Formal & Physical Sciences MathematicsENGroup theory 27: The icosahedral groupRichard E BorcherdsJuly 2, 2020 26 min★ ★ ★ ★ ★ 5/5Group TheoryIcosahedral GroupSimple Groups
Formal & Physical Sciences MathematicsENGroup theory 26: Too many p groupsRichard E BorcherdsJuly 2, 2020 12 min★ ★ ★ ★ ☆ 4/5Group TheoryP-GroupsClassification
Formal & Physical Sciences MathematicsENUndergraduate math talk: The abc conjectureRichard E BorcherdsJuly 1, 2020 21 min★ ★ ★ ★ ★ 5/5Abc ConjectureNumber TheoryPolynomials
Formal & Physical Sciences MathematicsENGroup theory 25: The transfer homomorphismRichard E BorcherdsJuly 1, 2020 25 min★ ★ ★ ★ ★ 5/5Group TheoryTransfer HomomorphismAbelianization
Formal & Physical Sciences MathematicsENGroup theory 24: Extra special groupsRichard E BorcherdsJuly 1, 2020 31 min★ ★ ★ ★ ★ 5/5Group TheoryExtra Special GroupsHeisenberg Group
Formal & Physical Sciences MathematicsENGroup theory 23: Coxeter Todd algorithmRichard E BorcherdsJuly 1, 2020 25 min★ ★ ★ ★ ★ 5/5Group TheoryCoxeter-Todd AlgorithmCoset Enumeration
Formal & Physical Sciences MathematicsENGroup theory 22: Symmetric groupsRichard E BorcherdsJune 30, 2020 29 min★ ★ ★ ★ ☆ 4/5Group TheorySymmetric GroupAlternating Group
Formal & Physical Sciences MathematicsENGroup theory 21: Groups of order 24Richard E BorcherdsJune 30, 2020 20 min★ ★ ★ ★ ☆ 4/5Group TheoryClassificationBinary Tetrahedral Group
Formal & Physical Sciences MathematicsENGroup theory 20: Frobenius groupsRichard E BorcherdsJune 29, 2020 12 min★ ★ ★ ★ ★ 5/5Group TheoryFrobenius GroupsFinite Groups
Formal & Physical Sciences MathematicsENGroup theory 19: Wreath productsRichard E BorcherdsJune 29, 2020 20 min★ ★ ★ ★ ★ 5/5Group TheoryWreath ProductSylow Subgroups
Formal & Physical Sciences MathematicsENGroup theory 18: Nilpotent groupsRichard E BorcherdsJune 29, 2020 16 min★ ★ ★ ★ ★ 5/5Group TheoryNilpotent GroupsP-Groups
Formal & Physical Sciences MathematicsENGroup theory 17: Finite abelian groupsRichard E BorcherdsJune 29, 2020 25 min★ ★ ★ ★ ★ 5/5Group TheoryAbelian GroupsFinitely Generated
Formal & Physical Sciences MathematicsENGroup theory 16: Automorphisms of cyclic groupsRichard E BorcherdsJune 29, 2020 30 min★ ★ ★ ★ ★ 5/5Group TheoryAutomorphismsCyclic Groups
Formal & Physical Sciences MathematicsENGroup theory 15: Groups of order 12Richard E BorcherdsJune 27, 2020 19 min★ ★ ★ ★ ★ 5/5Group TheorySylow TheoremsClassification
Formal & Physical Sciences MathematicsENGroup theory 14: Sylow theoremsRichard E BorcherdsJune 27, 2020 19 min★ ★ ★ ★ ★ 5/5Sylow TheoremsGroup TheoryFinite Groups
Formal & Physical Sciences MathematicsENGroup theory 13: Dihedral groupsRichard E BorcherdsJune 27, 2020 21 min★ ★ ★ ★ ★ 5/5Group TheoryDihedral GroupsSymmetry
Formal & Physical Sciences MathematicsENGroup theory 12: Cauchy's theoremRichard E BorcherdsJune 27, 2020 22 min★ ★ ★ ★ ★ 5/5Group TheoryCauchy's TheoremFinite Groups
Formal & Physical Sciences MathematicsENGroup theory 11: Groups of prime power orderRichard E BorcherdsJune 27, 2020 15 min★ ★ ★ ★ ★ 5/5Group TheoryP-GroupsCenter
Formal & Physical Sciences MathematicsENGroup theory 9: QuaternionsRichard E BorcherdsJune 26, 2020 20 min★ ★ ★ ★ ★ 5/5QuaternionsGroup TheoryRotations
Formal & Physical Sciences MathematicsENGroup theory 10: Burnside's lemmaRichard E BorcherdsJune 26, 2020 19 min★ ★ ★ ★ ★ 5/5Burnside's LemmaGroup TheoryOrbits
Formal & Physical Sciences MathematicsENGroup theory 8: ExtensionsRichard E BorcherdsJune 25, 2020 14 min★ ★ ★ ★ ★ 5/5Group TheoryExtensionsClassification
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