Formal & Physical Sciences MathematicsENBirch Swinnerton-Dyer conjecture: IntroductionRichard E BorcherdsFebruary 8, 2021 37 min★ ★ ★ ★ ★ 5/5Birch Swinnerton-Dyer ConjectureElliptic CurvesL-Functions
Formal & Physical Sciences PhysicsENThe teapot test for quantum computersRichard E BorcherdsFebruary 7, 2021 12 min★ ★ ★ ★ ☆ 4/5Quantum ComputingQuantum SupremacyTeapot Test
Formal & Physical Sciences MathematicsENTheory of numbers: RSA cryptographyRichard E BorcherdsFebruary 6, 2021 24 min★ ★ ★ ★ ★ 5/5RSACryptographyNumber Theory
Formal & Physical Sciences MathematicsENDedekind domains: IntroductionRichard E BorcherdsFebruary 5, 2021 24 min★ ★ ★ ★ ★ 5/5Dedekind DomainsCommutative AlgebraAlgebraic Number Theory
Formal & Physical Sciences MathematicsENIs the Conway knot slice? (After Lisa Piccirillo)Richard E BorcherdsFebruary 4, 2021 24 min★ ★ ★ ★ ☆ 4/5Knot TheorySlice KnotsConway Knot
Formal & Physical Sciences MathematicsENWilson's theoremRichard E BorcherdsFebruary 3, 2021 28 min★ ★ ★ ★ ★ 5/5Number TheoryWilson's TheoremPrimitive Roots
Formal & Physical Sciences MathematicsENTheory of numbers: Congruences: Primitive rootsRichard E BorcherdsFebruary 2, 2021 31 min★ ★ ★ ★ ★ 5/5Number TheoryPrimitive RootsCongruences
Formal & Physical Sciences MathematicsENTheory of numbers: Congruences: Chinese remainder theoremRichard E BorcherdsFebruary 1, 2021 29 min★ ★ ★ ★ ★ 5/5Chinese Remainder TheoremNumber TheoryCongruences
Formal & Physical Sciences MathematicsENTheory of numbers: Congruences: Euler's theoremRichard E BorcherdsJanuary 31, 2021 26 min★ ★ ★ ★ ★ 5/5Euler's TheoremNumber TheoryGroup Theory
Formal & Physical Sciences MathematicsENTheory of numbers: Prime testsRichard E BorcherdsJanuary 30, 2021 19 min★ ★ ★ ★ ★ 5/5Number TheoryPrimality TestFermat's Little Theorem
Formal & Physical Sciences MathematicsENTheory of numbers: Fermat's theoremRichard E BorcherdsJanuary 29, 2021 27 min★ ★ ★ ★ ★ 5/5Fermat's TheoremNumber TheoryModular Arithmetic
Formal & Physical Sciences MathematicsENTheory of numbers: Congruences: IntroductionRichard E BorcherdsJanuary 28, 2021 25 min★ ★ ★ ★ ☆ 4/5CongruencesNumber TheoryModular Arithmetic
Formal & Physical Sciences MathematicsENTheory of numbers: Dirichlet seriesRichard E BorcherdsJanuary 27, 2021 38 min★ ★ ★ ★ ★ 5/5Dirichlet SeriesArithmetic FunctionsEuler Product
Formal & Physical Sciences MathematicsENTheory of numbers: Multiplicative functionsRichard E BorcherdsJanuary 26, 2021 30 min★ ★ ★ ★ ★ 5/5Number TheoryMultiplicative FunctionsDivisor Function
Formal & Physical Sciences MathematicsENTheory of numbers: Fundamental theorem of arithmeticRichard E BorcherdsJanuary 25, 2021 24 min★ ★ ★ ★ ★ 5/5Number TheoryFundamental Theorem of ArithmeticEuclid's Algorithm
Formal & Physical Sciences MathematicsENTheory of numbers: Linear Diophantine equationsRichard E BorcherdsJanuary 24, 2021 26 min★ ★ ★ ★ ★ 5/5Diophantine EquationsEuclid's AlgorithmNumber Theory
Formal & Physical Sciences MathematicsENTheory of numbers: Euclid's algorithmRichard E BorcherdsJanuary 23, 2021 26 min★ ★ ★ ★ ★ 5/5Euclid's AlgorithmGreatest Common DivisorNumber Theory
Formal & Physical Sciences MathematicsENTheory of numbers: Euclid's theoremRichard E BorcherdsJanuary 22, 2021 21 min★ ★ ★ ★ ★ 5/5Number TheoryPrimesEuclid
Formal & Physical Sciences MathematicsENTheory of numbers: IntroductionRichard E BorcherdsJanuary 21, 2021 49 min★ ★ ★ ★ ★ 5/5Number TheoryPrimesDiophantine Equations
Formal & Physical Sciences Computing & CybersecurityENP=NP?Richard E BorcherdsJanuary 20, 2021 39 min★ ★ ★ ★ ☆ 4/5P vs NPComputational ComplexityPolynomial Time
