Aizenbud Avraham Rami

Research output

Research output per year 2012 2012 2015 2016 2018 2022 2024 2024

• 30 Article
• 1 Comment/debate

Research output per year

Research output per year

Search results

• 2024

  Bounds on multiplicities of symmetric pairs of finite groups

  Aizenbud, A. & Avni, N., 9 Sep 2024, In: Forum of Mathematics, Sigma. 12, e73.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  Open Access

• Finite Multiplicities Beyond Spherical Spaces

  Aizenbud, A. & Gourevitch, D., 1 Apr 2024, In: International Mathematics Research Notices. 2024, 7, p. 5894-5922 29 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  • Multiplicity 100%
  • Sphericity 59%
  • Reductive Group 45%
  • Algebraic Groups 43%
  • Irreducible Representation 39%

• Irreducibility of Wave-Front Sets for Depth Zero Cuspidal Representations

  Aizenbud, A., Gourevitch, D. & Sayag, E., 1 Jan 2024, In: Journal of Lie Theory. 34, 3, p. 503-510 8 p.

  Weizmann Institute of Science, Ben-Gurion University of the Negev

  Research output: Contribution to journal › Article › peer-review

• Relative Frobenius formula

  Aizenbud, A., Avni, N. & Krauz, Y., 28 Jun 2024, In: Journal of Algebra and its Applications. 11 p., 2550301.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

• Symplectic complexity of reductive group actions

  Aizenbud, A. & Gourevitch, D., 16 Mar 2024, (Published Online) In: Indagationes Mathematicae.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  • Reductive Group 100%
  • Group Action 93%
  • Algebraic Groups 31%
  • Representation Theory 30%
  • Cone 24%
• 2023

  McKay trees

  Aizenbud, A. & Entova-Aizenbud, I., 1 Jan 2023, In: Algebraic Combinatorics. 6, 2, p. 513-531 19 p.

  Weizmann Institute of Science, Ben-Gurion University of the Negev

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Graph in graph theory 100%
  • Bijection 59%
  • Finite Group 47%
  • Character Table 40%
  • Dynkin Diagram 40%

• Multiplicity one theorems for the generalized doubling method

  Gourevitch, D., Kaplan, E., Aizenbud, A. & Gourevitch, D., 2023, In: Journal of the European Mathematical Society. 25, 8, p. 3007-3092 86 p.

  Weizmann Institute of Science, Bar-Ilan University

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Doubling 100%
  • Multiplicity 74%
  • Theorem 37%
  • Unfolding 34%
  • Local Field 33%
• 2022

  Correction to: Homological multiplicities in representation theory of p-adic groups (Mathematische Zeitschrift, (2020), 294, 1-2, (451-469), 10.1007/s00209-019-02262-4)

  Aizenbud, A. & Sayag, E., 1 Feb 2022, In: Mathematische Zeitschrift. 300, 2, p. 2093-2098 6 p.

  Weizmann Institute of Science, Ben-Gurion University of the Negev

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • P-adic Groups 100%
  • Representation Theory 77%
  • Lemma 63%
  • Multiplicity 63%
  • Relay 17%

• Correction to: Representation growth and rational singularities of the moduli space of local systems (Inventiones mathematicae, (2016), 204, 1, (245-316), 10.1007/s00222-015-0614-8)

  Aizenbud, A., Avni, N. & Rubio, R., Mar 2022, In: Inventiones Mathematicae. 227, 3, p. 1431-1434 4 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Comment/debate › peer-review

  Open Access

  • Rational Singularities 100%
  • Local System 88%
  • Moduli Space 63%

• Pointwise surjective presentations of stacks

  Aizenbud, A. & Avni, N., 8 Aug 2022, In: Communications in Algebra. 50, 12, p. 5113-5131 19 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  • Presentation 100%
  • Finite Type 81%
  • Algebraic Stacks 59%
  • Real Closed Fields 52%
  • Ring 51%
• 2020

  Homological multiplicities in representation theory of p-adic groups

  Aizenbud, A. & Sayag, E., 1 Feb 2020, In: Mathematische Zeitschrift. 294, 1-2, p. 451-469 19 p.

