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Fraser is well-known for her 2011 work with Schoen on the first "Steklov eigenvalue" of a compact
Riemannian manifold-with-boundary. This is defined as the minimal nonzero eigenvalue of the "Dirichlet to Neumann" operator which sends a function on the boundary to the normal derivative of its harmonic
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Under an ansatz of rotational symmetry, Fraser and Schoen carefully analyzed the case of an annulus, showing that the metric optimizing the above eigenvalue-length product is obtained as the intrinsic geometry of a geometrically meaningful part of the
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for surfaces with boundary, they were able to remove the condition of rotational symmetry, replacing it by certain weaker conditions; however, they conjectured that their result should be unconditional.
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and Yau's "conformal volume." By building upon some of Li and Yau's arguments, they gave lower bounds for the first
Steklov eigenvalue in terms of conformal volumes, in addition to
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problems and sharp eigenvalue estimates for surfaces, min-max minimal surface theory, free boundary minimal surfaces, and positive isotropic curvature.
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UBC Mathematician
Recognized for Research Excellence: Ailana Fraser to Receive CMS 2012 Krieger-Nelson Prize
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Professors Ailana Fraser and Marco
Gualtieri to receive the 2021 CMS Cathleen Synge Morawetz Prize
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extension into the interior. In the two-dimensional case, Fraser and Schoen were able to adapt
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505:"Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds"
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listed her in their inaugural class of fellows and in 2021 awarded her, along with
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127:. She received her Ph.D. from Stanford University in 1998 under the supervision of
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In general dimensions, Fraser and Schoen developed a "boundary" version of
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236:"The first Steklov eigenvalue, conformal geometry, and minimal surfaces"
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659:"2022 Simons Fellows in Mathematics and Theoretical Physics Announced"
457:"Quatre propriétés isopérimétriques de membranes sphériques homogènes"
293:(2016). "Sharp eigenvalue bounds and minimal surfaces in the ball".
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Annali della Scuola
Normale Superiore di Pisa. Classe di Scienze
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is a
Canadian mathematician and professor of mathematics at the
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Academic staff of the
University of British Columbia
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List of
Fellows of the American Mathematical Society
107:. Her research is particularly focused on extremal
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647:, Canadian Mathematical Society, February 10, 2021
462:Comptes Rendus de l'Académie des Sciences, Série A
734:Courant Institute of Mathematical Sciences alumni
631:, Canadian Mathematical Society, December 7, 2018
184:for certain minimal surfaces of the unit ball.
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724:Fellows of the Canadian Mathematical Society
719:Fellows of the American Mathematical Society
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131:. After postdoctoral studies at the
200:in 2012 and became a fellow of the
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216:Prize. In 2022 she was awarded a
99:. She is known for her work in
74:Mathematics, Geometric Analysis
97:University of British Columbia
82:University of British Columbia
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699:Canadian women mathematicians
443:Mathematics Genealogy Project
403:Canadian Mathematical Society
206:Canadian Mathematical Society
202:American Mathematical Society
198:Canadian Mathematical Society
420:Institute for Advanced Study
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704:Stanford University alumni
182:isoperimetric inequalities
327:10.1007/s00222-015-0604-x
265:10.1016/j.aim.2010.11.007
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709:Brown University faculty
556:Inventiones Mathematicae
296:Inventiones Mathematicae
115:Early life and education
42:Professor of Mathematics
33:Toronto, Ontario, Canada
729:Scientists from Toronto
694:Canadian mathematicians
616:, retrieved 2013-01-21.
455:Hersch, Joseph (1970).
241:Advances in Mathematics
214:Cathleen Synge Morawetz
439:Ailana Margaret Fraser
170:uniformization theorem
143:before moving to UBC.
93:Ailana Margaret Fraser
23:Ailana Margaret Fraser
16:Canadian mathematician
204:in 2013. In 2018 the
194:Krieger–Nelson Prize
569:1982InMat..69..269L
319:2016InMat.203..823F
137:New York University
119:Fraser was born in
61:Stanford University
51:Academic background
577:10.1007/BF01399507
376:2020-08-10 at the
224:Major publications
103:and the theory of
101:geometric analysis
663:Simons Foundation
218:Simons Fellowship
188:Awards and honors
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248:(5): 4011–4030.
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291:Schoen, Richard
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515:(1): 55–63.
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425:2019-03-12
359:References
351:1337.35099
282:1215.53052
147:Major work
109:eigenvalue
71:Discipline
57:Alma mater
39:Occupation
593:123019753
543:Li, Peter
343:119615775
310:1209.3789
255:0912.5392
154:Paul Yang
549:(1982).
503:(1980).
374:Archived
234:(2011).
178:Peter Li
166:catenoid
585:0674407
565:Bibcode
521:0577325
475:0292357
441:at the
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315:Bibcode
274:2770439
196:of the
125:Ontario
121:Toronto
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156:and
29:Born
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