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Teaching

• Spring 2012: Math 242 -- Calculus II (Prof: Guentner)

Previous Semesters (my courses)

• Summer 2011: Math 371 -- Probability (Prof: me)
• Summer 2009: Math 215 -- Applied Calculus I (Prof: me)
• Summer 2010: Math 100 (Prof: me)

Previous Semesters (courses for which I was T.A.)

• Fall 2011: Math 242 -- Calculus II (Profs: Watanabe, Zelenyuk)
• Spring 2011: Math 242 -- Calculus II (Prof: Ramsey)
• Fall 2010: Math 242 -- Calculus II (Prof: Ramsey)
• Spring 2010: Math 242 -- Calculus II (Prof: Guerzhoy)
• Fall 2009: Math 241 -- Calculus I (Prof: Lampe); Math 242 -- Calculus II (Prof: Dovermann)
• Spring 2009: Math 242 -- Calculus II (Prof: Broadhead and Ortel)
• Fall 2008: Math 241 -- Calculus I (Prof: Hoover)
• Note to TA's: If you're looking for some example 241 computer lab assignments, try the Fall 2009 link above (Prof. Lampe's class).

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Research

Please visit my main research page where I keep papers and notes related to my most recent work.

Universal Algebra & Lattice Theory

• Ralph Freese (my ph.d. advisor) has a nice universal algebra page; note in particular the universal algebra calculator.
• Keith Kearnes has a nice universal algebra and lattice theory page; note in particular the list of conferences in general algebra.
• Algebra Universalis is the primary scholarly journal in this area.
• DML-CZ (Czech Digital Mathematics Library) has many articles in universal algebra and lattice theory.
• There is a Yahoo! group in universal algebra.

Group Theory

• ProblemsInGroupsAndRings.pdf contains some problems that appeared on ph.d. comprehensive exams in group theory and ring theory at University of Hawaii.
  Some solutions are available from my ph.d. exams page.
• 611_07_G-sets.pdf Professor Lampe's excellent notes on G-sets.
• GSetsExercises.pdf elaborates on Lampe's notes, with proofs of theorems and solutions to exercises.
• GAP is a powerful computer program for working with groups, rings, fields and other algebras.
  • GapNotes.pdf my own notes on using GAP (excerpts from GAP manuals, supplemented by notes, examples, and experiments of my own).
  • The GAP documentation is pretty good, especially the GAP Reference Manual and XGAP Manual.
  • XGAP is a useful add-on package which can draw nice Hasse diagrams of subgroup lattices.
  • AtlasRep is a GAP package which provides an interface to the ATLAS of Finite Group Representations.
• Groupprops, the Group Properties Wiki, contains helpful info about groups; e.g. GAP examples of direct products.
• math.GR is the group theory section of arXiv.org

Harmonic Analysis & DSP Applications

Publications

1. Topics in Nonabelian Harmonic Analysis and DSP Applications Proc. International Symposium on Musical Acoustics (ISMA) Nara, Japan (2004).
2. Characterizing Musical Signals with Wigner-Ville Interferences Proc. International Computer Music Conference (ICMC) Goteborg, Sweden (2002).
3. Using the Lanczos Algorithm to Approximate Eigenvalues of Large Stochastic Matrices, Proc. 8th Copper Mt. Conference on Iterative Methods (1998).

References: A couple of papers I cited in the article "Characterizing Musical Signals..." (above) are

• Mallat and Zhang, "Matching Pursuit with Time-Frequency Dictionaries", Tech. Rep. (1993).
• Gribonval, et. al. "Sound Signals Decomposition Using a High Resolution Matching Pursuit" ICMC (1996).