Research Methods Courses

Hausdorff Center for Mathematics

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

Explore three powerful polynomial techniques for point counting: Dvir's method, polynomial partitioning, and slice rank method, with applications in finite fields and geometry.

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

Hausdorff Center for Mathematics

Deterministic Solution of the Boltzmann Equation - Fast Spectral Methods

Explore fast Fourier spectral methods for solving the Boltzmann equation, addressing computational challenges and showcasing applications in rarefied gas dynamics.

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

Hausdorff Center for Mathematics

Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids

Explores semi-Lagrangian discretisation of Monge-Ampère operator on P1 finite element spaces, discussing challenges and solutions for numerical methods in solving Monge-Ampère equations, with applications in inverse reflector problems.

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

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 9

Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques from standard to unconventional, with practical examples and applications in mathematics.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• 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

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
• On-Demand
• Free Video

Graham Neubig

Advanced NLP: Adversarial Methods for Text

Explore advanced NLP techniques including adversarial networks, discrete outputs, and input manipulation for robust language models and applications.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Graham Neubig

CMU Advanced NLP: Pre-training Methods

Explore advanced NLP concepts including multi-task learning, sentence embeddings, BERT variants, and language modeling objectives. Gain insights into cutting-edge techniques for natural language processing.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Graham Neubig

Neural Nets for NLP 2021 - Adversarial Methods

Explore generative adversarial networks, adversarial feature learning, and adversarial attacks in NLP. Learn cutting-edge techniques for robust and domain-invariant neural network models in natural language processing.

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