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.

  • 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 Mathematical Topics: 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.
  • 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), preprint (2021), 1--25; arXiv:2101.03937
  2. 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
  3. Hyponormal Toeplitz operators on weighted Bergman spaces (pdf) (with Brian Simanek), to appear Integral Transforms Spec. Funct. (2020), 1--8; arXiv:2003.07330
  4. Inner functions in weighted Hardy spaces (pdf), Anal. Math. Phys. 10 (2020), no. 2, Paper No. 25; arXiv:1912.05715
  5. Decomposing algebraic $m$-isometric tuples (pdf), J. Funct. Anal. 278 (2020), no. 8, 108424; arXiv:1912.05954
  6. Self-commutator norm of hyponormal Toeplitz operators (pdf), Oper. Matrices 13 (2019), no. 1, 85--91

Last updated: March 01, 2021. This webpage uses the bootstrap framework.