Why Is Doubling Cubes and Squaring Circles Impossible?
Explore the 2000-year journey to prove the impossibility of doubling cubes, trisecting angles, constructing regular heptagons, and squaring circles using only a ruler and compass, from ancient Greece to modern mathematics.
The Moessner Miracle - Why Wasn't This Discovered for Over 2000 Years?
Explore the fascinating Moessner Miracle, a mathematical gem discovered 70 years ago. Learn proofs, amazing facts, and connections to other mathematical concepts in this accessible and engaging presentation.
Explaining the Bizarre Pattern in Making Change for a Googol Dollars - Infinite Generating Functions
Explore the fascinating mathematics behind making change for a googol dollars, uncovering surprising patterns and using infinite generating functions to solve this complex problem.
How Did Ramanujan Solve the Strand Puzzle?
Explore Ramanujan's genius through an infinite fraction puzzle, delving into continued fractions, Pell equations, and the Euclidean algorithm. Gain unique insights into mathematical concepts and problem-solving techniques.
Number Theory - Maths Olympiads
Comprehensive number theory preparation for RMO and PRMO Math Olympiads, covering key concepts and problem-solving techniques to excel in competitive mathematics.
Discrete Math 1
Explore fundamental concepts in discrete mathematics, including set theory, logic, counting, functions, number theory, and formal languages. Develop problem-solving skills through proofs and practical examples.
Pre-Algebra Lesson - Prime and Composite Numbers | Factoring Whole Numbers Using a Factor Tree
Explore prime and composite numbers, learn to identify them, and master factoring whole numbers using factor trees in this comprehensive pre-algebra lesson.
Why Do Prime Numbers Make These Spirals? - Dirichlet’s Theorem, Pi Approximations, and More
Explore the fascinating patterns of prime numbers in spirals, delving into Dirichlet's theorem, pi approximations, and prime distributions through engaging animations and mathematical insights.
Visualizing the Riemann Zeta Function and Analytic Continuation
Explore the Riemann zeta function's visualization, analytic continuation, and its connection to the famous Riemann hypothesis through engaging animations and clear explanations.
On the Kudla-Rapoport Conjecture - Chao Li
Explore the Kudla-Rapoport conjecture, Hurwitz class numbers, and their connections to Eisenstein series and L-functions in this advanced number theory seminar by Chao Li.
Eisenstein Series and the Cubic Moment for PGL(2) - Paul Nelson
Explore Eisenstein series, cubic moments for PGL(2), and their applications in number theory. Gain insights into spectral expansions, hypergeometric functions, and improved bounds.
Fluid Equations - Regularity and Kolmogorov’s Turbulence Theory
Explore fluid dynamics, Navier-Stokes equations, and Kolmogorov's turbulence theory. Gain insights into regularity results and mathematical confirmations of phenomenological theories.
The Unbounded Denominators Conjecture - Yunqing Tang
Explore the unbounded denominators conjecture in modular forms, its implications, and a new proof approach using arithmetic algebraization theorem.
Ramanujan Conjecture and the Density Hypothesis - Shai Evra
Explore the Ramanujan Conjecture and Density Hypothesis in number theory, examining their evolution, generalizations, and connections to automorphic forms and classical groups.
Strong Approximation for the Markoff Equation via Nonabelian Level Structures - William Chen
Explore strong approximation for the Markoff equation through nonabelian level structures on elliptic curves, delving into representation varieties and modular interpretations.
Associativity Testing - Ben Green
Explore associativity testing in discrete mathematics, covering key concepts, theorems, and applications in group theory and additive combinatorics.
Representations of P-Adic Groups and Applications - Jessica Fintzen
Explore p-adic group representations, supercuspidal representations, and their applications in number theory with Jessica Fintzen's in-depth seminar on advanced mathematical concepts.
An Asymptotic Version of the Prime Power Conjecture for Perfect Difference Sets - Sarah Peluse
Explore prime power conjecture for perfect difference sets, focusing on asymptotic results and proof techniques in number theory and combinatorics.
Independence of ℓ for Frobenius Conjugacy Classes Attached to Abelian Varieties - Rong Zhou
Explore Frobenius conjugacy classes in abelian varieties, focusing on independence of ℓ, Mumford-Tate groups, and connections to Shimura varieties and CM liftings.
A Geometric View on Iwasawa Theory - Mladen Dimitrov
Explore a geometric perspective on Iwasawa theory, covering higher dimensions, periodic representations, and key concepts in number theory with Mladen Dimitrov from Université de Lille.
Primes and Knots - Akshay Venkatesh
Explore surprising parallels between number theory and 3D geometry, uncovering connections that continue to shape mathematical research.