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Mathematics

D-Index
55
Citations
10072
World Ranking
796
National Ranking
15

Research.com Recognitions

  • 2005 - Fellow of the American Academy of Arts and Sciences

Overview

Alexander Lubotzky is affiliated with the Weizmann Institute of Science in Israel. Their research primarily falls within the field of Mathematics, with a focus on several specialized subfields including Geometry and Topology, Mathematical Physics, Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, and Algebra and Number Theory.

The main topics covered in their work include:

  • Geometric and Algebraic Topology
  • Advanced Algebra and Geometry
  • Finite Group Theory Research
  • Algebraic Geometry and Number Theory
  • Advanced Topology and Set Theory
  • Advanced Operator Algebra Research
  • semigroups and automata theory

Lubotzky has published extensively in various academic venues. Frequently appearing publication venues include:

  • arXiv (Cornell University)
  • Israel Journal of Mathematics
  • Journal d Analyse Mathématique
  • Groups Geometry and Dynamics
  • Forum of Mathematics Sigma

Notable recent papers include:

  • "STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS", 2020, Forum of Mathematics Sigma
  • "Uncountably many permutation stable groups", 2022, Israel Journal of Mathematics
  • "Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups", 2021, Ergodic Theory and Dynamical Systems
  • "Stability and instability of lattices in semisimple groups", 2023, Journal d Analyse Mathématique
  • "Asymptotic Cohomology and Uniform Stability for Lattices in Semisimple Groups", 2023, arXiv (Cornell University)

Alexander Lubotzky has collaborated frequently with a number of researchers. Frequent coauthors include:

  • Michael Chapman
  • Irit Dinur
  • William Y. Chen
  • Pham Huu Tiep
  • Lev Glebsky

Recognition for Lubotzky's work includes being named a Fellow of the American Academy of Arts and Sciences in 2005.

Best Publications

  • Discrete Groups, Expanding Graphs and Invariant Measures

    Alexander Lubotzky

  • Varieties of Representations of Finitely Generated Groups

    Alexander Lubotzky;Andy R. Magid

  • Ramanujan graphs

    Unknown

  • Powerful p-groups. I. Finite groups

    Alexander Lubotzky;Avinoam Mann

  • Abelian and solvable subgroups of the mapping class groups

    Joan S. Birman;Alex Lubotzky;John McCarthy

  • The probability of generating a finite classical group

    William M. Kantor;Alexander Lubotzky

  • Expander graphs in pure and applied mathematics

    Alexander Lubotzky

  • Explicit expanders and the Ramanujan conjectures

    A Lubotzky;R Phillips;P Sarnak

  • Hecke operators and distributing points on the sphere I

    A. Lubotzky;R. Phillips;Peter Clive Sarnak

  • The word and Riemannian metrics on lattices of semisimple groups

    Alexander Lubotzky;Shahar Mozes;M. S. Raghunathan

  • Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds

    Larry Guth;Alexander Lubotzky

  • Cayley graphs: eigenvalues, expanders and random walks

    Alexander Lubotzky

  • Explicit constructions of Ramanujan complexes of type A d

    Alexander Lubotzky;Beth Samuels;Uzi Vishne

  • Representation growth of linear groups

    Michael D. Larsen;Alexander Lubotzky

  • Ramanujan complexes of typeà d

    Alexander Lubotzky;Beth Samuels;Uzi Vishne

  • Hecke operators and distributing points on S2. II

    A. Lubotzky;R. Phillips;P. Sarnak

  • Groups and Expanders.

    Alexander Lubotzky;Benjamin Weiss

  • Rank-1 phenomena for mapping class groups

    Benson Farb;Alexander Lubotzky;Yair Minsky

  • Subgroup growth and congruence subgroups

    Alexander Lubotzky

  • Powerful p-groups. II. p-adic analytic groups

    Alexander Lubotzky;Avinoam Mann

  • Finite Group Theory

    Alexander Lubotzky;Dan Segal

Frequent Co-Authors

Hyman Bass
Hyman Bass University of Michigan–Ann Arbor
William M. Kantor
William M. Kantor University of Oregon
Robert M. Guralnick
Robert M. Guralnick University of Southern California
Fritz Grunewald
Fritz Grunewald Heinrich Heine University Düsseldorf
David Kazhdan
David Kazhdan Hebrew University of Jerusalem
Peter Sarnak
Peter Sarnak Princeton University
Igor Pak
Igor Pak University of California, Los Angeles
Noga Alon
Noga Alon Tel Aviv University
László Babai
László Babai University of Chicago
Avi Wigderson
Avi Wigderson Institute for Advanced Study

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