Jun Yang

My name is Jun Yang. I am 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 got a B.S. in Mathematics and a B.E. in Computer Science at Nankai University, China.

Research Interest

Representation theory, von Neumann algebras, arithmetic groups and number theory.

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, Advances in Mathematics.457(2024), Paper No. 109912. (a revised version of my Ph.D. thesis) arxiv:2010.00759

3. A Level-Depth Correspondence between Verlinde Rings and Subfactors, Reviews in Mathematical Physics (2024) 2430008, arxiv: 2212.13214

4. Plancherel Measures of Reductive Adelic Groups and Von Neumann Dimensions, Mathematische Zeitschrift,Volume 310, Issue 2, (2025).arxiv: 2203.07974

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

6. The Jacquet-Langlands correspondence of von Neumann dimensions over arithmetic groups, (submitted) (arxiv:2405.18372)

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

8. The Atiyah-Schmid formula for reductive groups, arxiv.org:2503.13929

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

Notes and Slides

Contact Information

Address: Lyman 228, 17 Oxford St, Cambridge, MA 02138

Email: fullname at fas.harvard.edu or fullname+math at yahoo.com

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