Formal & Physical Sciences MathematicsENGroup theory 7: Semidirect productsRichard E BorcherdsJune 25, 2020 21 min★ ★ ★ ★ ★ 5/5Group TheorySemidirect ProductClassification
Formal & Physical Sciences MathematicsENGroup theory 6: normal subgroups and quotient groupsRichard E BorcherdsJune 25, 2020 24 min★ ★ ★ ★ ★ 5/5Group TheoryNormal SubgroupsQuotient Groups
Formal & Physical Sciences MathematicsENTrees and Series-Parallel Graphs || @ CMU || Lecture 22a of CS Theory ToolkitRyan O'DonnellJune 24, 2020 21 min★ ★ ★ ★ ★ 5/5TreewidthSeries-Parallel GraphsDynamic Programming
Formal & Physical Sciences MathematicsENGroup theory 5: productsRichard E BorcherdsJune 24, 2020 29 min★ ★ ★ ★ ★ 5/5Group TheoryProductsExact Sequences
Formal & Physical Sciences MathematicsENGroup theory 4: Lagrange's theoremRichard E BorcherdsJune 24, 2020 28 min★ ★ ★ ★ ★ 5/5Group TheoryLagrange's TheoremCosets
Formal & Physical Sciences MathematicsENGroup theory 3: HomomorphismsRichard E BorcherdsJune 23, 2020 18 min★ ★ ★ ★ ★ 5/5Group TheoryHomomorphismIsomorphism
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 MathematicsENSherali--Adams Proof System || @ CMU || Lecture 21b of CS Theory ToolkitRyan O'DonnellJune 19, 2020 36 min★ ★ ★ ★ ☆ 4/5Sherali-AdamsProof SystemsLP Relaxations
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
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 MathematicsENSolving the Max-Cut SDP || @ CMU || Lecture 19c of CS Theory ToolkitRyan O'DonnellJune 12, 2020 15 min★ ★ ★ ★ ☆ 4/5Max-CutSemidefinite ProgrammingEllipsoid Method
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 MathematicsENThe Ellipsoid Algorithm || @ CMU || Lecture 19a of CS Theory ToolkitRyan O'DonnellJune 10, 2020 30 min★ ★ ★ ★ ☆ 4/5Ellipsoid AlgorithmLinear ProgrammingConvex Optimization
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 MathematicsENPuissance d'un test statistique et taille d'échantillonThierry AncelleJune 7, 2020 11 min★ ★ ★ ★ ☆ 4/5Statistical PowerSample SizeHypothesis Testing
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