Research Methods Courses

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 8

Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques like Euler-Maclaurin formula and less standard approaches with practical examples.

• YouTube
• 1 hour 36 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 6

Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns, with practical examples and techniques for high-precision numerical computations.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 5

Explore advanced asymptotic methods for evaluating infinite sums and sequences, including Euler-Maclaurin formula variants and less conventional techniques, with practical examples and applications.

• YouTube
• 1 hour 40 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 3

Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns, with practical examples and techniques for high-precision numerical computations.

• YouTube
• 1 hour 41 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Lectures on Standard and Less Standard Asymptotic Methods - Lecture 1

Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques from standard to unconventional, with practical examples and high-precision computations.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Some Aspects of Research on the Gender Gap in Science by Social Scientists

Explore social science research on gender disparities in scientific fields, examining historical perspectives, feminist critiques, and societal representations of women in STEM.

• YouTube
• 48 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

ICTP Mathematics

New Complex Analytic Methods in the Theory of Minimal Surfaces - Franc Forstnerič

Explore recent developments in minimal surface theory using complex analytic methods, covering global theory, Calabi-Yau problem, and complex Gauss map applications.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Frequency Function Methods in PDE I

Explore frequency function methods in partial differential equations, focusing on applications and theoretical foundations for solving complex mathematical problems.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Introduction to Interior Point Methods for Discrete Optimization, Lecture I

Explore interior point methods for optimization, their recent advancements, and applications in solving various continuous and combinatorial problems efficiently.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Marina Iliopoulou- Three Polynomial Methods for Point Counting, Lecture III

Explore advanced polynomial techniques for solving geometric problems, including Dvir's method, polynomial partitioning, and slice rank method in finite-field settings.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

An Overview on a Young Research Topic - Valuations on Spaces of Functions

Explore valuations on function spaces, from convex bodies to Lipschitz and convex functions. Learn about recent classifications and advancements in this emerging mathematical field.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Homogenization Methods for Weakly Compressible Elastic Materials Forward and...

Explore homogenization methods for weakly compressible elastic materials, focusing on modeling, effective elasticity tensors, and estimating tissue porosity using mechanical responses.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Convergence Theory of Adaptive Finite Element Methods

Explore the convergence theory of adaptive finite element methods for elliptic PDEs, including approximation classes and optimal convergence rates.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Adaptive Numerical Solution Methods for PDEs

Explore adaptive methods for PDEs, including error estimation, vertex bisection, and finite element techniques, enhancing numerical solutions for complex mathematical problems.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video