| 01/29/99: | "The Odd Covering Problem and Its Relatives, Part I" [ps] [pdf] |
| 02/05/99: | "The Odd Covering Problem and Its Relatives, Part II" [ps] [pdf] |
| 02/12/99: | "The Odd Covering Problem and Its Relatives, Part III" [ps] [pdf] |
| 02/19/99: | "The Odd Covering Problem and Its Relatives, Part IV" [ps] [pdf] |
| 03/20/99: | "On an Irreducibility Theorem of A. Schinzel Associated with Coverings of the Integers" (joint work with Kevin Ford and Sergei Konyagin), invited lecture at the AMS Sectional Meeting in Urbana-Champaign, Illinois, slides: [ps] [pdf] |
| 04/10/99: | "On a Problem of Turan," invited lecture at the AMS Sectional Meeting in Las Vegas, Nevada, slides: [ps] [pdf] |
| 04/17/99: | "From covering problems to a conjecture of Turan," South East Regional Meeting On Numbers, Columbia, SC, slides: [ps] [pdf] |
| 04/28/99: | "The Four Color Problem," Career Day at Dutch Fork Elementary School (for fourth graders), notes: [ps] [pdf], worksheets: [ps] [pdf] |
| 05/18/99: | "On k-free values of irreducible polynomials," (Working Seminar) [ps] [pdf] |
| 06/09/99: | "On k-free values of irreducible polynomials II," (Working Seminar) [ps] [pdf] |
| 09/13/99: | "A distribution problem for powerfree values of irreducible polynomials," (joint work with Brian Beasley) [ps] [pdf] |
| 09/20/99: | "A distribution problem for powerfree values of irreducible polynomials, II" (joint work with Brian Beasley) [ps] [pdf] |
| 09/27/99: | "A distribution problem for powerfree values of irreducible polynomials, III" (joint work with Brian Beasley) [ps] [pdf] |
| 10/04/99: | "A distribution problem for powerfree values of irreducible polynomials, IV" (joint work with Brian Beasley) [ps] [pdf] |
| 12/16/99: | "Some polynomial factoring problems from past West Coast Number Theory Conferences," West Coast Number Theory Conference, Asilomar, CA, slides: [ps] [pdf] |
| 03/17/00: | "A Messy Covering of the Integers, Part I" |
| 03/24/00: | "A Messy Covering of the Integers, Part II" |
| 03/24/00: | "A Messy Covering of the Integers, Part III" |
| 04/23/00: | "On coverings of the integers associated with an irreducibility theorem of A. Schinzel," Millennial Conference on Number Theory, Urbana, IL, paper [pdf] |
| 10/26/00: | "On the factorization of lacunary polynomials," University of Georgia (seminar) |
| 11/09/00: | "On the factorization of lacunary polynomials" (seminar) |
| 11/13/00: | "On the factorization of lacunary polynomials," University of Michigan (seminar), slides [pdf] |
| 03/09/01: | "Reducible Polynomials in Support of Cheap Mathematics" (seminar) |
| 03/24/01: | "Examples of reducible polynomials" South East Regional Meeting On Numbers, Furman University, SC, slides: [pdf] |
| 05/24/01: | "Irreducibility of Classical Polynomials and Their Generalizations," Joint Meeting of the AMS and SMM, Morelia, Mexico, slides: [pdf] |
| 10/29/01: | "On Nicol's sequence of reducible polynomials," notes: [pdf] |
| 11/05/01: | "Some properties of $0,1$-polynomials," notes: [pdf] |
| 11/12/01: | "The irreducibility of classical polynomials and their generalizations," (seminar) |
| 11/16/01: | "The irreducibility of classical polynomials and their generalizations," Clemson University, slides [pdf] |
| 11/29/01: | "The irreducibility of classical polynomials and their generalizations," University of Arizona (colloquium), slides [pdf] |
| 11/30/01: | "Some proofs associated with irreducibility theorems," University of Arizona (seminar), notes: [pdf] |
