Modular Regulators and Multiple Modular Values
Explore recent advancements in computing Goncharov regulator integrals for K_4 classes on modular curves, relating them to multiple modular values and single L-values of modular forms.
Arithmetic Field Theory for Elliptic Curves by Minhyong Kim
Explore advanced arithmetic field theory for elliptic curves, focusing on rational points on modular curves, Chabauty methods, and computational aspects in arithmetic geometry.
Counting Rational Points on Modular Curves of Genus 0 Over Number Fields by Peter Bruin
Explore techniques for counting rational points on modular curves of genus 0 over number fields, advancing understanding in arithmetic geometry and algebraic number theory.
Diophantine Stability for Elliptic Curves on Average by Anwesh Ray
Explore Diophantine stability for elliptic curves, focusing on average-case analysis. Gain insights into arithmetic geometry and modular curves through advanced theoretical and computational approaches.
A Simple Dichotomy in Serre's Uniformity Question by Davide Lombardo
Explore Serre's Uniformity Question in arithmetic geometry, focusing on rational points on modular curves and their implications for elliptic curves and number theory.
A Chabauty-Coleman-Caro-Pasten Bound in Higher Dimensions by Netan Dogra
Explore advanced techniques in arithmetic geometry, focusing on rational points on modular curves and higher-dimensional varieties using Chabauty-Coleman-Caro-Pasten methods.
Minimal Torsion Curves in Geometric Isogeny Classes
Explore minimal torsion curves in geometric isogeny classes, delving into advanced number theory concepts and computational techniques.
Smooth Plane Models for Modular Curves of Shimura Type
Explore smooth plane models for modular curves of Shimura type, delving into advanced mathematical concepts and their applications in number theory.
Point-Counting and the Zilber-Pink Conjecture - Lecture 4
Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
Point-Counting and the Zilber-Pink Conjecture - Lecture 3
Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
Point-Counting and the Zilber-Pink Conjecture - Lecture 2
Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
Point-Counting and the Zilber-Pink Conjecture - Lecture 1
Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.