Tsachik Gelander

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Tsachik Gelander
NationalityIsrael
Scientific career
FieldsGeometric group theory, locally compact groups, Lie groups, symmetric spaces
InstitutionsWeizmann Institute of Science
Doctoral advisorShahar Mozes

Tsachik Gelander (צחיק גלנדר) is an Israeli mathematician working in the fields of Lie groups, topological groups, symmetric spaces, lattices and discrete subgroups (of Lie groups as well as general locally compact groups).[1] He is a professor in Weizmann Institute of Science.[2]

Gelander earned his Ph.D. from the Hebrew University of Jerusalem in 2003, under the supervision of Shahar Mozes.[3] His doctoral dissertation, Counting Manifolds and Tits Alternative, won the Haim Nessyahu Prize in Mathematics, awarded by the Israel Mathematical Union for the best annual doctoral dissertations in mathematics.[4]

In 2018, he was an invited speaker in the International Congress of Mathematicians, giving a talk under the title of Asymptotic Invariants of Locally Symmetric Spaces.[5] He contributed to the theory of lattices, Fuchsian groups and local rigidity, and the work on Chern's conjecture and the Derivation Problem.[6]

Selected Publications[]

  • Gelander, Tsachik Homotopy type and volume of locally symmetric manifolds. Duke Math. J. 124 (2004), no. 3, 459–515.
  • Bader, Uri; Furman, Alex; Gelander, Tsachik; Monod, Nicolas Property (T) and rigidity for actions on Banach spaces. Acta Math. 198 (2007), no. 1, 57–105.
  • Breuillard, E.; Gelander, T. A topological Tits alternative. Ann. of Math. (2) 166 (2007), no. 2, 427–474.
  • Breuillard, E.; Gelander, T. Uniform independence in linear groups. Invent. Math. 173 (2008), no. 2, 225–263.
  • Belolipetsky, Mikhail; Gelander, Tsachik; Lubotzky, Alexander; Shalev, Aner Counting arithmetic lattices and surfaces. Ann. of Math. (2) 172 (2010), no. 3, 2197–2221.
  • Bader, U.; Gelander, T.; Monod, N. A fixed point theorem for L1 spaces. Invent. Math. 189 (2012), no. 1, 143–148.
  • Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo On the growth of L2-invariants for sequences of lattices in Lie groups. Ann. of Math. (2) 185 (2017), no. 3, 711–790.
  • Gelander, Tsachik A view on invariant random subgroups and lattices. Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018. Vol. II. Invited lectures, 1321–1344, World Sci. Publ., Hackensack, NJ, 2018.

References[]

  1. ^ https://www.weizmann.ac.il/math/Gelander/ Gelander's homepage
  2. ^ Personal Profile of Prof. Dr. Tsachik Gelander
  3. ^ Tsachik Gelander at the Mathematics Genealogy Project
  4. ^ "The Haim Nessyahu Prize in Mathematics", MacTutor History of Mathematics Archive, retrieved 2020-07-20
  5. ^ Asymptotic invariants of locally symmetric spaces – Tsachik Gelander – ICM2018
  6. ^ Mathematics: Mapping a fixed point EPFL
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