Amir Mohammadi

How to reach me

• Paper mail:
  Department of Mathematics
  The University of Texas at Austin
  2515 Speedway, RLM 8.100
  Austin, TX 78712
  USA
  
  
• Office: RLM 12.160
  
• E-mail: amir@math.utexas.edu
  
• Phone: (512) 471-8186 (Office)
  
• Fax: (512) 471-9038
  

Preprints and publications

• Measure rigidity for the action of semisimple groups in positive characteristic. pdf, (with A. Salehi Golsefidy) Preprint.
  
  
• Isolation, equidistribution, and orbit closures for the SL(2,R) action on Moduli space. pdf, (with A. Eskin and M. Mirzakhani) Preprint, Preliminary version.
  
  
• Matrix coefficients and effective counting for geometrically finite groups. pdf, (with H. Oh). Preprint.
  
  
• On ergodic properties of the Burger-Roblin measure. pdf, Proceedings of MSRI, to appear.
  
  
• Ergodicity of unipotent flows and Kleinian groups. pdf, (with H. Oh). Preprint.
  
  
• Logarithm laws for one parameter unipotent flows. pdf, (with D. Kelmer). Geom. and Func. Anal., to appear.
  
  
• On presentations of integer polynomial points of simple groups over number fields. pdf, (with K. Wortman). Geometriae Dedicata, to appear.
  
  
• A special case of effective equidistribution with explicit constants. pdf, Ergodic Theory Dynam. Systems, 32 (2012), no. 1, 237--247.
  
  
• Measures invariant under horospherical subgroups in positive characteristic. pdf, J. Mod. Dynamics, 5 (2011), no. 2, 237--254.
  
  
• The extremal symmetry of arithmetic simplicial complexes. pdf, (with B. Farb). Advances in Math., to appear.
  
  
• Quantitative version of the Oppenheim conjecture for inhomogeneous quadratic forms. pdf, (with G. A. Margulis). Duke Math. J., 158 (2011), no. 1, 121--160.
  
  
• A joining classification and special case of Raghunathan's conjecture in positive characteristic. pdf, (with M. Einsideler, with an appendix by K. Wortman). J. D'Analyse Math., to appear.
  
  
• Discrete transitive actions on vertices of Bruhat-Tits buildings. pdf, (with A. Salehi Golsefidy). Duke Math. J. 161 (2012), no. 1, 483--544.
  
  
• Translates of horospherical measures and counting problems. pdf, (with A. Salehi Golsefidy). Preprint.
  
  
• Unipotent flows and isotropic quadratic forms in positive characteristic. pdf. Int. Math. Res. Notices, (2011), no. 20, 4535--4554
  
  
• Simultaneous Diophantine approximation on non-degenerate p-adic manifolds. pdf (with A. Salehi Golsefidy). Israel J. Math., to appear.
  
  
• S-Arithmetic Khintchine type theorem pdf (with A. Salehi Golsefidy). Geom. and Func. Anal., 19 (2009), no. 4, 1147--1170.
  
  
• SL(n,Z[t]) is not FP_n-1. pdf (with K. U. Bux and K.Wortman). Comm. Math. Helv., 85 (2010), no. 1, 151--164.
  
  

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  Amir Mohammadi ( amir@math.utexas.edu)