| 01/19/02: | Presentation to Teachers of Solutions to USC Mathematics Competition, slides (200 pages): [pdf] |
| 02/13/02: | "A comment on a third irreducibility theorem of I. Schur," notes: [pdf] |
| 02/20/02: | "On the factorization of x^2 + x" (seminar) |
| 02/27/02: | "On the factorization of x^2 + x, Part II" (seminar) |
| 03/06/02: | "On the non-factorization of x^2 + 7" (seminar) |
| 03/09/02: | "On the factorization of n(n+1)," AMS Regional Meeting in Atlanta [pdf] |
| 03/16/02: | "On the factorization of x^2 + x and x^2+7," SERMON at Clemson [pdf] |
| 03/23/02: | "Technology in the Mathematics Classroom," for Scholarship Day at USC |
| 04/18/02: | "Applications of Pade Approximations of (1-z)^k to Number Theory," seminar at Penn State [pdf] |
| 06/17-28/02: | Series of Lectures for a Mathematical Sciences Research Institute Graduate Program, organized by P. Borwein and M. Filaseta, lectures |
| 10/18/02: | "Primality Testing in Polynomial Time," Colloquium for the Department of Computer Science and Engineering at USC [pdf] |
| 10/24/02: | "Primality Testing in Polynomial Time," seminar [pdf] |
| 12/18/02: | "On the factorization of x^2 + x and the non-factorization of x^2 + 7," West Coast Number Theory Conference at San Francisco State University, [pdf] |
| 02/01/03: | Presentation to Teachers of Solutions to USC Mathematics Competition, computer presentation (1.8 megabytes): [pdf] |
| 03/27/03: | "On the factorization of f(x) x^n + g(x)," seminar (see next talk) |
| 03/29/03: | "On the factorization of f(x) x^n + g(x)," South East Regional Meeting On Numbers, University of North Carolina at Greensboro, computer presentation: [pdf] |
| 06/03/03: | "Applications of Pade Approximations of (1-z)^k to Number Theory," Clemson University, REU Talk, computer presentation: [pdf] |
| 02/07/04: | Presentation to Teachers of Solutions to USC Mathematics Competition, (8.8 megabyte interactive quicktime movie file; click to advance presentation): [mov] | |
| 04/17/04: | A generalization of a third irreducibility theorem of I. Schur, South East Regional Meeting On Numbers; (3.8 megabyte interactive quicktime movie file; click to advance presentation): [mov] | |
| 09/07/04: | Some remarkable polynomials, (seminar) abstract, clickable movie (6.7 megabytes), pdf (1.3 megabytes) | |
| 09/14/04: | On the irreducibility of a truncated binomial expansion, (seminar) abstract, Newton polygon overview (clickable movie), notes | |
| 09/21/04: | On the irreducibility of a truncated binomial expansion, Part II, (seminar, see previous links) | |
| 10/08/04: | Some remarkable polynomials, The 19th Clemson mini-Conference on Discrete Mathematics and Related Fields, abstract, clickable movie (6.7 megabytes), pdf (1.3 megabytes), condensed pdf (2.7 megabytes; it's a bigger file but it's less pages) | |
| 11/21/04: | "Applications of Pade Approximations of (1-z)^k to Number Theory," BIRS Workshop on Diophantine Approximation and Analytic Number Theory [pdf] |
| 01/24/05: | "Coverings and a probable counterexample to a probable conjecture," seminar |
| 02/07/05: | "On rational values of phi(n!)/m! and sigma(n!)/m!, Part I", seminar [pdf] |
| 02/14/05: | "On rational values of phi(n!)/m! and sigma(n!)/m!, Part II", seminar [pdf] |
| 02/28/05: | "On rational values of phi(n!)/m! and sigma(n!)/m!, Part III", seminar [pdf] |
| 04/23/05: | Recent advances in covering problems, The Pacific North West Number Theory Conference 9 pdf (1.15 megabytes); see info for similar talk below |
