Formal & Physical Sciences MathematicsENGroup theory 2: Cayley's theoremRichard E BorcherdsJune 23, 2020 27 min★ ★ ★ ★ ★ 5/5Cayley's TheoremGroup TheoryCayley Graph
Formal & Physical Sciences MathematicsENGroup theory 1: IntroductionRichard E BorcherdsJune 23, 2020 20 min★ ★ ★ ★ ★ 5/5Group TheoryMathematicsSymmetry
Formal & Physical Sciences MathematicsENAlgebraic geometry 51: Bezout's theoremRichard E BorcherdsJune 22, 2020 34 min★ ★ ★ ★ ★ 5/5Bezout's TheoremAlgebraic GeometryProjective Space
Formal & Physical Sciences MathematicsENAlgebraic geometry 50: The degree of a projective varietyRichard E BorcherdsJune 21, 2020 19 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryProjective VarietyDegree
Formal & Physical Sciences MathematicsENAlgebraic geometry 49: Hilbert polynomialsRichard E BorcherdsJune 21, 2020 15 min★ ★ ★ ★ ★ 5/5Hilbert PolynomialGraded ModulesAlgebraic Geometry
Formal & Physical Sciences MathematicsENAlgebraic geometry 48: Newton's rotating rulerRichard E BorcherdsJune 20, 2020 23 min★ ★ ★ ★ ★ 5/5Newton PolygonPuiseux SeriesAlgebraic Geometry
Formal & Physical Sciences MathematicsENCalculus: What is zero to the power of zero?Richard E BorcherdsJune 19, 2020 16 min★ ★ ★ ★ ☆ 4/50^0ExponentiationCalculus
Formal & Physical Sciences MathematicsENAlgebraic geometry 47: Resolution of curve singularitiesRichard E BorcherdsJune 19, 2020 21 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySingularitiesBlowup
Formal & Physical Sciences MathematicsENHistory of science 7: Did Witt discover the Leech lattice?Richard E BorcherdsJune 18, 2020 17 min★ ★ ★ ★ ☆ 4/5Leech LatticeErnst WittSphere Packing
Formal & Physical Sciences MathematicsENHistory of science 6: The Monty Hall problemRichard E BorcherdsJune 18, 2020 13 min★ ★ ★ ★ ☆ 4/5Monty HallProbabilityHistory of Science
Formal & Physical Sciences MathematicsENAlgebraic geometry 46: Examples of Hurwitz curvesRichard E BorcherdsJune 18, 2020 13 min★ ★ ★ ★ ★ 5/5Algebraic GeometryHurwitz CurvesAutomorphism Groups
Formal & Physical Sciences MathematicsENAlgebraic geometry 45: Hurwitz curvesRichard E BorcherdsJune 18, 2020 17 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryHurwitz CurvesGroup Actions
Formal & Physical Sciences MathematicsENAlgebraic geometry 44: Survey of curvesRichard E BorcherdsJune 17, 2020 25 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryCurvesGenus
Humanities, Social Sciences & Thought Science — General & HistoryENHistory of science 3: Myths about the Copernican revolutionRichard E BorcherdsJune 16, 2020 16 min★ ★ ★ ★ ☆ 4/5CopernicusHistory of AstronomyScientific Revolution
Formal & Physical Sciences MathematicsENAlgebraic geometry 43: Proper mapsRichard E BorcherdsJune 16, 2020 25 min★ ★ ★ ★ ★ 5/5Algebraic GeometryProper MapsProjective Varieties
Formal & Physical Sciences MathematicsENAlgebraic geometry 42: ResultantsRichard E BorcherdsJune 15, 2020 14 min★ ★ ★ ★ ★ 5/5ResultantElimination TheoryAlgebraic Geometry
Formal & Physical Sciences MathematicsENAlgebraic geometry 41: CompletionsRichard E BorcherdsJune 15, 2020 19 min★ ★ ★ ★ ★ 5/5Algebraic GeometryCompletionsHensel's Lemma
Formal & Physical Sciences MathematicsENalgebraic geometry 40 Examples of resolutionsRichard E BorcherdsJune 14, 2020 22 min★ ★ ★ ★ ★ 5/5Algebraic GeometryResolution of SingularitiesBlow-Up
Formal & Physical Sciences MathematicsENalgebraic geometry 39 Du Val singularitiesRichard E BorcherdsJune 14, 2020 19 min★ ★ ★ ★ ★ 5/5Algebraic GeometryDu Val SingularitiesBlow-Up
Formal & Physical Sciences MathematicsENalgebraic geometry 36 The Atiyah flopRichard E BorcherdsJune 13, 2020 12 min★ ★ ★ ★ ★ 5/5Algebraic GeometryBirational GeometryAtiyah Flop
