Teaching

• Fall 2003: Math109: Mathematical Reasoning

• Winter 2004: Math20C: Calculus and Analytic Geometry

• Fall 2004: Math103A: Applied Modern Algebra

• Winter 2005: Math207B: Elliptic Curves and Modular Forms

• Spring 2006: Math104A: Number Theory and Math200C: (Graduate) Algebra
• Fall 2006: Math104A: Number Theory and Math251A: Lie Groups

• Winter 2007: Math251B: Lie Groups

• Spring 2007: Math205: L-functions and Modular Forms

• Fall 2007: Math20D: Ordinary Differential Equations and Math 204: Algebraic Number Theory

• winter and Spring 2008: Math203: Algebraic Geometry

Representation Theory Seminar

schedule

Recent Papers and Preprints

• Trilinear forms and triple product epsilon factor, pdf , International Mathematics Research Notices 2008 2008: rnn058-15
  
  
• Formal degrees and local theta correspondence (with W. Tantono), in preparation
  
  
• The local Langlands conjecture for GSp(4) II: the case of inner forms (with W. Tantono), in preparation
  
  
• The regularized Siegel-Weil formula: second term identity and non-vanishiing of theta lifts from orthogonal groups (with S. Takeda),
  
  
• The local Langlands conjecture for GSp(4) (with S. Takeda), pdf
  
  
• The local Langlands conjecture for Sp(4) (with S. Takeda), pdf
  
  
  
• On Shalika periods and a conjecture of Jacquet-Martin (with S. Takeda), pdf
  
  
• Restrictions of Saito-Kurokawa representations (with N. Gurevich), to appear in proceedings of Gelbart's 60th birthday conference. pdf
  
  
• CAP representations of G_2 and the Spin L-function of PGSp_6 (with N. Gurevich), to appear in Israel J. of Math. pdf
  
  
• A regularized Siegel-Weil formula for exceptional groups, in preparation.
  
  
• A Siegel-Weil formula for automorphic characters: cubic variation of a theme of Snitz, to appear in Crelle. pdf
  
  
• The Spin L-function of quasi-split D_4 (with J. Hundley), in International Math Research Papers Vol. 2006 (Article ID 68213), 1-74.. pdf
  
  
• The Saito-Kurokawa space of $PGSp_4$ and its transfer to inner forms, to appear in the proceedings of the AIM workshop "Eisenstein Series and Applications" (Palo Alto, Aug 2005). pdf
  
  
• Non-tempered Arthur packets of $G_2$: liftings from $\tilde{SL}_2$ (with N. Gurevich), American Journal of Math 128, No. 5 (2006), 1105-1185. pdf
  
  
• The Rallis-Schiffmann lifting and Arthur packets of $G_2$ (with N. Gurevich, an announcement of the results of the above long paper), Quarterly Journal of Pure and Applied Math Vol 1, No 1 (2005), 109-126. pdf
  
  
• Multiplicity formula for cubic unipotent Arthur packets, Duke Math Journal 130, no. 2 (2005), 297-320. pdf
  
  
• The mass of unimodular lattices (with M. Belolipetsky), J. of Number Theory 114 (2005),221-237. pdf
  
  
• Non-tempered Arthur packets of $G_2$ (with N. Gurevich), in proceedings of Rallis' 60th birthday conference: "Automorphic Representations, L-functions and Applications:Progress and Prospects", 129-155. pdf
  
  
• Uniqueness of Joseph ideal (with G. Savin), Math. Research Letters 11 (2004), No. 5-6, 589-598. pdf
  
  
• On minimal representations: definitions and properties (with Gordan Savin), Representation Theory Vol 9 (2005), 46-93. pdf
  
  
• Real and global lifts from $PGL_3$ to $G_2$ (with G. Savin), IMRN 2003, Vol. 50 (2003). pdf
  
  
• Endoscopic lifts from $PGL_3$ to $G_2$ (with Gordan Savin), Compositio Math 140, No. 3 (2004), 793-808. pdf
  
  
• Cubic unipotent Arthur parameters and multiplicities of square-integrable automorphic forms (with N. Gurevich and D.H. Jiang), Invent. Math. 149 (2002), 225-265. pdf
  
  
• Schemas en groupes et immeubles des groupes exceptionels sur un corp locale. Deuxieme partie: les groupes $F_4$ et $E_6$ (with J.-K. Yu), Bulletin Math. Soc. France 133 (2005), no. 2, 159--197. ps
  pdf
  
• Schemas en groupes et immeubles des groupes exceptionels sur un corp locale. Premiere partie: le groupe $G_2$ (with J.-K. Yu), Bull. Math. Soc. France 131 (2003), 307-358. ps
  
  
• Equidistribution of integer points on a family of homogeeneous varieties: a problem of Linnik (with H. Oh), Compositio Math. 323 (2003), 323-352. pdf
  
  
• Fourier coefficients of modular forms on $G_2$ (with B. H. Gross and G. Savin), Duke Math. Journal 115 (2002), 105-169. ps
  
  
• On an exact mass formula of Shimura, (with J. Hanke and J.-K. Yu), Duke Math. J. 107 (2001), 101-131. pdf
  
  
• A Siegel-Weil formula for exceptional groups, Crelle 528 (2000), 149-181. pdf
  
  
• Group schemes and local densities (with J.-K. Yu), Duke Math. J. 105 (2000), 497-524. pdf
  

Course Notes