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==Selected publications==
==Selected publications==


* Gelander, Tsachik Homotopy type and volume of locally symmetric manifolds. Duke Math. J. 124 (2004), no. 3, 459–515.
* {{cite journal | last=Gelander | first=Tsachik | title=Homotopy type and volume of locally symmetric manifolds | journal=Duke Mathematical Journal | publisher=Duke University Press | volume=124 | issue=3 | date=15 September 2004 | issn=0012-7094 | doi=10.1215/s0012-7094-04-12432-7}}
*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.
* {{cite journal | last=Bader | first=Uri | last2=Furman | first2=Alex | last3=Gelander | first3=Tsachik | last4=Monod | first4=Nicolas | title=Property (T) and rigidity for actions on Banach spaces | journal=Acta Mathematica | publisher=International Press of Boston | volume=198 | issue=1 | year=2007 | issn=0001-5962 | doi=10.1007/s11511-007-0013-0 | pages=57–105}}
*Breuillard, E.; Gelander, T. A topological Tits alternative. Ann. of Math. (2) 166 (2007), no. 2, 427–474.
* {{cite journal | last=Breuillard | first=Emmanuel | last2=Gelander | first2=Tsachik | title=A topological Tits alternative | journal=Annals of Mathematics | publisher=Annals of Mathematics | volume=166 | issue=2 | date=1 September 2007 | issn=0003-486X | doi=10.4007/annals.2007.166.427 | pages=427–474}}
*Breuillard, E.; Gelander, T. Uniform independence in linear groups. Invent. Math. 173 (2008), no. 2, 225–263.
* {{cite journal | last=Breuillard | first=E. | last2=Gelander | first2=T. | title=Uniform independence in linear groups | journal=Inventiones mathematicae | publisher=Springer Science and Business Media LLC | volume=173 | issue=2 | date=3 May 2008 | issn=0020-9910 | doi=10.1007/s00222-007-0101-y | pages=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.
* {{cite journal | last=Belolipetsky | first=Mikhail | last2=Gelander | first2=Tsachik | last3=Lubotzky | first3=Alexander | last4=Shalev | first4=Aner | title=Counting arithmetic lattices and surfaces | journal=Annals of Mathematics | publisher=Annals of Mathematics | volume=172 | issue=3 | date=5 October 2010 | issn=0003-486X | doi=10.4007/annals.2010.172.2197 | pages=2197–2221}}
* Bader, U.; Gelander, T.; Monod, N. A fixed point theorem for L1 spaces. Invent. Math. 189 (2012), no. 1, 143–148.
* {{cite journal | last=Bader | first=U. | last2=Gelander | first2=T. | last3=Monod | first3=N. | title=A fixed point theorem for L 1 spaces | journal=Inventiones mathematicae | publisher=Springer Science and Business Media LLC | volume=189 | issue=1 | date=27 October 2011 | issn=0020-9910 | doi=10.1007/s00222-011-0363-2 | pages=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.
* {{cite journal | last=Abert | first=Miklos | last2=Bergeron | first2=Nicolas | last3=Biringer | first3=Ian | last4=Gelander | first4=Tsachik | last5=Nikolav | first5=Nikolay | last6=Raimbault | first6=Jean | last7=Samet | first7=Iddo | title=On the growth of $L^2$-invariants for sequences of lattices in Lie groups | journal=Annals of Mathematics | publisher=Annals of Mathematics | volume=185 | issue=3 | date=1 May 2017 | issn=0003-486X | doi=10.4007/annals.2017.185.3.1}}
* {{cite conference | last=Gelander | first=Tsachik | title=A VIEW ON INVARIANT RANDOM SUBGROUPS AND LATTICES | publisher=WORLD SCIENTIFIC | year=2019 | doi=10.1142/9789813272880_0099}}
* 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==
==References==

Revision as of 08:09, 22 November 2022

Tsachik Gelander
NationalityIsrael
Scientific career
FieldsGeometric group theory, locally compact groups, Lie groups, symmetric spaces
InstitutionsNorthwestern University
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 Northwestern University.

Gelander earned his Ph.D. from the Hebrew University of Jerusalem in 2003, under the supervision of Shahar Mozes.[2] 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.[3] He contributed to the theory of lattices, Fuchsian groups and local rigidity, and the work on Chern's conjecture and the Derivation Problem.[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 was one of the nine European mathematicians awarded the ERC Advanced Grants 2021.[6][7]

Selected publications

  • Gelander, Tsachik (15 September 2004). "Homotopy type and volume of locally symmetric manifolds". Duke Mathematical Journal. 124 (3). Duke University Press. doi:10.1215/s0012-7094-04-12432-7. ISSN 0012-7094.
  • Bader, Uri; Furman, Alex; Gelander, Tsachik; Monod, Nicolas (2007). "Property (T) and rigidity for actions on Banach spaces". Acta Mathematica. 198 (1). International Press of Boston: 57–105. doi:10.1007/s11511-007-0013-0. ISSN 0001-5962.
  • Breuillard, Emmanuel; Gelander, Tsachik (1 September 2007). "A topological Tits alternative". Annals of Mathematics. 166 (2). Annals of Mathematics: 427–474. doi:10.4007/annals.2007.166.427. ISSN 0003-486X.
  • Breuillard, E.; Gelander, T. (3 May 2008). "Uniform independence in linear groups". Inventiones mathematicae. 173 (2). Springer Science and Business Media LLC: 225–263. doi:10.1007/s00222-007-0101-y. ISSN 0020-9910.
  • Belolipetsky, Mikhail; Gelander, Tsachik; Lubotzky, Alexander; Shalev, Aner (5 October 2010). "Counting arithmetic lattices and surfaces". Annals of Mathematics. 172 (3). Annals of Mathematics: 2197–2221. doi:10.4007/annals.2010.172.2197. ISSN 0003-486X.
  • Bader, U.; Gelander, T.; Monod, N. (27 October 2011). "A fixed point theorem for L 1 spaces". Inventiones mathematicae. 189 (1). Springer Science and Business Media LLC: 143–148. doi:10.1007/s00222-011-0363-2. ISSN 0020-9910.
  • Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolav, Nikolay; Raimbault, Jean; Samet, Iddo (1 May 2017). "On the growth of $L^2$-invariants for sequences of lattices in Lie groups". Annals of Mathematics. 185 (3). Annals of Mathematics. doi:10.4007/annals.2017.185.3.1. ISSN 0003-486X.
  • Gelander, Tsachik (2019). A VIEW ON INVARIANT RANDOM SUBGROUPS AND LATTICES. WORLD SCIENTIFIC. doi:10.1142/9789813272880_0099.

References

  1. ^ https://www.weizmann.ac.il/math/Gelander/ Gelander's homepage
  2. ^ Tsachik Gelander at the Mathematics Genealogy Project
  3. ^ "The Haim Nessyahu Prize in Mathematics", MacTutor History of Mathematics Archive, retrieved 2020-07-20
  4. ^ Mathematics: Mapping a fixed point EPFL
  5. ^ Asymptotic invariants of locally symmetric spaces – Tsachik Gelander – ICM2018
  6. ^ ERC Advanced Grants 2021 - List of Principal Investigators
  7. ^ ERC Advanced 2021 : projets lauréats
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