The Ohio State University
Number Theory Seminar


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 any of the organizers, for possible scheduling.
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Availability Calendar
Organizers

Jim Cogdell
David Goss
Ghaith Hiary
Roman Holowinsky
Wenzhi Luo
Jennifer Park
Warren Sinnott
Scheduled Talks
  • 10/15/2018 - Nicolae Anghel (University of North Texas) - Heron Triangles with Constant Area and Perimeter (abstract)

    The talk undertakes a very detailed, very visual, and quite elementary study of the Heron triangles of fixed area and perimeter. It circumvents the traditional approach to Heron triangles based on elliptic curves. Its key focus is on the geometry, calculus, and algebra of the associated area curve. The main result presents a simple sufficient condition for the existence of infinitely many Heron triangles with constant area and perimeter. An application to Diophantine equations is also given.
  • 10/22/2018 - Elad Zelingher (Yale) - TBA (abstract)
  • 01/14/2019 - Gene Kopp (Bristol) - TBA (abstract)
2018-2019
  • 09/17/2018 - Bill Mance (Adam Mickiewicz University) - Normal numbers with respect to the Cantor series expansions and possible applications to studying algebraic varieties (abstract)
2017-2018
  • 03/19/2018 - Andrew Obus (UVA) - Reduction of dynatomic curves: The good, the bad, and the irreducible (abstract)
  • 03/05/2018 - Qing Zhang (Sun Yat-Sen University) - Local converse theorem for unitary groups (abstract)
  • 02/26/2018 - Joseph Vandehey (OSU) - Ergodicity of geometrically complete Iwasawa continued fractions (abstract)
  • 01/29/2018 - Edmund Karasiewicz (UC Santa Cruz) - The Fourier Coefficients of a Minimal Parabolic Eisenstein Series on the Double Cover of GL(3) over Q (abstract)
  • 11/27/2017 - Yeongseong Jo (OSU) - The local exterior square L-function for GL(n) (abstract)
  • 11/20/2017 - Bob Hough (Stony Brook) - The shape of cubic and quartic fields (abstract)
  • 11/13/2017 (3pm in MW154) - Claire Burrin (Rutgers) - Dedekind sums for cofinite Fuchsian groups (abstract)
  • 10/23/2017 - Keshav Aggarwal (OSU) - Hybrid subconvex bound for certain Hecke character L-functions (abstract)
  • 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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