Asymptotics Courses and Certifications

Hausdorff Center for Mathematics

BPHZ Renormalisation and Vanishing Subcriticality Limit of the Fractional Φ_d Model

Explores stochastic PDEs with fractional Laplacian, analyzing renormalization counterterms' behavior as parameters approach critical values. Illustrates BPHZ renormalization theory in a simplified context.

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

ICTP Mathematics

Asymptotics for the Lower Tail of the KPZ Equation

Exploration of asymptotic behavior in the KPZ equation's lower tail, covering motivation, proofs, and generalizations for advanced mathematics researchers.

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

ICTP Mathematics

Asymptotics of Orthogonal Polynomial Ensembles via Integrable Methods

Explore statistical properties of random matrices and point processes, focusing on asymptotics of orthogonal polynomial ensembles and their applications in various fields of mathematics and physics.

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

Mathematical Biostatistics Boot Camp 1

17 reviews

Intense immersion into mathematical biostatistics, covering probability, expectations, distributions, confidence intervals, and more. Ideal for students with college-level math and calculus knowledge.

• Coursera
• 13 hours
• On-Demand
• Free Online Course (Audit)

Calculus: Single Variable Part 1 - Functions

8 reviews

Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat.

• Coursera
• 14 hours
• On-Demand
• Free Online Course (Audit)

Analysis of Algorithms

6 reviews

Explore algorithms through calculus, generating functions, and symbolic methods. Analyze structures like permutations, trees, and strings. Gain quantitative insights into large combinatorial structures.

• Coursera
• 21 hours
• On-Demand
• Free Online Course (Audit)

IMSA

Asymptotics and Resurgence in Weil-Petersson Volumes

Explore non-perturbative properties of 2D gravity models using Resurgence, uncovering insights into Weil-Petersson volume asymptotics and topological gravity instanton contributions.

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

TheIACR

The Torsion-Limit for Algebraic Function Fields and Its Application to Arithmetic Secret Sharing

Explore algebraic function fields' torsion-limit and its impact on arithmetic secret sharing, including applications in error correction and bounds for r-torsion limits.

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

Fields Institute

SGD in the Large - Average-Case Analysis, Asymptotics, and Stepsize Criticality

Explore average-case analysis, asymptotics, and stepsize criticality in stochastic gradient descent, with insights on optimization problems and stochastic momentum techniques.

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

ICTP Mathematics

Random Matrices and the Uses of Dyson-Schwinger Equations - III

Explore advanced topics in random matrix theory, including Dyson-Schwinger equations, operator algebra, and central limit theorems, with applications in mathematical physics.

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

NCCR SwissMAP

Asymptotics for Graph Complex Euler Characteristics

Explore asymptotics of graph complex Euler characteristics with M. Borinsky, delving into algebra, topology, and the Grothendieck-Teichmüller group.

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

International Centre for Theoretical Sciences

Asymptotics of Invariant Measures of Mean-field Markov Models on Countable State Spaces

Explore asymptotics of invariant measures in mean-field Markov models on countable spaces. Gain insights into network science, probability theory, and applications in complex systems and data analysis.

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

Institute for Advanced Study

The Mysterious Kronecker Coefficients in Algebraic Combinatorics

Explore the enigmatic Kronecker coefficients, their significance in algebraic combinatorics, and recent developments in positivity, asymptotics, and computational complexity.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

BIMSA

Intersection Theory on Moduli Space of Super Riemann Surfaces

Explore intersection theory on super Riemann surface moduli spaces, including recursion formulas, polynomiality, and applications to JT gravity.

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

Asymptotics: The Art of Approximation: Wolfram U

Explore asymptotic methods for approximating complex mathematical problems using Wolfram Language, covering applications in differential equations, integrals, and infinite series.

• Wolfram U
• 23 minutes
• On-Demand
• Free Online Course