Welcome to Trieu Le's homepage

(picture taken by Nate Iverson)
Dept. of Mathematics and Statistics
University of Toledo
Toledo, OH 43606
• Curriculum Vitae (pdf)
• My full name in Vietnamese is Lê Long Triều. I received my Ph.D. in Mathematics from the University at Buffalo in 2007 under the direction of Prof. Jingbo Xia. I spent the year 2007-2008 as a postdoctoral fellow at the University of Toronto and the Fields Institute under the supervision of Prof. George Elliott. During 2008-2009, I was a postdoctoral fellow at the University of Waterloo under the supervision of Prof. Ken Davidson. I've been at the University of Toledo since 2009.
• Email: trieu (dot) le (number 2) (at) utoledo (dot) edu
• Teaching Statement (pdf)
• I've taught a variety of courses from introductory undergraduate to graduate courses. Below is a list of courses that I have taught at UT and elsewhere.
• For students: take a Calculus 1 Quiz.

• MATH 4830/5830 (Intro to Real Analysis II) and MATH 6980/8980 (Topics in Mathematical Science).
• Fall 2021: MATH 1850 (Calculus I) and MATH 4820/5820 (Intro to Real Analysis I).
• Spring 2021: MATH 2860 (Elementary Differential Equations) and MATH 4830/5830 (Intro to Real Analysis II).
• Fall 2020: MATH 2860 (Elementary Differential Equations) and MATH 4820/5820 (Intro to Real Analysis I).
• Spring 2020: MATH 4880/5880 Complex Variables and MATH 6980/8980 (Topics in Mathematical Science: Intro to Operator Theory).
• Spring 2019: MATH 2860 (Elementary Differential Equations) and MATH 6830/8830 (Functional Analysis II).
• Fall 2018: MATH 2860 (Elementary Differential Equations) and MATH 6820/8820 (Functional Analysis I).
• Spring 2018: MATH 2860 (Elementary Differential Equations) and MATH 4830/5830 (Intro Real Analysis II).
• Fall 2017: MATH 2860 (Elementary Differential Equations) and MATH 4820/5820 (Intro to Real Analysis I).
• Spring 2017: MATH 2860 (Elementary Differential Equations) and MATH 6810/8810 (Real Analysis II).
• Fall 2016: MATH 2860 (Elementary Differential Equations) and MATH 6800/8800 (Real Analysis I).
• Spring 2016: MATH 6810/8810 (Real Analysis II).
• Fall 2015: MATH 2850 (Multivariable Calculus) and MATH 6800/8800 (Real Analysis I).
• Spring 2015: MATH 1200, MATH 1850, MATH 4460 (Introduction to Topology II).
• Fall 2014: MATH 1200 (Mathematical Modelling), MATH 1860, MATH 1980 (Trig Review), MATH 4450 (Introduction to Topology I).
• Spring 2014: MATH 1840, MATH 1860, MATH 2860.
• Fall 2013: MATH 1320, MATH 1850, MATH 1830, MATH 2450 and MATH 1980.
• Spring 2013: MATH 1850 and MATH 1860 (Single Variable Calculus I and II) I was the coordinator for MATH 1860.
• Fall 2012: MATH 1320 (College Algebra), MATH 1850 (Single Variable Calculus I) I was the coordinator for MATH 1850.
• Spring 2012: MATH 1860 (Single Variable Calculus II), MATH 3860 (Elementary Differential Equations).
• Fall 2011: MATH 1320 (College Algebra), MATH 1860 (Single Variable Calculus II).
• Spring 2011: MATH 1270 (Calculus for Business with Applications II), MATH 1860 (Single Variable Calculus II) and MATH 3860 (Elementary Differential Equations).
• Fall 2010: MATH 1750 and MATH 1760 (Calculus for the life sciences with applications I and II).
• Spring 2010: MATH 1830 (Calculus I for Mathematicans, Scientists and Educators) and MATH 1270 (Calculus for Business with Applications II).
• Fall 2009: MATH 1850 (Single Variable Calculus I) and MATH 1270 (Calculus for Business with Applications II).
• Research Statement (pdf)
• My research interests are in the fields of Operator Theory and Operator Algebras. More specifically, I am interested in Toeplitz, Hankel, composition operators, weighted composition operators on Hilbert spaces of analytic function spaces such as Bergman, Hardy and Segal-Bargmann (Fock) spaces. I am also interested in dilation theory, frame theory and its applications, and reproducing kernel methods in Machine Learning. Click here for my publications.
• Our research group in Complex Analysis and Operator Theory.
• Recent papers (click a title to see the coressponding abstract. Click an abstract to hide it):
1. A generalization of the Brown-Halmos theorems for the unit ball (pdf) (with Akaki Tikaradze), Adv. Math. 404 (2022), Paper No. 108411; arXiv:2101.03937
2. Analogues of finite Blaschke products as inner functions (pdf) (with Christopher Felder), Bull. Lond. Math. Soc. (2022), 1--20; arXiv:2105.01766
3. Finite rank perturbations of Toeplitz products on the Bergman space (pdf) (with Damith Thilakarathna), J. Funct. Anal. 280 (2021), no. 7, 108850; arXiv:2011.05414
4. Hyponormal Toeplitz operators on weighted Bergman spaces (pdf) (with Brian Simanek), Integral Transforms Spec. Funct. 32 (2021), no. 5-8, 560-567; arXiv:2003.07330
5. Inner functions in weighted Hardy spaces (pdf), Anal. Math. Phys. 10 (2020), no. 2, Paper No. 25; arXiv:1912.05715
6. Decomposing algebraic $m$-isometric tuples (pdf), J. Funct. Anal. 278 (2020), no. 8, 108424; arXiv:1912.05954

Last updated: May 14, 2022. This webpage uses the bootstrap framework.