The Ohio State University
Number Theory Seminar

10/23/2017 - Keshav Aggarwal (OSU) - Hybrid subconvex bound for certain Hecke character L-functions (abstract)

Mondays 4:15pm
MW 154
(building photo)

Availability

    If you would like to give a talk at the OSU Number Theory Seminar, please send an e-mail to Ghaith Hiary hiary.1 (at) math.osu.edu or Roman Holowinsky holowinsky.1 (at) math.osu.edu, or to any of the organizers, for possible scheduling.
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Availability Calendar
Organizers

Jim Cogdell
David Goss
Ghaith Hiary
Roman Holowinsky
Wenzhi Luo
Warren Sinnott
Scheduled Talks

  • 10/23/2017 - Keshav Aggarwal (OSU) - Hybrid subconvex bound for certain Hecke character L-functions (abstract)

    Let $\psi$ be a Hecke chacter. Kaufman (1979) and Sohne (1996) proved a $t$-aspect subconvex bound for $L(s,\psi)$, while recently Michel-Venkatesh (2010) proved a uniform subconvex bound in all aspects. Wu (2016) followed Michel-Venkatesh to prove a conditional Burgess bound in conductor aspect. We follow recent methods developed by Munshi to prove a Weyl bound in $t$-aspect for Hecke character L-functions of imaginary quadratic fields, and a hybrid bound in conductor aspect as strong as the Weyl bound.
  • 11/13/2017 - Claire Burrin (Rutgers) - TBA (abstract)
  • 11/20/2017 - Bob Hough (Stony Brook) - The shape of cubic and quartic fields (abstract)
  • 11/27/2017 - Yeongseong Jo (OSU) - TBA (abstract)
  • 03/19/2018 - Andrew Obus (UVA) - TBA (abstract)
2017-2018
  • 10/16/2017 - Yongxiao Lin (OSU) - Bounds for twists of $\rm GL(3)$ $L$-functions (abstract)
  • 10/09/2017 - Shenhui Liu (University of Toronto) - Central L-values of Maass wave forms (abstract)
  • 10/02/2017 - Roman Holowinsky (OSU) - Subconvexity for twists of automorphic L-functions without the delta method (abstract)
2016-2017
  • 06/01/2017 (Thursday 12.40pm in MW154) - Paul Nelson (ETH Zurich) - Subconvex equidistribution of cusp forms (abstract)
  • 04/24/2017 - Baiying Liu (Purdue) - On the local converse theorem for GL$_n$ (abstract)
  • 04/17/2017 - Bao V. Le Hung (U Chicago) - Congruences between automorphic forms (abstract)
  • 04/03/2017 - Liyang Zhang (Yale University) - Quantum Unique Ergodicity of Degenerate Eisenstein Series on GL(n) (abstract)
  • 03/06/2017 - Kęstutis Česnavičius (UC Berkeley) - The Manin constant in the semistable case (abstract)
  • 02/27/2017 - Jay Jorgenson (CCNY) - Modular Dedekind symbols associated to Fuchsian groups and higher-order Eisenstein series (abstract)
  • 02/20/2017 - Chen Wan (UMN) - Multiplicity one theorem for the Ginzburg-Rallis model (abstract)
  • 02/13/2017 - Ralf Schmidt (Univ. of Oklahoma) - The paramodular conjecture and the representation theory of GSp(4) (abstract)
  • 01/30/2017 - Brad Rodgers (Univ. Michigan) - Sums in short intervals and decompositions of arithmetic functions (abstract)
  • 01/23/2017 - Eric Katz (OSU) - Tropical geometry and torsion point bounds (abstract)
  • 10/10/2016 - Shenhui Liu (OSU) - Central L-derivative values of automorphic forms (abstract)
  • 09/26/2016 - Joseph Vandehey (OSU) - When multiplying by $2$ is a hard thing to do (abstract)
2015-2016
  • 04/25/2016 - Riad Masri (Texas A&M) - Singular moduli and the distribution of partition ranks (abstract)
  • 04/18/2016 - Jonathan Bober (Bristol) - Computing modular forms (abstract)
  • 04/14/2016 (Thursday 4.30pm in MW154) - Hongze Li (Shanghai Jiao Tong University) - Small gaps between the Piatetski-Shapiro primes (abstract)
  • 04/04/2016 - Pankaj Vishe (Durham) - Hasse principle for higher degree hypersurfaces (abstract)
  • 03/28/2016 - Jack Buttcane (SUNY) - The Kuznetsov formula on GL(3) (abstract)
  • 03/23/2016 (Wednesday 4.30pm in MW154)- Leo Goldmakher (Williams) - Characters and their nonresidues (abstract)
  • 03/07/2016 - Aaron Pollack (Stanford) - The Spin $L$-function on GSp$(6)$ (abstract)
  • 02/22/2016 - Padmavathi Srinivasan (MIT) - Conductors and minimal discriminants of hyperelliptic curves with rational Weierstrass points (abstract)
  • 02/15/2016 - Sheng-Chi Liu (WSU) - The distribution of integral points on homogeneous varieties (abstract)
