Wee Teck Gan

How to reach me

Mathematics Department
National University of Singapore
Block S17, 10 Lower Kent Ridge Road
Singapore 119076

E-mail: matgwt(AT)nus(\cdot)edu.sg
Phone: +65-6516-2739 (office)
Fax: +65-67795452

Papers and Preprints

• The metaplectic tensor product as an instance of Langlands functoriality, pdf

• Local theta correspondence of tempered representations and Langlands parameters (with H. Atobe), pdf

• On the local Langlands correspondence and Arthur conjecture for even orthogonal groups (with H. Atobe), pdf

• The Langlands-Weissman program for Brylinski-Deligne extensions (with F. Gao), pdf

• Globalization of supercuspidal representations over function fields and applications (with L. Lomeli), to appear in Journal of European Math Soc. pdf

• The Gross-Prasad conjecture and local theta correspondence (with A. Ichino), to appear in Inventiones Math. pdf

• The Howe duality conjecture: quaternionic case (with B.Y. Sun), to appear in Contemporary Math (volume in honor of R. Howe's 70th birthday). pdf

• A proof of the Howe duality conjecture (with S. Takeda), J. of American Math. Society 29 (2016), no. 2, 473-493. pdf

• On the Howe duality conjecture in classical theta correspondence (with S. Takeda), to appear in Contemporary Math. (volume in honor of J. Cogdell's 60th birthday). pdf

• Theta correspondence: recent progress and applications, Procedings of ICM (2014) Vol. 2, 343-366. pdf

• Twisted Bhargava cubes (with G. Savin), Algebra and Number Theory 8 (2014), no 8, 1913-1957. pdf

• Recent progress on the Gross-Prasad conjecture (a survey talk given at the annual meeting of VIASM, July 2013), Acta Math Vietnam 39 (2014), no. 1, 11-33. pdf

• A Langlands program for covering groups? (a talk given at the Sixth International Congress of Chinese Mathematicians, July 2013), pdf

• The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula (with Y. Qiu and S. Takeda), Inventiones Math. 198 (2014), 739-831. pdf

• The local Langlands conjecture for GSp(4) II: the case of inner forms (with W. Tantono), American J. of Math 136 (2014), no. 3, 761-805. pdf

• The local Langlands conjecture for GSp(4) III: stability and twisted endoscopy (with P. S. Chan), J. of Number Theory 146 (2015) (memorial issue for Steve Rallis), 69-133. pdf

• Arithmeticity for periods of automorphic forms (with A. Raghuram), in Automorphic Representations and L-functions", Tata Inst. Fundam. Res. Stud. Math. 22 (2013), 187-229. pdf

• On a conjecture of Sakellaridis-Venkatesh on the unitary spectrum of spherical vareities (with R. Gomez), in "Symmetry: representation theory and its applications", Progress in Math 257 (2014), Birkhauser/Springer, 185-226. pdf

• Formal degrees and local theta correspondence (with A. Ichino), Inventiones Math 195 (2014), 509-672. pdf

• The Shimura correspondence a la Waldspurger (Notes of a short course given at the Postech Theta Festival) pdf

• Representation of metaplectic groups, Fifth International Congress of Chinese Mathematicians. Part 1, 2, 155-170, AMS/IP Stud. Adv. Math., 51, pt. 1, 2, Amer. Math. Soc., Providence, RI, 2012 pdf

• Doubling zeta integrals and local factors for metaplectic groups, Nagoya Math. Journal 208 (2012), 67-95 (a volume in memory of Hiroshi Saito) pdf

• Representations of metaplectic groups II: Hecke algebra correspondences (with G. Savin), Represent. Theory 16 (2012), 513-539 pdf

• Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence (with G. Savin), Compositio Mathematica, volume 148, issue 06, pp. 1655-1694 pdf

• Restriction of representations of classical groups: examples (with B. H. Gross and D. Prasad), Asterisque 346, 111-170. pdf

• Symplectic local root numbers, central critical L-values and restriction problems in the representation theory of classical groups (with B. H. Gross and D. Prasad), Asterisque 346, 1-110. pdf

• Bessel and Fourier-Jacobi Models of the Weil Representation, in preparation.

