Formal & Physical Sciences MathematicsENQuestions and Answers 1Richard E BorcherdsMarch 5, 2021 35 min★ ★ ★ ★ ★ 5/5MathematicsQ&AResearch Advice
Formal & Physical Sciences MathematicsENComplex analysis: Harmonic functionsRichard E BorcherdsMarch 4, 2021 30 min★ ★ ★ ★ ★ 5/5Complex AnalysisHarmonic FunctionsLaplace Equation
Formal & Physical Sciences MathematicsENComplex analysis: Holomorphic functionsRichard E BorcherdsMarch 3, 2021 26 min★ ★ ★ ★ ★ 5/5Complex AnalysisHolomorphic FunctionsCauchy-Riemann Equations
Formal & Physical Sciences MathematicsENComplex analysis: Exp, log, sin, cosRichard E BorcherdsMarch 2, 2021 32 min★ ★ ★ ★ ★ 5/5Complex AnalysisExponential FunctionLogarithm
Formal & Physical Sciences MathematicsENComplex analysis: RootsRichard E BorcherdsMarch 1, 2021 31 min★ ★ ★ ★ ★ 5/5Complex AnalysisRootsPolar Coordinates
Formal & Physical Sciences MathematicsENComplex analysis: ArithmeticRichard E BorcherdsFebruary 28, 2021 25 min★ ★ ★ ★ ★ 5/5Complex NumbersArithmeticQuaternions
Formal & Physical Sciences MathematicsENComplex analysis: IntroductionRichard E BorcherdsFebruary 27, 2021 18 min★ ★ ★ ★ ☆ 4/5Complex AnalysisCauchy's TheoremAnalytic Continuation
Formal & Physical Sciences MathematicsENSphere packings in 8 dimensions (after Maryna Viazovska)Richard E BorcherdsFebruary 26, 2021 31 min★ ★ ★ ★ ★ 5/5Sphere PackingE8 LatticeModular Forms
Formal & Physical Sciences MathematicsENLie groups: Modular functionRichard E BorcherdsFebruary 25, 2021 28 min★ ★ ★ ★ ★ 5/5Lie GroupsModular FunctionInvariant Measure
Formal & Physical Sciences MathematicsENLie groups: Haar measureRichard E BorcherdsFebruary 24, 2021 24 min★ ★ ★ ★ ★ 5/5Haar MeasureLie GroupsIntegration
Formal & Physical Sciences MathematicsENLie groups: Lie's theoremRichard E BorcherdsFebruary 23, 2021 23 min★ ★ ★ ★ ★ 5/5Lie AlgebrasSolvable Lie AlgebrasLie's Theorem
Formal & Physical Sciences MathematicsENLie groups: Engel's theoremRichard E BorcherdsFebruary 22, 2021 24 min★ ★ ★ ★ ☆ 4/5Lie AlgebrasEngel's TheoremNilpotent
Formal & Physical Sciences MathematicsENLie groups: Bianchi classificationRichard E BorcherdsFebruary 21, 2021 24 min★ ★ ★ ★ ★ 5/5Lie GroupsBianchi ClassificationThurston Geometries
Formal & Physical Sciences MathematicsENLie groups: Positive characteristic is weirdRichard E BorcherdsFebruary 20, 2021 21 min★ ★ ★ ★ ★ 5/5Lie GroupsLie AlgebrasPositive Characteristic
Formal & Physical Sciences MathematicsENLie groups: Poincare-Birkhoff-Witt theoremRichard E BorcherdsFebruary 19, 2021 30 min★ ★ ★ ★ ★ 5/5Lie GroupsPoincaré-Birkhoff-Witt TheoremUniversal Enveloping Algebra
Formal & Physical Sciences MathematicsENLie groups: Baker Campbell Hausdorff formulaRichard E BorcherdsFebruary 18, 2021 25 min★ ★ ★ ★ ★ 5/5Lie GroupsLie AlgebrasBaker-Campbell-Hausdorff
Formal & Physical Sciences MathematicsENLie groups: Exponential mapRichard E BorcherdsFebruary 17, 2021 25 min★ ★ ★ ★ ★ 5/5Lie GroupsExponential MapMatrix Groups
