Chabauty Methods Courses and Certifications

International Centre for Theoretical Sciences

Classical and Quadratic Chabauty - Lecture 1

Explore advanced techniques for studying rational points on modular curves, focusing on classical and quadratic Chabauty methods in arithmetic geometry.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Classical and Quadratic Chabauty - Lecture 3

Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Classical and Quadratic Chabauty - Lecture 3

Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Conjectural Asymptotics of Prime Orders of Points on Elliptic Curves Over Number

Explores conjectural asymptotics of prime orders of points on elliptic curves over number fields, advancing understanding in arithmetic geometry and modular curve theory.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Automorphic Lefschetz Properties and L-Values

Explore automorphic Lefschetz properties and L-values in arithmetic geometry with expert Arvind Nair. Gain insights into advanced concepts and their applications in number theory.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

On the Harris-Venkatesh Conjecture by Loic Merel

Exploration of the Harris-Venkatesh conjecture in arithmetic geometry, focusing on rational points on modular curves and their implications for elliptic curves and modular forms.

• YouTube
• 3 hours 54 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

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.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

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.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

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.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

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.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

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.

• YouTube
• 2 hours 4 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

P-adic Adelic Metrics, P-adic Heights, and Rational Points on Curves by Padma Srinivasan

Explore P-adic adelic metrics, P-adic heights, and their applications in studying rational points on curves with expert Padma Srinivasan in this advanced mathematics lecture.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Singular Moduli for Real Quadratic Fields - An Update by Jan Vonk

Explore singular moduli for real quadratic fields with Jan Vonk. Learn about recent developments, theoretical insights, and computational aspects in this advanced arithmetic geometry lecture.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Equidistribution of Matrix Valued Gauss Sums by C. S. Rajan

Explore equidistribution of matrix-valued Gauss sums in this advanced mathematics lecture, delving into arithmetic geometry and modular curves.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Towards Strong Uniformity for Isogenies of Prime Degree by Barinder Singh Banwait

Explores strong uniformity for prime degree isogenies in arithmetic geometry, focusing on modular curves and rational points. Advances theoretical understanding and computational methods in this specialized field.

• YouTube
• 57 minutes
• On-Demand
• Free Video