Talks


April 2014 Southern Regional Algebra Conference, Auburn University at Montgomery, Montgomery, Alabama
Pythagorean Triples and Complex Numbers
April 2014 Special Session on Linear Operators in Representation Theory and in Applications, 2014 Spring Central Section AMS Meeting, Texas Tech University, Lubbock, Texas
On the [p]-Map of a Restricted Lie Algebra
March 2014 Colloquium, Department of Mathematical Sciences, DePaul University, Chicago, Illinois
Vector Products and Division Algebras
March 2014 Algebra and Combinatorics Seminar, Department of Mathematical Sciences, DePaul University, Chicago, Illinois
The 0-PIM of a Restricted Lie Algebra and the Number of Its Irreducible Representations
February 2014 Student Symposium Series, University of South Alabama, Mobile, Alabama
Why Space is 3-Dimensional or the Scarcity of Vector Products and Division Algebras
September 2013 Algebra Seminar, University of South Alabama, Mobile, Alabama
Vector Products, Composition Algebras, and Spheres II
September 2013 Algebra Seminar, University of South Alabama, Mobile, Alabama
Vector Products, Composition Algebras, and Spheres I
May 2013 Dipartimento di Matematica e Applicazioni, UniversitÓ degli Studi di Milano-Bicocca, Milano, Italy
Lie Algebra Cohomology and Applications (6 lectures)
November 2012 Algebra Seminar, University of South Alabama, Mobile, Alabama
Pythagorean Triples and Hilbert's Theorem 90
November 2012 Florida Local Chapter MAA Meeting, University of West Florida, Pensacola, Florida
Pythagorean Triples and Hilbert's Theorem 90
October 2012 Special Session on Representations of Groups and Algebras, 2012 Fall Western Section AMS Meeting, University of Arizona, Tucson, Arizona
Restricted Lie Algebras with Maximal 0-PIM
May 2012 Seminario di Algebra, UniversitÓ degli Studi di Milano-Bicocca, Milano, Italy
Subadditive Functions and Dynkin Diagrams
May 2012 Dipartimento di Matematica e Applicazioni, UniversitÓ degli Studi di Milano-Bicocca, Milano, Italy
Support Varieties for Hopf Algebras (4 lectures)
April 2012 Algebra Seminar, Tulane University, New Orleans, Louisiana
Quantum Lie Algebras
March 2012 2012 Southern Regional Algebra Conference, Clayton State University, Morrow, Georgia
Hom-Lie Algebras - Examples and Applications
October 2011 Special Session on Quantum Groups and Representation Theory, 2011 Fall Central Section AMS Meeting, University of Nebraska-Lincoln, Lincoln, Nebraska
Support Varieties and Representation Type of Self-Injective Algebras
May 2011 Bicocca-Workshop on Lie Algebras 2011, UniversitÓ degli Studi di Milano-Bicocca, Milano, Italy
Support Varieties and Representation Type of Small Quantum Groups and Hecke Algebras
May 2011 Dipartimento di Matematica e Applicazioni, UniversitÓ degli Studi di Milano-Bicocca, Milano, Italy
Simple Lie Algebras in Prime Characteristic (5 lectures)
March 2011 Algebra Seminar, University of South Alabama, Mobile, Alabama
Composition Algebras and Alternative Division Algebras VII
March 2011 Algebra Seminar, University of South Alabama, Mobile, Alabama
Composition Algebras and Alternative Division Algebras VI
March 2011 Algebra Seminar, Tulane University, New Orleans, Louisiana
Support Varieties and Representation Type
February 2011 Algebra Seminar, University of South Alabama, Mobile, Alabama
Composition Algebras and Alternative Division Algebras V
February 2011 Algebra Seminar, University of South Alabama, Mobile, Alabama
Composition Algebras and Alternative Division Algebras IV
February 2011 Algebra Seminar, University of South Alabama, Mobile, Alabama
Composition Algebras and Alternative Division Algebras III
January 2011 Algebra Seminar, University of South Alabama, Mobile, Alabama
Composition Algebras and Alternative Division Algebras II
