I am Jun Yang, a postdoc at Harvard University working with Arthur Jaffe. I received my Ph.D. degree in Mathematics under the supervision of Vaughan Jones and Dietmar Bisch at Vanderbilt University in 2021. Before this, I studied Mathematics and Computer Science at Nankai University, China. 

Research Interest

representation theory, von Neumann algebras, especially arithmetic groups and automorphic representations.  

Publications and Preprints

1. Motzkin Algebras and the A_n Tensor Categories of Bimodules, with Vaughan F.R. Jones, International Journal of Mathematics, 32(10), 2150077.arXiv:2008.04487  

2. Actions of Cusp Forms on Holomorphic Discrete Series and Von Neumann Algebras (to appear in Advances in Mathematics), arXiv:2010.00759 

3. Plancherel Measures of Reductive Adelic Groups and Von Neumann Dimensions, (submitted) arXiv: 2203.07974 

4. A Level-Depth Correspondence between Verlinde Rings and Subfactors, (submitted) arxiv.org: 2212.13214 

5. Von Neumann Dimensions and Trace Formulas I: Limit Multiplicities, (submitted) arXiv:2306.02999

6. Von Neumann Dimensions and Trace Formulas II: the global Jacquet-Langlands correspondence for arithmetic subgroups in GL(2), arxiv.org:2402.18488 

7. A Family of Projective Representations of the Thompson Group and Lifting Problems, (in preparation) arXiv:1812.01587