Cornelia Druțu

Cornelia Druţu 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.

Cornelia Druţu
Born
Alma materUniversité Paris-Sud XI
University of Iaşi
AwardsWhitehead Prize (2009)
Scientific career
FieldsMathematics
InstitutionsUniversity of Oxford
University of Lille 1
Doctoral advisorPierre Pansu

Education and career

Druţu was born in Iaşi, Romania. She attended the Emil Racoviță High School (now the National College Emil Racoviță[3]) in Iaşi. She earned a B.S. in Mathematics from the University of Iaşi, where besides attending the core courses she received extra curricular teaching in geometry and topology from Professor Liliana Răileanu.[2]

Druţu 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 Professor 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]

She is currently chair of the joint scientific committee of the European Mathematical Society and European Women in Mathematics.[7]

Awards

In 2009, Druţu was awarded the Whitehead Prize by the London Mathematical Society for her work in geometric group theory.[8]

In 2017, Druţu 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 continuously many non-homeomorphic asymptotic cones. Under the Continuum Hypothesis, a finitely generated group may have at most continuously 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 spaces.

Selected publications (in the order corresponding to the results above)

  • Druţu, Cornelia (2009). "Relatively hyperbolic groups: geometry and quasi-isometric invariance". Commentarii Mathematici Helvetici. 84: 503–546. arXiv:math/0605211. doi:10.4171/CMH/171. MR 2507252..
  • Behrstock, Jason; Druţu, Cornelia; Mosher, Lee (2009). "Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity". Mathematische Annalen. 344 (3): 543–595. arXiv:math/0512592. doi:10.1007/s00208-008-0317-1. MR 2501302.
  • Druţu, Cornelia (1997). "Nondistorsion des horosphères dans des immeubles euclidiens et dans des espaces symétriques". Geometric and Functional Analysis. 7 (4): 712–754. doi:10.1007/s000390050024. MR 1465600.
  • Druţu, Cornelia (2004). "Filling in solvable groups and in lattices in semisimple groups". Topology. 43 (5): 983–1033. arXiv:math/0110107. doi:10.1016/j.top.2003.11.004. MR 2079992.
  • Druţu, Cornelia; Sapir, Mark (2005). With an appendix by Denis Osin and Mark Sapir. "Tree-graded spaces and asymptotic cones of groups". Topology. 44 (5): 959–1058. arXiv:math/0405030. doi:10.1016/j.top.2005.03.003. MR 2153979.
  • Chatterji, Indira; Druţu, Cornelia; Haglund, Frédéric (2010). "Kazhdan and Haagerup properties from the median viewpoint". Advances in Mathematics. 225 (2): 882–921. CiteSeerX 10.1.1.313.1428. doi:10.1016/j.aim.2010.03.012. MR 2671183.

Published book

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See also

References

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