January 2011 Algebra Seminar, University of South Alabama, Mobile, Alabama
Composition Algebras and Alternative Division Algebras I
December 2010 Algebra Seminar, University of South Alabama, Mobile, Alabama
Vector Products and Composition Algebras
November 2010 Florida Local Chapter MAA Meeting, University of West Florida, Pensacola, Florida
Vector Products, Division Algebras, and Spheres
October 2010 Southern Regional Algebra Conference, University of Louisiana at Lafayette, Lafayette, Lafayette, Louisiana
Outer Derivations of Lie Algebras
March 2010 Southern Regional Algebra Conference, Auburn University at Montgomery, Montgomery, Alabama
Split Chief Factors and 1-Cohomology for Lie Algebras
November 2009 Florida Local Chapter MAA Meeting, University of West Florida, Pensacola, Florida
Power Sums and Bernoulli Polynomials
May 2009 Algebra and Combinatorics Seminar, Texas A&M University, College Station, Texas
Complexity, Varieties, and Representation Type
November 2008 Florida Local Chapter MAA Meeting, University of West Florida, Pensacola, Florida
Approximations of Square Roots: From the Babylonians until Today
November 2008 Algebra Seminar, University of South Alabama, Mobile, Alabama
Complexity, Varieties, and Representation Type III
November 2008 Algebra Seminar, University of South Alabama, Mobile, Alabama
Complexity, Varieties, and Representation Type II
October 2008 Algebra Seminar, University of South Alabama, Mobile, Alabama
Complexity, Varieties, and Representation Type I
September 2008 2008 Southern Regional Algebra Conference, University of Colorado at Colorado Springs, Colorado Springs, Colorado
Leibniz Algebras
May 2008 Special Session on Hopf Algebras and Quantum Groups, 2008 Spring Western Section AMS Meeting, Claremont McKenna College, Claremont, California
Support Varieties and Representation Type of Finite Quantum Groups
April 2008 Algebra Seminar, University of South Alabama, Mobile, Alabama
Subadditive Functions and Dynkin Diagrams
March 2008 Special Session on Geometric and Combinatorial Representation Theory, 2008 Spring Southeastern Section AMS Meeting, Louisiana State University, Baton Rouge, Louisiana
Support Varieties and Representation Type of Finite Quantum Groups
March 2008 Special Session on Actions of Quantum Algebras, 2008 Spring Southeastern Section AMS Meeting, Louisiana State University, Baton Rouge, Louisiana
The Auslander-Reiten Quiver of Finite Quantum Groups
November 2007 Florida Local Chapter MAA Meeting, University of West Florida, Pensacola, Florida
How to Prove the Irrationality of Roots of Integers
November 2007 Special Session on Lie and Representation Theory, 2007 Fall Southeastern Section AMS Meeting, Middle Tennessee State University, Murfreesboro, Tennessee
On the Cohomology of Modular Lie Algebras
September 2007 Southern Regional Algebra Conference, University of Louisiana at Lafayette, Lafayette, Louisiana
Lie Algebras in which being an Ideal is a Transitive Relation
June 2007 International Conference on Rings and Things dedicated to Carl Faith on his 80th birthday and Barbara Osofsky on her 70th birthday, Ohio University - Zanesville, Zanesville, Ohio
Injective Modules and Prime Ideals of Noetherian PI Rings
May 2007 Algebra Seminar, Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio
Poisson Superbrackets, Classical r-Matrices, and Cohomology
May 2007 Colloquium, Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio
Lie Bialgebras and the Classical Yang-Baxter Equation
April 2007 Colloquium, Department of Mathematics, University of South Florida, Tampa, Florida
Lie Bialgebras and the Classical Yang-Baxter Equation
March 2007 Robert C. Thompson Matrix Meeting, Auburn University, Auburn, Alabama
Poisson Superbrackets, the Classical Yang-Baxter Operator, and Determinants
