Position:
Assistant Professor, New Mexico State University, 2023 - present
Postdoctoral Researcher, University of Windsor, 2023
Postdoctoral Researcher, University of Waterloo, 2021 - 2023
PIMS Postdoctoral Fellowship, University of Victoria, 2018 - 2021
Education:
PhD, Pure Mathematics, University of Waterloo, Jan. 2014 – Aug. 2018
Thesis: Regular Dilation on Semigroups
Advisor: Kenneth R. Davidson
M. Math, Thesis Option, University of Waterloo, Department of Pure Mathematics. Jan. 2013 – Dec. 2013
Thesis: Asymptotic Distribution for Block Statistics on Noncrossing Partitions.
Advisor: Alexandru Nica
B. Math Majors in Pure Mathematics, Combinatorics and Optimization, and Mathematical Finance, Graduated with Distinction – Dean’s Honor List, University of Waterloo, Sept 2008 – Dec. 2012
Grants and Fellowship:
NSF-BSF DMS-2350543: Semigroup Operator Algebras - Representations, Boundaries and Dynamics, 2024 - 2027, $254,546.00
Zuckerman Postdoctoral Scholar, 2023 – 2026, $60,000/year (declined)
Publications:
1. Boyu Li and Mansi Suryawanshi, An Ando-type dilation on right LCM-monoids, Journal of Mathematical Analysis and Applications, 560(2), no. 130617, 2026
2. Anna Duwenig and Boyu Li, The Zappa-Szep product of twisted groupoids, Documenta Mathematica (to appear), 2026
3. Boyu Li, Poisson transforms on right-angled Artin monoids, Annals of Functional Analysis, 17, no. 17, 2026
4. Robert S. Fong, Boyu Li, and Peter Tiňo, Linear Simple Cycle Reservoirs at the edge of stability perform Fourier decomposition of the input driving signals. Chaos 35(4), no. 043109, 2025
5. Robert S. Fong, Boyu Li, and Peter Tiňo, Universality of Real Minimal Complexity Reservoir, Proceedings of the AAAI Conference on Artificial Intelligence 39(16), 16622-16629, 2025
6. Anna Duwenig and Boyu Li, Imprimitivity theorems and self-similar actions on Fell bundles, Journal of Functional Analysis, 288(2), no. 110699, 2025
7. Boyu Li, Robert S. Fong, and Peter Tiňo, Simple Cycle Reservoirs are Universal, Journal of Machine Learning Research, 25(158):1−28, 2024.
8. Boyu Li and Dilian Yang, Wold Decomposition and C*-envelopes of Self-Similar Semigroup Actions on Graphs, Journal of Mathematical Analysis and Application, 537(2), no. 128395, 2024
9. Anna Duwenig and Boyu Li, Equivalence of Fell bundles is an equivalence relation, Münster Journal of Mathematics 16(1):95-145, 2023
10. Boyu Li and Dilian Yang, Zappa-Szép actions of groups on product systems, Journal of Operator Theory, 88(2):247-274, 2022
11. Anna Duwenig and Boyu Li, The Zappa-Szép product of a Fell bundle and a groupoid, Journal of Functional Analysis, 282(1), no. 109268, 2022
12. Marcelo Laca and Boyu Li, Dilation theory for right LCM semigroup dynamical systems, Journal of Mathematical Analysis and Application, 505(2), no. 125586, 2022
13. Boyu Li, Wold decomposition on odometer semigroups, Proceedings of the Royal Society of Edinburgh, 152(3):738-755, 2022
14. Boyu Li, C*-envelope and dilation theory of semigroup dynamical systems, Integral Equations and Operator Theory, 93 (3), no. 19, 2021
15. Marcelo Laca and Boyu Li, Amenability and functoriality of right-LCM semigroup C*-algebras. Proceedings of American Mathematical Society, 148(12):5209-5224, 2020
16. Boyu Li, Regular dilation and Nica-covariant representation on right LCM semigroups. Integral Equations and Operator Theory, 91(4), no. 36, 2019
17. Kenneth R. Davidson, Adam Dor-on and Boyu Li, Structure of Free Semigroupoid Algebras, Journal of Functional Analysis, 277(9):3283-3350, 2019
18. Boyu Li, Regular Dilation on Graph Products of N, Journal of Functional Analysis, 273(2):799-835, 2017
19. Boyu Li, Normal Extensions of Representations of Abelian Semigroups. Canadian Mathematical Bulletin, 59:564-574, 2016.
