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Explore Khovanov homology, exotic smooth structures, and surfaces in four-manifolds. Discover applications in gauge theory and new approaches to longstanding mathematical problems.
Explore mathematical modeling of zoonotic diseases, from wildlife reservoirs to human spillover. Learn about Markov chains, branching processes, and their applications in predicting disease transmission patterns.
Explore the intersection of smooth 4D manifold invariants and quantum field theory, focusing on Yang-Mills theory, instantons, and topological invariants in this advanced mathematics lecture.
Explore the fascinating fusion of mathematics and sports analytics, uncovering how advanced algorithms and data science revolutionize game strategies and player performance.
Explore adaptive time-frequency methods for signal and image analysis, focusing on Fourier and wavelet transforms, with applications in electrocardiograms and birdsong decomposition.
Explore mathematical techniques used to detect lottery fraud, including statistical analysis and probability theory applied to real-world cases of lottery manipulation and misconduct.
Explore how instruction and resources shape post-secondary mathematics classrooms, focusing on textbooks, instrumentation, and planning in Linear Algebra and Calculus courses.
Explore advanced mathematical techniques for signal and image analysis, focusing on diffusion methods in manifold and fiber bundle learning with renowned mathematician Ingrid Daubechies.
Explore branching laws for non-compact orthogonal group representations, covering quantum field theory, classical results, and multiplicities in this advanced mathematics lecture.
Explore nonsmooth boundary value problems in complex function theory, covering BMO functions, Hilbert transforms, and solvability in bounded domains. Insights into open problems and recent developments.
Explore tensor decomposition as a powerful mathematical tool for analyzing complex data structures, with applications in neuroscience, gas detection, and communication patterns.
Explore optimization techniques and their applications in solving complex problems like the Traveling Salesman, with insights from William Cook's research and real-world examples.
Explore algebraic identities, complexity, and invariant theory with Avi Wigderson in this advanced mathematics lecture on proving and understanding polynomial relationships.
Explore geometric group theory and hyperbolicity in mathematics with Ruth Charney's insightful lecture, covering key concepts and their applications in various geometric spaces.
Explore algebraic structures on polytopes, delving into combinatorics, Hopf monoids, and generalized permutahedra. Gain insights into mathematical applications and current research directions.
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