Institute for Pure & Applied Mathematics (IPAM) Courses

Exact Exponents for Directed Distances in Planar Maps in the λγλ-LQG Universality Class

Discover exact scaling exponents for directed graph distances in random bipolar-oriented planar maps within the γ-Liouville quantum gravity universality class framework.

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

Directed Distances in Bipolar-Oriented Triangulations - Exact Exponent and Scaling Limit

Explore directed path analysis in random planar maps, uncovering exact scaling exponents and Lévy process limits in bipolar-oriented triangulations with applications to quantum gravity.

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

Brownian Bubble Tea - Conformally-Invariant Measures and Brownian Loops

Explore Brownian loop measure and bubble tea processes in probability theory, connecting SLE curves, foliations, and Loewner energy applications in geometric probability.

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

Computability and Complexity in Complex Analysis - from 2007 to 2026

Explore two decades of progress in computational aspects of complex analysis, covering conformal maps, harmonic measure, and Carathéodory extension with leading research insights.

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

Quantum Field Theory Approach to Selberg-Dyson Integrals with Large Variables on Jordan Curves

Explore quantum field theory approaches to Selberg-Dyson integrals with logarithmic particle interactions on Jordan curves and their conformal covariance properties.

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

Machine Assistance and the Future of Research Mathematics

Explore how AI and machine learning are transforming mathematical research through formal proof assistants, language models, and collaborative platforms with renowned mathematician Terry Tao.

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

LIGO - 10 Years of New Science

Discover how gravitational wave detection through LIGO has revolutionized astrophysics over the past decade, exploring breakthrough discoveries and emerging scientific frontiers.

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

Does Progress in Earth System Modeling Require More Data, More Compute, or Both?

Explore the critical resources driving Earth system modeling progress, examining how data and compute limitations impact weather forecasting, climate projection, and machine learning approaches.

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

What is Being Transformed by AI in Higher Education? - Everything

Explore how AI is revolutionizing every aspect of higher education, from teaching methods to research practices, in this insightful presentation by a UCLA expert.

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

Systematic Evolution of Ligands by Exponential Enrichment - The Need for AI

Discover how AI revolutionizes SELEX (Systematic Evolution of Ligands by Exponential Enrichment) for accelerated scientific discovery in molecular biology and drug development.

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

Deeper Compilation in the Active Volume Architecture

Discover advanced quantum compilation techniques for active volume architecture, achieving 5× speedup through explicit operation scheduling and accurate resource estimation methods.

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

Application Driven Evaluation of Fault-Tolerant Quantum Computing Architectures

Explore fault-tolerant quantum computing architectures through application-driven evaluation using the pyLIQTR framework for QEC codes and algorithm co-design.

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

Holistic Approaches to Quantum Computation - Software and Algorithmics

Explore quantum algorithmic research through numerical procedures and interconnected classical-quantum components for electronic structure problems.

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

FLuid Allocation of Surface code Qubits (FLASQ) Cost Model for Early Fault-Tolerant Quantum Algorithms

Explore the FLASQ cost model for optimizing early fault-tolerant quantum algorithms, addressing spacetime costs and routing constraints in 2D surface code architectures.

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

Ground State Preparation for Near-Term Devices Using System-Bath Coupling Dynamics

Discover quantum ground state preparation using system-bath coupling with minimal resources - single ancilla qubit and forward simulation for near-term quantum devices.

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