Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Courses

Extremal Statistics in Biology - Growth, Search and Disorder

Explore extremal statistics applications in biological systems, covering growth patterns, search processes, and disorder phenomena through mathematical physics approaches.

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

Statistical Physics of Growing Systems

Explore statistical physics principles applied to growing biological systems, from cell colony growth and DNA replication coordination to epidemic spread and tissue development patterns.

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

Reconciling Conflicting Selection Pressures in the Plant Self-Incompatibility System

Explore how plants balance opposing evolutionary forces in self-incompatibility systems through molecular recognition, using theoretical frameworks and genomic data analysis.

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

Extremal Events Dictate Population Growth Rate Inference

Explore how extremal statistical events in microbial populations reveal the complex relationship between single-cell generation times and population-level growth rates.

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

Field-Theoretical Perspectives on Morphogenesis in Hydra Regeneration

Explore field-theoretical framework modeling Hydra regeneration through calcium-curvature coupling, revealing morphological transitions as phase-like phenomena with experimental validation.

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

A Branching Particle System as a Model of FKPP Fronts

Explore branching particle systems modeling FKPP population dynamics, wave patterns, and genealogical structures in cooperating populations with Allee effects.

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

Extreme Value Statistics and Length Control of Filaments in Cells

Explore how cells control filament length through extreme value statistics, examining actin cables in yeast and universal assembly mechanisms across cellular structures.

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

Finding Discrete Subspaces of Hausdorff CSC Spaces

Explore the Ginsburg-Sands theorem for Hausdorff spaces in reverse mathematics, examining discrete subspaces, Weihrauch degrees, and effective variations in topology.

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

The Big, Bigger, and Biggest Five of Reverse Mathematics Part II - Metric Spaces

Explore advanced reverse mathematics of compact metric spaces without separability conditions, uncovering connections to higher-order axioms and computational complexity.

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

The Big, Bigger, and Biggest Five of Reverse Mathematics Part I - Real Analysis

Explore reverse mathematics of real analysis, uncovering equivalences between second-order Big Five and third-order theorems for discontinuous functions and new classification systems.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Iterated Jump Noncomputability and Compactness

Explore iterated jump versions of key mathematical principles including atomic model theorem, diagonally noncomputable principle, and Kőnig's lemmas in reverse mathematics.

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

Another Look at the Relation Between Higher Order Arithmetic and Set Theory

Explore advanced connections between higher-order arithmetic and set theory through tree interpretations, powerset iterations, and conservativity results in reverse mathematics.

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

Scott Ranks of Models of Fragments of PA

Explore Scott ranks of models in fragments of Peano Arithmetic through advanced mathematical logic and model theory techniques.

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

Revisiting the Reverse Mathematics of the Tietze Extension Theorem - Preserving Suprema

Explore advanced reverse mathematics through the Tietze extension theorem and its suprema-preserving properties in this specialized mathematical analysis.

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

Finite Combinatorics and Fragments of Arithmetic

Explore the intricate connections between finite combinatorics and arithmetic fragments in this advanced mathematical workshop lecture.

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