Elliptic Curves Courses and Certifications

International Centre for Theoretical Sciences

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 1

Explore modular forms, elliptic curves, and modular curves in this advanced lecture. Gain insights into arithmetic geometry and the study of rational points on varieties.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 2

Explore advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Gain insights into rational points and their significance in number theory.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 4

Explore advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Gain insights from expert Eknath Ghate in this in-depth lecture.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 3

Explores advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Builds on previous lectures to deepen understanding of these fundamental objects.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Groups from Elliptic Curves - Isomorphism Testing and the PORC Conjecture

Explore finite groups from elliptic curves, isomorphism testing methods, and connections to Higman's PORC conjecture in algebraic geometry and group theory.

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

Fields Institute

Torsion of Rational Elliptic Curves over the Cyclotomic Extensions of Q

Explore the torsion behavior of rational elliptic curves when extended to cyclotomic fields in this advanced number theory seminar by Omer Avci from Bogazici University.

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

Instituto de Matemática Pura e Aplicada

Parabolic Bundles of Rank 3 on Elliptic Curves

Explore parabolic bundles of rank 3 on elliptic curves in this advanced mathematics lecture celebrating Frank Loray's 60th birthday at IMPA's specialized conference.

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

TheIACR

Double-Base Chains for Scalar Multiplications on Elliptic Curves

Explore efficient scalar multiplication on elliptic curves using double-base chains, enhancing cryptographic operations and improving performance in elliptic curve cryptography.

• YouTube
• 20 minutes
• On-Demand
• Conference Talk

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

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

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

Iwasawa Theory for the Fine Selmer Group of Elliptic Curves Over Anticyclotomic

Explore Iwasawa theory for fine Selmer groups of elliptic curves over anticyclotomic extensions, delving into advanced arithmetic geometry concepts and their applications.

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

Fields Institute

One-level Densities in Families of Grossencharakters Associated to CM Elliptic Curves

Explore one-level densities in Grossencharakters families linked to CM elliptic curves, delving into advanced number theory concepts and their applications.

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

An Introduction to Number Theory

Explore quadratic fields, binary forms, and elliptic curves while mastering fundamental concepts in number theory and their applications to cryptography over 12 weeks.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Mathologer

Euler's and Fermat's Last Theorems, the Simpsons and CDC6600

Explore Fermat's last theorem, Euler's conjecture, and their connections to pop culture and computing history. Delve into mathematical proofs and historical insights.

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