James B. Wilson

Department of Mathematics
The Ohio State University
Columbus, OH 43210

556 Math Tower

wilson@math.ohio-state.edu

614-292-5254

Research Intrests

Publication lists

Invited addresses

Conferences/Workshops

Education

Work history

Students: use Carmen

research interests

groups
  • p-groups
  • computational methods for groups
  • isometry groups
  • central, direct, and other decompositions
  • asympototic group theory
  • bilinear maps
  • adjoint *-algebras
  • isometries
  • derivations
  • algebras
  • Jordan algebras
  • nilpotent lie algebras
  • computational algebra
  • central, direct, and other decompositions
  • publications
    Decomposing p-groups via Jordan algebras, J. Algebra 322 (2009) pp. 2642-2679.
    Finding central decompositions of p-groups, J. of Group Theory. (DOI: 10.1515/JGT.2009.015).
    Computing isometry groups of Hermitian maps, with P. A. Brooksbank, submitted for publication.
    Optimal Gram-Schmidt type algorithms, submitted for publication (available on arXiv 0910.0435).
    Finding direct product decomposition of groups, in preparation.
    On the normalizer of intesections of classical groups, with P. A. Brooksbank, in preparation.
    On indecomposable p-groups, in preparation.
    Parallel algorithms for finite rings, technical report.
    Sylow subgroups in solvable matrix groups, with W. M. Kantor and E. M. Luks, in preparation.

    invited addresses

    Individual Addresses

    Decomposing p-groups via Jordan algebras, Mar. 23, 2009, University of California San Diego, 50 minute talk.

    Distinguished Visiting Professor, February 23-27, 2009, Bucknell University.

  • How to find a direct product of groups, 50 minute talk.
  • Decomposition p-groups, 50 minute talk.
  • Using nonassociative rings for bilinear problems in group theory, October 24 2008, IDA-CCR La Jolla.

    Conference Addresses

    Unique decompositions of large unipotent groups, Invited 20 minute talk,
    Workshop on Matrix Group Recogniztion, Edinburgh, July 30, 2009.

    Using nonassociative algebras for p-groups, 20 minute talk,
    AMS Sectional Meeting in Kalamazoo, October 2008.

    Decomposing p-groups of class 2, Invited 20 minute talk,
    Conference on the local and global analysis
    of groups and related object in honor of George Glauberman,
    The University of Chicago, March 2008.

    p-groups and algebras, Invited 30 minute talk,
    Groups and Computations, Ohio State University, March 2008.

    Decomposing p-groups via Jordan algebras, 10 minute talk,
    AMS/ MAA Joint Mathematics Meetings, San Diego, January 2008.

    Enumerating Finite Groups, 50 minute talk,
    University of Oregon, April 2006.

    Computing Sylow subgroups of solvable matrix groups, Invited 90 minute talk,
    University of Auckland, New Zealand, February 2005.

    Symmetries in the Lindisfarne gospels, Invited 30 minute talk,
    Symposium at the Portland Art Museum, May 2002.

    p-adic upper half planes and representation numbers of quadratic forms, 20 minute talk,
    AMS/ MAA Joint Mathematics Meetings, San Diego, January 2002.

    Ganymede: A conversational consumer electronics software interface, with B. Wymore, 3 day booth presentation,
    Intel Developer Forum, Palm Springs, September 1 to 3, 1999.

    Other Addresses

  • Group theory seminar, The Ohio State University.
  • Ring theory seminar, The Ohio State University.
  • Algebraic Algorithms Seminar, University of Oregon.
  • University of Oregon Ring Theory Seminar, University of Oregon.
  • conferences and workshops

    Matrix Group Recognition, St. Andrews, July 27-31, 2009.

    AMS Sectional Meeting in Kalamazoo, October 2008.

    Conference on the local and global analysis of groups and related object in honor of George Glauberman, The University of Chicago, March 25 to 30, 2008.

    Groups and Computation, The Ohio State University, March 16 to 22, 2008.

    AMS/MAA Joint Mathematics Meetings, San Diego, January 6 to 9, 2008.

    Lie Groups, Representations and Discrete Mathematics II, Institute for Advanced Study, Princeton, February 6 to 10, 2006.

    Lie Groups, Representations and Discrete Mathematics I, Institute for Advanced Study, Princeton, November 14 to 18, 2005.

    Geometry: Its interactions with algebra and analysis, University of Auckland, New Zealand, February 15 to 19, 2005.

    Finite Geometries, Groups and Computation\\ Pingree Park, CO, September 4 to 9, 2004.

    AMS/MAA Joint Mathematics Meetings, San Diego, January 6 to 9, 2002.

    Intel Developer Forum, Palm Springs, September 1 to 3, 1999.

    education
    Ph.D. in Mathematics, University of Oregon, Eugene, June 2008.
    Dissertation: Group decompositions, Jordan algebras, and algorithms for $p$-groups,
    Adviser: Professor William M. Kantor.
    Selected Awards: D. K. Harrison award 2008 (department award generously provided by the Harrison Family to reward ``the most outstanding graduate student'').

    M.S. in Mathematics, University of Oregon, Eugene, June 2004.

    B.S. in Mathematics with high honors, Portland State University, Portland, June 2002.

    Selected Awards: Rempfer Scholarship Award 2002 (department award generously provided by the Rempfer Family to ``encourage promising undergraduate mathematics students'').

    work history

    The Ohio State University September 2008 to present,
    Zassenhaus Assistant Professor, Department of Mathematics.

    Institute for Defense Analysis: Center for Communications Research (IDA-CCR La Jolla) June 2009 to August 2009.

    University of Oregon, September 2002 to June 2008
    Graduate Teaching Fellow, Department of Mathematics.

    Trinity University, Summer 2001,
    National Science Foundation Research Experience for Undergraduates in Mathematics.

    Intel Corporation, December 1997 to June 2001,

  • Software Technician, August 1999 to June 2001,
  • Software Development Internship, December 1997 to August 1999,
  • Major projects: Intel Web Tablet, network connectivity, database security, speech and natural language recognition software.
  • lattices
    View a catalog of groups through their subgroup lattices.