  • 01/25/2016 - Scott Ahlgren (UIUC) - Kloosterman sums and Maass cusp forms of half integral weight for the modular group (abstract)
  • 11/23/2015 - Ali Altuğ (Columbia University) - Arthur-Selberg trace formula and related problems (abstract)
  • 11/02/2015 - Jay Jorgenson (CCNY) - Recent results in the study of groups of moonshine-type (abstract)
  • 09/21/2015 - Ahmad El-Guindy (Texas A&M University at Qatar) - On Power Eigensystems of Drinfeld-Goss Hecke eigenforms (abstract)
2014-2015
  • 04/13/2015 - Baiying Liu (Utah) - On cuspidality of global Arthur packets of quasi-split classical groups (abstract)
  • 03/30/2015 - Kate Petersen (FSU) - Equidistribution of Norm 1 elements in Number Fields (abstract)
  • 03/24/2015 (Tuesday 4.30pm in CH240) - Guangshi Lü (Shandong University) - Average behaviour of certain arithmetic functions (abstract)
  • 03/23/2015 - Nigel Pitt (Maine) - A cuspidal analogue of Titchmarsh's divisor problem (abstract)
  • 03/09/2015 - Paul Pollack (UGA) - Two analytic problems on CM elliptic curves (abstract)
  • 02/09/2015 - Wissam Raji (AUB) - Unimodularity of zeros of period polynomials of Hecke Eigenforms (abstract)
  • 11/24/2014 - Dani Szpruch (Indiana) - The Langlands Shahidi method and the metaplectic exceptional representations (abstract)
  • 11/10/2014 - Ian Whitehead (UMN) - Toward a Casselman-Shalika Formula for Metaplectic Kac-Moody Groups (abstract)
  • 11/03/2014 - Eyal Kaplan (OSU) - The theta-period of a cuspidal automorphic representation of GL(n) (abstract)
  • 10/27/2014 - Matthew Young (Texas A&M) - Weyl-type hybrid subconvexity bounds for twisted L-functions and Heegner points on shrinking sets (abstract)
  • 10/20/2014 - Min Lee (Bristol) - Shifted multiple Dirichlet series and spectral moments of Rankin-Selberg L-functions (abstract)
  • 10/13/2014 - Meng Zhang (OSU) - Some improvements on Waring-Goldbach problem for fourth powers with almost equal variables (abstract)
  • 10/06/2014 - Sandro Bettin (CRM) - The twisted second moment of the Dirichlet L-functions (abstract)
2013-2014
  • 04/21/2014 - Michael Rubinstein (Waterloo) - Moments of zeta functions associated to hyperelliptic curves (abstract)
  • 04/07/2014 - Paul Bourgade (IAS and Harvard) - Strong Szegö's theorem for $L$ functions (abstract)
  • 03/31/2014 - Adam Harper (Cambridge) - Sharp bounds for moments of the Riemann zeta function (abstract)
  • 03/24/2014 - Steven J Miller (Williams College) - Closed-form moments in elliptic curve families and low-lying zeros (abstract)
  • 03/17/2014 - Tim Browning (Bristol) - The arithmetic of large-dimensional varieties is easy (abstract)
  • 02/24/2014 - Djordje Milićević (Bryn Mawr) - Sub-Weyl subconvexity and short p-adic exponential sums (abstract)
  • 02/17/2014 - Micah Milinovich (Ole Miss) - Estimates for the zeros of the Riemann zeta-function via Fourier analysis (abstract)
  • 02/10/2014 - Maksym Radziwill (IAS) - Some recent interactions between sieves and L-functions (abstract)
  • 02/03/2014 - Joseph Vandehey (UGA) - The unexpected strength of continued fractions on the Heisenberg group (abstract)
  • 01/08/2014 - Farrell Brumley (Paris 13) - Counting cusp forms by analytic conductor (abstract)
  • 11/25/2013 - Rudy Perkins (OSU) - Interpolating evaluation characters and the Anderson generating function for the Carlitz module (abstract)
  • 11/18/2013 - Wing Chung (Jonathan) Lam (OSU) - Second moment of the central values of the symmetric square L-functions (abstract)
  • 11/04/2013 - Zhilin Ye (OSU) - The Second Moment of Rankin-Selberg L-function and Hybrid Subconvexity Bound (abstract)
  • 10/14/2013 - Ghaith Hiary (OSU) - Detecting squarefree numbers (abstract)
  • 10/07/2013 - Zhi Qi (OSU) - Hybrid subconvexity bound of $L(1/2, Sym^2 f \times g)$ (abstract)
  • 09/23/2013 - Fan Zhou (OSU) - Sato-Tate Equidistribution of Satake Parameters of Maass Forms on PGL(N) (abstract)
2012-2013
  • 04/23/2013 - Guillaume Ricotta (Bordeaux) - Fourier coefficients of GL(3) automorphic forms in arithmetic progressions (abstract)
  • 04/08/2013 - Craig Franze (OSU) - An asymptotic expansion related to the Dickman function. (abstract)
