Fields Institute Courses

Surreal Numbers and Transseries - Lecture 1

Explore surreal numbers and transseries in this graduate-level lecture, delving into advanced mathematical concepts and their applications in asymptotic analysis.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Surreal Numbers and Transseries

Explore the fascinating world of surreal numbers and transseries, delving into their properties, applications, and connections to tame geometry and analysis.

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

Taylor Coefficients of Smooth Functions - The Moment Summation Approach

Explore the moment summation approach for analyzing Taylor coefficients of smooth functions, delving into advanced mathematical concepts and techniques.

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

Tameness in Geometry and Arithmetic - Beyond O-Minimality

Explore geometric and arithmetic tameness beyond o-minimality, delving into advanced mathematical concepts and their applications in analysis and geometry.

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

Expanding the Ordered Group of Integers by Beatty Sequences

Explore Beatty sequences and their role in expanding the ordered group of integers. Gain insights into tame geometry and its applications in analysis and geometry.

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

Tameness Beyond O-Minimality

Explore advanced concepts in tame geometry, focusing on tameness beyond o-minimality, with insights from Philipp Hieronymi's research in mathematical logic and model theory.

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

Studying Wave Operators Using Complex Analysis - Some One-Dimensional and Multidimensional Results

Explore wave operators through complex analysis, examining one-dimensional and multidimensional results for advanced mathematical insights and applications.

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

Modelling of Disease Spread Through Heterogeneous Population

Explore spatial variability in disease spread using PDEs with state-dependent diffusion. Examine density-dependent infection rates and super-diffusive propagation, with a case study on coronavirus in Nova Scotia.

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

Primitives of Algebraic Functions

Explore algebraic function primitives with Jacob Tsimerman, delving into advanced mathematical concepts and their applications in geometric stability theory.

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

Investigating Transmission-Blocking Anti-malarial Drugs: A Mathematical Modelling Approach

Explore mathematical models assessing transmission-blocking antimalarial drugs' impact on disease control, focusing on treatment coverage, drug efficacy, and protective effects in malaria hotspots.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Recognizing Groups and Fields in Erdős Geometry and Model Theory

Explore geometric stability theory and tame geometry, focusing on recognizing groups and fields in Erdős geometry and model theory.

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

Dynamic Modelling and Health Inequities: Peril, Promise, Principles, and Practices - EDI Session 2

Explore dynamic modeling's impact on health equity, participatory approaches, and methodological priorities for inclusive research. Learn strategies to enhance model design and community engagement in health studies.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Tetrahedra and Exponential Diophantine Equations

Explore the fascinating connection between geometric shapes and complex mathematical equations in this insightful lecture by MIT's Bjorn Poonen.

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

Introductory Remarks and Integrating on Stacks

Explore geometric stability theory and tame geometry with experts Thomas Scanlon and François Loeser, focusing on integrating on stacks and related advanced mathematical concepts.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Topics in Applied Model Theory - Lecture 12

Explore advanced concepts in model theory, including risky closures, algebraic groups, and PAC fields, with expert insights from Zoé Chatzidakis of CNRS-ENS.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video