This is the unofficial home page of the UNSW Number Theory Seminar.

We welcome talks on current research topics and also talks of a more expository nature.

Speakers are encouraged to make at least part of their talk accessible to advanced undergraduates (i.e. Honours students).

The seminar is organised by Alina Ostafe and David Harvey.

Please contact the organisers if you wish to be added to (or subtracted from) the mailing list.

(none currently scheduled)

- 18-03-2020: Po Lam Yung, Efficient congruencing and Fourier decoupling
- 18-03-2020: Alexander Fish, Sets of transfer times with small densities
- 04-03-2020: Michael Coons, Some curious infinite products
- 19-02-2020: Sean Lynch, An introduction to noncommutative arithmetic
- 19-02-2020: Raphael Steiner, Fourth Moment of Automorphic Forms

- 11-12-2019: Tim Trudgian, When primes are just too hard…
- 11-12-2019: Daniel Altman, On Szemeredi's Theorem with differences from a random set
- 27-11-2019: Holly Krieger, Uniformity in the Manin-Mumford conjecture
- 27-11-2019: Alisa Sedunova, Intersections of binary quadratic forms in primes and the paucity phenomenon
- 13-11-2019: Ilya D. Shkredov, SL2-actions, modular hyperbolas and Kloosterman sums
- 13-11-2019: Edgar Costa, Rigorous computation of the endomorphism ring of a Jacobian
- 30-10-2019: Thomas Morrill, Overpartitions and q-Hypergeometric Series
- 30-10-2019: Changhao Chen, Metric theory of Weyl sums
- 16-10-2019: William Chen, Results and problems old and new in geometric discrepancy theory
- 16-10-2019: Min Sha, Torsion points with multiplicatively dependent coordinates on elliptic curves
- 21-08-2019: Wadim Zudilin, Creative microscoping
- 24-07-2019: Lee Zhao, Mean character values
- 24-07-2019: Gerry Myerson, An arithmetic property of certain rational powers
- 19-06-2019: Matteo Bordignon, Explicit bounds on exceptional zeroes of Dirichlet L-functions
- 19-06-2019: Andrew Hone, Hankel determinants and continued fractions for hyperelliptic functions
- 05-06-2019: Kam Hung Yau, A relaxation of Goldbach's conjecture
- 05-06-2019: John Griesmer, Inverse theorems in additive combinatorics
- 17-04-2019: Houcein El Abdalaoui, Möbius Randomness Law from the viewpoint of Chowla’s and Sarnak’s conjectures
- 17-04-2019: Bryce Kerr, On the distribution of fractions with power denominator
- 03-04-2019: Yann Bugeaud, On the decimal expansion of log(2019/2018) and e
- 03-04-2019: Simon Macourt, New bounds on multilinear exponential sums
- 13-03-2019: Jorge Mello, Canonical Height Functions
- 13-03-2019: Asif Zaman, Moments of other random multiplicative functions
- 27-02-2019: Mark Watkins, Class number one from analytic rank two
- 27-02-2019: Kevin McGown, Statistics of genus numbers of cubic fields

- 21-11-2018: Timothy Trudgian, The best error terms for the prime number theorem
- 21-11-2018: Greg Martin, Statistics of the multiplicative group
- 21-11-2018: Everyone invited to propose a problem, Open Problem Session in Number Theory (see proposed problems)
- 07-11-2018: Nicole Sutherland, Computations of Galois groups and splitting fields
- 07-11-2018: Edward McDonald and Dmitriy Zanin, Operator theory and Julia sets
- 24-10-2018: Felipe Voloch, Locally recoverable codes and algebraic surfaces
- 24-10-2018: Brendan Creutz, Descent on Plane Quartic Curves
- 03-10-2018: Jozsef Solymosi, Sums, products and ratios along the edges of a graph
- 03-10-2018: Alexander Fish, Quantitatively pleasant actions of Z^d and sum-product phenomenon
- 19-09-2018: Igor Shparlinski, Short character sums modulo prime powers and applications: L-functions, primes, Kloosterman sums and the divisor function
- 19-09-2018: Changhao Chen, Cesaro means of character sums
- 05-09-2018: Peng Gao, Moments of central values of cubic Hecke L-functions of the Gaussian field
- 05-09-2018: David Harvey, Integer multiplication and the truncated product problem
- 22-08-2018: Thomas Morrill, Buffered Frobenius representations of overpartitions
- 22-08-2018: Min Sha, The distance to square-free polynomials
- 08-08-2018: Wadim Zudilin, Irrationality of odd zeta values
- 08-08-2018: Dmitry Badziahin, Irrationality exponents of Mahler numbers
- 16-05-2018: Florian Breuer, Invitation to Drinfeld modules and Drinfeld modular forms
- 16-05-2018: Dan Altman, Deterministically factoring integer polynomials modulo many primes simultaneously
- 18-04-2018: Jens-Dietrich Bauch, Montes Algorithm In Function Fields
- 18-04-2018: Ali Mohammadi, On exponential sums over multiplicative subgroups in arbitrary finite fields
- 28-03-2018: Marley Young, Multiplicative dependence of rational iterates
- 28-03-2018: Andrew Hone, On a family of sequences related to Chebyshev polynomials
- 14-03-2018: Caroline Turnage-Butterbaugh, An effective Chebotarev density theorem for families of fields, with applications to class groups
- 07-03-2018: Joachim von zur Gathen, Combinatorics on polynomial equations: do they describe nice varieties?
- 07-03-2018: Alina Ostafe, Multiplicative dependence among values of rational functions and their iterates

