Mathematics 5392 I Summer 04 Finite Geometries

Dr. Cordero

General Information:

  • These projects will have both a written and an oral component.
  • The last week of classes (June 28-July 1st) will be reserved for oral presentations, and the paper is due  June 30th at 10:30 a.m.  
  • These projects can be based on interesting problems or applications that were considered in class, but which were not resolved, or they can be on almost any topic (related to the course material) which has captured your interest. Here are some suggestions for applications to:
    • Statistics:
      • Balanced Incomplete Block designs and projective planes
      • Designs
    • Coding Theory:
      • Finite geometries and codes
    • Computer Science:
      • Applications of finite geometries to Computer Science
    • Finite Geometries:
      • Coordinatization
    • Algebra
      • Some classes of semifields
    • Combinatorics
      • Finite projective panes and orthogonal Latin squares
      • The projective plane of order 10
  • All topics must be approved in advance by the instructor and all projects must be completed by the assigned presentation date.
  • Attendance during the project presentations is mandatory for everyone in the class. Each absence during the presentation period will reduce your presentation  grade by 10 points.

Written progress reports are due on the following dates:

DateInformation needed
Tuesday June 8Title (topic),  resources, literature
Monday June 14Research to date; idea for presentation
Monday June 21Draft of paper and sketch of presentation
June 28-June 30thPresentations and paper due