Peter M. Garfield

Department of Mathematics
Harvard University
One Oxford St
Cambridge, MA 02138

Preceptor in Mathematics
Science Center 422
(617) 495-4744
garfield@math.harvard.edu

Teaching Mathematics

Current Courses (Fall, 2009)

Harvard University

• Math 1a: Introduction to Calculus
• Math 1b: Calculus, Series, and Differential Equations

Past Courses

Harvard University

• Math 1a: Introduction to Calculus, Fall 2009
• Math 1b: Calculus, Series, and Differential Equations, Fall 2009
• Math 21a: Multivariable Calculus
  • Fall 2008: course page (archived) and a page for my section (archived without PDF files)
  • Spring 2009 (archived)
• Math S-1ab: Calculus I & II
  • Summer, 2008
  • Summer, 2009

Case Western Reserve University

• Math 125: Mathematics I
  • Fall 2007
  • Fall 2006
  • Fall 2005
  • Spring 2005
• Math 126: Mathematics II
  • Spring 2008
  • Spring 2007
  • Spring 2006
  • Fall 2004
• Math 150: Math from a Mathematician's Perspective, Spring 2008
• Math 201: Introduction to Linear Algebra
  • Summer 2006
  • Summer 2005
• Math 224: Elementary Differential Equations
  • Summer 2007
  • Summer 2006

University of Toronto

• Math 344: Introduction To Combinatorics, Winter 2004
• SOAR Course: The Shape Of Things, Winter 2003-2004
• Math 187: Calculus II For Engineers, Spring 2003
• SOAR Course: All About Numbers, Spring 2003
• SOAR Course: Symmetry: An Introduction To Group Theory, Winter 2002

University of Washington [links no longer working]

• Math 111: Business Precalculus
  • Winter Quarter 2002
  • Summer Quarter 2001
  • Winter Quarter 2001
  • Autumn Quarter 2000
  • Summer Quarter 1999
• Math 112: Business Calculus, Spring Quarter 1996
• Math 120: Precalculus, A Problem-Solving Approach
  • Spring Quarter 2002
  • Winter Quarter 2002
  • Autumn Quarter 2001
  • Summer Quarter 1997
  • Autumn Quarter 1996
• Math 126A: Calculus With Analytic Geometry III, Spring Quarter 2001
• Math 307: Differential Equations
  • Summer Quarter 1998
  • Spring Quarter 1998
• Math 308: Linear Algebra, Summer Quarter 2000
• Math 324: Advanced Multivariable Calculus I, Spring Quarter 1997

Mathematics Research

Papers and Preprints

Links to on-line versions of papers have been provided when they are available, as have Mathematical Reviews from MathSciNet. I can provide copies of these papers on request.

• Hamiltonian mechanics over deformations of ordinary double points (with Takao Akahori), Journal of Mathematical Analysis and Applications 333 (2007), no. 1, 24–41. [MR2323474], [Zbl pre05167500]
• Deformation theory of five-dimensional CR structures and the Rumin complex (with Takao Akahori and John M. Lee), Michigan Mathematical Journal 50 (2002), no. 3, 517–550. [MR 2003i:32022], [Zbl pre01943235]
• The Bigraded Rumin Complex, doctoral dissertation, University of Washington, December, 2001. (Abstract and download)
• The Rumin complex on CR manifolds (with John M. Lee), in CR geometry and isolated singularities (Japanese) (Kyoto, 1996). Surikaisekikenkyusho Kokyuroku No. 1037 (1998), 29–36. [MR 2000a:32078], [Zbl 0946.32020]

About Me

I am a Preceptor in the Harvard University  Department of Mathematics. I was previously a visiting assistant professor at Case Western Reserve University, a postdoctoral fellow at the University of Toronto and a graduate student at the University of Washington (in Seattle).