  Weizmann Institute of Science, Ben-Gurion University of the Negev

  Research output: Contribution to journal › Article › peer-review

  • P-adic Groups 100%
  • Representation Theory 77%
  • Spherical Varieties 73%
  • Multiplicity 63%
  • Pi 32%

• Wave front holonomicity of-class distributions on non-Archimedean local fields

  Aizenbud, A. & Cluckers, R., 30 Jun 2020, In: Forum of Mathematics, Sigma. 8, 35 p., 35.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Wave Front 100%
  • Local Field 93%
  • wave fronts 91%
  • Israel 33%
  • Fourier transform 27%
• 2019

  Bounds on multiplicities of spherical spaces over finite fields

  Aizenbud, A. & Avni, N., Sep 2019, In: Journal of Pure and Applied Algebra. 223, 9, p. 3859-3868 10 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  • Group Scheme 100%
  • Reductive Group 88%
  • Galois field 67%
  • Multiplicity 65%
  • Explicit Bounds 46%
• 2018

  Autoequivalences of the category of schemes

  Aizenbud, A. & Gal, A., 15 May 2018, In: Journal of Algebra. 502, p. 497-505 9 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Finite Type 100%

• COUNTING POINTS OF SCHEMES OVER FINITE RINGS AND COUNTING REPRESENTATIONS OF ARITHMETIC LATTICES

  Aizenbud, A. & Avni, N., 1 Oct 2018, In: Duke Mathematical Journal. 167, 14, p. 2721-2743 23 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  • Finite Rings 100%
  • Counting 72%
  • Count 36%
  • n-dimensional 34%
  • Isomorphism 33%

• Invariant generalized functions supported on an orbit

  Aizenbud, A. & Gourevitch, D., Apr 2018, In: Israel Journal of Mathematics. 225, 1, p. 411-426 16 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  • Generalized Functions 100%
  • Generating Function 86%
  • Orbit 78%
  • Algebraic Stacks 76%
  • Invariant 57%
• 2016

  Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture

  Aizenbud, A., Gourevitch, D., Krötz, B. & Liu, G., 1 Aug 2016, In: Mathematische Zeitschrift. 283, 3-4, p. 979-992 14 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  • Schwartz Space 100%
  • Homology 65%
  • Lie Algebra 57%
  • Automatic Continuity 52%
  • Subgroup 49%

• Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (vol 283, pg 979, 2016)

  Aizenbud, A., Gourevitch, D., Kroetz, B. & Liu, G., Aug 2016, In: Mathematische Zeitschrift. 283, 3-4, p. 993-994 2 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

• Holonomicity of relative characters and applications to multiplicity bounds for spherical pairs

  Aizenbud, A., Gourevitch, D. & Minchenko, A., Oct 2016, In: Selecta Mathematica-New Series. 22, 4, p. 2325-2345 21 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  • Multiplicity 100%
  • Character 96%
  • Deduce 41%
  • analytic functions 33%
  • Imply 31%

• Representation growth and rational singularities of the moduli space of local systems

  Aizenbud, A. & Avni, N., 1 Apr 2016, In: Inventiones Mathematicae. 204, 1, p. 245-316 72 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  • Rational Singularities 100%
  • Local System 88%
  • Moduli Space 63%
  • Asymptotic Representation 10%
  • Semisimple Groups 10%
• 2015

  Derivatives for smooth representations of GL(n, ℝ) and GL(n, ℂ)

  Aizenbud, A., Gourevitch, D. & Sahi, S., Feb 2015, In: Israel Journal of Mathematics. 206, 1, p. 1-38 38 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  • Derivative 100%
  • Unitary Representation 75%
  • Exactness 27%
  • Monomial 22%
  • P-adic 22%

