The John H. Barrett Memorial Lectures began in 1970 as a tribute to Dr. John H. Barrett, Mathematics Department Head (1964 - 1969) at the University of Tennessee, upon his death in 1969. They have been given annually since 1970 in a variety of mathematical fields by a succession of distinguished speakers.
Initially, the series centered on Ordinary Differential Equations, the research area of John Barrett. Since the mid-eighties however, other topics representing interests of research groups of the Mathematics Department have also been chosen.
| Year | Area | Theme | Principal Speakers |
| 1970 | ODE | ??? | Einar Hille - Yale(emeritus), New Mexico |
| 1971 | ODE | Stability of Differential and Difference Equations | J P LaSalle - Brown |
| 1972 | ODE | Large Systems of ODEs and Optimal Inequalities | Garrett Birkoff - Harvard |
| 1973 | ODE | Inequalities | W N Everett - Dundee |
| 1974 | ODE | Nonlinear Techniques for Linear Oscillation Problems | Zeev Nehari - Carnegie-Mellon |
| 1975 | ODE | Generic Bifurcations in ODEs | Jack Hale - Brown |
| 1976 | ODE | Some Aspects of Population Biology - Immunology, Ecology and Epidemiology | Paul Waltman - Iowa |
| 1977 | ODE | Oscillation Theory of ODEs | W T Reid - Oklahoma(emeritus) |
| 1978 | Algebra | Group Actions on Trees | Hyman Bass - Columbia |
| 1979 | ODE | ??? | Fred Brauer - Wisconsin |
| 1980 | Tolology | The PL Schoenflies Theorem | William Eaton - Texas |
| 1981 | ODE ? | ??? | James Bramble - Cornell |
| 1982 | ODE | Topological and Variational Methods for Nonlinear Boundary Value Problems | Jean Mawhin - Louvain |
| 1983 | Analysis | ??? | Donald Sarason - Berkeley |
| 1984 | Math Ecology | Fisheries Management | Donald Ludwig -British Columbia |
| 1985 | ODE | Stability and Control | Richard K Miller - Iowa State |
| 1986 | Algebra | Algebraic Geometry | Shreeram Abhyankar - Purdue |
| 1987 | ODE | Inverse Spectral Problems | Joyce McLaughlin - RPI |
| 1988 | Analysis | ??? | Alan Beardon - Cambridge |
| 1989 | Math Physics | Topological Quantum Field Theories | Sir Michael Atiyah - Oxford
I M Singer - MIT Clifford Taubes - Harvard Karen Uhlenbeck - Texas |
| 1991 | PDE | Non-convex Problems in PDEs:
Equilibrium Theory and Dynamics |
John Ball - Herriot-Watt
L Creg Evans - Berkeley Paul Fife - Utah |
| 1992 | Topology | Barrett Lectures on Homotopy Theory | Kiyoshi Igusa - Brandeis
Tom Goodwillie - Brown |
| 1993 | Probability | Stochastic Differential Equations in Infinite Dimensions & Measure Valued Processes | Donald Dawson - Fields Institute
Eugene Dynkin - Cornell Gopinath Kallianpur - UNC |
| 1994 | Algebra | Zero-Dimensional Commutative Rings | Robert Gilmer - Florida State |
| 1995 | PDE | Nonlinear Partial Differential Equations in Geometry and Physics | Ronald Fintushel - Michigan State
Sergiu Klainerman - Princeton Fang-Hua Lin - Courant Michael Struwe - ETH |
| 1996 | ODE | Spectral Theory and Computational Methods of Sturm-Liouville Problems | Anton Zettl - Northern Illinois |
| 1997 | Optimal Control |
Control Theory and Applications | E B Lee - Minnesota
Irena Lasiecka - Virginia |
| 1998 | Geometry | Discrete Conformal Geometry | James Cannon - Brigham Young
Juha Heinonen - Michigan Oded Schramm - Weizmann |
| 1999 | Teaching | Successful Strategies for the Use of Technology in the Teaching of Mathematics | William Bauldry -Appalachian State
John Harvey - Wisconsin M Kathleen Heid - Penn State Frank Wattenberg - Montana State |
| 2000 | Differential Geometry | New Directions in Differential Geometry | Alice Chang - Princeton
Tobias Colding - Courant Karsten Grove - Maryland Jon Wolfson - Michigan State |
| 2001 | Computational Math | New Directions and Developments in Computational Mathematics | David Keyes - Old Dominion
Mary Wheeler - Texas Jinchao Xu - Penn State |
| 2002 | Algebra | Recent Progress in Arithmetic and Algebraic Geometry | Yasutaka Ihara - Kyoto
Yujiro Kawamata - Tokyo |
| 2003 | Probability | Random walks, Levy processes, and related topics | Jean Bertoin - Paris VI
Gregory Lawler - Cornell |
| 2005 | PDE | New Developments in Nonlinear Partial Differential Equations | Sergiu Klainerman - Princeton |
| 2006 | Topology | Current Developments in Geometric Topology | John Baez - Riverside
Stephen Bigelow -Santa Barbara William Goldman - Maryland |
| 2007 | Applied Math | Multi-scale Modeling and Simulation in Materials Science | Russel Caflisch - UCLA
Bjorn Engquist - Texas Mitchell Luskin - Minnesota |
| 2008 | Math Education | Transitions to, through and beyond Calculus | Zalman Usiskin - Chicago
David Bressoud - Macalaster Vena Long - Tennessee Susanna Epp - DePaul Margaret Robinson - Mt.Holyoke Francis Su - Harvey Mudd |
| 2009 | Probability | Stochastic Analysis and its Applications | Richard Bass - Connecticut
Ofer Zeitoun - Minnesota & Weizmann |
| 2010 | Geometry | Discrete Differential Geometry and Applications
at Highland Manor Inn and Convention Center in Townsend TN (Smokies) | Rick Kenyon - Brown
Alexander Bobenko - TU-Berlin Elias Wegert - Freiberg Peter Schröder - CalTech Ken Stephenson - Tennessee |
| 2011 | Differential Geometry | Mathematical Relativity | Richard Schoen - Stanford
Robert Wald - Chicago Igor Rodnianski - Princeton |