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 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 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 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
Formal & Physical Sciences MathematicsENCommutative algebra 51: Hensel's lemma continuedRichard E BorcherdsDecember 6, 2020 22 min★ ★ ★ ★ ★ 5/5Commutative AlgebraHensel's LemmaP-Adic Numbers
Formal & Physical Sciences MathematicsENCommutative algebra 50: Hensel's lemmaRichard E BorcherdsDecember 5, 2020 26 min★ ★ ★ ★ ★ 5/5Hensel's LemmaCommutative AlgebraP-Adic Numbers
Formal & Physical Sciences MathematicsENChow ring 2: Chern classesRichard E BorcherdsDecember 3, 2020 33 min★ ★ ★ ★ ★ 5/5Chern ClassesChow RingAlgebraic Geometry
Formal & Physical Sciences MathematicsENChow ring 1. Introduction.Richard E BorcherdsDecember 1, 2020 26 min★ ★ ★ ★ ★ 5/5Chow RingAlgebraic GeometryIntersection Theory
Formal & Physical Sciences MathematicsENComplex surfaces 6: Kodaira dimensions 1 and 2Richard E BorcherdsNovember 24, 2020 22 min★ ★ ★ ★ ☆ 4/5Complex SurfacesKodaira DimensionElliptic Surfaces
Formal & Physical Sciences MathematicsENSporadic groupsRichard E BorcherdsNovember 22, 2020 60 min★ ★ ★ ★ ★ 5/5Finite Simple GroupsSporadic GroupsMonster Group
Formal & Physical Sciences MathematicsENComplex surfaces 5: Kodaira dimension 0Richard E BorcherdsNovember 19, 2020 24 min★ ★ ★ ★ ☆ 4/5Kodaira DimensionComplex SurfacesAlgebraic Geometry
Formal & Physical Sciences MathematicsENComplex surfaces 4: Ruled surfacesRichard E BorcherdsNovember 17, 2020 24 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryRuled SurfacesEnriques Classification
Formal & Physical Sciences MathematicsENCommutative algebra 49: CompletionsRichard E BorcherdsNovember 12, 2020 30 min★ ★ ★ ★ ★ 5/5Commutative AlgebraCompletionsP-Adic Numbers
Formal & Physical Sciences MathematicsENComplex surfaces 3: Rational surfacesRichard E BorcherdsNovember 10, 2020 32 min★ ★ ★ ★ ☆ 4/5Rational SurfacesAlgebraic GeometryBlow-Up
Formal & Physical Sciences MathematicsENCommutative algebra 48: Limits and exactnessRichard E BorcherdsNovember 8, 2020 25 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraLimitsExact Sequences
Formal & Physical Sciences MathematicsENCommutative algebra 47: Colimits and exactnessRichard E BorcherdsNovember 7, 2020 23 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraColimitsExact Sequences
Formal & Physical Sciences MathematicsENGenesis of vertex algebrasRichard E BorcherdsNovember 6, 2020 34 min★ ★ ★ ★ ★ 5/5Vertex AlgebrasMathematics HistoryRichard Borcherds
Formal & Physical Sciences MathematicsENComplex surfaces 2: Minimal surfacesRichard E BorcherdsNovember 5, 2020 36 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryMinimal SurfacesBlow-Up
Formal & Physical Sciences MathematicsENCommutative algebra 46: Limits and colimits of modulesRichard E BorcherdsNovember 4, 2020 31 min★ ★ ★ ★ ★ 5/5Commutative AlgebraLimitsColimits
Formal & Physical Sciences MathematicsENComplex surfaces 1: IntroductionRichard E BorcherdsNovember 3, 2020 26 min★ ★ ★ ★ ☆ 4/5Complex SurfacesAlgebraic GeometryEnriques-Kodaira Classification