Adam Coffman --- Publications Page

Last update: July 1, 2009.

I will make papers available on this page when they are in a complete form, and post a note when they are substantively updated.

Research Publications by Adam Coffman

A. Coffman and Y. Pan, Some nonlinear differential inequalities and an application to Hölder continuous almost complex structures, Preprint, 18 pages. Posted July 1, 2009.

abstract.txt
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A. Coffman, CR singularities of real fourfolds in C³, Preprint, 45 pages. Posted Oct. 16, 2008, updated April 17, 2009.

abstract.txt
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arXiv.org: 0904.2794
Google Scholar citations

A. Coffman, Unfolding CR Singularities, Preprint, to appear in Memoirs of the AMS, vii+115 pages. Updated Nov. 23, 2008.

abstract.txt
Without figures: $DVI$ 0.5 MB
With 14 figures: $PS$ 21 MB $PDF$ 1.1 MB
Here's a graphics page with some related illustrations, animations, and comments.
An abstract for a talk based on this paper appears in the Abstracts of Papers Presented to the AMS (2) 27 (2006), p. 409.
abstract $PDF$

A. Coffman and Y. Pan, Proper holomorphic maps from domains in C² with transverse circle action, Chinese Annals of Mathematics (English Series B) (5) 28 (2007), 533-542.

abstract.txt
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MathSciNet review: 2358939 (2008i:32021)
Zbl. Math review: 1143.32011
Google Scholar citations

A. Coffman, Analytic stability of the CR cross-cap, Pacific Journal of Mathematics (2) 226 (2006), 221-258.

abstract.txt
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Post-publication comments, updated April 27, 2009. $DVI$ $PS$ $PDF$
MathSciNet review: 2247863 (2007j:32038) $.DVI$ $.PS$ $.PDF$
Zbl. Math review: 1123.32018

A. Coffman, CR singularities of real threefolds in C⁴, Advances in Geometry (1) 6 (2006), 109-137.

abstract.txt
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Addendum, 12 pages. Updated Dec. 30, 2008. $DVI$ $PS$ $PDF$
An abstract for a talk based on this paper appears in the Abstracts of Papers Presented to the AMS (3) 25 (2004), p. 459.
MathSciNet review: 2242865 (2007d:32033) $DVI$ $PS$ $PDF$
Zbl. Math review: 1120.32024

A. Coffman, Real equivalence of complex matrix pencils and complex projections of real Segre varieties, Electronic Journal of Linear Algebra 17 (2008), 651-698.

abstract.txt $PDF$
Without figures: $DVI$
With 7 figures: $PS$
An abstract for a talk based on this paper appears in the Spring 2005 Newsletter of the Indiana Section of the MAA.
MathSciNet pre-review: 2470963 $DVI$ $PS$ $PDF$
ResearchIndex 651095

A. Coffman, D. Legg, and Y. Pan, A Taylor series condition for harmonic extension, Real Analysis Exchange (1) 28 (2002-2003), 235-253.

abstract.txt
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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).
MathSciNet review: 1973984 (2004c:31006) $DVI$ $PS$ $PDF$
Zbl. Math review: 1055.31003
Russian language abstract $PDF$ (p. 721/722 of large PDF file).
ResearchIndex coffman03taylor
Google Scholar citations
Project Euclid abstract (and full text link for subscribers)

A. Coffman and M. Frantz, Möbius transformations and ellipses, The Pi Mu Epsilon Journal (6) 12 (2007), 339-345.

abstract.txt
Without figures: $DVI$
With 3 figures: $PS$ $PDF$
There is also a significantly longer 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.
MathEduc Database review: 2007b.00404
ResearchIndex 701790

A. Coffman, Real congruence of complex matrix pencils and complex projections of real Veronese varieties, Linear Algebra and its Applications 370 (September 2003), 41-83.

abstract.txt
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Errata & post-publication comments, updated Dec. 13, 2007. $DVI$ $PS$ $PDF$
An abstract for a talk based on this paper appears in the Abstracts of Papers Presented to the AMS (3) 22 (2001), p. 466.
ScienceDirect abstract
MathSciNet review: 1994320 (2004f:14026) $DVI$ $PS$ $PDF$
Zbl. Math review: 1049.14042
ResearchIndex coffman03real

A. Coffman, CR singular immersions of complex projective spaces, Beiträge zur Algebra und Geometrie (2) 43 (2002), 451-477.

abstract.txt
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Addendum, 17 pages. Updated Aug. 24, 2007. $DVI$ $PS$ $PDF$
For an illustration related to this paper, see the "deflating ellipsoid" on my graphics gallery page.
MathSciNet review: 1957752 (2003k:32052) $DVI$ $PS$ $PDF$
Zbl. Math review: 1029.32020
ResearchIndex coffman02cr

A. Coffman, Analytic normal form for CR singular surfaces in C³, Houston Journal of Mathematics (4) 30 (2004), 969-996.

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MathSciNet review: 2110245 (2006d:32048) $DVI$ $PS$ $PDF$
Zbl. Math review: 1074.32013
ResearchIndex coffman04analytic

A. Coffman, The attraction of surfaces of revolution, The College Mathematics Journal (5) 32 (November 2001), 372-375.

abstract.txt
JSTOR archived article
Without figures: 4 pages, $DVI$ $PS$ 207KB $PDF$ 102KB
With 1 figure: 5 pages, $PS$ 232KB $PDF$ 107KB
Zbl. Math review: 0995.26003

A. Coffman, A. J. Schwartz, and C. M. Stanton, The algebra and geometry of Steiner and other quadratically parametrizable surfaces, Computer Aided Geometric Design (3) 13 (April 1996), 257-286.

