The eighth mini symposium of the

Aula Urbano VIII, Argiletum, Via Madonna dei Monti 40, Università Roma Tre

April 17-19, 2024





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Contributed talks

20th Atelier PARI/GP
(April 15-16)
     

Schedule

Wednesday Thursday Friday
9:00-9:40 Registration/opening ceremony On a question of
Nigel Boston about Fontaine-Mazur Conjecture
Ramla Abdellatif 		Heights of CM jacobians of curves with good reduction everywhere
Samuel Le Fourn
9:50-10:30 Torsion bounds for
a fixed abelian variety
and varying number field
Davide Lombardo 		Transcendental dynamical degree
Mattias Jonsson		 A motivic circle method
Margaret Bilu
10:30-11:00 Coffee break
11:00-11:40 Contributed talks I
 Contributed talks IV
  On a local-global principle
 for quadratic twists of abelian varieties
Francesc Fite
11:50-12:30 Almost all quadratic twists have no integral points
Stephanie Chan		 Cohomology of groups and local-global problems
Laura Paladino		 Goldbach beyond the square-root barrier
Jared Duker Lichtman
12:30-14:30Lunch Break
14:30-15:10 Contributed talks II Contributed talks V  Integer distance sets
Sarah Peluse
15:30-16:10 Optimization problems for multiplicative functions
Andrew Granville
16:10-16:30 Coffee break
16:30-17:10 Contributed talks III
 Contributed talks VI
17:20-18:00 Diophantine Approximation to Closed Subschemes
Aaron Levin		 A norm refinement of Bezout's lemma
and quaternion orders
John Voight









Contributed talks I

Aula Urbano VIII Aula De Vecchi
11:00-11:15 Geometrically isogenous abelian varieties over finite fields and their infinite extensions
Stevan Gajovic 		Small gaps between almost-twin primes
Bin Chen
11:25-11:40 Descent on elliptic curves
over function fields
Jean Gillibert		Trinomials with high differential uniformity
Yves Aubry


Contributed talks II

Aula Urbano VIII Aula De Vecchi
14:30-14:45A variation of the relative
Manin-Mumford theorem
Francesco Tropeano 		Balanced triple product p-adic L-functions and classical weight one forms
Luca Dall'Ava
14:55-15:10 Bielliptic Shimura curves $X_0^D(N)$
with nontrivial level
Oana Padurariu 		 A Class of Irreducible Trinomials
over Finite Fields
Bayarmagnai Gombodorj
15:20-15:35Isogeny relations in products
of families of elliptic curves
Luca Ferrigno 		On prime common index divisors of certain quintic Number fields
Sumandeep Kaur
15:45-16:00 Explicit Serre's open image theorem
for rational elliptic curves
Lorenzo Furio 		On the number of residues modulo an integer of certain second-order
linear recurrences
Federico Accossato



Contributed talks III

Aula Urbano VIII Aula De Vecchi
16:30-16:45On the height of some generators of Galois extensions with big Galois group
Jonathan Jenvrin 		Criterion sets for universal quadratic forms over number fields
Giuliano Romeo
16:55-17:10 On tamely ramified infinite
Galois extensions
Christian Maire		Universal quadratic forms and Northcott property of infinite number fields
Vitezslav Kala



Contributed talks IV

Aula Urbano VIII Aula De Vecchi
11:00-11:15Low Degree Points on Modular Curves
and Their Quotients
Nikola Adžaga 		Thue equation over $\mathbb{C}(T)$: The complete solution of a simple quartic family
Bernadette Faye
11:25-11:40 Hyperelliptic and trigonal modular curves
in characteristic $p$
Filip Najman 		Algebraically independent values
of some exponential functions
Cristiana Bertolin



Contributed talks V

Aula Urbano VIII Aula De Vecchi
14:55-15:10 Supersingular abelian surfaces
and orthogonal polynomials
Gabriele Bogo 		Nearly holomorphic Drinfeld modular forms and their special values at CM points
Oguz Gezmis
15:20-15:35Recent advances on the
Supersingular Endomorphism Ring Problem
Annamaria Iezzi 		On some coefficients of the
Artin-Hasse series modulo a prime
Marina Avitabile
15:45-16:00 Abelian surfaces over finite fields
containing no curves of small genus
Elena Berardini 		Recent work on exceptional zeroes
Timothy Trudgian



Contributed talks VI

Aula Urbano VIII Aula De Vecchi
16:30-16:45Transcendental number in $\mathbb{Q}_p$
via continued fractions
Nadir Murru 		Local Fourier uniformity of
divisor functions
Mengdi Wnag
16:55-17:10 Continued Fractions and Quadratic Forms:
A Novel Factorization Method
Giulia Salvatori		Central Limit Theorems for
Random Multiplicative Functions
Besfort Shala