PAPERS
The space of almost
complex 2-spheres in the
6-sphere.
Trans. Amer. Math. Soc., electronically published on
November 24, 2014, DOI: http://dx.doi.org/10.1090/S0002-9947-2014-06070-4
Preprint here.
The
Dimension and Structure of the Space of Harmonic 2-Spheres in the
m-Sphere.
Ann. of Math. (2) 175 (2012), no. 3, 1093–1125.
Preprint here.
Topology and analytic structure of the space of harmonic
2-spheres in the
m-sphere.
Preprint
(2011).
On the Regularity of the Space of Harmonic 2-Spheres in the 4-Sphere
(with J. Bolton).
Harmonic maps and differential geometry, 187–194,
Contemp. Math., 542, Amer. Math. Soc., Providence, RI,
(2011).
Preprint
here.
Regularity of the space of
harmonic 2-spheres in the unit 4-sphere
(with
J. Bolton)
Proceedings of the 16th OCU International Academic
Symposium 2008 ”Riemann Surfaces, Harmonic Maps and
Visualization”,
OCAMI Studies Volume 3, Osaka Municipal
University Press (2010),
pp. 119–128.
Preprint
here.
Some
recent developments in the study of minimal 2-spheres in spheres
(with
J. Bolton and J.C. Wood).
Surikaisekikenkyusho
kokyuroku No. 1605 "Geometry related to the theory of
integrable systems"(2008), pp. 151—169.
Preprint
here.
The
Dimension of the Space of Harmonic 2-Spheres in the 6-Sphere.
Bull. Lond. Math. Soc. 38 (Part 1) (2006), 163—176.
Preprint
here.
On
the Moduli Space of Superminimal Surfaces in Spheres.
Int. J. Of Math. and Math. Sci. N. 44 (2003), 2803—2827.
Full
text here.
Normalized
potentials of minimal surfaces in spheres
(with
Q. S. Chi and H. Wu).
Nagoya Math. J., 156 (1999), 187—214.
Full
text here.
Superminimal
Surfaces in Spheres.
PhD thesis,
Washington University, St. Louis (1997).