|Alma mater||Université Paris-Sud XI |
University of Iaşi
|Awards||Whitehead Prize (2009)|
|Institutions||University of Oxford |
University of Lille 1
|Doctoral advisor||Pierre Pansu|
Cornelia Druţu is a Romanian mathematician notable for her contributions in the area of geometric group theory. She is Professor of mathematics at the University of Oxford and Fellow  of Exeter College, Oxford.
Education and career
Druţu was born in Iaşi, Romania. She attended the Emil Racoviță High School (now the National College Emil Racoviță) 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.
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. 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.
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.
In 2017, Druţu was awarded a Simons Visiting Fellowship.
- 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. doi:10.1016/j.aim.2010.03.012. MR 2671183.
- Druţu, Cornelia; Nowak, Piotr W. (2017). "Kazhdan projections, random walks and ergodic theorems". Journal für die reine und angewandte Mathematik. arXiv:1501.03473. doi:10.1515/crelle-2017-0002.
- Druţu, Cornelia; Mackay, John (2019). "Random groups, random graphs and eigenvalues of p-Laplacians". Advances in Mathematics. 341: 188–254. doi:10.1016/j.aim.2018.10.035. MR 3872847.
- Druţu, Cornelia; Kapovich, Michael (2018). Geometric Group Theory (PDF). American Mathematical Society Colloquium Publications. 63. Providence, RI: American Mathematical Society. ISBN 978-1-4704-1104-6. MR 3753580.
- "MathSciNet". Retrieved October 31, 2010.
- "ArXiv.org". Retrieved October 31, 2010.
- Cornelia Druţu. "Papers". Retrieved October 31, 2010.
- Geometric Group Theory
- Tree-graded space
- Kazhdan's property (T)
- Cornelia Druţu. "Cornelia Druţu's Homepage".
- Exeter College, Oxford. "Professor Cornelia Druţu".
- "the National College Emil Racoviţa".
- Cornelia Druţu at the Mathematics Genealogy Project
- Cornelia Druţu. "Habilitation Cornelia Druţu".
- "Simons Visiting Fellowships".
- "EMS/EWM Scientific Committee". 2008-03-22.
- London Mathematical Society. "Prize Winners 2009". Archived from the original on 2009-10-23. Retrieved 2010-10-31.