My fields of research are Harmonic analysis, representation theory of real and p-adic groups and the theory of automorphic forms.
I am interested in geometry of spherical spaces and in the theory of distributions.
I also very much interested in elementary number theory.

List of Publications

Work in Progress

  • On two Gelfand pairs . (joint with A. Aizenbud and O. Offen.)
  • Distinguished Ladder representations. (joint with A. Mitra and O. Offen)

    Preprints

  • On Cohen - Macauly Properties of spherical varities (joint with A. Aizenbud)

    Papers Submitted for publication

  • The Harmonic Analysis of the Lattice counting problem on Spherical Spaces . (joint with B. Kroetz and H. Schlichtkrull).
  • Z-finite distributions on p-adic groups Joint with A. Aizenbud, D. Gourevitch
  • Volume growth , temperdness and integrability of matrix coefficients on a real sperical space, Joint with F. Knop, B. Kroetz and H. Schlichtkrull
  • Vanishing at Infinity on homogeneous spaces of reductive type. Joint with B. Kroetz and H. Schlichtkrull

    Papers Published or Accepted for publication

  • Simple compactifications and polar decomposition of homogeneous real spherical spaces. , accepted for publication in Selecta Mathematica, Joint with F. Knop, B. Kroetz and H. Schlichtkrull
  • Invariant functionals on Speh representations, accepted for publication in Transformation Groups (joint with D. Gourevitch and S. Sahi)
  • Decay of matrix coefficients on reductive homogeneous spaces of spherical type. Joint with B. Kroetz and H. Schlichtkrull , Math Z., to appear.
  • Descent Construction for Spinor groups, to appear in the memoir of the AMS , 81pp (joint with J. Hundley)
  • Disjoint Gelfand pairs for GL(n,R) and GL(n,C) C.R. Acad. Sci. 2012, (joint with A. Aizenbud, O. Offen)
  • Existence of Klyachko models for GL(n,R) and GL(n,C) Journal of Functional Analysis ,2012 (joint with D. Gourevitch, O. Offen and S. Sahi)
  • Invariant distributions on non-distinguished nilpotent orbits with applications to the Gelfand property of (GL(2n,R),Sp(2n,R)), 2012 J. of Lie theory (joint with A. Aizenbud)
  • Descent Construction for GSpinor groups: Main results and applications , Electronic Research Announcements in Mathematical Sciences (joint with J. Hundley)
  • The SL(2) type and base Change , Representation Theory 2009 (joint with O. Offen)
  • Localization Principle , Duke Journal (Appendix D is Joint with A. Aizenbud and D. Gourevitch)
  • (GL(n),GL(n-1)) is a Gelfand pair , Compositio Mathematica 2008 (joint with A. Aizenbud and D. Gourevitch)
  • (O(n),O(n-1)) is a Gelfand pair , Math. Z. 2008, (joint with A. Aizenbud and D. Gourevitch)
  • On Uniqueness and disjointness of Klyachko models Journal of Functional Analysis 2008, (joint with Omer Offen)
  • Global mixed periods and local Klyachko models for the general linear group Internation Mathematical Research Notices 2007, (joint with Omer Offen)
  • On Unitary Representation of GL(2n) Distinguished by the Symplectic group Journal Number theory 2007 (joint with Omer Offen)
  • Finite word length effects on transmission rate in zero forcing linear precoding for multichannel DSL. IEEE Trans. on Signal Processing, April 2009 (joint with Amir Leshem, Nicholas D. Sidiropoulos)
  • Fixed point error analysis of linear multichannel precoding for VDSL. ICASSP 2008 (joint with Amir Leshem, Nicholas D. Sidiropoulos)

    Drafts

  • Decay on Homogeneous Spaces of Reductive type , 69pp (joint with Bernhard Krotz, Henrik Schlichtkrull )
  • Descent Construction for Spinor groups - even case ,(joint with J. Hundley)
  • Descent Construction for Spinor groups - odd case ,(joint with J. Hundley)
  • (GL(2n,C),Sp(2n,C)) is a Gelfand pair
  • Construction of certain small automorphic representations for SO(2m,A), (joint with D. Ginzburg)
  • Invariant measures on homogeneous spaces, with applications to function spaces and lattice counting , (joint with Bernhard Krotz, Henrik Schlichtkrull )
  • A generalization of Harish-Chandra Regularity theorem expanded version of Phd. Thesis
  • CAP representations of SO(4,1)(A) expanded version of MSc. Thesis

    • Phd. Thesis (under J. Bernstein)

  • A generalization of Harish-Chandra Regularity theorem Phd. Thesis, 2003.

    • MSc. Thesis (under D. Soudry)

  • CAP representations of SO(4,1)(A) MSc. Thesis, 1996