The Ohio State University
Number Theory Seminar

3/18/2024 - Abbey Bourdon (Wake Forest University) - An Algorithm for Isolated $j$-invariants (abstract)

Mondays 4:00pm
MW 154
(building photo)

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Organizers

Jim Cogdell
Ghaith Hiary
Roman Holowinsky
Wenzhi Luo
Jennifer Park
Stefan Patrikis
Warren Sinnott
Scheduled Talks
  • Seminars will be a mix of in-person and remote talks, as indicated in the weekly schedule below. For the link, please email patrikis.1 at osu.edu.
  • 3/18/2024 - Abbey Bourdon (Wake Forest University) - An Algorithm for Isolated $j$-invariants (abstract)
    The modular curve $X_1(n)$ is an algebraic curve over $\mathbb{Q}$ whose non-cuspidal points parametrize isomorphism classes of pairs $(E,P)$ where $E$ is an elliptic curve and $P \in E$ is a point of exact order $n$. We wish to understand isolated points on this curve, which are roughly those not belonging to an infinite family of points of the same degree which are parametrized by a geometric object. For fixed $n$, there are only finitely many isolated points on $X_1(n)$ of any degree, but as $n$ ranges over all positive integers, there exist infinitely many isolated points (associated to infinitely many non-isomorphic elliptic curves). In this talk, I will discuss a new algorithm which can be used to determine whether an elliptic curve with rational $j$-invariant gives rise to an isolated point on some modular curve $X_1(n)$. This builds on prior work of Zywina, which gives a method for computing the image of the adelic Galois representation of a non-CM elliptic curve over $\mathbb{Q}$. Running the algorithm on all elliptic curves presently in the LMFDB and the Stein-Watkins Database gives evidence for the conjecture that $j\in \mathbb{Q}$ is the image of an isolated point if and only if $j$ corresponds to an elliptic curve with complex multiplication or $j=-140625/8, -9317,$ $351/4$, or $-162677523113838677$. This is joint work with Sachi Hashimoto, Timo Keller, Zev Klagsbrun, David Lowry-Duda, Travis Morrison, Filip Najman, and Himanshu Shukla.
  • 3/25/2024 (HAAR seminar)- Salim Taylou (Harvard) - TBD
  • 4/1/2024 - Yujie Xu (Columbia University) - On the geometry of integral models of Shimura varieties (abstract)
  • 4/8/2024 - Olivia Beckwith (Tulane University) - Imaginary quadratic fields with p-torsion-free class groups and specified split primes (abstract)
  • 4/15/2024 (Zoom) - Ross Paterson (University of Bristol) - TBD (abstract)
2023-2024
  • 2/26/2024 - John Voight (Dartmouth) - On abelian varieties whose torsion is not self-dual (abstract)
  • 1/22/2024 (HAAR seminar)- Mike Daas (Leiden) - A p-adic analogue of a formula by Gross and Zagier (Zoom)
  • 1/8/2024 (HAAR seminar)- Jerry Wang (Waterloo) - On the squarefree values of $a^4 + b^3$ (Zoom)
  • 11/27/2023 - Julian Lyczak (University of Bath) - Paucity of rational points on fibrations with multiple fibres (Zoom) (abstract)
  • 11/20/2023 - Nick Rome (TU Graz) - The arithmetic of the norm one torus (Zoom) (abstract)
  • 10/8/2023 - Shiva Chidambaram (MIT) - Computing Q-isogeny classes of principally polarized abelian surfaces. (abstract)
  • 9/25/2023 - Tyler Genao (OSU) - Uniform bounds on torsion of elliptic curves in geometric isogeny classes (abstract)
  • 9/11/2023 - Ariel Weiss (OSU) - Rank growth of elliptic curves over N-th root extensions (abstract)
  • 8/28/2023 - Alex Cowan (Harvard) - A twisted additive divisor problem (abstract)
2022-2023
  • 4/17/2023-4/19/2023 - Zassenhaus Lectures Bhargav Bhatt (IAS/Princeton) - Prismatic cohomology and applications
  • 4/13/2023-4/14/2023 - OSU Number Theory Seminar Series
  • 4/10/2023 - Tian Wang (University of Illinois at Chicago) - Effective open image theorem for a product of GSp-type abelian varieties (abstract)
    In the 1970s, Serre and Ribet proved the Open Image Theorem (OIT) for a product of non-CM, non-isogenous elliptic curves, asserting that for sufficiently large prime $\ell$, the mod-$\ell$ Galois representation is surjective in an appropriate matrix group. Since then, a lot of work has been done on the explicit bounds of the largest prime $\ell$ for which the mod-$\ell$ Galois representation is nonsurjective. A similar version of the OIT holds for a product of GSp-type abelian varieties due to the work of Serre and Hindry-Ratazzi. We will give an explicit bound of the largest nonsurjective prime $\ell$ for a product of GSp-type abelian varieties in terms of their standard invariants. This is joint work with Jacob Mayle.