Formal & Physical Sciences MathematicsENGalois theory: Transcendental extensionsRichard E BorcherdsJanuary 19, 2021 34 min★ ★ ★ ★ ★ 5/5Galois TheoryTranscendental ExtensionsTranscendence Basis
Formal & Physical Sciences MathematicsENGalois theory: Infinite Galois extensionsRichard E BorcherdsJanuary 18, 2021 36 min★ ★ ★ ★ ★ 5/5Galois TheoryInfinite ExtensionsProfinite Groups
Formal & Physical Sciences MathematicsENGalois theory: Hilbert's theorem 90Richard E BorcherdsJanuary 17, 2021 35 min★ ★ ★ ★ ★ 5/5Galois TheoryHilbert's Theorem 90Group Cohomology
Formal & Physical Sciences MathematicsENGalois theory: DiscriminantsRichard E BorcherdsJanuary 16, 2021 17 min★ ★ ★ ★ ★ 5/5Galois TheoryDiscriminantField Extension
Formal & Physical Sciences MathematicsENGalois theory: Norm and traceRichard E BorcherdsJanuary 15, 2021 24 min★ ★ ★ ★ ★ 5/5Galois TheoryField ExtensionNorm
Formal & Physical Sciences MathematicsENGalois theory: Wedderburn's theoremRichard E BorcherdsJanuary 14, 2021 14 min★ ★ ★ ★ ★ 5/5Wedderburn's TheoremDivision AlgebraFinite Field
Formal & Physical Sciences MathematicsENGalois theory: Cyclotomic polynomialsRichard E BorcherdsJanuary 13, 2021 22 min★ ★ ★ ★ ★ 5/5Galois TheoryCyclotomic PolynomialsIrreducibility
Formal & Physical Sciences MathematicsENGalois theory: Frobenius automorphismRichard E BorcherdsJanuary 12, 2021 21 min★ ★ ★ ★ ★ 5/5Galois TheoryFrobenius AutomorphismFinite Fields
Formal & Physical Sciences MathematicsENGalois theory: Cubics and quarticsRichard E BorcherdsJanuary 11, 2021 17 min★ ★ ★ ★ ★ 5/5Galois TheoryCubic EquationsQuartic Equations
Formal & Physical Sciences MathematicsENGalois theory: Artin Schreier extensionsRichard E BorcherdsJanuary 10, 2021 19 min★ ★ ★ ★ ★ 5/5Galois TheoryArtin-SchreierField Extensions
Formal & Physical Sciences MathematicsENGalois theory: Kummer extensionsRichard E BorcherdsJanuary 9, 2021 22 min★ ★ ★ ★ ★ 5/5Galois TheoryKummer ExtensionsCyclic Extensions
Formal & Physical Sciences MathematicsENGalois theory: Abel's theoremRichard E BorcherdsJanuary 8, 2021 27 min★ ★ ★ ★ ★ 5/5Galois TheoryAbel's TheoremQuintic
Formal & Physical Sciences MathematicsENGalois theory: Primitive elementsRichard E BorcherdsJanuary 7, 2021 15 min★ ★ ★ ★ ★ 5/5Galois TheoryPrimitive ElementField Extension
Formal & Physical Sciences MathematicsENGalois theory: Fundamental theorem of algebraRichard E BorcherdsJanuary 6, 2021 12 min★ ★ ★ ★ ★ 5/5Galois TheoryFundamental Theorem of AlgebraAlgebraically Closed Field
Formal & Physical Sciences MathematicsENGalois theory: HeptadecagonRichard E BorcherdsJanuary 5, 2021 23 min★ ★ ★ ★ ★ 5/5Galois TheoryConstructible PolygonsHeptadecagon
Formal & Physical Sciences MathematicsENGalois theory: Main theoremRichard E BorcherdsJanuary 4, 2021 18 min★ ★ ★ ★ ★ 5/5Galois TheoryField TheoryGroup Theory
Formal & Physical Sciences MathematicsENGalois theory: Examples of Galois extensionsRichard E BorcherdsJanuary 3, 2021 20 min★ ★ ★ ★ ★ 5/5Galois TheoryField ExtensionsGalois Group
Formal & Physical Sciences MathematicsENGalois theory: Galois extensionsRichard E BorcherdsJanuary 2, 2021 27 min★ ★ ★ ★ ★ 5/5Galois TheoryField ExtensionsAlgebra
Formal & Physical Sciences MathematicsENGalois theory: Separable extensionsRichard E BorcherdsJanuary 1, 2021 13 min★ ★ ★ ★ ★ 5/5Galois TheorySeparable ExtensionsField Theory
Formal & Physical Sciences MathematicsENGalois theory: Normal extensionsRichard E BorcherdsDecember 31, 2020 19 min★ ★ ★ ★ ★ 5/5Galois TheoryNormal ExtensionsField Theory