20. Boyu Li, Regular Representations of Lattice Ordered Semigroups, Journal of Operator Theory 76(1):33-56, 2016
Conference/Seminar Presentations:
Invited Talks
Finite-dimensional dilation theory and application to simple cycle reservoirs, University of Windsor, Department of Mathematics and Statistics Colloquium, 2026
What is a Zappa-Szep Product?, Michigan State University, Mathematical Physics and Operator Algebras, 2026
What is a Zappa-Szep Product?, University of Nevada Reno Analysis Seminar, 2026
Zappa-Szep product with a twist, International Workshop on Operator Theory and its Applications, University of Twente, 2025
A journey in dilation theory, Canadian Operator Symposium – Kenfest, University of Waterloo, 2025
Universality of Real Minimal Complexity Reservoir, Analysis Seminar, Baylor University, 2025
Universality of simple cycle reservoirs and dilation theory, Drexel University Analysis Seminar, 2025
What is a Zappa-Szep Product, Israeli Noncommutative Analysis seminar, Technion/Haifa University, 2024
Universality of simple cycle reservoirs using dilation theory, Department of Mathematical Sciences Colloquium, NMSU, 2024
Zappa-Szep product of groupoids and beyond, Brazo’s Analysis Seminar, 2024
Zappa-Szep Product, Self-Similar Action, and Imprimitivity Theorems, NMSU Department of Mathematical Sciences Colloquium, 2023
Examples of self-similar actions and imprimitivity theorems, Canadian Mathematical Society Summer Meeting – C*-algebras and applications session, 2023
Imprimitivity theorems arising from self-similar actions, University of Victoria Operator Theory Seminar, 2022
Wold decomposition and C*-envelope from self-similar graphs, Dilation and classification in operator algebra theory, University of Copenhagen, 2022
Dilation theory for right LCM semigroup dynamical systems, Joint Mathematics Meeting – Advances in Operator Algebras session, 2022
Dilation theory of right LCM semigroup dynamical systems, CMS Summer meeting, 2021
The Zappa-Szép product of a Fell bundle by a groupoid, University of Wollongong Operator Algebra & Noncommutative Geometry seminar, 2021
The Zappa-Szép product of a Fell bundle by a groupoid, CMS Winter meeting – Operator Algebras Session, 2020
The Zappa-Szép product of a Fell bundle by a groupoid, Arizona State University C* Seminar, 2020
C*-envelopes and semigroup dynamical systems, University of Glasgow Analysis Seminar, 2020
C*-envelopes and semigroup dynamical systems, University of Copenhagen Operator Algebra Seminar, 2020 (cancelled due to COVID-19)
Amenable and Non-amenable Semigroups, University of Waterloo Analysis Seminar, 2019
Free Semigroupoid Algebras, CMS Winter Meeting – Operator Algebra Session, Waterloo, 2017
Contributed Talks
Universality of simple cycle reservoirs using dilation theory, Canadian Operator Theory Symposium, 2024
Universality of simple cycle reservoirs using dilation theory, Joint UTEP/NMSU workshop, 2023
Wold-decomposition on self-similar graphs, Canadian Operator Symposium, 2022
Wold decomposition on odometer semigroups, Canadian Operator Symposium, 2021
Dilation theory for right LCM semigroup dynamical systems, University of Victoria Operator Theory Seminar, 2021
The Zappa-Szép product of a Fell bundle by a groupoid, University of Victoria Operator Theory Seminar, 2020
Dilation on Semigroups, University of Victoria Operator Theory Seminar, 2018
Regular Dilation and Nica-covariant Representation on Right LCM Semigroups, Canadian Operator Symposium, 2018
Regular Dilation and Nica-covariant Representation on Right LCM Semigroups, Canadian Abstract Harmonic Analysis Symposium, 2018
Examples of Free Semigroupoid Algebras, University of Waterloo Analysis Seminar, 2018
Regular Dilation on Graph Products of N, Canadian Operator Symposium, 2017
Regular Dilation on Graph Products of N, University of Waterloo Analysis Seminar, 2017
Regular Representations of Lattice Ordered Semigroups. Canadian Operator Symposium, 2015
Regular Representations of Lattice Ordered Semigroups. University of Waterloo Analysis Seminar, 2015.
Asymptotic Distributions of Noncrossing Partitions, Pure Math Graduate Student Colloquium, University of Waterloo, 2014.
Teaching:
Details see here
NMSU
2026: Calculus III, Measure and Integration
2025: Calculus III, Mathematics of Machine Learning
2024: Calculus II, Calculus III
2023: Calculus I, Calculus II
University of Waterloo
Harmonic Analysis (online), Measure and Integration (online), Calculus III for Honours Math, Applied Complex Analysis
University of Victoria
Introduction to Calculus, Calculus for Students in the Social and Biological Sciences
Services
Journal Reviewer
Journal of Functional Analysis
Annals of Functional Analysis
Advances in Operator Theory
Results in Mathematics
International Mathematics Research Notices
Proceeding for American Mathematical Society
Proceedings A of the Royal Society of Edinburgh
Journal of Mathematica Analysis and Applications
Indiana University Mathematics Journal
Banach Journal of Mathematical Analysis
Complex Analysis and Operator Theory
Operators and Matrices
Junior Mentor at Operator Algebras Mentor Network
Awards:
Mathematics Doctoral Prize competition – Second Place, University of Waterloo
Susan and Janos Aczel Graduate Scholarship, University of Waterloo, 2016-2018
Ontario Graduate Fellowship, University of Waterloo, 2015
Ontario Graduate Scholarship, University of Waterloo, $15,000, 2013
Governor General’s Silver Medal, University of Waterloo, 2012
Mike Vangoch Memorial Scholarship, University of Waterloo, 2012
Putnam Team Member, University of Waterloo, 2010 & 2012
Putnam Competition: Top 100, Dec.2010; Honorable Mention, Dec. 2009; Top 500, Dec.2008
Dr. Nathan Mendelsohn Prize, 2009
J.D. Kalbfleisch Scholarship for International Students, University of Waterloo, 2008