March 2007 2007 Zassenhaus Group Theory Conference, Saint Louis University, Saint Louis, Missouri
Lie Algebras of Cohomological Dimension One
February 2007 Algebra Seminar, University of South Alabama, Mobile, Alabama
Deformations and Graded Lie Superalgebras II
February 2007 Colloquium, Department of Mathematics and Statistics, Auburn University, Auburn, Alabama
Lie Bialgebras and the Classical Yang-Baxter Equation
January 2007 Algebra Seminar, University of South Alabama, Mobile, Alabama
Deformations and Graded Lie Superalgebras I
January 2007 AMS Special Session on Cohomology and Representation Theory,
Annual Joint Mathematics Meeting, New Orleans, Louisiana
Injective Modules and Cohomology of Lie Algebras
November 2006 Algebra Seminar, University of South Alabama, Mobile, Alabama
Quantum Groups XI
November 2006 Algebra Seminar, University of South Alabama, Mobile, Alabama
Quantum Groups X
November 2006 Southeastern Algebra Conference, Auburn University, Auburn, Alabama
Frobenius Coalgebras
October 2006 Algebra Seminar, University of South Alabama, Mobile, Alabama
Quantum Groups IX
October 2006 Algebra Seminar, University of South Alabama, Mobile, Alabama
Quantum Groups VIII
October 2006 Algebra Seminar, University of South Alabama, Mobile, Alabama
Quantum Groups VII
September 2006 Algebra Seminar, University of South Alabama, Mobile, Alabama
Quantum Groups VI
September 2006 Algebra Seminar, University of South Alabama, Mobile, Alabama
Quantum Groups V
September 2006 Algebra Seminar, University of South Alabama, Mobile, Alabama
Quantum Groups IV
September 2006 Algebra Seminar, University of South Alabama, Mobile, Alabama
Quantum Groups III
September 2006 Algebra Seminar, University of South Alabama, Mobile, Alabama
Quantum Groups II
August 2006 Algebra Seminar, University of South Alabama, Mobile, Alabama
Quantum Groups I
April 2006 Special Session on Lie Algebras and Applications, 2006 Spring Western Section AMS Meeting, San Francisco State University, San Francisco, California
The Graded Lie Superalgebra Structure on the Hochschild Cohomology of Truncated Polynomial Algebras
November 2005 Algebra Seminar, University of South Alabama, Mobile, Alabama
Applications of Invariant Theory II
November 2005 Algebra Seminar, University of South Alabama, Mobile, Alabama
Applications of Invariant Theory I
November 2005 Algebra Seminar, University of South Alabama, Mobile, Alabama
Invariant Theory of Reductive Groups II
October 2005 Algebra Seminar, University of South Alabama, Mobile, Alabama
Invariant Theory of Reductive Groups I
September 2005 Algebra Seminar, University of South Alabama, Mobile, Alabama
Invariant Theory of Finite Groups
September 2005 Algebra Seminar, University of South Alabama, Mobile, Alabama
Classical Invariant Theory
June 2005 Groups, Rings and Algebras, A Conference in Honor of Donald S. Passmanĺs 65th Birthday, University of Wisconsin, Madison, Wisconsin
Injective Modules over Universal Enveloping Algebras
May 2005 Lie Algebras, Vertex Operator Algebras and their Applications, A Conference in Honor of Robert Lee Wilson and James Lepowsky on their 60th Birthdays, North Carolina State University, Raleigh, North Carolina
Existence of Triangular Lie Bialgebra Structures
March 2005 Zassenhaus Group Theory Conference 2005, Auburn University at Montgomery, Montgomery, Alabama
On Groups and Associated Restricted Lie Algebras
February 2005 Algebra Seminar, University of South Alabama, Mobile, Alabama
Injective Modules over Universal Enveloping Algebras
February 2005 Algebra Seminar, University of South Alabama, Mobile, Alabama
Injective Modules over Noetherian Rings
January 2005 Algebra Seminar, University of South Alabama, Mobile, Alabama
