Lectures as of June 2012
On Liberal Education
February 2011
"Education and Intellectual Habits, Old and New," Vann Lecture, The McCallie School, Chattanooga, Tennessee
January 2011
"Global Liberal Education, Participatory Culture, and the Intellectual Habits of Students," Association of American Colleges and Universities, national meeting, San Francisco
On Undergraduate Mathematics and Teaching Mathematics
March 2009
"Circular irrationalities: From Galois to Kummer and back again", Invited Lecture, New Jersey MAA section meeting, Monmouth University
March 2008
"Circular irrationalities: From Galois to Kummer and back again", Plenary Lecture, Southern California-Nevada MAA section meeting, University of San Diego
January 2008
"Teaching a Galois theory for undergraduates", MAA Minicourse, Joint Mathematics Meetings, San Diego
November 2007
"Teaching a Galois theory for undergraduates", Plenary Workshop, MD/DC/VA MAA Section Meeting, Anne Arundel Community College, Maryland
October 2007
"An elementary history of Fermat's Last Theorem" and "Circular irrationalities: From Galois to Kummer and back again", Plenary Lectures, Indiana MAA Section Meeting, Manchester College
April 2007
"Circular irrationalities: From Galois to Kummer and back again", Plenary Lecture, Sewanee-Hendrix-Rhodes Undergraduate Mathematics Symposium, Sewanee: The University of the South
March 2007
"Circular irrationalities: From Galois to Kummer and back again", Section Lecture, Mathematical Association of America Southeastern Section, Statesboro, Georgia
November 2006
"Circular irrationalities: From Galois to Kummer and back again", Colloquium, Appalachian State University
January 2005
"Teaching a Galois theory for undergraduates", MAA Minicourse, Joint Mathematics Meetings, Atlanta
April 2003
"A survey of Galois theory from algebra to arithmetic", Celebration of the Career of Clay C. Ross, Sewanee: The University of the South
March 2002
"A Coat of Many Colors: Fermat's Last Theorem," MAA State Dinner Address, Greensboro College
January 2001
"A computational course in elementary Galois theory using Mathematica", Joint Mathematics Meetings, New Orleans
April 2000
"A Coat of Many Colors: Fermat's Last Theorem", Kappa Mu Epsilon Induction Address, Elon College
January 1999
"A Coat of Many Colors: Fermat's Last Theorem", University of Haifa
March 1998
"Teaching Galois Theory Constructively," Mathematical Association of America (Southeastern Section), Charleston, South Carolina
"A Coat of Many Colors: Fermat's Last Theorem," University of North Carolina---Asheville
October 1997
"Patterns in Polynomials: Realizing Galois Groups Using Number Theory," Sewanee: The University of the South
August 1996
"Computer Algebra Systems and Constructive Galois Theory: Ideas for a New Second-Semester Abstract Algebra Course," 1996 Mathfest, Seattle, Washington
March 1996
"A Coat of Many Colors: Fermat's Last Theorem," Wingate University
On Mathematical Research
September 2009
"Galois cohomology groups as Galois modules, and applications", Linear algebraic groups and related structures, Banff International Research Station
December 2007
"Galois module structure of Galois cohomology", Algebraic Geometry Seminar, Duke University
January 2007
"Galois module structure of square classes in Klein 4-group extensions", Special session on cohomology and representation theory, Joint Mathematics Meetings, New Orleans
September 2006
"Galois module structure of Galois cohomology", Algebraic groups, quadratic forms, and related topics, Banff International Research Station
May 2006
"La structure galoisienne de la cohomologie galoisienne", Séminaire de Théorie de Nombres, Institut de Mathématiques de Bordeaux
December 2004
"Galois modules and Galois cohomology I, II, III", Workshop on Galois modules, Galois cohomology, pro-p-groups, and related topics, University of Western Ontario
October 2004
"Galois modules in Galois theory", Colloquium, Emory University
June 2004
"La structure 'galoisienne' du module des classes des puissances p-èmes du groupe multiplicatif d'une extension cyclique du corps K/F", Université de Valenciennes
November 2003
"Galois module structure of the group of p-th power classes of a cyclic field extension", Groups, representations and Galois theory, in honor of Walter Feit, Yale University
October 2003
"Pth-power classes of a cyclic extension of degree p: G-structure, applications, classification", Quadratic forms, algebraic groups, and Galois cohomology, Banff International Research Station
July 2003
"Galois module structure of the group of p-th power classes of a cyclic field", Colloquium, University of Western Ontario
March 2003
"La structure galoisienne du module des extensions cycliques K/F", Séminaire de Théorie de Nombres, Institut de Mathématiques de Bordeaux
January 2003
"Galois module structure of for [K:F]=p^n", Joint Mathematics Meetings, Baltimore
November 2002
"New directions in Galois theory: some connections with arithmetic", East Carolina University
July 2002
"Galois module structure of ", Brauer Groups, Pingree Park (Colorado State University), Colorado
June 2002
"Galois module structure of for K/F cyclic of degree p^n", Groups, Representations, and Cohomology (AMS-IMS-SIAM Summer Research Conference), Mt. Holyoke College
April 2002
"Galois module structure of the group of p-th power classes of a cyclic field", Algebra and Discrete Mathematics Seminar, Clemson University
March 2002
"Galois module structure of for [K:F]=p", Southeastern Regional Meeting on Numbers (SERMON), Clemson University
February 2002
"Galois module structure of for cyclic p-extensions K/F", Mathematisches Forschungsinstitut Oberwolfach
January 2002
"Galois module structure of for [K:F]=p", Joint Mathematics Meetings, San Diego
July 2000
"Finding Explicit Solutions to Galois Embedding Problems", University of Western Ontario
January 2000
"Quadratic Descent for Quaternion Algebras", Joint Mathematics Meetings, Washington, D.C.
