Algebraic Curves Courses and Certifications

Insights into Mathematics

An Introduction to Algebraic Curves - Arithmetic and Geometry Math Foundations

Explore the history and concepts of algebraic curves, from ancient Greek spirals to modern polynomial approaches, setting the stage for generalizing algebraic calculus beyond functions.

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

Algebraic Curves - More on Projective Geometry - Lecture 2

Explore Desargues Theorem, projective transformations, and points in general position in this advanced algebraic geometry lecture from Oxford's third-year mathematics curriculum.

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

Algebraic Curves - Curves in Affine Plane and the Projective Plane - Lecture 3

Explore algebraic curves in affine and projective planes through theorem proofs and examples from Oxford's advanced mathematics curriculum.

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

Algebraic Curves - Properties of Algebraic Curves - Lecture 4

Explore Hilbert's Nullstellensatz and properties of irreducible, nonsingular algebraic curves in this advanced Oxford mathematics lecture covering essential algebraic geometry concepts.

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

BIMSA

Algebraic Curves and Minimal Surfaces

Explore algebraic curves and minimal surfaces with Prof. Sebastian Heller, delving into Riemann surfaces, harmonic maps, and experimental mathematics.

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

Centre de recherches mathématiques - CRM

Isolated and Parameterized Points on Algebraic Curves

Explore isolated and parameterized points on algebraic curves, examining their behavior in families and implications for elliptic curve arithmetic. Gain insights into curve geometry and its connection to arithmetic properties.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Algebraic Curves with Many Rational Points over Finite Fields

Explore algebraic curves with many rational points over finite fields, focusing on maximum curves, automorphisms, and their applications in coding theory.

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

Centre International de Rencontres Mathématiques

Graded Lie Algebras and Families of Algebraic Curves

Explore graded Lie algebras and their connection to algebraic curve families. Gain insights into natural questions, philosophy, and Thorne's construction in this mathematical symposium talk.

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

Institute for Advanced Study

KP Solutions from Algebraic Curves and the Positive Grassmannian

Explore KP solutions derived from algebraic curves and the positive Grassmannian in this advanced mathematical talk by Yelena Mandelshtam.

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

Harvard CMSA

Hecke Operators for Algebraic Curves Over Local Non-Archimedian Fields - A Survey of Recent Results

Delve into advanced mathematical concepts of Hecke operators and their applications in algebraic curves, exploring eigen-functions, moduli spaces, and p-adic group representation theory.

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

Centre International de Rencontres Mathématiques

Automorphism Groups of Algebraic Curves in Positive Characteristic

Explore automorphism groups of algebraic curves in positive characteristic, examining their relationship with genus and p-rank invariants through classical bounds and open problems.

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

Institute for Advanced Study

Maximal Mumford Curves and Graph Embeddings in Real Algebraic Geometry

Explore the geometric properties of MM-curves, focusing on real stable curves, hyperplane arrangements, and graph embeddings in relation to Mumford curves and their deformations.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Computing Ceresa Classes of Curves

Explore computational methods for Ceresa classes of curves in algebraic geometry, focusing on arithmetic and geometric aspects.

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

Harvard CMSA

Sigma Function on Curves with Non-symmetric Semigroup

Delve into the mathematical theory of sigma functions on curves, exploring their relationship with differential operators, integrable hierarchies, and Jacobian vector fields.

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

Fields Institute

On the Shapes of Rational Lemniscates

Explore the geometric properties and mathematical structures of rational lemniscates in this advanced mathematical analysis by Kirill Lazebnik from UT Dallas.

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