Mathematical and Computational Medicine: From Data to Models and Back
Explore the intersection of mathematics, computation, and medicine in this 16-minute conference talk by Andrew Dhawan from Cleveland Clinic. Delve into the dynamic relationship between data and models in the field of mathematical and computational medici…
A Mathematical Model of Evolution of Drug-Induced Resistance
Explore a 55-minute lecture on the mathematical modeling of drug-induced resistance evolution, presented by Eduardo Sontag from Northeastern University. Delve into the complex interplay between cancer treatment and the development of drug resistance, as…
Mathematical Modeling of Blood Cancer and Premalignancy
Explore a 33-minute lecture on mathematical modeling of blood cancer and premalignancy presented by Morten Andersen and Jordan Snyder from Roskilde University. Delivered on October 3, 2024, as part of the Ecology and Evolution of Cancer series and the Th…
Estimating Clonal Dynamics Using Coalescent Theory and Branching Processes
Explore a 39-minute lecture on estimating clonal dynamics through coalescent theory and branching processes, delivered by Kit Curtius from the University of California, San Diego. Delve into the intersection of mathematics and oncology as part of the Fie…
Defining Selection in Somatic Evolution by Modeling Tumor-Stromal Interactions
Explore the complex dynamics of tumor-stromal interactions and their role in somatic evolution through a 35-minute lecture by David Basanta from Moffitt Cancer Center. Delve into the fascinating field of mathematical oncology as part of the Thematic Prog…
A Kinetic-Hydrodynamic Coupling Method for Self-Interacting Dark Matter (SIDM)
Explore a cutting-edge kinetic-hydrodynamic coupling method for Self-Interacting Dark Matter (SIDM) in this 26-minute conference talk by Sarah Schon from The Pennsylvania State University. Delve into the latest advancements in dark matter research and ga…
Certain Polytopes Associated to Algebraic Integer Conjugates
Explore the fascinating world of algebraic number theory in this 40-minute Fields Number Theory Seminar presented by Samprit Ghosh from the University of Calgary. Delve into the intriguing relationship between certain polytopes and algebraic integer conj…
Fighting Drug Resistance with Math
Explore a compelling lecture on combating drug resistance through mathematical approaches. Delve into the innovative research presented by Doron Levy from the University of Maryland College Park as part of the Thematic Program on Mathematical Oncology. G…
The Shape of Relations: Knots and Other Stories in Topological Data Analysis
Explore the fascinating world of Topological Data Analysis in this 59-minute conference talk by Radmila Sazdanovic, presented by the Applied Algebraic Topology Network. Discover how TDA tools can uncover relevant features in data by analyzing the shape o…
Cohomological Hall Algebra of Cyclic Quivers and Integral Form of Affine Yangians
Explore the intricate world of Hall algebra-type constructions and their applications in a lecture by Shivang Jindal from the University of Edinburgh. Delve into the complexities of studying algebras related to the moduli space of representations of the…
A Polynomial Bogolyubov-Type Result for the Special Linear Group
Explore a mathematical lecture on a polynomial Bogolyubov-type result for the special linear group. Delve into the analogy between subset properties in finite dimensional vector spaces and the special linear group over a finite field. Learn about the ach…
Dimension-Free Estimates for Low Degree Functions on the Hamming Cube
Explore dimension-free L^p inequalities for low degree scalar-valued functions on the Hamming cube in this 1-hour 5-minute lecture. Delve into Bernstein-Markov type inequalities for functions with spectrum bounded from above, examining cases for p>2 and…
Entropy and Curvature of Markov Chains on Metric Spaces
Explore the Peres-Tetali conjecture and its implications for Markov chains in this 57-minute lecture by Justin Salez from the Hausdorff Center for Mathematics. Delve into the relationship between contraction in Wasserstein distance and relative entropy f…
Vector-Valued Littlewood-Paley-Stein Theory for Semigroups
Explore the vector-valued Littlewood-Paley-Stein theory for semigroups in this comprehensive 59-minute survey talk. Begin with the classical Littlewood-Paley-Stein inequality for symmetric diffusion semigroups before delving into the vector-valued settin…
Solving Routing Problems Using Quantum and Hybrid Algorithms
Explore quantum and hybrid algorithms for solving NP-hard routing problems, comparing them with classical solvers and discussing future research directions.
Did You Behave in Real-Time? A Probabilistic Evaluation with Trace Data
Explore probabilistic evaluation methods for real-time behavior using trace data, enhancing system performance analysis and reliability assessment.
Differential Equations, Geometry and Arithmetic - Lecture 2
Explore advanced concepts in differential equations, geometry, and arithmetic with a focus on algebraicity and transcendence in singular differential equations.
Differential Equations, Geometry and Arithmetic - Lecture 1
Explore connections between differential equations, geometry, and arithmetic in this advanced mathematics lecture by Duco van Straten.
Are Entropy Bounds Epistemic?
Explore interpretations of covariant entropy bounds in quantum gravity, examining ontological vs epistemic perspectives and their implications for gravitational phenomena.
A Higher Spin Statistics Theorem for Invertible Quantum Field Theories
Explore advanced concepts in quantum field theory, focusing on higher spin statistics and invertible theories. Gain insights from expert Lukas Mueller's seminar on geometry and physics.
Combining Machine Learning and Modeling Approaches to Forecasting Disease Progression
Explore innovative forecasting techniques for disease progression by integrating machine learning with modeling approaches in this cutting-edge presentation.