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Mathematics
Discrete Mathematics

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Kimberly Brehm
Discrete Math II - Combinatorics

Explore advanced combinatorics, including permutations, generating functions, recurrence relations, graph theory, and algorithms, enhancing problem-solving skills in discrete mathematics.
- YouTube
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Kimberly Brehm
Discrete Math I

Comprehensive exploration of discrete mathematics, covering logic, sets, functions, algorithms, number theory, induction, counting, probability, relations, and graphs with practical applications.
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Isabella Novik - Face Numbers - The Upper Bound Side of the Story

Explore face numbers in simplicial polytopes and sphere triangulations, examining upper bounds, maximizers, and central symmetry implications. Recent developments and open problems are discussed.
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Dr Trefor Bazett
Why Complete Chaos Is Impossible - Ramsey Theory

Explore Ramsey Theory and its applications in high-dimensional tic-tac-toe, revealing how order emerges in seemingly chaotic systems through theorems like Hales-Jewett and Van der Waerden.
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Simons Institute
Applications in Extremal Combinatorics - Lecture 2

Explore advanced concepts in extremal combinatorics, focusing on analytical techniques and their applications in theoretical computer science.
- YouTube
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Simons Institute
Applications in Extremal Combinatorics - Lecture 1

Explore advanced concepts in extremal combinatorics, focusing on analytical techniques and their applications in theoretical computer science.
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Simons Institute
P-Smallness of Increasing Families

Explore increasing families in finite sets, thresholds, and p-smallness. Learn about p-biased product measures and their applications in random discrete structures.
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Institute for Advanced Study
Associativity Testing - Ben Green

Explore associativity testing in discrete mathematics, covering key concepts, theorems, and applications in group theory and additive combinatorics.
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An Introduction to Lifted Expander Graphs - Fernando Granha Jeronimo

Explore lifted expander graphs, their construction, and applications in theoretical computer science. Learn about symmetry structures, coding theory implications, and recent advancements in this field.
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An Introduction to Determinantal Point Processes - John C Urschel

Explore determinantal point processes: definition, examples, and applications in random matrix theory, combinatorics, and machine learning. Survey key results and open questions.
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Linear Spaces of Matrices - Avi Wigderson

Explore linear spaces of matrices with Avi Wigderson, covering motivations, structural results, algorithms, and open problems in mathematics and computer science.
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Institute for Advanced Study
On Chen’s Recent Breakthrough on the Kannan-Lovasz-Simonovits Conjecture and Bourgain's Slicing Problem - Part III

Explore Chen's breakthrough on the KLS conjecture and Bourgain's slicing problem, covering key mathematical concepts, historical context, and implications for discrete mathematics and computer science.
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Hausdorff Center for Mathematics
Extensions and Ramifications of Discrete Convexity Concepts

Explore discrete convexity concepts, including L-convex and M-convex functions, their properties, and related notions in combinatorial optimization and discrete mathematics.
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Confreaks
The Math Every Programmer Needs - Practical Applications of Discrete Math in Ruby

Discover practical discrete math concepts to enhance your programming skills, from Boolean algebra to graph theory, without complex equations.
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Michael Penn
Trees, Leaves, and Euler's Number e

Explore the fascinating connection between trees, leaves, and the mathematical constant e in this engaging mathematical journey.
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