Research Interests

Number theory, automorphic forms, L-functions.

Teaching

• Spring 2008: Math 20200-FG, M,W 4:00-5:40, Room 4113
• Spring 2008: Math 30800-E, M,W 2:00-3:15, Room 6115
• Fall 2007: Math 31800-GH, M,W 6:00-7:40, Room NA 6328
• Spring 2007: Math 19500-EF, M,W 2:00-3:40, Room 7219
• Spring 2007: Math 32300-GH, M,W 6:00-7:40pm, Room 4113

Gautam Chinta
Publications and preprints

• (pdf) Constructing Weyl group multiple Dirichlet series, with P. Gunnells.
  Preprint.
• (pdf) Multiple Dirichlet series over rational function fields.
  To appear in Acta Arithmetica.
• (pdf) Sums of L-functions over the rational function field, with J. Mohler.
  Preprint.
• (pdf) Weyl group multiple Dirichlet series of type A_2 , with P. Gunnells.
  Preprint.
• (pdf) On the p-parts of quadratic Weyl group multiple Dirichlet series, with S. Friedberg and P. Gunnells.
  To appear in J. Reine Angew. Math.
• (pdf) Unitary periods, Hermitian forms and points on flag varieties, with O. Offen.
  Math. Ann. 339 (2007), no. 4, 891--913.
• (pdf) Weyl group multiple Dirichlet series constructed from quadratic characters, with P. Gunnells.
  Invent. Math. 167 (2007), no.2, 327-353.
• (pdf) Multiple Dirichlet series and automorphic forms, with S. Friedberg and J. Hoffstein.
  In Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory, Proc. Sympos. Pure Math., 75, Amer. Math. Soc., Providence, RI, 2006.
• (pdf) Weyl group multiple Dirichlet series I, with B. Brubaker, D. Bump, S. Friedberg, J. Hoffstein.
  In Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory, Proc. Sympos. Pure Math., 75, Amer. Math. Soc., Providence, RI, 2006.
• (pdf) Determination of a GL3 cuspform by twists of central L-values, with A. Diaconu.
  IMRN 2005 (2005), 2941-2967.
• (pdf)Asymptotics for sums of twisted L-functions and applications, with S. Friedberg and J. Hoffstein.
  In Automorphic representations, L-functions and applications: progress and prospects, 75--94, Ohio State Univ. Math. Res. Inst. Publ., 11, de Gruyter, Berlin, 2005.
• (pdf) Mean values of biquadratic zeta functions.
  Invent. Math. 160 (2005), no.1, 145-164.
• (pdf)Nonvanishing twists of GL(2) automorphic L-functions, with B. Brubaker, A. Bucur, S. Frechette and J. Hoffstein.
  IMRN (2004) no. 78, 4211-4239.
• Second order modular forms, with N. Diamantis and C. O' Sullivan.
  Acta Arith. 103 (2002), no. 3, 209--223.
• Analytic ranks of elliptic curves over cyclotomic fields.
  J. Reine Angew. Math. 544 (2002), 13--24.
• Grössencharakter L-functions of real quadratic fields twisted by modular symbols, with D. Goldfeld.
  Invent. Math. 144 (2001), no. 3, 435--449.
• Computing special values of partial zeta functions, with Paul Gunnells and Robert Sczech.
  Algorithmic number theory (Leiden, 2000), 247--256, Lecture Notes in Comput. Sci., 1838, Springer, Berlin, 2000.