Английская Википедия:Cornelia Druțu
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Cornelia Druțu is a Romanian mathematician notable for her contributions in the area of geometric group theory.[1] She is Professor of mathematics at the University of Oxford[1] and Fellow[2] of Exeter College, Oxford.
Education and career
Druțu was born in Iași, Romania. She attended the Emil Racoviță High School (now the National College Emil Racoviță[3]) in Iași. She earned a B.S. in Mathematics from the University of Iași, where besides attending the core courses she received extra curricular teaching in geometry and topology from Professor Liliana Răileanu.[2]
In 1996 Druțu earned a Ph.D. in Mathematics from University of Paris-Sud, with a thesis entitled Réseaux non uniformes des groupes de Lie semi-simple de rang supérieur et invariants de quasiisométrie, written under the supervision of Pierre Pansu.[4] She then joined the University of Lille 1 as Maître de conférences (MCF). In 2004 she earned her Habilitation degree from the University of Lille 1.[5]
In 2009 she became Professor of mathematics at the Mathematical Institute, University of Oxford.[1]
She held visiting positions at the Max Planck Institute for Mathematics in Bonn, the Institut des Hautes Études Scientifiques in Bures-sur-Yvette, the Mathematical Sciences Research Institute in Berkeley, California. She visited the Isaac Newton Institute in Cambridge as holder of a Simons Fellowship.[6] From 2013 to 2020 she chaired the European Mathematical Society/European Women in Mathematics scientific panel of women mathematicians.[7][8]
Awards
In 2009, Druțu was awarded the Whitehead Prize by the London Mathematical Society for her work in geometric group theory.[9]
In 2017, Druțu was awarded a Simons Visiting Fellowship.[6]
Publications
Selected contributions
- The quasi-isometry invariance of relative hyperbolicity; a characterization of relatively hyperbolic groups using geodesic triangles, similar to the one of hyperbolic groups.
- A classification of relatively hyperbolic groups up to quasi-isometry; the fact that a group with a quasi-isometric embedding in a relatively hyperbolic metric space, with image at infinite distance from any peripheral set, must be relatively hyperbolic.
- The non-distortion of horospheres in symmetric spaces of non-compact type and in Euclidean buildings, with constants depending only on the Weyl group.
- The quadratic filling for certain linear solvable groups (with uniform constants for large classes of such groups).
- A construction of a 2-generated recursively presented group with continuum many non-homeomorphic asymptotic cones. Under the continuum hypothesis, a finitely generated group may have at most continuum many non-homeomorphic asymptotic cones, hence the result is sharp.
- A characterization of Kazhdan's property (T) and of the Haagerup property using affine isometric actions on median spaces.
- A study of generalizations of Kazhdan's property (T) for uniformly convex Banach spaces.
- A proof that random groups satisfy strengthened versions of Kazhdan's property (T) for high enough density; a proof that for random groups the conformal dimension of the boundary is connected to the maximal value of p for which the groups have fixed point properties for isometric affine actions on <math>L^p</math> spaces.
Selected publications (in the order corresponding to the results above)
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Published book
See also
References
External links
- Английская Википедия
- Living people
- 20th-century Romanian mathematicians
- 21st-century Romanian mathematicians
- Women mathematicians
- Fellows of Exeter College, Oxford
- Whitehead Prize winners
- Alexandru Ioan Cuza University alumni
- Paris-Sud University alumni
- Group theorists
- Academic staff of the Lille University of Science and Technology
- Scientists from Iași
- Year of birth missing (living people)
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