Ailana M. Fraser
Department of Mathematics
University of British Columbia
121 - 1984 Mathematics Road
Vancouver, BC V6T 1Z2
Phone: (604) 822-2785
Fax: (604) 822-6074
Office: Math Annex 1226
Research: Differential Geometry, Geometric Analysis
Fellow of the Canadian Mathematical Society, 2018-
Fellow of the American Mathematical Society, 2012-
CMS 2012 Krieger-Nelson Prize
NSERC Discovery Accelerator Supplement, 2010-2013
NSERC University Faculty Award, 2002-2007
Recent Events Co-organized:
2020 CMS 75th Anniversary Summer Meeting, Ottawa, June 5-8, 2020
PIMS Workshop on Geometric Anlaysis, UBC, May 18-19, 2019
Pacific Northwest Geometry Seminar, UBC, March 3-4, 2018
PIMS CRG Conference on Geometric Analysis, UBC, July 24-28, 2017
CMS Winter Meeting, Session on Differential Geometry, Montreal, Dec 4-7, 2015
Women in Geometry Workshop held at Banff International Research Station, November 1-6, 2015. Here is the Women in Geometry Workshop webpage.
Some results on higher eigenvalue optimization (with R. Schoen), arXiv:1910.03547.
Existence and classification of S^1-invariant free boundary annuli and Mobius bands in B^n (with P. Sargent), arXiv:1910.03238.
Shape optimization for the Steklov problem in higher dimensions (with R. Schoen), Advances in Mathematics 348 (2019), 146-162.
Existence of harmonic maps into CAT(1) spaces (with C. Breiner, L.-H. Huang, C. Mese, P. Sargent, Y. Zhang), to appear in Communications in Analysis and Geometry special issue in honor of Prof. Uhlenbeck's 75th birthday.
Regularity of Harmonic Maps from Polyhedra to CAT(1) Spaces (with C. Breiner, L.-H. Huang, C. Mese, P. Sargent, Y. Zhang), Calculus of Variations and Partial Differential Equations 57 (2018), no. 1, 1-35.
Mean curvature in manifolds with Ricci curvature bounded from below (with J. Choe), Commentarii Mathematici Helvetici 93 (2018), no.1, 55-69.
Sharp eigenvalue bounds and minimal surfaces in the ball (with R. Schoen), Inventiones Mathematicae 203(3) (2016), 823-890.
Uniqueness theorems for free boundary minimal disks in space forms (with R. Schoen), International Mathematics Research Notices (2015), no. 17, 8268-8274.
Minimal immersions of compact bordered Riemann surfaces with free boundary (with J. Chen, C. Pang), Transactions of the American Mathematical Society 367 (2015), 2487-2507.
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 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.