-155 (with J. Giol, L.V. Kovalev, D. Larson and N. Nguyen).
- Unitary equivalence to a complex symmetric matrix: an algorithm J. Math. Anal. Appl. 341 (2008) 640-648.
Articles in preparation
- Fusion rules for Jones-Wassermann subfactors via vertex operator algebras, in preparation
- Construction of unitary Segal CFTs from conformal nets, in preparation (with A. Henriques)
- Unitary anchored planar algebras in Z(C), in preparation (with A. Henriques and D. Penneys)
Other writing
- Construction of the unitary free fermion Segal conformal field theory, Dissertation, UC Berkeley, Spring 2014 (advised by Vaughan Jones)
- Unitary equivalence to a complex symmetric matrix, Undergraduate thesis, Pomona College, Spring 2008 (advised by Stephan Garcia)
Upcoming talks:
- TBD, UC Davis Seminar on Algebra & Discrete Mathematics, November 2017
- Local observables as boundary values of vertex operator algebras, Workshop on Research on algebraic combinatorics and representation theory of finite groups and vertex operator algebras, Kyoto RIMS, December 2017
- The geometry of conformal nets, JMM Special session on Advances in Operator Algebras, San Diego, CA, January 2018
- TBD, AMS Southeastern Sectional meeting, Special Session on Advances in Operator Algebras, Vanderbilt University, April 2018
Selected conference and colloquium talks and talk notes:
- Geometry of conformal nets, Shanks workshop on subfactors and applications, Vanderbilt University, October 2017
- Four flavors of fusion, Quantum Symmetries: Subfactors and Planar Algebras, Maui, HI, July 2017
- Planar algebras: calculating with pictures, Claremont Colleges Mathematics Colloquium, April 2017
- Jones-Wassermann subfactors from vertex operator algebras, Workshop on Subfactors, higher geometry, higher twists and almost Calabi-Yau algebras, Isaac Newton Institute for Mathematical Sciences, March 2017
- Singular values of weighted composition operators and second quantization, Southeasern Analysis Meeting (SEAM) 2017, UT Knoxville, March 2017
- Segal CFT and conformal nets (2 lectures), Berkeley-Tokyo Autumn School on Quantum Field Theory and Subfactors, UC Berkeley, November 2016
- Geometric construction of conformal nets, ECOAS 2016, Loyola University, October 2016
- On classification of vertex operator algebras by their representation categories, Modular Categories--Their Representations, Classification, and Applications, Casa Matemática Oaxaca, August 2016
- Finite index subfactors from vertex operator algebras, Von Neumann Algebras workshop, Hausdorff Institute for Mathematics, Bonn, July 2016
- Complete rationality of some conformal nets from vertex operator algebras, Trimester seminar for Mathematics and Physics at the Crossroads program, INFN Frascati, June 2016
- Segal CFT at the boundary, The Mathematics of Conformal Field Theory, Australian National University, July 2015
- From Segal CFT to conformal nets, Oberwolfach workshop Subfactors and conformal field theory, March 2015
- Segal CFT at the boundary, NCGOA 2014, Vanderbilt University, May 2014
- Operator algebras and geometric conformal field theory, East Coast Operator Algebras Symposium, University of Cincinnati, October 2013
- Segal CFT and vertex operator algebras via bounded operators, Quarterly Seminar on Geometry and Topology, Utrecht University, June 2013
- Manifestly unitary conformal field theory, Miniworkshop on Operator Algebras II, University of Tokyo, January 16, 2013
- Introduction to fermionic second quantization, NCGOA 2012, Vanderbilt University, May 5, 2012
- Two-interval subfactors and the Longo-Rehren construction, UC Berkeley Subfactor Seminar, March 2011 (following Kawahigashi-Longo-Mueger)
- Classification of LG-reps and weight polytopes for the characters of LG-rep, Workshop on Operator Algebras and Conformal Field Theory, U Oregon, August 17, 2010
- A direct proof of an irreducibilty result of Wassermann, UC Berkeley Subfactor Seminar, April 16, 2010
- Unitary equivalence to a complex symmetric matrix, Pomona College Analysis Seminar, December 10, 2007