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Ailana M. Fraser

Professor

AF

Department of Mathematics
University of British Columbia
121 - 1984 Mathematics Road
Vancouver, BC V6T 1Z2

Email: afraser@math.ubc.ca
Phone: (604) 822-2785
Fax: (604) 822-6074

Office: Math Annex 1226

Research: Differential Geometry, Geometric Analysis

Selected Honours:

Fellow of the American Mathematical Society, 2012-

CMS 2012 Krieger-Nelson Prize

NSERC Discovery Accelerator Supplement, 2010-2013

NSERC University Faculty Award, 2002-2007

Selected Publications:

Uniqueness theorems for free boundary minimal disks in space forms (with R. Schoen), to appear in International Mathematics Research Notices (2014).

Sharp eigenvalue bounds and minimal surfaces in the ball (with R. Schoen), Preprint (2014).

Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with non-negative Ricci curvature and convex boundary (with M. Li), Journal of Differential Geometry 96 (2014), no.2, 183-200.

Minimal surfaces and eigenvalue problems (with R. Schoen), Contemporary Mathematics 599 (2013), 105-121.

Minimal immersions of compact bordered Riemann surfaces with free boundary (with J. Chen, C. Pang), to appear in Transactions of the American Mathematical Society (2012).

Minimal surface techniques in Riemannian geometry, Surveys in Geometric Analysis and Relativity, Advanced Lectures in Mathematics 20, International Press (2011), 205-219.

The first Steklov eigenvalue, conformal geometry, and minimal surfaces (with R. Schoen), Advances in Mathematics 226 (2011), no. 5 4011-4030.

Holomorphic variations of minimal disks with boundary on a Lagrangian surface (with J. Chen), Canadian Journal of Mathematics 62 (2010), no. 6 1264-1275.

On stable minimal disks in manifolds with nonnegative isotropic curvature (with J. Chen), Journal fur die Reine und Angewandte Mathematik 643 (2010), 21-37.

Index estimates for minimal surfaces and k-convexity, Proceedings of the American Mathematical Society 135 (2007), no. 11 3733-3744.

The fundamental group of manifolds of positive isotropic curvature and surface groups (with J. Wolfson), Duke Mathematical Journal 133 (2006), no.2 325-334.

Fundamental groups of manifolds with positive isotropic curvature, Annals of Mathematics 158 (2003), no. 1 345-354.

Minimal disks and two-convex hypersurfaces, American Journal of Mathematics 124 (2002), no.3 483-493.

On the free boundary variational problem for minimal disks, Communications on Pure and Applied Mathematics 53 (2000), no. 8 931-971.