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.

  • 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:
  1. Commutants of Toeplitz operators with harmonic symbols (pdf), with Akaki Tikaradze, 2017, submitted.
  2. Coposinormality of the Cesàro matrices (pdf), with H.C. Rhaly Jr., 2017, submitted.
  3. Composition operators on Hilbert spaces of entire functions of several variables (pdf), with M.L. Doan and L.H. Khoi, Integr. Equ. Oper. Theory 88 (2017), no.3, 301-330.
  4. Commutants of separately radial Toeplitz operators in several variables (pdf), J. Math. Anal. Appl. 453 (2017), no. 1, 48--63.
  5. Composition operators between Segal--Bargmann spaces (pdf), Journal of Operator Theory 78 (2017), no. 1, 135--158.

Last updated: October 07, 2017. This webpage uses the bootstrap framework.