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
Formal & Physical Sciences MathematicsENGalois theory: Finite fieldsRichard E BorcherdsDecember 30, 2020 30 min★ ★ ★ ★ ★ 5/5Finite FieldsGalois TheorySplitting Fields
Formal & Physical Sciences MathematicsENGalois theory: Algebraic closureRichard E BorcherdsDecember 29, 2020 32 min★ ★ ★ ★ ★ 5/5Galois TheoryAlgebraic ClosureField Theory
Formal & Physical Sciences MathematicsENGalois theory: Splitting fieldsRichard E BorcherdsDecember 28, 2020 23 min★ ★ ★ ★ ★ 5/5Galois TheorySplitting FieldField Extension
Formal & Physical Sciences MathematicsENGalois theory: Field extensionsRichard E BorcherdsDecember 27, 2020 27 min★ ★ ★ ★ ★ 5/5Galois TheoryField ExtensionsAlgebraic Numbers
Formal & Physical Sciences MathematicsENEvolutionary equilibriumDr. Eitan FarchiDecember 27, 2020 15 min★ ★ ★ ★ ☆ 4/5Evolutionary Game TheoryNash EquilibriumEvolutionary Stable Strategy
Formal & Physical Sciences MathematicsENGalois theory: IntroductionRichard E BorcherdsDecember 26, 2020 24 min★ ★ ★ ★ ★ 5/5Galois TheoryMathematicsAlgebra
Formal & Physical Sciences MathematicsENThe Bernstein Sato polynomial: Holonomic modulesRichard E BorcherdsDecember 23, 2020 18 min★ ★ ★ ★ ☆ 4/5Bernstein-Sato PolynomialHolonomic ModulesWeyl Algebra
Formal & Physical Sciences MathematicsENThe medical test paradox, and redesigning Bayes' rule3Blue1BrownDecember 22, 2020 21 min★ ★ ★ ★ ★ 5/5BayesProbabilitéTests Médicaux
Formal & Physical Sciences MathematicsENThe Bernstein Sato polynomial: Bernstein's inequalityRichard E BorcherdsDecember 22, 2020 23 min★ ★ ★ ★ ☆ 4/5Bernstein-Sato PolynomialWeyl AlgebraBernstein's Inequality
Formal & Physical Sciences MathematicsENThe Bernstein Sato polynomial: IntroductionRichard E BorcherdsDecember 21, 2020 27 min★ ★ ★ ★ ★ 5/5Bernstein-Sato PolynomialD-ModulesAlgebraic Analysis
Formal & Physical Sciences MathematicsENCommutative algebra 66: Local complete intersection ringsRichard E BorcherdsDecember 20, 2020 30 min★ ★ ★ ★ ★ 5/5Commutative AlgebraLocal Complete IntersectionGorenstein Rings
Formal & Physical Sciences MathematicsENCommutative algebra 65: Fitting idealsRichard E BorcherdsDecember 19, 2020 21 min★ ★ ★ ★ ★ 5/5Commutative AlgebraFitting IdealsModule Theory
Formal & Physical Sciences MathematicsENPartial Differentiation: The Del Operator - BSc Physics Series - by Shilpy Bhullar (Hindi/English)Shilpy BhullarDecember 18, 2020 37 min★ ★ ★ ★ ☆ 4/5Partial DifferentiationDel OperatorVector Calculus
Formal & Physical Sciences MathematicsENCommutative algebra 64: Gorenstein ringsRichard E BorcherdsDecember 18, 2020 32 min★ ★ ★ ★ ★ 5/5Commutative AlgebraGorenstein RingsDuality
Formal & Physical Sciences MathematicsENCommutative algebra 63: Koszul complexRichard E BorcherdsDecember 17, 2020 23 min★ ★ ★ ★ ★ 5/5Koszul ComplexRegular SequenceCommutative Algebra
Formal & Physical Sciences MathematicsENCommutative algebra 62: Cohen Macaulay local ringsRichard E BorcherdsDecember 16, 2020 31 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraCohen-MacaulayLocal Rings
Formal & Physical Sciences MathematicsENCommutative algebra 61: Examples of regular local ringsRichard E BorcherdsDecember 15, 2020 22 min★ ★ ★ ★ ★ 5/5Commutative AlgebraRegular Local RingsAlgebraic Geometry
Formal & Physical Sciences MathematicsENCommutative algebra 60: Regular local ringsRichard E BorcherdsDecember 15, 2020 19 min★ ★ ★ ★ ★ 5/5Commutative AlgebraRegular Local RingsAlgebraic Geometry
Formal & Physical Sciences MathematicsENCommutative algebra 59: Krull's principal ideal theoremRichard E BorcherdsDecember 14, 2020 16 min★ ★ ★ ★ ★ 5/5Commutative AlgebraKrull's Principal Ideal TheoremDimension Theory
Formal & Physical Sciences MathematicsENCommutative algebra 58: System of parameters versus KrullRichard E BorcherdsDecember 13, 2020 18 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraKrull DimensionSystem of Parameters
Formal & Physical Sciences MathematicsENCommutative algebra 57: Krull versus HilbertRichard E BorcherdsDecember 13, 2020 12 min★ ★ ★ ★ ★ 5/5Commutative AlgebraKrull DimensionHilbert Polynomial
Formal & Physical Sciences MathematicsENCommutative algebra 55: Dimension of local ringsRichard E BorcherdsDecember 12, 2020 16 min★ ★ ★ ★ ★ 5/5Commutative AlgebraLocal RingsKrull Dimension
Formal & Physical Sciences MathematicsENCommutative algebra 54: Hilbert polynomialsRichard E BorcherdsDecember 11, 2020 21 min★ ★ ★ ★ ★ 5/5Hilbert PolynomialCommutative AlgebraGraded Modules
Formal & Physical Sciences MathematicsENCommutative algebra 53: Dimension Introductory surveyRichard E BorcherdsDecember 10, 2020 35 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraDimension TheoryKrull Dimension
Formal & Physical Sciences MathematicsENCommutative algebra 52: Flatness of completionsRichard E BorcherdsDecember 9, 2020 18 min★ ★ ★ ★ ★ 5/5Commutative AlgebraFlat ModulesCompletion
Formal & Physical Sciences MathematicsENRepresentation theory: Frobenius groupsRichard E BorcherdsDecember 8, 2020 19 min★ ★ ★ ★ ★ 5/5Frobenius GroupRepresentation TheoryInduced Representation
Formal & Physical Sciences MathematicsENRepresentation theory: Induced representationsRichard E BorcherdsDecember 7, 2020 19 min★ ★ ★ ★ ★ 5/5Representation TheoryInduced RepresentationAdjoint Functors