Prime Ideals in Non-Commutative Rings
January 2005 Algebra Seminar, University of South Alabama, Mobile, Alabama
Lie Algebras and Universal Enveloping Algebras
January 2005 AMS Special Session on Modular Representation Theory of Finite and Algebraic Groups, Annual Joint Mathematics Meeting, Atlanta, Georgia
Extensions of Modules for sl2
November 2004 2004 Southern Regional Weekend Algebra Conference, Southeastern Louisiana University, Hammond, Louisiana
Existence of Triangular Lie Bialgebra Structures
October 2004 Algebra Seminar, University of South Alabama, Mobile, Alabama
Existence of Triangular Lie Bialgebra Structures II
October 2004 Algebra Seminar, University of South Alabama, Mobile, Alabama
Existence of Triangular Lie Bialgebra Structures I
October 2004 Algebra Seminar, University of South Alabama, Mobile, Alabama
Lie Bialgebras and the Classical Yang-Baxter Equation
September 2004 Abelian Groups, Rings and Modules Conference in Honor of Edgar E. Enochs, Auburn University, Auburn, Alabama
Homological Properties of Universal Enveloping Algebras
May 2004 Lie Algebras, their Classification and Applications, Braunschweig University of Technology, Germany
Simple Lie Algebras of Cartan Type
April 2004 Algebra Seminar, University of South Alabama, Mobile, Alabama
Sums of Squares and Integral Quaternions
November 2003 Weekend Algebra Meeting, Florida Atlantic University, Boca Raton, Florida
The Jacobson Radical of a Lie Algebra
October 2003 Algebra Seminar, University of South Alabama, Mobile, Alabama
Spin Representations of Orthogonal Lie Algebras
October 2003 Algebra Seminar, University of South Alabama, Mobile, Alabama
Clifford Modules
October 2003 Algebra Seminar, University of South Alabama, Mobile, Alabama
Clifford Algebras and Orthogonal Groups
October 2003 Colloquium, University of South Alabama, Mobile, Alabama
Clifford Algebras - Examples and Applications
June 2003 Representation Theory Around the Channel II, Jules Verne University of the Picardie, Amiens, France
Symmetric Powers of Modules for Finite Chevalley Groups and Frobenius Kernels
May 2003 Algebra and Geometry Seminar, Otto-von-Guericke University Magdeburg, Germany
Power Sums and Bernoulli Polynomials
April 2003 Colloquium, Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama
Representation Theory of Modular Lie Algebras
April 2003 Mobile Math Circle, University of South Alabama, Mobile, Alabama
Power Sums and Bernoulli Polynomials
April 2003 Workshop on Hochschild Cohomology and Applications, University of Leicester, England
Homological Properties of Universal Enveloping Algebras in Prime Characteristic
December 2002 Mini-Conference on Computational Aspects of Group Theory, Aachen University of Technology, Germany
On Groups and Associated Lie Algebras
November 2002 Representation Theory Days, Kassel University, Germany
Locally Finite Representations
November 2001 Representation Theory Days, Otto-von-Guericke University Magdeburg, Germany
On the Number of Irreducible Representations of a Supersolvable Restricted Lie Algebra
June 2000 Mathematics Seminar, University of the Bundeswehr at Hamburg, Germany
Geometric Kinematics of Planar Mechanisms (5 talks)
December 1999 Colloquium, University of New Orleans, New Orleans, Louisiana
Existence of Triangular Lie Bialgebra Structures
November 1999 Ring Theory Seminar, University of Louisiana at Lafayette, Lafayette, Louisiana
Hopf Algebras - An Introduction Guided by Examples
October 1999 Thirtieth Annual University of Louisiana at Lafayette Mathematics (Algebra) Conference, University of Louisiana at Lafayette, Lafayette, Louisiana
Existence of Real Triangular Lie Bialgebra Structures
June 1999 Representation Theory Seminar Bielefeld-Chemnitz, Bielefeld University, Germany
