Schmid College, Chapman University Courses

Ultracompletions

Explore the concept of ultracategories in mathematics, from Makkai's original notion to Lurie's refinement, with insights on their applications, differences, and algebraic structures.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Axiomatic Collaborations in the Foundations of Geometry at the University of Chicago, 1900-1905

Explore Professor Lorenat's examination of Oswald Veblen's archival notes from E.H. Moore's 1901 seminar, revealing how American scholars adapted European mathematics through graphic notation and postulate systems.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Quintics, Platonic Solids and Rogers-Ramanujan Identities

Explore the mysterious connections between quintics, Platonic solids, Rogers-Ramanujan identities, toric varieties, and ADE classification in this mathematical seminar that reveals both explicit and subtle relationships.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

On the Philosophy of Natural Numbers

Explore the philosophical foundations of natural numbers as Professor Vivanco develops a realist theory viewing numbers as cardinality properties of pluralities, examining their objective existence and foundational role in mathematics.

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

Point Set Topology is a Disease from Which the Human Race Will Soon Recover

Explore locale theory as an alternative to point set topology, examining its foundations, applications, and recent developments through Professor Moshier's comprehensive examination of spaces as lattices of parts rather than collections of points.

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

Causal Modeling in Neuroscience

Explore advanced causal modeling techniques and their applications in neuroscience research, focusing on theoretical frameworks and practical implementations for understanding brain mechanisms.

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

The Circuit Concept in Neuroscience - Causation, Constraints, and Computation

Explore the foundational role of circuits in neuroscience through an analysis of causation, constraints, and computational aspects, examining their impact on brain function and neural processes.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Transient Stability in Attractor Networks as a Mechanism for Perceptual Decision Making

Delve into the neural mechanisms behind perceptual decision-making through attractor networks, exploring how transient stability influences our brain's decision processes and cognitive functions.

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

Towards Quantifying Qualitative Experience: Introspective Psychophysics

Explore groundbreaking methods in introspective psychophysics to measure and quantify subjective human experiences and consciousness through innovative scientific approaches.

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

Episodic Memory in Aging and Alzheimer's Disease

Discover the latest research on memory changes in aging and Alzheimer's, exploring neural mechanisms, diagnostic approaches, and potential therapeutic interventions for cognitive decline.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Dynamical Systems as Mechanistic, Explanatory Models in Neuroscience

Explore how dynamical systems serve as mechanistic models in neuroscience through Stanford researcher William Newsome's analysis of theoretical frameworks and practical applications in brain science.

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

Neuroscience Beyond Neurons - How Somatic Bioelectricity Implements an Unconventional Intelligence

Explore groundbreaking research on somatic bioelectricity and unconventional intelligence, examining how bioelectric networks in living systems contribute to cognitive processes beyond traditional neural mechanisms.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Geometrical Models for the Functional Architecture of the Visual Area V1

Explore geometric modeling principles for understanding visual processing in the brain's V1 area, focusing on functional architecture and neural mechanisms of visual perception.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Inference in Neuroimaging and the Problem of Cognitive Ontology

Explore the complex relationship between neuroimaging data interpretation and cognitive frameworks through expert analysis of inference methods and ontological challenges in neuroscience research.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

A Spiking-Neural-Network Model for Slow Ramping in the Human Brain

Explore groundbreaking research on neural networks and brain activity patterns, focusing on slow-ramping mechanisms in human neural processes and their computational modeling implications.

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