G. Eric Moorhouse:

Handouts

Courses

  1. Abstract Algebra I (MATH 5550), 932 KB.
    Used as a text for our first-semester graduate abstract algebra course. Groups, rings and fields, culminating in the Fundamental Theorem of Galois Theory.
  2. Representation Theory (MATH 5530), 311 KB.
    Ordinary representation theory of finite groups. Notes for one of the units in our graduate-level group theory course.
  3. Dirichlet Series (MATH 4550), 121 KB.
    Proof that there are infinitely many primes of the form 4k+1.
  4. Data Compression (MATH 1305), 125 KB
  5. Entropy (MATH 1305), 393 KB
  6. Error-Correcting Codes (MATH 1305), 419 KB
  7. The [7,4,3] Binary Hamming Code, Systematic Version (MATH 1305), 74 KB
  8. Notes on Tutte Polynomials (MATH 5490/5590), 184 KB.
    Tutte polynomials of matroids, and relationship with weight enumberators of codes
  9. A sheet of qualitative examples comparing entroy (204 KB) of various information sources
  10. Incidence Geometry (MATH 5700), 3.6 MB.
    Corrected version of the text used for our Fall 2007 course.

Exams

  1. Algebra Qualifying Exam, January 2005 (for our graduate students), 92 KB
    With solutions.
  2. December 2005 Putnam Exam with my solutions
  3. December 2006 Putnam Exam with my solutions
    4. (Under Construction)

Seminars

  1. The E8 Root Lattice and Conway's Ovoids, 140 KB
  2. Transfinite Induction, 68 KB.   Notes for UW seminar on Jan 20, 2009

 Under Construction

/ revised January, 2009