- 08-11-2017: Simon Macourt, Multilinear Exponential Sums and Collinear Triples
- 08-11-2017: Liangyi Zhao, Understanding our family values
- 25-10-2017: Mumtaz Hussain, Metrical Theory for the sets of Dirichlet non-Improvable numbers
- 25-10-2017: Antoine Joux, A crossbred algorithm for solving Boolean polynomial systems
- 11-10-2017: Peter Schwabe, From NewHope to Kyber
- 11-10-2017: Andrew Hone, Curious continued fractions
- 13-09-2017: Kam Hung Yau, On the distribution of \alpha n + \beta modulo 1
- 13-09-2017: Danesh Jogia and Timothy McMahon, Quantum Resistant vs Classical Cryptography
- 30-08-2017: Igor Shparlinski, Billinear forms with Kloosterman sums
- 30-08-2017: Alexander Fish, Twisted recurrence via polynomial walks
- 16-08-2017: Wadim Zudilin, Hypergeometric motives for rigid hypergeometric Calabi-Yau threefolds
- 16-08-2017: Tim Trudgian, Grosswald’s conjecture on primitive roots
- 02-08-2017: Joseph Gunther, Unexpected quadratic points on random hyperelliptic curves
- 02-08-2017: Bryce Kerr, Incomplete Gauss sums modulo primes
- 18-05-2017: James Borger, A general theory of canonical lifts
- 18-05-2017: Debargha Banerjee, Differential modular forms
- 06-04-2017: Dzmitry Badziahin, Continued fractions of some Mahler functions and applications to Diophantine approximation
- 06-04-2017: Ana Zumalacarregui, Threshold functions for systems of equations in random sets
- 02-03-2017: Min Sha, Counting integer polynomials with multiplicatively dependent roots
- 02-03-2017: Maike Massierer, Improvements to point counting on hyperelliptic curves of genus two
- 24-01-2017: Jan Tuitman, Gonality preserving lifts of low genus curves

- 16-11-2016: Richard Brent, Fast algorithms for the Kolakoski sequence
- 16-11-2016: John Roberts, Arithmetic aspects of piecewise-linear and driven-linear dynamics
- 02-11-2016: Steven Galbraith, On the security of supersingular isogeny cryptosystems
- 02-11-2016: Felipe Voloch, Local-global questions on curves of genus one
- 19-10-2016: Timothy Siu, Detecting integrals in reversible maps
- 19-10-2016: David Harvey, Point counting on arbitrary varieties
- 05-10-2016: Michael Coons, An analytic view of transcendence
- 05-10-2016: Lassina Dembele, On the existence of abelian surfaces with everywhere good reduction
- 21-09-2016: Shi Bai, A subfield lattice attack on overstretched NTRU assumptions
- 21-09-2016: Paul Zimmermann, Better Polynomials for GNFS
- 10-08-2016: William Banks, Exponential sums and the Linear Independence Conjecture
- 10-08-2016: Kui Liu, On the divisor problem in arithmetic progressions
- 12-07-2016: Tianping Zhang, On the D.H. Lehmer problem
- 12-07-2016: Edgar Costa, Counting points on curves
- 24-02-2016: Jörg Jahnel, On the Hasse principle for del Pezzo surfaces of degrees 3 and 4
- 24-02-2016: Gerry Myerson, Some problems in Number Theory
- 17-02-2016: Michael Baake, Dynamical systems of number-theoretic origin in the theory of aperiodic order
- 17-02-2016: Alexander Bors, Some results on parameters of finite groups quantitatively related to abelianity

- 18-11-2015: Wadim Zudilin, Hankel determinants and irrationality questions
- 18-11-2015: Timothy Trudgian, Zeroes of partial sums of the zeta-function
- 04-11-2015: William Chen, The Great Open Problem in Discrepancy Theory
- 04-11-2015: Alexander Fish, Recurrence, measure rigidity and characteristic polynomial patterns in difference sets of matrices
- 21-10-2015: Liangyi Zhao, Gaps between primes in Beatty sequences
- 21-10-2015: Djordje Milicevic, Factorable moduli, subconvexity, and short exponential sums
- 07-10-2015: Mark Watkins, Computing with Jacobi-sum motives and Hecke Grossencharacters
- 07-10-2015: Josef Dick, Recent advances in geometric discrepancy
- 24-06-2015: Alex Ghitza, Differential operators on modular forms
- 27-05-2015: Stephen Meagher, Extreme genus 3 curves over finite fields
- 13-05-2015: Christophe Doche, Enumerating Double-Base Chains with Applications to Elliptic Curve Cryptography
- 29-04-2015: Mumtaz Hussain, Metric Diophantine approximation: well approximable theory on manifolds
- 15-04-2015: Randell Heyman, The approximate GCD problem
- 01-04-2015: Michael Harrison, Generalising AGM point-counting for elliptic curves over large finite fields of small characteristic
- 18-03-2015: Ana Zumalacarregui, The least common multiple of sets of positive integers
- 04-03-2015: Stephen Harrap, Topological games, Cantor sets and Diophantine approximation
- 18-02-2015: Francesco Pappalardi, Averaging with primitive roots

- 19-11-2014: Andreas-Stephan Elsenhans, Cubic surfaces - moduli spaces and arithmetic
- 05-11-2014: Edgar Costa, Variation of Néron-Severi ranks of reductions of algebraic surfaces
- 22-10-2014: Alina Ostafe, Polynomial values in affine subspaces of finite fields
- 08-10-2014: Min Sha, Effective Cassels' p-adic embedding theorem for number fields
- 24-09-2014: Tom Fisher, What is the probability that a random quadratic form is isotropic?
- 10-09-2014: Michael Coons, Variations on a theme of Mahler