Projective Modules and Blocks of Supersolvable Restricted Lie Algebras
September 1998 Summerschool and Workshop on Springer Correspondence and Applications, Picquigny, France
╔tale Topology and Cohomology
September 1998 International Conference on the Representation Theory of Algebras, Bielefeld University, Germany
Stable Categories of Tame Local Symmetric Algebras
June 1998 Representation Theory Seminar, University of Oxford, England
Fock Spaces and Combinatorics
May 1998 Representation Theory Seminar, University of Oxford, England
Construction of Affine Kac-Moody Algebras
May 1998 Algebra Seminar, University of Oxford, England
Variations on a Theorem of Burnside
March 1998 Special Session on Cohomology of Finite Groups, 1998 Spring Central Section AMS Meeting, Kansas State University, Manhattan, Kansas
Cohomology of Restricted Lie Algebras and Finite Groups
October 1997 Summerschool Representation Theory, Willebadessen, Germany
Support Varieties and Centralizers
October 1997 Summerschool Representation Theory, Willebadessen, Germany
Support Varieties for Modules of Restricted Lie Algebras
April 1997 Colloquium, Utah State University, Logan, Utah
April 1997 Mini-Symposium on Lie Theory, Matrix Theory and Combinatorics, Annual Meeting of the Intermountain Section of the Mathematical Association of America, Utah State University, Logan, Utah
Group Actions on Polynomial Algebras
September 1996 Workshop on Enveloping Algebras, Quantum Groups and Representation Theory, Bielefeld University, Germany
Variations on a Theorem of Burnside
August 1996 VIII. International Conference on Representation of Algebras, Geiranger, Norway
Tensor Powers and Projective Modules for Hopf Algebras
July 1996 International Ring Theory Conference, Miskolc, Hungary
Residual Nilpotency for Hopf Algebras
May 1996 Lie Algebra Conference, The Ohio State University, Columbus, Ohio
Burnside's Theorem for Restricted Lie Algebras
April 1996 Special Session on Representations of Finite Groups, Algebraic Groups, and Lie Algebras, 1996 Spring Southeastern Section AMS Meeting, Louisiana State University, Baton Rouge, Louisiana
The Principal Block of a Restricted Lie Algebra
April 1996 Colloquium, Florida Atlantic University, Boca Raton, Florida
March 1996 Weekend Algebra Conference, Texas A & M University, College Station, Texas
Existence of Triangular Lie Bialgebra Structures
March 1996 Colloquium, The University of Alabama, Tuscaloosa, Alabama
September 1995 Annual Meeting of the German Mathematical Society, Ulm University, Germany
On the Blocks of Supersolvable Restricted Lie Algebras
July 1995 Workshop on Quantum Groups and Lie Algebras, Ludwig-Maximilians University Munich, Germany
Blocks of Supersolvable Restricted Lie Algebras
July 1995 Algebra Seminar, Ludwig-Maximilians University Munich, Germany
Block Stability and Projective Modules for Finite Quantum Groups
June 1995 International Conference on Special Functions, q-Series and Related Topics, Fields Institute, Toronto, Canada
Representation Theory of Quantum Groups at a Root of Unity
May 1995 Quantum Group Seminar, The Ohio State University, Columbus, Ohio
Simple Representations of the Quantized Universal Enveloping Algebra of the Split Three-Dimensional Simple Lie Algebra
May 1995 Colloquium, University of South Alabama, Mobile, Alabama
Complexity and Support Varieties of Restricted Lie Algebras
May 1995 Colloquium, University of New Orleans, New Orleans, Louisiana
April 1995 Weekend Algebra Conference, University of Southern Mississippi, Hattiesburg, Mississippi
The Module Type of Finite Quantum Groups
March 1995 Special Session on Lie Theory, 1995 Central Section AMS Meeting, DePaul University, Chicago, Illinois
Block Stability and Projective Modules for Reduced Enveloping Algebras
