Brian White's Preprints
Preprints

Axial minimal surfaces in S^{2}x R are helicoidal.

(with David Hoffman)

arXiv

The maximum principle for minimal varieties of arbitrary codimension.

arXiv

Sequences of embedded minimal disks whose curvatures blow up on a
prescribed subset of a line.

(with David Hoffman)

arXiv

On the number of minimal surfaces with a given boundary.

(with David Hoffman)

arXiv

Which ambient spaces admit isopermetric inequalities
for submanifolds?

J. Diff. Geom. 83 (2009), 213228.
arXiv

Currents and flat chains associated to varifolds, with
an application to mean curvature flow.

Duke Math. J. 148 (2009), no. 1, 4162.
arXiv

The geometry of genusone helicoids.

(with David Hoffman)

Comm. Math. Helv. 84 (2009), no. 3, 547569.
arXiv

Genusone helicoids from a variational point of view.

(with David Hoffman)

Comm. Math. Helv. 83 (2008), no. 4, 767813.
arXiv

Evolution of curves and surfaces by mean curvature.

Proceedings of the International Congress of Mathematicians, Vol I (Beijing, 2002),
525538.

arXiv,
postscript file.

Embeddedness of minimal surfaces with total boundary curvature at most 4&pi.
 (with Tobias Ekholm and Daniel Wienholtz)

Annals of Mathematics. 155 (2002), no. 1, 109234.

arXiv,
abstract ,
dvi,
ps.

A local regularity theorem for mean curvature flow.

Ann. of Math. 161 (2005), 1481519.

abstract ,
pdf,
dvi,
ps.

The nature of singularities in mean curvature flow of mean convex surfaces.

Journal of the Amer. Math. Soc. 16 (2003), 123138.

jams link,
abstract ,
pdf,
dvi,
ps.

The size of the singular set in mean curvature flow of mean convex surfaces.

Journal of the Amer. Math. Soc. 13 (2000), no. 3, 665695.

free from JAMS.
abstract ,
dvi,
ps.

The deformation theorem for flat chains.

Acta Mathematica 183 (1999), no. 2, 255271.

abstract ,
dvi,
pdf (acrobat),
ps.

Rectifiability of flat chains.

Annals of Mathematics 150 (1999), no. 1, 165184.

published paper on jstor,
abstract ,
dvi,
ps.

The mathematics of F. J. Almgren, Jr.

J. Geom. Analysis 8 (1998), no. 5, 681702.(to appear)

pdf (adobe acrobat; 275 kb),
dvi (110 kb),
ps.

A condensed verion appeared in the Notices of the Amer. Math. Soc.
44(11), 14511456.
The condensed version is available from
the online AMS Notices.

Soapfilms bounded by nonclosed curves.
 (with J. Drachman) J. Geom. Analysis 8 (1998), no. 2, 239250.

abstract ,
paper .

Classical area minimizing surfaces with real analytic boundaries.

Acta Mathematica 179 (1997), no. 2, 295305.

abstract ,
AMSTeX,
dvi,
ps.

Stratification of minimal surfaces, mean curvature flows,
and harmonic maps.
 J. Reine und Angewandte Math. 488 (1997), pages 135.

abstract ,
dvi,
ps;

Figures (.gif): 1, 2,
3.

Half of enneper's surface minimizes area.

"Geometric analysis and the calculus of variations for Stefan
Hildebrandt", pages 361368
 (International Press 1996, ed. J. Jost.)

abstract ,
AMSTeX,
dvi,
ps.

Existence of leastenergy configurations of immiscible fluids.

J. Geom. Analysis 6 (1996), 151161.

abstract ,
AMSTeX,
dvi,
ps.

The topology of hypersurfaces moving by mean curvature

Communications in Analysis and Geometry 3 (1995), 317333.

pdf.
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