ScienceDirect abstract (and full text link for subscribers)
For related links, images, animation, and code, see my Steiner Surfaces web page.
abstract.txt
Errata & post-publication comments, updated Feb. 22, 2009. $DVI$ $PS$ $PDF$
MathSciNet review: 1390390 (97g:53012) $.DVI$ $.PS$ $.PDF$
Zbl. Math review: 0875.68860
ACM Portal citation

Thesis excerpts

A. Coffman, Enumeration and Normal Forms of Singularities in Cauchy-Riemann Structures, Ph.D. dissertation, University of Chicago. Defended June 9, 1997.

Available in The University of Chicago Library system.
- #QA999.C64 in the University of Chicago Library Catalog, in the Eckhart math library
- WorldCat entry: the entire thesis may be viewable online via ProQuest and UMI.
Chapter I, Introduction: $DVI$ $PS$ $PDF$
Chapter II, Degeneracy loci in CR geometry, and comprehensive bibliography, 20 pages.
- abstract.txt
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Chapters III and V, condensed into: Formal stability of the CR cross-cap, 26 pages.
- abstract.txt
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- ResearchIndex 534019
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).
Listed in the Feb. 1999 AMS Notices, p. 251. $PS$ $.PDF$

A. Coffman, A Classification of Quadratically Parametrized Maps of the Real Projective Plane, B.S. Honors Thesis, University of Michigan, Ann Arbor, 1991.

Notes

These are some notes © by Adam Coffman, unpublished and not in any final form, and falling into three somewhat indistinct categories.

Research Notes

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+120 pages. Updated March 6, 2009.
- abstract.txt
- Here are the first five chapters: $DVI$ $PS$ $PDF$
Notes on series in several variables. 26 pages. Updated January 12, 2002.
- $DVI$ $PS$ $PDF$
Notes on the elementary geometry of real involutions of complex projective spaces. 16 pages. Updated June 10, 2003.
- $DVI$ $PS$ $PDF$

Course Notes

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.
- $PDF$
Notes on first semester calculus, for MA 165: Calculus I. 25 pages. Updated Sept. 4, 2007.
- $DVI$ $PS$ $PDF$
Notes on sequences and series in the calculus of one variable, for MA 166: Calculus II. 17 pages. Updated July 20, 2007.
- $DVI$ $PS$ $PDF$
Notes on elementary linear algebra, for MA 351: Elementary Linear Algebra, MA 511: Linear Algebra and Applications, and MA 554: Linear Algebra. 33 pages. Updated Jan. 24, 2007.
- $DVI$ $PS$ $PDF$
Notes on abstract algebra, for MA 453: Algebra I and MA 553: Introduction to Abstract Algebra. 16 pages. Updated Dec. 29, 2008.
- $DVI$ $PS$ $PDF$
- 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.
- $DVI$ $PS$ $PDF$
- 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.
- $DVI$ $PS$ $PDF$

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.

The CIRM web site has a PDF copy of the slides I used for my talk, "CR singularities and their unfoldings", at the conference on Rigidity in Dynamics and Geometry, at Luminy, May 21-25, 2007.
Ellipses in the inversive plane, joint work with M. Frantz, related to a Mar. 2003 talk at the MAA Indiana Section meeting at Butler University, and also an Oct. 2001 talk at the Midwest SCV conference at the University of Michigan. A shorter article on the same topic appeared in 2007 (listed above).
- Without figures, 25 pages: $DVI$ $PS$ 232KB
- With figures, 26 pages: $PS$ 399KB $PDF$
- ResearchIndex 540201
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.
- abstract.txt
- $DVI$ $PS$ $PDF$
- ResearchIndex 537222
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.
- abstract.txt
- Without figures: $DVI$ $PS$ 238KB $PDF$ 250KB
- With 4 figures: $PS$ 1071KB $PDF$ 370KB
- ResearchIndex 532582

Other stuff by Adam Coffman

My technical assistance with the cover illustration of The College Mathematics Journal (4) 38 (September 2007) issue is acknowledged in the inside front cover.
My digital photo of the IPFW Mastodon sculpture appeared in Indiana Alumni Magazine, (2) 67 (2004), p. 12.
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.
Illustrations for: A. Gurevich, Boundary regularity for free boundary problems, Comm. Pure Appl. Math. (3) 52 (1999), 363-403.
- MathSciNet review: 1656068 (99m:35272) $DVI$ $PS$ $.PDF$
- Zbl. Math review: 928.35213
I am a contributor to Mathematical Reviews.
I am participating in the GIMPS, a distributed computing project searching for Mersenne prime numbers.
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:
- Amer. Math. Monthly 10202, 10249, 10317, 10322, 10348, 10368, 10378, 10519, 10930, 11028, 11040
- CMJ 531, 537, 546, 570, 574, 606, 629, 646, 650, 651, 753, 759, 776
- Math Magazine 1468, 1476, 1661, 1700

Archives and Reviews

Front End for the Mathematics ArXiv at Cornell Univ.
CiteSeer^x Digital Library
MathSciNet
European Mathematical Society, Zentralblatt Math

Research Publications by Adam Coffman