February - April 1995 Algebra Seminar, The University of Alabama, Tuscaloosa, Alabama
Quivers and Varieties in Representation Theory (series of talks)
January 1995 International Symposium on Lie Algebras and Representation Theory, Seoul National University, Seoul, South Korea
Modular Representations of Lie Algebras
December 1994 Mini-Conference on Computational Aspects of Representation Theory, Aachen University of Technology, Germany
On the Classification of Simple Lie Algebras over Fields of Prime Characteristic
September 1994 Summerschool Representation Theory, Pappenheim, Germany
Standard Equivalences and Two-Sided Tilting Complexes
August 1994 VII. International Conference on Representations of Algebras, Cocoyoc, Mexico
Locally Finite Representations for Modular Lie Algebras
June 1994 Canadian Mathematical Society Annual Seminar, Banff International Research Station, Banff, Canada
Tensor Products and Indecomposable Modules for Hopf Algebras
June 1994 Algebra Seminar, University of Alberta, Edmonton, Canada
Representations of Quantum Groups at Roots of Unity
April 1994 Representation Theory Seminar, Bielefeld University, Germany
Tensor Products and Blocks of Reduced Enveloping Algebras
Januar 1994 Colloquium, Siegen University, Germany
The Module Type of Finite Quantum Groups
September 1993 Workshop on Quantum Groups, Hesselberg, Germany
Tilting Modules for Quantum Groups and Applications (two talks)
June 1993 III. International Conference on Non-Associative Algebra and Its Applications, University of Oviedo, Spain
Some Conjectures in the Block Theory of Restricted Lie Algebras
February 1993 Lie Theory Seminar, University of Wisconsin, Madison, Wisconsin
Modular Representation Theory and Finite Quantum Groups
December 1992 Nineteenth Holiday Symposium, New Mexico State University, Las Cruces, New Mexico
Modular Representation Theory and Finite Quantum Groups
November 1992 Algebra Seminar, The Ohio State University, Columbus, Ohio
The Module Type of Restricted Lie Algebras
November 1992 Colloquium, The University of Alabama, Tuscaloosa, Alabama
September 1992 Colloquium, University of Wisconsin, Milwaukee, Wisconsin
Representations of Quantum Groups at Roots of Unity
July 1992 International Conference on Invariants and Representation Theory, UniversitÚ Pierre et Marie Curie, Paris, France
The Block Structure of Reduced Enveloping Algebras
April 1992 Conference on the Structure and Representation Theory of Lie Algebras in Honor of the 60th Birthday of Professor George B. Seligman, Yale University, New Haven, Connecticut
On the Block Structure of Some Restricted Lie Algebras
March 1992 Colloquium, The University of Alabama, Tuscaloosa, Alabama
February 1992 Algebra Seminar, Northwestern University, Evanston, Illinois
The Blocks of Restricted Lie Algebras
February 1992 Colloquium, University of Wisconsin, Milwaukee, Wisconsin
February 1992 Lie Theory Seminar, University of Wisconsin, Madison, Wisconsin
Homological Topics in the Representation Theory of Restricted Lie Algebras (3 talks)
September 1991 Annual Meeting of the German Mathematical Society, Bielefeld University, Germany
Complexity and the Module Type of Restricted Lie Algebras
August 1991 International Algebra Conference, Barnaul, Russia
Injective Modules over Modular Universal Enveloping Algebras
July 1991 Summerschool Representation Theory, Geseke, Germany
Generalized Morita Equivalence
May 1991 Mathematical Research Institute Oberwolfach, Germany
The Module Type of Some Classes of Algebras
February 1991 Mathematical Research Institute Oberwolfach, Germany
Restricted Lie Algebras with Bounded Cohomology
September 1990 Annual Meeting of the German Mathematical Society, Bremen University, Germany
On the Representation Theory of Modular Lie Algebras