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.
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Research Interest
Research Interest
Representation theory, Automorphic Representations; Operator Algebras, Arithmetic groups; Number theory.
Publications and Preprints
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. 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. Limit multiplicities and von Neumann dimensions, Journal of Noncommutative Geometry, Volume 20, No. 2 (2026)
6. The Atiyah-Schmid dimension formula for reductive groups, Communications in Mathematical Physics, Volume 407, No. 100, (2026).
7. The Global Jacquet-Langlands Correspondence via Tensor Products, (submitted) arxiv.org:2602.08053
8. The Jacquet-Langlands correspondence of von Neumann dimensions over arithmetic groups, (submitted) (arxiv:2405.18372)
Notes and Slides
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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