November 1999
"Constructive Galois Theory", University of Richmond
October 1999
"Galois Embedding Problems for Double Covers", N. C. State University
July 1999
"Explict Quadratic Descent of Quaternion Algebras", 21st Journées Arithmétiques, Vatican City
February 1999
"Finding Explicit Solutions to Galois Embedding Problems", Technion--Israel Institute of Technology
January 1999
"Quadratic Descent of Quaternion Algebras and Applications to Galois Embedding Problems", Hebrew University of Jerusalem
December 1998
"Galois Embedding Problems with Kernel ", Ben-Gurion University of the Negev (joint algebra seminar with Bar-Ilan University)
October 1998
"Galois Embedding Problems with Kernel ", Technion--Israel Institute of Technology
April 1998
"Methods for Solving 2-Group Embedding Problems" and "Embedding Problems in Constructive Galois Theory", University of Kentucky
January 1998
"Embedding Problems and Quaternion Algebra Descent," Joint Mathematics Meetings, Baltimore
November 1997
"Methods for Solving 2-Group Embedding Problems" and "Embedding Problems in Constructive Galois Theory", University of Oklahoma
July 1997
"Methods for Solving 2-Group Embedding Problems" and "Embedding Problems and Reduction of Field of Definition of Quaternion Algebras," Universitat de Barcelona
June 1997
"2-Group Embedding Problems and Quaternion Algebras," Université Besançon
"2-Group Embedding Problems and Quaternion Algebras," Université Valenciennes
"2-Group Embedding Problems and Quaternion Algebras," Københavns Universitet
"2-Group Embedding Problems and Quaternion Algebras," Université Lille I
"Embedding Problems and Reduction of Field of Definition of Quaternion Algebras," Mathematisches Forschungsinstitut Oberwolfach
May 1997
"Methods for Solving 2-Group Embedding Problems," Université Lille I
"2-Group Embedding Problems and Quaternion Algebras," Université Paris VI
October 1996
"Isometries of Quadratic Forms Characterize All DC-Extensions," Special Session on Galois Theory, American Mathematical Society (Southeastern Section), Chattanooga, Tennessee
June 1996
"Dihedral Groups and Parameterizations," International Conference on Brauer Groups and Galois Groups, Haifa, Israel
April 1996
"Computer Algebra Systems and Constructive Galois Theory: Ideas for a New Second-Semester Abstract Algebra Course," Mathematical Association of America (Southeastern Section), Huntsville, Alabama
March 1996
"The Constructive Inverse Galois Problem," Mid-Atlantic Algebra Conference, Raleigh, North Carolina
"Constructive Galois Theory," Wake Forest University
February 1996
"Constructive Galois Theory," Appalachian State University
January 1996
"Explicit Construction of PSL(2,7)-Fields over Q(t) Embeddable in SL(2,7)-Fields," Joint Mathematics Meetings, Orlando
"Techniques for Explicit Construction of Galois Extensions," 1995 Mathfest, Burlington, Vermont
July 1995
"Central embedding problems: Obstructions, Solutions, and Applications," 19th Journées Arithmétiques, Barcelona, Spain
January 1995
"The Constructive Inverse Galois Problem," N. C. State University