Preprints

Evolution of curves and surfaces by mean curvature.

Proceedings of the International Congress of Mathematicians (Beijing 2000), to appear.

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, 109-234.

abstract , dvi, ps.

A local regularity theorem for mean curvature flow.

abstract , pdf, dvi, ps.

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

Journal of the Amer. Math. Soc. 16 (2003), 123-138.

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, 665-695.

abstract , dvi, ps.

The deformation theorem for flat chains.

Acta Mathematica 183 (1999), no. 2, 255-271.

abstract , dvi, pdf (acrobat), ps.

Rectifiability of flat chains.

Annals of Mathematics 150 (1999), no. 1, 165-184.

abstract , dvi, ps.

The mathematics of F. J. Almgren, Jr.

J. Geom. Analysis 8 (1998), no. 5, 681--702.(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), 1451--1456. The condensed version is available from the online AMS Notices.

Soap-films bounded by non-closed curves.

(with J. Drachman) J. Geom. Analysis 8 (1998), no. 2, 239-250.

abstract , paper .

Classical area minimizing surfaces with real analytic boundaries.

Acta Mathematica 179 (1997), no. 2, 295-305.

abstract , AMS-TeX, dvi, ps.

Stratification of minimal surfaces, mean curvature flows, and harmonic maps.

J. Reine und Angewandte Math. 488 (1997), pages 1-35.

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 361-368

(International Press 1996, ed. J. Jost.)

abstract , AMS-TeX, dvi, ps.

Existence of least-energy configurations of immiscible fluids.

J. Geom. Analysis 6 (1996), 151-161.

abstract , AMS-TeX, dvi, ps.

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