Formal & Physical Sciences MathematicsENalgebraic geometry 35 More on blow upsRichard E BorcherdsJune 12, 2020 22 min★ ★ ★ ★ ★ 5/5Algebraic GeometryBlow-UpBirational Geometry
Formal & Physical Sciences MathematicsENalgebraic geometry 34 Blowing up a pointRichard E BorcherdsJune 12, 2020 23 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryBlow-UpSingularities
Formal & Physical Sciences MathematicsENalgebraic geometry 33 Rationality of cubic surfacesRichard E BorcherdsJune 9, 2020 23 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryCubic SurfacesRationality
Formal & Physical Sciences MathematicsENalgebraic geometry 32 Elliptic functions and cubic curvesRichard E BorcherdsJune 9, 2020 19 min★ ★ ★ ★ ★ 5/5Elliptic FunctionsCubic CurvesAlgebraic Geometry
Formal & Physical Sciences MathematicsENalgebraic geometry 31 Rational mapsRichard E BorcherdsJune 8, 2020 21 min★ ★ ★ ★ ★ 5/5Algebraic GeometryRational MapsRational Functions
Formal & Physical Sciences MathematicsENMonstrous moonshineRichard E BorcherdsJune 7, 2020 51 min★ ★ ★ ★ ★ 5/5Monstrous MoonshineMonster GroupModular Functions
Formal & Physical Sciences MathematicsENalgebraic geometry 30 The Ax Grothendieck theoremRichard E BorcherdsJune 6, 2020 20 min★ ★ ★ ★ ★ 5/5Ax-Grothendieck TheoremAlgebraic GeometryModel Theory
Formal & Physical Sciences MathematicsENalgebraic geometry 29 Automorphisms of spaceRichard E BorcherdsJune 6, 2020 17 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryAutomorphismsAffine Space
Formal & Physical Sciences MathematicsENalgebraic geometry 28 Products of projective varietiesRichard E BorcherdsJune 6, 2020 11 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryProjective VarietiesSegre Embedding
Formal & Physical Sciences MathematicsENalgebraic geometry 27 The twisted cubicRichard E BorcherdsJune 6, 2020 15 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryTwisted CubicProjective Variety
Formal & Physical Sciences MathematicsENalgebraic geometry 26 Affine algebraic sets and commutative ringsRichard E BorcherdsJune 5, 2020 24 min★ ★ ★ ★ ★ 5/5Algebraic GeometryCommutative AlgebraAffine Varieties
Humanities, Social Sciences & Thought Science — General & HistoryENhistory of science 1 Aristotle and falling bodiesRichard E BorcherdsJune 4, 2020 13 min★ ★ ★ ★ ☆ 4/5AristotleGalileoHistory of Science
Formal & Physical Sciences MathematicsENalgebraic geometry 25 Morphisms of varietiesRichard E BorcherdsJune 4, 2020 18 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryMorphismsVarieties
Formal & Physical Sciences MathematicsENalgebraic geometry 24 Regular functionsRichard E BorcherdsJune 4, 2020 24 min★ ★ ★ ★ ★ 5/5Algebraic GeometryRegular FunctionsVarieties
Formal & Physical Sciences MathematicsENalgebraic geometry 23 CategoriesRichard E BorcherdsJune 3, 2020 15 min★ ★ ★ ★ ☆ 4/5Category TheoryAlgebraic GeometryMorphisms
Formal & Physical Sciences MathematicsENalgebraic geometry 22 Toric varietiesRichard E BorcherdsJune 3, 2020 24 min★ ★ ★ ★ ★ 5/5Toric VarietiesAlgebraic GeometryCones
Formal & Physical Sciences MathematicsENalgebraic geometry 21 Projective space bundlesRichard E BorcherdsJune 2, 2020 21 min★ ★ ★ ★ ★ 5/5Algebraic GeometryProjective BundlesHirzebruch Surfaces
Formal & Physical Sciences MathematicsENalgebraic geometry 20 GrassmanniansRichard E BorcherdsJune 2, 2020 23 min★ ★ ★ ★ ☆ 4/5GrassmannianAlgebraic GeometryPlücker Relations
Formal & Physical Sciences MathematicsENalgebraic geometry 19 The Veronese surface and the variety of lines in spaceRichard E BorcherdsJune 2, 2020 24 min★ ★ ★ ★ ★ 5/5Algebraic GeometryVeronese SurfaceGrassmannian
Formal & Physical Sciences MathematicsENalgebraic geometry 18 Products of varietiesRichard E BorcherdsMay 31, 2020 18 min★ ★ ★ ★ ★ 5/5Algebraic GeometryProducts of VarietiesSegre Embedding