Last update: Oct. 6, 2014.

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, Y. Pan, and Y. Zhang, Continuous solutions of nonlinear Cauchy-Riemann equations and pseudoholomorphic curves in normal coordinates, Preprint, 20 pages. Posted Oct. 6, 2014.
A. Coffman, Real linear maps preserving some complex subspaces, Preprint, 15 pages appearing online in Beiträge zur Algebra und Geometrie.
  • abstract.txt
  • DVI PS PDF (13 page format. updated March 21, 2014.)
  • An abstract for a talk based on this paper appears in the Fall 2013 Newsletter of the Indiana Section of the MAA.
  • An abstract for a talk based on this paper appears in the Abstracts of Papers Presented to the AMS (1) 35 (2014), p. 100. PDF
A. Coffman, Weighted projective spaces and a generalization of Eves' Theorem. Journal of Mathematical Imaging and Vision (3) 48 (2014), 432-450.
  • abstract.txt
  • PS PDF 46 pages with 8 figures in color.
  • Addendum, 3 pages. Updated Sept. 3, 2014. PS PDF (a 2-page version of this Addendum appears on the Springer web site.)
  • An abstract for a talk based on this paper appears in the Spring 2012 Newsletter of the Indiana Section of the MAA.
  • An abstract for a talk based on this paper appears in the Abstracts of Papers Presented to the AMS (3) 34 (2013), p. 865. PDF
  • arxiv.org: 1204.1686
  • MathSciNet pre-review: 3171423
  • Zbl. Math review: 06316454
A. Coffman and Y. Pan, Smooth counterexamples to strong unique continuation for a Beltrami system in C2, Communications in Partial Differential Equations (12) 37 (2012), 2228-2244.
A. Coffman and Y. Pan, Glaeser's inequality on an interval, Real Analysis Exchange (2) 36 (2010/2011), 483-490.
  • 6 pages: DVI PS PDF
  • Here's a longer version, 8 pages with 3 figures: PS PDF
  • Project Euclid abstract (and full text link for subscribers)
  • An abstract for a talk based on this paper appears in the Spring 2010 Newsletter of the Indiana Section of the MAA.
  • MathSciNet review: 3016732PDF
  • Zbl. Math review: 1259.26022
A. Coffman and Y. Pan, Some nonlinear differential inequalities and an application to Hölder continuous almost complex structures, Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire (2) 28 (2011), 149-157.
A. Coffman, CR singularities of real fourfolds in C3, Illinois Journal of Mathematics (3) 53 (2009), 939-981.
A. Coffman, Unfolding CR Singularities, Memoirs of the AMS (962) 205 (2010), vii+90 pages.
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.
A. Coffman, Analytic stability of the CR cross-cap, Pacific Journal of Mathematics (2) 226 (2006), 221-258.
A. Coffman, CR singularities of real threefolds in C4, Advances in Geometry (1) 6 (2006), 109-137.
  • abstract.txt
  • DVI PS PDF
  • Addendum, 12 pages. Updated July 26, 2013. 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.
A. Coffman, D. Legg, and Y. Pan, A Taylor series condition for harmonic extension, Real Analysis Exchange (1) 28 (2002-2003), 235-253.
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
  • Google Scholar citations
  • CiteSeer record
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
  • DVI PS PDF
  • Errata & post-publication comments, updated Oct. 14, 2010. 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 (and full text link for subscribers)
  • MathSciNet review: 1994320 (2004f:14026) DVI PS PDF
  • Zbl. Math review: 1049.14042
  • CiteSeer record
A. Coffman, CR singular immersions of complex projective spaces, Beiträge zur Algebra und Geometrie (2) 43 (2002), 451-477.
A. Coffman, Analytic normal form for CR singular surfaces in C3, Houston Journal of Mathematics (4) 30 (2004), 969-996.
A. Coffman, The attraction of surfaces of revolution, The College Mathematics Journal (5) 32 (November 2001), 372-375.
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.


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.
  • Chapters III and V, condensed into: Formal stability of the CR cross-cap, 26 pages.
  • 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
  • MathSciNet entry: 2716702PDF
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.
Course Notes
These are compiled from my classroom handouts, for IPFW courses since 1997.
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.

Other stuff by Adam Coffman


Archives and Reviews


Related Papers available on the Web

These papers (with which I had no involvement) are related to my research interests and current projects.
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