Zhiyuan Yang

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Email: yang3261@purdue.edu

Office: MATH 445

About

• I am a Golomb Visiting Assistant Professor in the Department of Mathematics at Purdue University. My research interests are in free probability and operator algebras. My mentor is Thomas Sinclair. I received my Ph.D. from Texas A&M University in 2026 under the supervision of Michael Anshelevich.

Publications and Preprints

• A Conjugate System for Twisted Araki–Woods von Neumann Algebras of Finite Dimensional Spaces , Int. Math. Res. Not. IMRN, July 2024
• On von Neumann algebras generated by free Poisson random weights , Journal of Functional Analysis, April 2026
• An Operator-Valued Haagerup Inequality for Hyperbolic Groups , with Ryo Toyota, Houston Journal of Mathematics, 2026
• On Relative Biexactness of Amalgamated Free Product von Neumann Algebras , with Kai Toyosawa, arXiv:2505.19508, May 2025
• Asymptotic root distribution of polynomials under repeated polar differentiation , with Daniel Perales, arXiv:2508.18575, August 2025
• Relative biexactness and mixing in von Neumann algebras , with Srivatsav Kunnawalkam Elayavalli, arXiv:2606.11571, June 2026

Teaching

Purdue University

• Fall 2026: MA 26600 Ordinary Differential Equations

Texas A&M University

• Spring 2021: Math 308 Differential Equations (Grader)
• Fall 2021: Math 151 Engineering Mathematics I (Recitation)
• Spring 2022: Math 152 Engineering Mathematics II (Recitation)
• Summer 2022: Math 152 Engineering Mathematics II (Recitation)
• Fall 2022: Math 151 Engineering Mathematics I (Recitation)
• Spring 2023: Math 410 Multivariate Real Analysis (Grader)
• Summer 2023: Math 152 Engineering Mathematics II (Recitation)
• Fall 2023: Math 607 Real Analysis I (Grader)
• Spring 2024: Math 608 Real Analysis II (Grader)
• Summer 2024: Analysis Qualifying Exam Preparation
• Fall 2024: Math 607 Real Analysis I (Grader)
• Spring 2025: Math 140 Mathematics for Business and Social Sciences (Instructor of Record)
• Summer 2025: Analysis Qualifying Exam Preparation
• Fall 2025: Math 415 Modern Algebra I (Grader)

Talks

• Workshop in Analysis and Probability Seminar, Texas A&M University, July 2023
• Analysis Seminar, University of Houston, October 2023
• Probabilistic Operator Algebras Seminar (online), University of California, Berkeley, October 2023
• Subfactor Seminar, Vanderbilt University, March 2024
• Baylor Analysis Seminar, Baylor University, March 2024
• Mathematical Physics and Operator Algebras, Michigan State University, December 2024
• Brazos Analysis Seminar, Baylor University, April 2025
• JMM Special Session on Advances in Operator Algebras, January 2026
• Functional Analysis Seminar, University of Maryland, March 2026
• Operator Algebras Seminar, Purdue University, April 2026
• Free Probability, Random Matrices, and Applications, University of Houston, April 2026
• The Great Plains Operator Theory Symposium (GPOTS) 2026, University of Virginia, May 2026
• Virginia Operator Algebra Workshop, University of Virginia, July 2026

Education

• 2021–2026: Ph.D. in Mathematics, Texas A&M University
• 2016–2020: B.S., Wuhan University