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.(2021)
2. Actions of Cusp Forms on Holomorphic Discrete Series and Von Neumann Algebras, Advances in Mathematics.457(2024), Paper No. 109912.
3. A Level-Depth Correspondence between Verlinde Rings and Subfactors, Reviews in Mathematical Physics (2024) 2430008.
4. Plancherel Measures of Reductive Adelic Groups and Von Neumann Dimensions, Mathematische Zeitschrift,Volume 310, Issue 2, (2025).
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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