  • 4/3/2023 - HAAR seminar (Nina Zubrilina)
  • 3/27/2023 - HAAR seminar (Maksym Radziwill)
  • 3/20/2023 - Jeremy Booher (University of Florida) - Lifting $G$-Valued Galois Representations when $\ell \neq p$ (Zoom) (abstract)
  • 3/6/2023 - Ashwin Iyengar (Johns Hopkins) - On local Galois deformation rings when $\ell=p$ (Zoom) (abstract)
  • 2/27/2023 - Brandon Alberts (Eastern Michigan University) - A Random Group with Local Data (in-person) (abstract)
  • 2/20/2023 - Ari Shnidman (Hebrew University) - Bielliptic Picard curves (in-person) (abstract)
  • 2/13/2023 - Pol van Hoften (Stanford) - Hecke orbits on Shimura varieties of Hodge type (abstract)
  • 11/28/2022 - Juanita Duque Rosero (Dartmouth) - Quadratic Chabauty: geometric and explicit (in-person) (abstract)
  • 11/21/2022 - Christopher Keyes (Emory) - Local solubility in families of superelliptic curves (in-person) (abstract)
  • 10/17/2022 - Naomi Sweeting (Harvard) - Kolyvagin's Conjecture and Higher Congruences of Modular Forms (in-person) (abstract)
  • 10/10/2022 - Mohamed Tawfik (King's College London) - Brauer-Manin obstruction on Kummer Surfaces (Zoom) (abstract)
  • 9/26/2022 - Kalyani Kansal (Johns Hopkins) - Intersections of irreducible components of the Emerton-Gee stack for GL_2 (Zoom) (abstract)
  • 9/19/2022 - Luochen Zhao (Johns Hopkins) - Explicit period formulas for totally real p-adic L-functions, à la Cassou-Noguès (Zoom) (abstract)
2021-2022
  • 4/25/2022 - Shantanu Agarwal (University of Iowa) - A converse theorem without root numbers (abstract)
  • 4/21/2022 (4:15pm-5:15pm, MW 154 or join by Zoom. Note unusual day!)- Andrew Kobin (Emory University) - Categorifying quadratic zeta functions (abstract)
  • 3/28/2022 - Aleksander Horawa (University of Michigan) - Motivic action on coherent cohomology of Hilbert modular varieties (abstract)
  • 1/24/2022 - Yunqing Tang (Princeton University) - The unbounded denominators conjecture (abstract)
  • 12/13/2021 - Eun Hye Lee (Stony Brook University) - Subconvexity of Shintani Zeta Functions (abstract)
  • 12/6/2021 - Lue Pan (Princeton University) - p-adic de Rham Galois representations in the completed cohomology of modular curves (abstract)
  • 11/29/2021 - Levent Alpöge (Harvard University) - Effective height bounds for odd-degree totally real points on some curves (abstract)
  • 11/22/2021 *in-person: MW154*- Sarah Arpin (University of Colorado, Boulder) - Adding Level Structure to Supersingular Elliptic Curve Isogeny Graphs (abstract)
  • 11/15/2021 - Jacob Tsimerman (University of Toronto) - Unlikely intersections and the Andre-Oort conjecture (abstract)
  • 11/8/2021 - No seminar: Danny Krashen (University of Pennsylvania) will speak in the Algebra Seminar.
  • 11/1/2021 - Félix Baril Boudreau (Western University) - Computing an L-function modulo a prime (abstract)
  • 10/26/2021, 10:15am-11:15am (note unusual day and time) - Jack Thorne (University of Cambridge) - Symmetric power functoriality for holomorphic modular forms (abstract)
  • 10/18/2021 *in-person: MW154*- Pan Yan (OSU) - $L$-function for $\text{Sp}(4)\times \text{GL}(2)$ via a non-unique model (abstract)
  • 10/11/2021 - Debanjana Kundu (University of British Columbia) - Arithmetic Statistics of Iwasawa Invariants (abstract)
  • 10/4/2021 - Ariel Weiss (Hebrew University of Jerusalem) - Prime torsion in the Tate-Shafarevich groups of abelian varieties over $\mathbb{Q}$ (abstract)
  • 9/20/2021 - Jacob Mayle (University of Illinois at Chicago) - On the effective open image theorem (abstract)
  • 9/13/2021 - Chi-Yun Hsu (UCLA) - Partial classicality of Hilbert modular forms (abstract)
2020-2021
  • 4/19/2021 - Sug Woo Shin (UC Berkeley) - On GSpin(2n)-valued automorphic Galois representations (abstract)
  • 4/5/2021 - Jiuya Wang (Duke University) - Pointwise Bound for $\ell$-torsion of Class Groups (abstract)
  • 3/22/2021 - Hyuk Jun Kweon (MIT) - Bounds on the Torsion Subgroups of Néron-Severi Group Schemes (abstract)
  • 3/1/2021 - Lynnelle Ye (Stanford University) - Properness of Hilbert modular eigenvarieties (abstract)
  • 2/22/2021 - Soumya Sankar (OSU) - Counting elliptic curves with a rational N-isogeny (abstract)
  • 2/15/2021 - Manami Roy (Fordham University) - Counting cuspidal automorphic representation of GSp(4) and its application. (abstract)
  • 2/1/2021 - Eric Stubley (University of Chicago) - Locally Split Galois Representations and Hilbert Modular Forms of Partial Weight One (abstract)
  • 1/25/2021 - Patrick Allen (McGill University) - Modularity of some PGL(2,5) representations (abstract)
  • 11/23/2020 - Caleb Springer (Penn State University) - Abelian varieties and their endomorphism rings (abstract)
  • 11/9/2020 - Guillermo Mantilla-Soler (Aalto University) - A complete invariant for real S_n number fields (abstract)
  • 11/2/2020 - Matilde Lalín (Université de Montréal) - Nonvanishing for cubic L-functions over function fields. (abstract)
  • 10/26/2020 - Naser Talebizadeh Sardari (MPIM) - Vanishing Fourier Coefficients of Hecke Eigenforms (abstract)
  • 10/19/2020 - Efthymios Sofos (University of Glasgow) - Schinzel Hypothesis with probability 1 and rational points (abstract)
  • 10/12/2020 - Shiva Chidambaram (University of Chicago) - Abelian surfaces with fixed 3-torsion (abstract)
  • 10/5/2020 - Koji Shimizu (UC Berkeley) - A p-adic monodromy theorem for de Rham local systems (abstract)
  • 9/28/2020 - Rachel Newton (University of Reading) - Evaluating the wild Brauer group (abstract)
  • 09/21/2020 - Simon Marshall (University of Wisconsin) - Counting cohomological cusp forms on GL_3 (abstract)
  • 09/14/2020 - Preston Wake (Michigan State University) - Tame derivatives and the Eisenstein ideal (abstract)
2019-2020
  • Seminars for the rest of the year cancelled due to university-wide suspension of non-essential events during coronavirus outbreak.
  • 11/25/2019 - Jiakun Pan (TAMU) - Quantum Unique Equidistribution conjecture for Eisenstein series in the level aspect (abstract)
  • 11/18/2019 - Rizwanur Khan (University of Mississippi) - Non-vanishing of Dirichlet L-functions (abstract)
  • 11/4/2019 - Michał Zydor (University of Michigan) - On the Global Gan-Gross-Prasad conjecture for unitary groups (abstract)
2018-2019
  • 06/17/2019 - (Joint seminar with ring theory) Sudesh K. Khanduja (IISER Mohali) - A walk through integrally closed domains and their applications in Number Theory (abstract)
  • 04/29/2019 - Jay Jorgenson (CCNY) - Construction of non-holomorphic Eisenstein-type series and their Kronecker limit formulas (abstract)
  • 04/17/2019 - (Wednesday 4:15--5:15, Joint seminar with representation theory) Joachim Schwermer (Universität Wien) - On the general linear group over arithmetic orders, related automorphic representations and corresponding cohomology groups (abstract)
  • 04/15/2019 - Alia Hamieh (University of Northern British Columbia) - Value-Distribution of Cubic Hecke $L$-functions (abstract)
  • 02/25/2019 - Harald Helfgott (Gottingen and CNRS) - Summing $\mu(n)$: a better elementary algorithm (abstract)
  • 01/28/2019 - Lola Thompson (Oberlin) - Counting quaternion algebras with applications to spectral geometry (abstract)
  • 01/14/2019 - Gene Kopp (Bristol) - From Hilbert's 12th problem to complex equiangular lines (abstract)
  • 11/05/2018 - Keshav Aggarwal (OSU) - Application of trivial delta method towards subconvexity (abstract)
  • 10/22/2018 - Elad Zelingher (Yale University) - Exterior square gamma factors for cuspidal representations of $\mathrm{GL}_n$ (abstract)
  • 10/15/2018 - Nicolae Anghel (University of North Texas) - Heron Triangles with Constant Area and Perimeter (abstract)
  • 10/08/2018 - Rongqing Ye (OSU) - Rankin--Selberg gamma factors of level zero representations of $GL_n$ (abstract)
  • 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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