# Schedule

 Wednesday Thursday Friday 9:30-10:00 On Siegel's LemmaDavid Masser Prime and Möbius correlations for very short intervals in ${\mathbb F}_{p}[x]$Pär Kurlberg Generalized Schemmel's function and its associated mean-valuesAde Irma Suriajaya 10:10-10:40 Singular units do not existYuri Bilu Sturm bounds for automorphic forms of Drinfeld type over function fields Cécile Armana Two Problems around the Parity PrincipleOlivier Ramaré 10:40-11:10 Coffee Break 11:10-11:40 Lower bounds for the Mahler measures of polynomials that are sum  of a bounded number of monomialsShabnam Akhtari Irregular behaviour of class numbers and Euler-Kronecker constants of cyclotomic fields: the log log log devil at playPieter Moree 11:50-12:20 Modularity, rational points and Diophantine Equations Ekin Özman Fields of algebraic numbers with bounded local degrees and their Galois groupsSara Checcoli 12:30-13:00 Abelian varieties with large Galois imageMarusia Rebolledo Elliptic curves and primes of cyclic reductionPeter Stevenhagen 13:00-15:00 Lunch Break 15:00-15:30 Orienting supersingular isogeny graphsDavid Kohel Coordinates of Pell equations in various sequencesFlorian Luca The distribution of quantum modular forms Sandro Bettin 15:40-16:10 Contributed talks I Multiplicative functions in short intervals and in arithmetic progressionsAndrew Granville fhjsw116:10-18:00 fsghsj

Contributed talks I

 Aula Urbano VIII Aula De Vecchi 15:40-15:55 Monochromatic Solutions of Diophantine Equations and related questions Sukumar das Adhikari On the level raising of cuspidal eigenforms modulo prime powers Emiliano Torti 16:05-16:20 Fields Generated by sums and products of singular moduli Bernadette Faye Congruences for sporadic sequences and modular forms for non-congruence subgroups Matija Kazalicki 16:30-16:45 Classification of number fields with minimum discriminant Francesco Battistoni One Level Density of a Symplectic Family of Hecke L-Functions Ezra Waxman 16:55-17:10 The X-coordinates of Pell equations and Padovan numbers Salah Eddine Rihane Slopes of Drinfeld cusp forms Maria Valentino 17:20-17:35 Regularity of certain Diophantine equations Subha Sarkar AG codes over Abelian surfaces with special reference to Weil Restrictions of elliptic curves Elena Berardini 17:45-18:00 An exponential Diophantine equation related to the difference between powers of two Fibonacci numbers Bijan Kumar Patel On zero-sum subsequences in a finite abelian p-group Bidisha Roy

Contributed talks II

 Aula Urbano VIII Aula De Vecchi 15:40-15:55 Multivariate normal distribution for integral points on varieties Daniel El-baz Computing a Density of Ramified Primes Christine McMeekin 16:05-16:20 Small Heights in Large Non-Abelian Extensions Linda Frey Positive proportion of short intervals containing a prescribed number of primes Daniele Mastrostefano 16:30-16:45 Serre's problem for diagonal conics Efthymios Sofos On the Laurent-Stieltjes constants and their applications Sumaia Saad Eddin 16:55-17:10 Statistics of moduli space of vector bundles Sampa Dey Approximations by signed harmonic sums and the Thue-Morse sequence Carlo Sanna 17:20-17:35 Bi-quadratic fields having a non-principal Euclidean ideal class Jaitra Chattopadhyay Least prime square and Least prime in certain arithmetic Beatty sequence Karthick Babu

Contributed talks III

 Aula Urbano VIII 11:10-11:25 Kummer theory for number fields Antonella Perucca 11:35-11:50 Local-global divisibility in commutative algebraic groups Laura Paladino 12:00-12:15 Gcd estimates for polynomials evaluated at S-units and applications to Lang-Vojta's conjectures Laura Capuano 12:25-12:40 The abc conjecture and non-Wieferich primes in arithmetic progressionsHester Graves 12:50-13:05 On p-adic multidimensional continued fractions Lea Terracini