| 05/20/05: | Recent advances in covering problems, Combinatorial and Additive Number Theory (CANT 2005), in honor of Mel Nathanson, movie file (12.1 megabytes), pdf (1.4 megabytes) |
| 09/09/05: | From an Introduction to Galois Theory 101 to a Problem in Diophantine Analysis, seminar, movie file (8.9 megabytes) |
| 09/16/05: | The factorization of x^2 + x revisited, Part I, seminar, notes |
| 09/23/05: | The factorization of x^2 + x revisited, Part II, seminar, notes |
| 12/20/05: | Different uses of Diophantine analysis in the theory of irreducibility, Diophantine Equations Conference at the Tata Institute of Fundamental Research in Honor of T. N. Shorey's 60th birthday, lecture notes [pdf] (3.3 megabytes); [mov] (quicktime movie, 7.9 megabytes) |
| 02/17/06: | "The irreducibility of x^(2p) - x^p + m^p," seminar notes |
| 02/24/06: | "A Diophantine approach to the irreducibility of x^(2p) - x^p + m^p," seminar in [quicktime] |
| 03/18/06: | "Truncated binomial expansions," in SERMON at Furman, lecture in [quicktime] |
| 04/06/06: | "Irreducibility and coprimality algorithms for sparse polynomials," at the Number Theory and Polynomials Conference, Bristol, England, lecture in [quicktime] |
| 11/29/06: | "Irreducibility and gcd algorithms for sparse polynomials," seminar [notes], [talk in pdf] (5.3 megabytes), [talk in quicktime] (10.7 megabytes) |
| 01/16/07: | Irreducibility and gcd algorithms for sparse polynomials, University of Montreal (Montreal, Quebec, Canada), seminar |
| 01/18/07: | Applications of Pade approximants to number theory, Concordia University (Montreal, Quebec, Canada), seminar |
| 02/21/07: | Applications of Pade approximants to number theory, Part I, seminar |
| 02/28/07: | Applications of Pade approximants to number theory, Part II, seminar |
| 03/04/07: | Some recent applications of covering systems of the integers, AMS Regional Meeting, Davidson College, NC |
| 04/15/07: | Prime divisors of binomial coefficients and the like, AMS Regional Meeting, Hoboken, NJ |
| 05/19/07 : | Irreducibility and gcd algorithms for sparse polynomials, Illinois Number Theory Fest (University of Illinois, Urbana, IL) |
| 09/13/07: | A connection between the factorization of sparse polynomials and an elementary number theoretic problem, seminar |
| 02/28/08: | Diophantine Equations Arising from the Study of Galois Groups I, seminar |
| 03/06/08: | Diophantine Equations Arising from the Study of Galois Groups II, seminar |
| 03/26/08: | Irreducibility and gcd algorithms for sparse polynomials, Texas A&M Number Theory Seminar |
| 04/01/08: | Diophantine equations arising from the study of Galois groups, Colloquium at Kent State University |
| 04/19/08: | Bounding the number of integer points that satisfy at least one of a particular infinite collection of hyperelliptic curves, SERMON, Clemson University |
| 05/03/08: | A Diophantine problem arising from a study in Galois groups, Spring Western AMS Sectional Meeting, Claremont McKenna College, Claremont, CA, Special Session on Diophantine Problems and Discrete Geometry |
| 05/16/08: | Miscellaneous problems on the factorization of 0,1-polynomials, Conference on the Mathematical Interests of Peter Borwein, IRMACS, Simon Fraser University, Vancouver, Canada |
| 09/04/08: | A collection of problems to ponder on polynomials, seminar |
| 09/25/08: | Diophantine equations arising from the study of Galois groups, Hans Heilbronn 100th Birthday Conference, University of Bristol, Brirstol, UK |
| 10/16/08: | The density of squarefree 0,1-polynomials, seminar |