Convexity Courses and Certifications

Hausdorff Center for Mathematics

Convexity, Duality and Heat Diffusion

Explore the intricate relationship between log-concavity, duality, and Gaussian diffusions in mathematical analysis, focusing on the Blaschke-Santalo inequality and Legendre transforms.

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

Institute for Advanced Study

Uniqueness and Convexity in the Calculus of Variations

Explore advanced convexity concepts in vectorial calculus of variations and their role in ensuring uniqueness of minimizers under perturbations.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Basic Math: Derivatives

Master differential calculus fundamentals including function properties, derivative calculations, chain rule, and optimization techniques for early university students.

• Coursera
• 17 hours 24 minutes
• On-Demand
• Paid Course

Linear Programming basics

101 ratings at Udemy

Number 1 linear programming course. Learn the simplex method, duality and sensitivity analysis for linear programs

• Udemy
• 3 hours 6 minutes
• On-Demand
• Paid Course

FRM Part 1 - Book 4 - Valuation and Risk Models (Part 2/2)

79 ratings at Udemy

Master advanced valuation and risk models for FRM Part 1 with bond pricing, interest rates, duration, convexity, binomial trees, Black-Scholes-Merton model, and option Greeks.

• Udemy
• 4 hours 21 minutes
• On-Demand
• Paid Course

CFI Education

Fixed Income Fundamentals

Master fixed income markets through bond pricing, yield curves, and risk measures while applying real market data and Refinitiv screens for practical industry insights.

• edX
• 3 weeks, 1-3 hours a week
• On-Demand
• Free Online Course (Audit)

Simons Institute

Geodesic Convexity and Optimization

Explore geodesic convexity and its applications in optimization, delving into geometric methods for solving complex problems in high-dimensional spaces.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Fractional Convexity

Explores fractional convexity, extending Euclidean convexity to fractional settings. Examines fractional convex envelopes, their characterization as viscosity solutions, and connections to fractional Monge-Ampere equations.

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

Hausdorff Center for Mathematics

Extensions and Ramifications of Discrete Convexity Concepts

Explore discrete convexity concepts, including L-convex and M-convex functions, their properties, and related notions in combinatorial optimization and discrete mathematics.

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

International Mathematical Union

Enlargements - A Bridge Between Maximal Monotonicity and Convexity

Explore connections between maximally monotone operators and convex functions through enlargements, offering insights into variational problems and new distance measures for point-to-set maps.

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

Hausdorff Center for Mathematics

On Some Tight Convexity Inequalities for Symmetric Convex Sets

Explores tight convexity inequalities for symmetric convex sets, focusing on Gaussian measure, isoperimetric problems, and Dirichlet-Poincare inequality. Discusses progress using L2 methods and energy minimization.

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

Centre International de Rencontres Mathématiques

Invariant Integrated Convexity Profiles for Hamilton-Jacobi-Bellman Equations

Explore invariant integrated convexity profiles for Hamilton-Jacobi-Bellman equations in this mathematical conference talk by Giovanni Conforti, delving into PDE and probability interactions.

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

Big Ideas In Dynamics

Divisible Convex Sets and β-Uniform Convexity

Explore divisible convex sets and β-uniform convexity in this dynamic geometry talk by Amelia Pompilio, delving into advanced mathematical concepts.

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

Centre de recherches mathématiques - CRM

Optimization in Machine Learning - From Convexity to Non-Convexity

Explore optimization algorithms in machine learning, from convex methods with strong guarantees to non-convex challenges in neural networks and complex models.

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

BIMSA

Chromatic Threshold via Combinatorial Convexity, and Beyond

Explore the connection between chromatic threshold in extremal combinatorics and the (p,q)-theorem in discrete geometry, with insights on bounded complexity graphs and density conditions.

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