• A regularized Siegel-Weil formula for exceptional groups, in Arithmetic geometry and automorphic forms, 155-185 (a volume in honor of Steve Kudla),2, Adv. Lect. Math. (ALM), 19, Int. Press, Somerville, MA, 2011 pdf

• On endoscopy and the refined Gross-Prasad conjecture for (SO_5,,SO_4) (with A. Ichino), J. Inst. Math. Jussieu 10 (2011), no. 2, 235-324 pdf

• The regularized Siegel-Weil formula: second term identity and non-vanishiing of theta lifts from orthogonal groups (with S. Takeda), J. Reine Angew. Math. 659 (2011), 175-244. pdf

• Theta Correspondences for GSp(4) (with S. Takeda), Represent. Theory 15 (2011), 670–718. pdf

• The local Langlands conjecture for GSp(4) (with S. Takeda), Ann. of Math. (2) 173 (2011), no. 3, 1841-1882 pdf

• The local Langlands conjecture for Sp(4) (with S. Takeda), Int. Math. Res. Not. IMRN 2010, no. 15, 2987-3038. pdf

• On Shalika periods and a theorem of Jacquet-Martin (with S. Takeda), American J. of Math. 132 (2010), 475-528, pdf

• Trilinear forms and triple product epsilon factor, International Mathematics Research Notices 2008 2008: rnn058-15, pdf

• Restrictions of Saito-Kurokawa representations (with N. Gurevich), With an appendix by Gordan Savin. Contemp. Math., 488, Automorphic forms and L-functions I. Global aspects, 95–124, Amer. Math. Soc., Providence, RI, 2009. pdf

• CAP representations of G_2 and the Spin L-function of PGSp_6 (with N. Gurevich), Israel J. Math. 170 (2009), 1–52. pdf

• A Siegel-Weil formula for automorphic characters: cubic variation of a theme of Snitz, J. Reine Angew. Math. 625 (2008), 155-185. 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, in Eisenstein series and applications, 87–123, Progr. Math., 258, Birkhäuser Boston, Boston, MA, 2008. 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. pdf

• 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

• Integral embeddings of cubic norm structures (with B. H. Gross), J. Algebra 233 (2000), no. 1, 363--397. pdf

• Commutative subrings of certain non-associative rings (with B. H. Gross), Math. Ann. 314 (1999), no. 2, 265--283. pdf

• An automorphic theta module for quaternionic exceptional groups. Canad. J. Math. 52 (2000), no. 4, 737--756. pdf

• The dual pair $G\sb 2\times {\rm PU}\sb 3(D)$ ($p$-adic case) (with G. Savin), Canad. J. Math. 51 (1999), no. 1, 130--146. pdf

• Exceptional Howe correspondences over finite fields. Compositio Math. 118 (1999), no. 3, 323--344. pdf

• Haar measure and the Artin conductor (with B. H. Gross), Trans. Amer. Math. Soc. 351 (1999), no. 4, 1691--1704. pdf

• A note on Kottwitz's invariant $e(G)$. J. Algebra 208 (1998), no. 1, 372--377. pdf

• Modular forms of level $p$ on the exceptional tube domain (with H. Y. Loke), J. Ramanujan Math. Soc. 12 (1997), no. 2, 161--202. pdf

Talks and Course Notes

• Slides of a short course on automorphic forms given in Hangzhou, China (Summer 2004). They may contain some minor inaccuracies which I'm too lazy to correct right now.

• Slides of two lectures on Tate's thesis and Automorphic L-functions given in Seville (Oct 2009)

• Slides of a colloquium talk on the local Langlands correspondence given at Univ. of Michigan (Dec 2009)

• Slides of a talk on the Gross-Prasad conjecture given at Chinese University of Hong Kong (Sept 2010)

• Slides of talk at the ICM satellite conference (Goa, Aug 2010) and the ICCM

• Notes of a representation theory course given in Princeton (not completed. I'll work on it if I get to teach a similar course again)