Invited Talks^*

1. On vector spaces of generating series for multiple zetas, Québec-Maine Number Theory Conference, Université Laval, Québec, September 27-28, 2014. [PDF]
2. On q-analogs of multiple zeta values, RAMANUJAN 125 conference to commemorate the 125th anniversary of Ramanujan's birth, University of Florida, Gainesville, November 5-7, 2012. [PDF]
3. A q-analog of Euler's reduction formula for the double zeta function, Québec-Maine Number Theory Conference, Université Laval, Québec, September 29-30, 2012. [PDF]
4. A q-analog of Euler's reduction formula for the double zeta function, Workshop on Computational and Analytical Mathematics in honour of Jonathan Borwein's 60th Birthday, IRMACS Center, Simon Fraser University, May 16-20, 2011. [PDF]
5. A brief q-survey from Abel to Zagier, Québec-Maine Number Theory Conference, Université Laval, Québec, October 2-3, 2010. [PDF]
6. Multiple Mordell-Tornheim series and q-analogs, Québec-Maine Number Theory Conference, Université Laval, Québec, October 4-5, 2008. [PS] [PDF]
7. On a functional relation for Tornheim's double series, reducing higher depth Mordell-Tornheim sums, and q-analogs, Experimental Mathematics Workshop, Department of Mathematics, Tulane University, New Orleans, Louisiana, March 7-8, 2008. [PDF]
8. Hypergeometric functions that generate series acceleration formulae for values of the Riemann zeta function, Special Session on Experimental Mathematics in Action, Joint Meeting of the American Mathematical Society and the Mathematical Association of America, New Orleans, Louisiana, January 5-8, 2007.
9. q-analogues, Colloquium, Department of Mathematics, Tulane University, New Orleans, Louisiana, October 12, 2006. [PDF]
10. Some series acceleration formulas for values of the Riemann zeta function, Québec-Maine Number Theory Conference, Université Laval, Québec, September 30--October 1, 2006.
11. Hypergeometric functions that generate series acceleration formulae for values of the Riemann zeta function, International Congress of Mathematicians,Madrid, Spain, August 24, 2006. [PDF] [Abstract]
12. An L-function extension of Ramanujan's formula for the Riemann zeta function with an entire parameter, American Mathematical Society Spring Central Section Meeting, Special Session on Special Functions and Orthogonal Polynomials, Notre Dame, Indiana, April 8-9, 2006. [Photos of Participants] [More Photos]
13. On q-analogs of multiple zeta values and other multiple harmonic series, Conference on Additive Number Theory, University of Florida, Gainesville, November 17-20, 2004. [PDF] [Abstract]
14. On q-analogs of multiple zeta values and other multiple harmonic series, Québec-Maine Number Theory Conference, Université Laval, Québec, October 2-3, 2004. [PDF]
15. On q-analogs of multiple zeta values and other multiple harmonic series, Workshop on Analytic and Computational Number Theory, Dalhousie University, August 23 - 27, 2004. [PDF]
16. On q-analogs of multiple zeta values and other multiple harmonic series, Colloquium, U.S. Naval Academy, Annapolis, Maryland, August 12, 2004. [PDF]
17. Eigenspaces of a differential operator, Maine/Québec Number Theory Conference, University of Maine, Orono, Maine, October 4--5, 2003.
18. Multiple polylogarithms and multiple zeta values: some results and conjectures, keynote address, International Symposium on Zeta Functions, Topology and Quantum Physics, Kinki University, Osaka, Japan, March 3 - 6, 2003. [PDF]
19. On multiple zeta functions, Séminaire de Théorie des nombres, Université Laval, Québec, Canada, February 6, 2003.
20. A pair of difference differential equations, Québec-Maine Number Theory Conference, Université Laval, Québec, Canada, October 12, 2002.
21. Shuffles and multiple zeta values, Number Theory Session, Summer Meeting of the Canadian Mathematical Society, Université Laval, Québec, Canada, June 15-17, 2002.
22. Multiple polylogarithms and multiple zeta values -- a survey, Plenary Lecture, 2002 Illinois Number Theory Conference, University of Illinois at Urbana-Champaign, May 17-18, 2002.
23. Lambert's W-function, Department of Mathematics and Statistics, University of Maine, Orono, Maine, October 25, 2001.
24. Research update on multiple polylogarithms, Centre for Experimental and Constructive Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada, July 2001.
25. Multiple polylogarithms, Special Session on Number Theory, Joint Meeting of the American Mathematical Society and the Sociedad Matematica Mexicana, Morelia, Michoacán, México, May 25, 2001.
26. Multiple polylogarithms: a brief survey, Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada, February 1, 2001.
27. Series evaluations via identities/transformation formulae for special functions, Special Session on Integrals and Series Throughout Mathematics, Joint Mathematics Meetings of the American Mathematical Society, New Orleans, Louisiana, January 10-13, 2001. Abstract

28. New results and conjectures for multiple polylogarithms, Conference on q-series with Applications to Combinatorics, Number Theory, and Physics, University of Illinois at Urbana-Champaign, October 26-28, 2000.
29. Hypergeometric series and multiple polylogarithms, Algebra and Number Theory Seminar, Department of Mathematics, The Pennsylvania State University, State College, Pennsylvania, April 6, 2000. Host: Ken Ono.  Abstract.