  • 04/01/2013 - Joachim Schwermer (Vienna) - On Lefschetz numbers and arithmetically defined hyperbolic 3-manifolds. (abstract)
  • 02/25/2013 - Bruce Berndt (UIUC) - Unpublished Manuscripts Published with Ramanujan's Lost Notebook. (abstract)
  • 02/04/2013 - Youness Lamzouri (York U) - Large Character Sums. (abstract)
  • 01/14/2013 - Dimitris Koukoulopoulos (Montreal) - When the sieve works. (abstract)
  • 12/03/2012 - Ghaith Hiary (Bristol) - Computing Dirichlet $L$-functions. (abstract)
  • 11/19/2012 - Kevin Ford (UIUC) - Sets $S$ of primes with $p$ in $S$ and $q|(p-1)$ implying $q$ in $S$. (abstract)
  • 10/22/2012 - Micah Milinovich (Ole Miss) - Simple zeros of L-functions of modular forms. (abstract)
  • 10/01/2012 - Tim All (OSU) - On p-adic annihilators of real ideal classes. (abstract)
  • 09/24/2012 - David Goss (OSU) - From Carlitz's module to Euler's Gamma function. (abstract)
  • 09/17/2012 - Roman Holowinsky (OSU) - Hybrid Subconvexity Bounds for Rankin-Selberg Convolutions. (abstract)
  • 09/10/2012 - Jim Cogdell (OSU) - The local Langlands correspondence for GL(n) and the symmetric and exterior square $\varepsilon$-factors (abstract)
2011-2012
  • 05/21/2012 - Sun Kim (OSU) - Bessel function series and the circle and divisor problems. (abstract)
  • 04/30/2012 - Ben Brubaker (MIT) - Demazure operators and Iwahori Whittaker functions. (abstract)
  • 04/23/2012 - Hourong Qin (Nanjing) - The Local $L$-series of CM Elliptic Curves and Quadratic Polynomials Represent Primes. (abstract)
  • 04/16/2012 - Peng Zhao (Princeton) - The Quantum Variance of PSL(2,Z)\PSL(2,R). (abstract)
  • 03/12/2012 - Henry Kim (Toronto) - Application of the strong Artin conjecture to the class number problem. (abstract)
  • 02/09/2012 - Guillaume Ricotta (Bordeaux) - Height of Heegner points. (abstract)
  • 12/05/2011 - Nathan Conrad Jones (University of Mississippi) - An alternative view of primitivity of Dirichlet characters. (abstract)
  • 10/18/2011 (1:30 pm) - Amy DeCelles (Goshen) - Number theoretic applications of the automorphic spectral theory of higher rank groups. (abstract)
  • 10/10/2011 - Federico Pellarin (St. Etienne) - On the values of certain L-series at ``even" positive integers. (abstract)
  • 10/03/2011 - Kenneth Ward (Oklahoma State) - An asymptotic relation of class number and genus for abelian extensions of a function field. (abstract)
  • 09/19/2011 - Abhishek Saha (ETH) - Determination of modular forms by Fourier coefficients. (abstract)
2010-2011
  • 05/16/2011 - Sheng-Chi Liu (Texas A&M) - The L^2 restriction norms of Satio-Kurokawa lifts. (abstract)
  • 05/09/2011 - Solomon Friedberg (Boston College) - Eisenstein series, crystals and ice. (abstract)
  • 05/02/2011 - Ling Long (Iowa State) - Recent developments on modular forms for noncongruence subgroups. (abstract)
  • 02/28/2011 - Jeff Hoffstein (Brown) - Shifted multiple Dirichlet series and moments of L-series. (abstract)
  • 02/21/2011 - Gautam Chinta (CUNY) - Orthogonal periods of Eisenstein series. (abstract)
  • 12/03/2010 - Noam Elkies (Harvard) - On the areas of rational triangles. (abstract)
  • 11/22/2010 - Aaron Levin (Michigan State) - Runge's effective method for integral points. (abstract)
  • 11/16/2010 - Lenny Taelman (Leiden) - The Carlitz sheaf, cyclotomic function fields, and Vandiver's conjecture. (abstract)
  • 11/15/2010 - Xiaoqing Li (SUNY Buffalo) - The L^2 restriction of a GL(3) Maass form to GL(2). (abstract)
  • 11/08/2010 - Paul Nelson (Caltech) - Equidistribution of cusp forms in the level aspect. (abstract)
  • 11/01/2010 - Eddie Herman (AIM) - Beyond Endoscopy for the Asai L-function and Quadratic Base Change. (abstract)
  • 10/25/2010 - David Goss (OSU) - The class number formula of Lenny Taelman. (abstract)
  • 10/18/2010 - Jim Cogdell (OSU) - On Local L-functions. (abstract)
  • 10/11/2010 - Yangbo Ye (Iowa) - Resonance of automorphic forms for GL(2) and GL(3). (abstract)
  • 10/04/2010 - Timothy All (OSU) - Mihailescu's Theorem (formerly Catalan's conjecture); an outline of the proof. (abstract)
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