Brett Stevens - Research page

Updated Fall 2004.


Curriculum vitae, statements of research and teaching


I work primarily in Combinatorics and Combinatorial Optimization, but am also active in Mathematical Biology. My main combinatorial work is in graph theory, specifically design and coding theory and Gray code realizations. I am interested in industrial optimization, scheduling and software testing problems. My research in biology is the problem of the evolution of amphimixis and also demography.

Papers in refereed journals

Papers submitted to refereed journals

Extended abstracts in refereed conferences


Technical reports

Other publications


I did my undergraduate studies at the Mathematics Department of the University of Chicago, in Chicago, and at University College London, University of London, London, England, During the Summers and other breaks I was a Research Participant working with Teng Lek Khoo in the Heavy Ion Group in the Physics Division at Argonne National Laboratory.

After university I was participant of the American Nuclear Society exchange program. I spent the summer at Électricité de France, in Clamart, France, working with the reactor simulation group to accurately understand the impact of non-uniform concentrations of boron in a pressurized water reactor.

My master's degree was done under the supervision of David Houle (Department of Zoology) at the Department of Mathematics, University of Toronto, Toronto, Canada.

My PhD degree was obtained at the Department of Mathematics of the University of Toronto. My supervisor was Eric Mendelsohn.

After my Ph.D. was completed, I held several postdoctoral fellowships at Simon Fraser University. The first was a PIMS Postdoctoral Fellowship in the Department of Mathematics and Statistics, with Kathy Heinrich, Brian Alspach and Pavol Hell. Since August 1999, I have held the IBM/SFU Postdoctoral Fellowship. This fellowship has many affiliations: The Pacific Institute for the Mathematical Sciences, Mathematics of Information Technology and Complex Systems, The School of Computing Science, The Department of Mathematics and the Mathematical Sciences Department at IBM T.J. Watson Research. I worked with Pavol Hell, Lou Hafer and Baruch Schieber.

In July of 2001 I joined the Faculty of the School of Mathematics and Statistics at Carleton University in Ottawa as assistant professor. We have an active combinatorics research group and seminar, including, but not limited to, Francesco Barioli, Sylvia Boyd, Jason Gao, Lucia Moura, Daniel Panario, Irwin Pressman, Mateja Sajna, Steven Wang, Valerie Watts, Alan Williams.

Teaching activities

I have taught a variety of courses of differing levels and audiences at Carleton University. I also have teaching eperience elswhere. My statement of teaching also discusses some of my ideas about teaching.

Scientific activities


Current Students

  • Jordan Bell, NSERC Summer research student.
  • Megan Dewar, Ph.D.
  • Jason Lau, M.Sc.
  • Chris Lewis, M.Sc. (co-supervision with V. Watts)
  • Jason Lobb, M.Sc. (co-supervision with P. Danziger)
  • Karen Meagher, Ph.D. (co-supervision with L. Moura)
  • Shai Mor, M.Sc. (co-supervision with V. Linek)
  • Dominique Roy, M.Sc.
  • Kendra Seu, M.Sc.

    Past Students

    • John Stardom, M.Sc., Jun. 2001 (co-supervision with L. Goddyn). Metaheuristics and the Search for Covering and Packing Arrays.
    • Kendra Seu. Honours Project, Dec. 2001, Rijndael, The Advanced Encryption Standard.
    • C. Joshi. Honours Project, Dec. 2002, Shortest Path Algorithms and Traffic Routing.
    • Q. Kahder. Honours Project, May 2004, Vector Operator Constructions for Covering Arrays.
    • A. Thirusittampalam, May 2004, Dunton Tower Elevators: From chaos to calm.
    • J. Li. Third Year Project, May 2004, Fair Division and Ontario Divorce Procedure.
    • K. Casteels, M.Sc., May 2004, Universal Cycles for (n-1)-Partitions of an n-Set.

    Conferences Organized

    Media Appearences

    I was a Judge at the 2003 World Rubik's Cube Championships. This event and my using the Rubik's Cube in my Algebra class appeared on CBC Televisions It's A Living on 5 Dec. 2003. In the Spring of 2004 I did a six part series on Ottawa's CBC Radio One's All in a Day called Math Radio. Both these experiences were lots of fun and I hope that they excitied people about mathematics in new ways!


    • CFI/OIT New Oportunities Infrastructure Grant (with D. Amundsen and M. Salibián-Barrera).
    • NSERC Discovery Grant, 2002-2006.
    • IBM/SFU postdoctoral fellowship, Dpt. of Mathematics, School of Computing Science, IBM T.J. Watson Research, from September 1999 to the present.
    • PIMS postdoctoral Fellowship Dpt of Mathematics, School of Computing Science, from September 1998 to August 2000.
    • John Robert Gilkinson Smyth Mathematics Scholarship, Mathematics Department, University of Toronto, from September 1997 to August 1998.
    • University of Toronto Open Fellowship, Mathematics Department, University of Toronto, from September 1997 to August 1998.
    • University of Toronto International Student Award, Mathematics Department, University of Toronto, from September 1994 to August 1998
    • National Science Foundation Graduate Fellow, Mathematics Department, University of Toronto, from August 1994 to July 1997.
    • University of Toronto Connaught Scholarship, Mathematics Department, University of Toronto, from September 1993 to August 1994.
    • American Nuclear Society Research Exchange, Électricité de France, Clamart, France, Summer 1992.
    • University of Chicago/Argonne National Laboratory Full Tuition Merit Scholarship, from September 1988 to June 1992.
    • National Merit Scholar, University of Chicago from September 1988 to June 1992.
    • Research Participant at Argonne National Laboratory, From June 1988 to December 1989.
    • Member, Phi Beta Kappa from June 1992 to the present.
    • Member, Sigma Xi from June 1992 to the present.


    School of Mathematics and Statistics
    Carleton University
    1125 Colonel By Dr.
    Ottawa ON K1S 5B6

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