30. Hypergeometric functions and multiple zeta values, Number Theory Seminar, Department of Mathematics, University of Illinois at Urbana-Champaign, January 20, 2000. Host: Douglas Bowman.

31. Resolution of some open problems concerning multiple zeta evaluations of arbitrary depth, Conference on Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics, University of Florida, Gainesville, November 11-13, 1999. Abstract.

32. Resolution of some open problems concerning multiple polylogarithm evaluations of arbitrary depth, second annual Québec-Maine Number Theory Conference, University of Maine, Orono, Maine October 11, 1999.

33. Nested sums and iterated integrals, Session on the Interaction of Physics, Number Theory and Computer Algebra, IMACS-ACA (International Association for Computers in Simulation Conference on Applications of Computer Algebra), El Escorial, Madrid, Spain, June 26, 1999.

34. The algebra, analysis and combinatorics of multidimensional polylogarithms, Special Number Theory/Analysis Seminar, Department of Mathematics, University of Illinois at Urbana-Champaign, March 24, 1999. Abstract.

35. Nested series and iterated integrals, Special Session in Elementary and Analytic Number Theory, American Mathematical Society Central Section Meeting, Urbana, Illinois, March 18-21, 1999. Abstract published in "Abstracts of Papers Presented to the American Mathematical Society," Vol. 20, Number 2, 1999 Issue 116, p. 315 #941-11-101.

36. Multiple zeta values, CICMA¹ Québec-Maine Number Theory Conference, Université Laval, Québec,Canada, October 10-11, 1998.

37. Special values of multidimensional polylogarithms, ALGO Lab, INRIA - Institut National de Recherche en Informatique et en Automatique, Domaine de Voluceau, Rocquencourt B.P. 105, 78153 Le Chesnay Cedex, France, July 6-10, 1998. Summary

38. Euler-Cauchy type differential difference equations, Department of Mathematics and Statistics, University of Maine, Orono, Maine, November 13, 1997. Abstract.

39. Multidimensional polylogarithms, Department of Mathematics and Statistics, University of Maine,Orono, Maine, November 11, 1997. Abstract.

40. New evaluations of the zeta function and its generalizations, International "Topics in Number Theory" Conference, The Pennsylvania State University, State College, Pennsylvania July 1, 1997.

41. New formulas and evaluations for generalized hypergeometric/zeta functions, Department of Mathematics and Statistics, University of Maine, Orono, Maine, June 13, 1997.

42. Experimental mathematics via inverse symbolic computation, Department of Mathematics and Statistics, University of Maine, Orono, Maine, June 12, 1997. Abstract.

43. Evaluating multi-dimensional polylogarithmic sums, Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, Canada, June 3, 1997. Abstract.

44. Apéry-like formulae for ζ(4n+3), Workshop on Experimental Mathematics and Combinatorics, Centre de Recherches Mathématiques, Université de Montréal, Montréal, Québec, May, 1997. Abstract.

45. Strange hypergeometric series evaluations, zeta function formulae, and computer assisted discovery, Department of Mathematics and Computer Science, Kent State University, Kent, Ohio, March 7, 1997. Abstract.
46. Euler sums: some results and conjectures, Simon Fraser University, Burnaby, British Columbia, March 1997.
47. Apéry-like formulae for ζ(4n+3), Fifth Conference of the Canadian Number Theory Association, Carleton University, Ottawa, Ontario, Canada, August 1996.
48. A sieve auxiliary function, International conference on analytic number theory held in honor of Heini Halberstam, Robert Allerton Park Conference Centre, Monticello, Illinois, May 17, 1995. [DVI] [PS] [PDF] [Abstract].

49. Ramanujan's formula for the logarithmic derivative of the gamma function, UIUC Chapter of Sigma Xi - the Scientific Research Society, April 20, 1995. [DVI] [PS] [PDF] [Abstract].

50. Some representations of a sieve auxiliary function, Western Number Theory Conference, University of California - San Diego, San Diego, California, December 1994.
51. Ramanujan's formula for the logarithmic derivative of the gamma function, Fourth Conference of the Canadian Number Theory Association, Dalhousie University, Halifax, Nova Scotia, July 3, 1994. [DVI] [PS] [PDF]
52. On the analytic continuation of the Riemann zeta function, Illinois Number Theory Conference, University of Illinois at Urbana-Champaign, April 8, 1994.
53. On a claim of Ramanujan about certain hypergeometric series, UIUC Chapter of Sigma Xi - the Scientific Research Society, April, 1993. [DVI] [PS] [PDF] [Abstract].

¹ Centre Interuniversitaire en Calcul Mathématique Algébrique