• The wave front set of the Fourier transform of algebraic measures

  Aizenbud, A. & Drinfeld, V., 27 Apr 2015, In: Israel Journal of Mathematics. 207, 2, p. 527-580 54 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Wave Front 100%
  • Fourier transform 75%
  • Open set 40%
  • Resolution of Singularities 28%
  • Desingularization 28%

• Twisted homology for the mirabolic nilradical

  Aizenbud, A., Gourevitch, D. & Sahi, S., Feb 2015, In: Israel Journal of Mathematics. 206, 1, p. 39-88 50 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Homology 100%
  • Unitary Representation 73%
  • Derivative 69%
  • Functor 58%
  • Exactness 52%

• Vanishing of Certain Equivariant Distributions on p-Adic Spherical Spaces, and Nonvanishing of Spherical Bessel Functions

  Aizenbud, A., Gourevitch, D. & Kemarsky, A., 2015, In: International Mathematics Research Notices. 2015, 18, p. 8471-8483 13 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Spherical Functions 100%
  • Wave Front 93%
  • Galois 85%
  • Bessel Functions 85%
  • P-adic 78%

• Vanishing of certain equivariant distributions on spherical spaces

  Aizenbud, A. & Gourevitch, D., Apr 2015, In: Mathematische Zeitschrift. 279, 3-4, p. 745-751 7 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  • Equivariant 100%
  • Multiplicity 57%
  • Spherical Varieties 55%
  • Subgroup 47%
  • Spherical Functions 43%

• z-Finite distributions on p-adic groups

  Aizenbud, A., Gourevitch, D. & Sayag, E., 5 Nov 2015, In: Advances in Mathematics. 285, p. 1376-1414 39 p.

  Weizmann Institute of Science, Ben-Gurion University of the Negev

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • P-adic Groups 100%
  • Character 30%
  • Equivariance 18%
  • Subgroup 17%
  • Invariant Distribution 16%
• 2013

  Smooth transfer of kloosterman integrals (the archimedean case)

  Aizenbud, A. & Gourevitch, D., Feb 2013, In: American Journal of Mathematics. 135, 1, p. 143-182 40 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Hermitian form 100%
  • Trace Formula 88%
  • Maximal Subgroup 42%
  • Unitary group 40%
  • Smooth function 35%
• 2012

  Disjoint pairs for GLn(R) and GLn(C)

  Aizenbud, A., Offen, O. & Sayag, E., 1 Jan 2012, In: Comptes Rendus Mathematique. 350, 1-2, p. 9-11 3 p.

  Technion - Israel Institute of Technology

  Research output: Contribution to journal › Article › peer-review

  • Disjoint 100%

• Invariant distributions on non-distinguished nilpotent orbits with application to the gelfand property of (GL _2n(ℝ), Sp _2n(ℝ))

  Aizenbud, A. & Sayag, E., 6 Feb 2012, In: Journal of Lie Theory. 22, 1, p. 137-153 17 p.

  Ben-Gurion University of the Negev

  Research output: Contribution to journal › Article › peer-review

  • Nilpotent Orbits 100%
  • Invariant Distribution 91%
  • Gelfand Pairs 72%
  • Symmetric Spaces 50%
  • P-adic Fields 29%

• Multiplicity free jacquet modules

  Aizenbud, A. & Gourevitch, D., Dec 2012, In: Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques. 55, 4, p. 673-688 16 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Functor 100%
  • Multiplicity 91%
  • Module 76%
  • Subgroup 30%
  • Parabolic Subgroup 27%

• Spherical pairs over close local fields

  Aizenbud, A., Avni, N. & Gourevitch, D., 2012, In: Commentarii Mathematici Helvetici. 87, 4, p. 929-962 34 p.

  Weizmann Institute of Science

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Local Field 100%
  • Gelfand Pairs 89%
  • Harmonic Analysis 66%
  • Hecke Algebra 35%
  • Positive Characteristic 33%