For an illustration related to this paper, see my graphics
gallery page.
An abstract for a talk based
on this paper appears in Abstracts of Short Communications and
Poster Sessions, International Congress of Mathematicians, Beijing
2002 (Higher Education Press, Beijing, 2002).
There is also a significantly longer, unpublished version of
this paper, with several different proofs of the main result, more
pictures, and a longer list of references: see Ellipses in the
inversive plane, listed under Lecture Notes (below).
For
related images, see the link on the "hippopede of Proclus" on
my graphics
gallery page.
An abstract for
a talk
based on this paper appears in
the Spring
2003 Newsletter of the Indiana Section of the MAA.
A. Coffman, Enumeration and Normal Forms of Singularities
in Cauchy-Riemann Structures, Ph.D. dissertation, University of
Chicago. Defended June 9, 1997.
Chapter IV, condensed into: Complexification of the CR
cross-cap, see my Lecture Notes (below), and also Example 8.5
in my ...real Veronese varieties paper (above).
A. Coffman, A Classification of Quadratically Parametrized
Maps of the Real Projective Plane, B.S. Honors Thesis,
University of Michigan, Ann Arbor, 1991.
These are notes on fairly well-known topics, but I have found it
convenient to collect some related results in one place, with
consistent notation and elementary proofs.
Notes on abstract linear algebra. Two parts planned,
Part 1 (Chapters 1-4) completed, Part 2 (starting with Chapter 5) in
progress, iv+176 pages. Updated April 21, 2017.
These are compiled from my classroom handouts, for IPFW courses since
1997.
A Pi Day handout, for March 14. Distributed in Calculus
II and also at
a Pi
Day demonstration at a local children's science museum. 4
pages. Updated March
2007.
Notes on first semester calculus, for MA 165: Calculus
I. 29 pages. Updated March 26, 2016.
Notes on sequences and series in the calculus of one
variable, for MA 166: Calculus II. 17 pages.
Updated July 20, 2007.
Notes on elementary linear algebra, for MA 351:
Elementary Linear Algebra, MA 511: Linear Algebra and Applications,
and MA 554: Linear Algebra. 35 pages. Updated Nov. 3, 2013.
Notes on abstract algebra, for MA 453: Algebra I and MA
553: Introduction to Abstract Algebra. 19 pages. Updated Dec. 15,
2013.
I have also prepared a "teacher's edition," with solutions to
selected problems.
Notes on axiomatic geometry, for MA 560: Fundamental
Concepts of Geometry. 37 pages. Updated August 8, 2001.
I have also prepared a "teacher's edition," with solutions to
selected problems, and sample quiz and test questions.
Notes for the Physics-Based Calculus workshop, for a
Continuing Studies Summer Workshop for Teachers, on incorporating
Fourier analysis in a calculus curriculum. 10 pages, no pictures.
Updated June 9, 2004.
Lecture Notes
These notes are based on talks I've given about
my research. See also my Grants and
Talks page for a list of talks I've given.
An example for Green's Theorem with discontinuous partial
derivatives, joint work with Y. Zhang, related to our joint paper with Y. Pan.
I presented this talk in the General Contributed Paper
Session in Analysis at the August 2015
MAA MathFest in
Washington, DC, and again at the Fall 2015 Indiana MAA meeting.
Slides:
Glaeser's inequality on an interval, joint work with
Y. Pan. The following document is a longer, illustrated
version of our published article with the same title (listed
above), related to talks given at MAA meetings in Indiana, Kentucky,
and the 2010 MathFest.
8 pages with 3 figures:
I gave a talk, CR singularities and their unfoldings,
at the conference on Rigidity in Dynamics and
Geometry, at CIRM
in Luminy, near Marseille, France, May 21-25, 2007.
Slides:
Ellipses in the inversive plane, joint work with
M. Frantz: a shorter article on the same topic appeared in 2007
(listed above). These notes are related to a talk at the Spring
2003 MAA Indiana Section meeting, an Oct. 2001 talk at the Midwest
SCV conference at the University of Michigan, and a few later
talks.
Complexification of the CR cross-cap, based on my
dissertation and a Dec. 1997 talk in the Several
Complex Variables Seminar, University of Michigan. 8 pages.
Updated Dec. 30, 1998.
Invariants for pairs of almost complex structures, based
on a Feb. 1996 talk in the Geometry
and Topology Seminar, University of Chicago. 20 pages. Updated
May 20, 1997.
Some of my digital photos taken on the IPFW campus were selected
to appear in the Sunday Snapshots feature on
the WANE-TV news, March 14, 2004.
They showed
both this
flower picture
and this
hawk picture.
I occasionally contribute solutions to problems, letters to the
editor, photos, and referee reports to
the MAA
journals.
Links from JSTOR: Solutions from Problem Sections: