Abstracts

All abstracts submitted are under review by the meeting organizers.

Contributed Talks

Jeff Achter Split reductions of simple abelian varieties
Mahesh Agarwal p-adic L-functions for GSp(4)xGL(2)
Omran Ahmadi On the Sum-Product Problem on Elliptic Curves
Amir Akbary On divisors of the number of points on an elliptic curve mod p
Ayse Alaca Representations by quaternary quadratic forms whose coefficients are 1, 3 and 9
Saban Alaca Congruences for Brewer sums
Dan Baczkowski Rational Values Involving Arithmetic Functions Evaluated at Factorials
Roger Baker The Hlawka zeta function and primitive lattice points in planar domains
Nils Bruin A new criterion for congruent primes
David Cardon Matrices related to Dirichlet series
O-Yeat Chan Duality in Tails of Multiple-zeta values
Chieh-Yu Chang Algebraic independence of special arithmetic gamma values
Gabriel Chênevert Modularity of a cubic fourfold
Michael Coons Transcendence of various numbers and series
Emmanuel Delsinne On the relative Lehmer problem in a torus
Rainer Dietmann Probabilistic Galois theory for quartic polynomials
Kevin Doerksen Genus 2 curves with (4, 4) split Jacobians
Darrin Doud Distinguishing contragredient Galois representations in characteristic two
Eduardo Duenez Roots of the Derivative of Riemann's Zeta Function and of Characteristic Polynomials
Ahmad El-Guindy Differential operators and Rankin-Cohen brackets on Drinfeld Modular forms
Griff Elder Galois scaffolding in characteristic p local extensions
Arsen Elkin On a-numbers of cyclic covers of the projective line
Christian Elsholtz Multiplicative decomposability of shifted multiplicatively defined sets
Anne-Maria Ernvall-Hytönen On short exponential sums related to holomorphic cusp forms
Ron Ferguson Computational methods for problems in low-height polynomials
Alan Filipin Any D(4)-quintuple contains a regular quadruple
Brandon Fodden Diophantine equations and the generalized Riemann hypothesis
Sharon Frechette Weyl Group Multiple Dirichlet Series for Type C
Lenny Fukshansky On distribution of well-rounded sublattices of Z^2
Weidong Gao On the structure of long zero-sum free sequence in Z_n
Leo Goldmakher Character sums to smooth moduli are small
Stan Gurak Gauss and Kloosterman Sums over Residue Rings of Algebraic Integers
Henri Johnston Non-existence and splitting theorems for normal integral bases
Rizwan Khan Non-vanishing of the symmetric square L-function at the central point
Michael P. Knapp Simultaneous diagonal equations of odd degrees
Simon Kristensen Twisted Diophantine approximation and shrinking targets
Angel Kumchev Exceptional sets for sums of primes and squares of primes
Takeshi Kurosawa Transcendence of reciprocal sums of binary recurrences
Matilde N. Lalin On a conjecture by Boyd
Youness Lamzouri Distribution of values of L-functions at the edge of the critical strip
Wen-Chin Liaw On the evaluation of multiple zeta values of height one
Jim MacDougall Rational-Derived Polynomials
Dante Manna Rational Landen Transformations and Divisibility
Nic Niedermowwe Zeros of integral forms with one S-unit variable
Pace P. Nielsen An even covering system with minimum modulus 40
Jennifer Paulhus Permutations of even residues modulo p
Kathleen Petersen A Bombieri-Vinogradov Theorem for Number Fields
Rachel Pries On the p-rank strata of the moduli space of curves
Jeremy Rouse Bounds for the coefficients of powers of the Delta-function
Fumio Sairaiji Formal groups of Q-curves with complex multiplication
Ethan Smith Averaging the error in the Chebotarev Density Theorem over cyclotomic extensions of a number field.
Matthew Smith On solution-free sets for simultaneous polynomial equations
Thomas Stoll Newman's phenomenon for generalized Thue-Morse sequences
Alain Togbe Simultaneous Pellian equations with a single or no solution
Timothy Trudgian Concerning an upper bound for closely spaced zeroes of the Riemann zeta-function on the critical line.
Thomas J. Tucker "Dynamical Mordell-Lang problems"
Henri Virtanen On the mean square of quadratic Dirichlet L-functions at 1
Gary Walsh Upper bounds for the number of integer points on elliptic curves
Julia Wolf The true complexity of a system of linear equations
Maosheng Xiong The Erdös-Kac theorem for polynomials of several variables
Yifan Yang Structure of the cuspidal rational torsion subgroups of J_1(p^n)
Yu Yasufuku Vojta's Conjecture and Blowups
Soroosh Yazdani On Class of Fekete Like Polynomials
Matthew Young Mean values with cubic characters
Jahan Zahid Zeros of p-adic forms
Liangyi Zhao On the low-lying zeros of Hasse-Weil L-functions for Elliptic Curves
David Zywina Elliptic curves with maximal Galois action on their torsion points

Special Session Talks

Jean-Paul Allouche A set of binary sequences, unimodal functions, beta-expansions and Diophantine approximation
Francesco Amoroso Some remarks on relative Lehmer.
Arthur Baragar Vector heights on K3 surfaces
Michael Bennett Yet another generalization of the Ramanujan-Nagell equation
Valentin Blomer Sums of Hecke eigenvalues over quadratic polynomials
Andrew Booker Computing automorphic forms
Tim Browning Rational points on cubic hypersurfaces
Jörg Brüdern Approximations to Weyl sums
Yann Bugeaud Diophantine approximation and Cantor sets
Imin Chen On the equation x² - 2 z⁶ = y^p.
Chantal David Frobenius Fields and Frobenius Rings of Elliptic Curves
Christophe Delaunay Remarks on the discretisation process
Jan-Hendrik Evertse Approximation of complex algebraic numbers by algebraic numbers of bounded degree
David W. Farmer Some calculations involving higher-rank L-functions
Steve Gonek Finite Euler Products and the Riemann Hypothesis
Eyal Goren The Canonical Subgroup
Koichi Kawada On the exceptional sets for the Waring-Goldbach problem for cubes.
Henry H. Kim Second moments of twisted Koecher-Maass series
Stephen Kudla On the pullback of arithmetic theta functions
Wen-Ching Winnie Li Noncongruence modular forms and modularity
Ronald van Luijk Density of rational points on diagonal quartic surfaces
Greg Martin Dimensions of Spaces of Newforms
Michael Mossinghoff Barker sequences and flat polynomials
Matthew Papanikolas Algebraic independence of periods and logarithms of Drinfeld modules
Paul Pollack The distribution of irreducible polynomials over a finite field
Michael Rosen Class numbers not divisible by 3
Damien Roy A small value estimate in dimension two
Romyar Sharifi Cup products and Selmer groups of reducible representations
Joseph H. Silverman Periodic points modulo p as p varies
Chris Smyth The integers n dividing a^n-b^n
Nina Snaith Recent applications of random matrix theory in number theory
Hugh Williams A Cubic Extension of the Lucas Functions
Jing YU A Tale of Two Motives : Gamma and Zeta in positive characteristic
Jiu-Kang Yu A dyadic exercise in the construction of supercuspidal representations and types

Plenary Lectures

Henri Darmon Rational points on elliptic curves and algebraic cycles
Roger Heath-Brown Zeros of p-adic Forms
Ram Murty L-series and Transcendence
Carl Pomerance Counting fields
Bjorn Poonen Undecidability in number theory
Trevor D. Wooley Meeting and beating the limits of the circle method for systems of cubic diophantine equations