Formal & Physical Sciences MathematicsENLie groups: Lie groups and Lie algebrasRichard E BorcherdsFebruary 16, 2021 36 min★ ★ ★ ★ ★ 5/5Lie GroupsLie AlgebrasSimply Connected
Formal & Physical Sciences MathematicsENLie groups: Lie algebrasRichard E BorcherdsFebruary 15, 2021 30 min★ ★ ★ ★ ★ 5/5Lie GroupsLie AlgebrasJacobi Identity
Formal & Physical Sciences MathematicsENLie groups: IntroductionRichard E BorcherdsFebruary 14, 2021 36 min★ ★ ★ ★ ☆ 4/5Lie GroupsMathematicsGroup Theory
Formal & Physical Sciences MathematicsENLec 19 Eigen values and Eigen functionPhysics LecturesFebruary 14, 2021 30 min★ ★ ★ ★ ☆ 4/5Quantum MechanicsEigenvaluesEigenfunctions
Formal & Physical Sciences MathematicsENTheory of numbers: Quadratic reciprocityRichard E BorcherdsFebruary 12, 2021 28 min★ ★ ★ ★ ★ 5/5Quadratic ReciprocityNumber TheoryGauss Sums
Formal & Physical Sciences MathematicsENTheory of numbers: Gauss's lemmaRichard E BorcherdsFebruary 11, 2021 28 min★ ★ ★ ★ ★ 5/5Number TheoryGauss's LemmaQuadratic Residues
Formal & Physical Sciences MathematicsENTheory of numbers: Quadratic residuesRichard E BorcherdsFebruary 10, 2021 29 min★ ★ ★ ★ ★ 5/5Quadratic ResiduesNumber TheoryLegendre Symbol
Formal & Physical Sciences MathematicsENTheory of numbers: Jacobi symbolRichard E BorcherdsFebruary 10, 2021 25 min★ ★ ★ ★ ★ 5/5Jacobi SymbolLegendre SymbolQuadratic Reciprocity
Formal & Physical Sciences MathematicsENTheory of numbers: Chevalley-Warning theoremRichard E BorcherdsFebruary 9, 2021 19 min★ ★ ★ ★ ★ 5/5Number TheoryChevalley-WarningFinite Fields
Formal & Physical Sciences MathematicsENBirch Swinnerton-Dyer conjecture: IntroductionRichard E BorcherdsFebruary 8, 2021 37 min★ ★ ★ ★ ★ 5/5Birch Swinnerton-Dyer ConjectureElliptic CurvesL-Functions
Formal & Physical Sciences MathematicsENTheory of numbers: RSA cryptographyRichard E BorcherdsFebruary 6, 2021 24 min★ ★ ★ ★ ★ 5/5RSACryptographyNumber Theory
Formal & Physical Sciences MathematicsENDedekind domains: IntroductionRichard E BorcherdsFebruary 5, 2021 24 min★ ★ ★ ★ ★ 5/5Dedekind DomainsCommutative AlgebraAlgebraic Number Theory
Formal & Physical Sciences MathematicsENIs the Conway knot slice? (After Lisa Piccirillo)Richard E BorcherdsFebruary 4, 2021 24 min★ ★ ★ ★ ☆ 4/5Knot TheorySlice KnotsConway Knot
Formal & Physical Sciences MathematicsENWilson's theoremRichard E BorcherdsFebruary 3, 2021 28 min★ ★ ★ ★ ★ 5/5Number TheoryWilson's TheoremPrimitive Roots
Formal & Physical Sciences MathematicsENTheory of numbers: Congruences: Primitive rootsRichard E BorcherdsFebruary 2, 2021 31 min★ ★ ★ ★ ★ 5/5Number TheoryPrimitive RootsCongruences
Formal & Physical Sciences MathematicsENTheory of numbers: Congruences: Chinese remainder theoremRichard E BorcherdsFebruary 1, 2021 29 min★ ★ ★ ★ ★ 5/5Chinese Remainder TheoremNumber TheoryCongruences
Formal & Physical Sciences MathematicsENTheory of numbers: Congruences: Euler's theoremRichard E BorcherdsJanuary 31, 2021 26 min★ ★ ★ ★ ★ 5/5Euler's TheoremNumber TheoryGroup Theory
Formal & Physical Sciences MathematicsENTheory of numbers: Prime testsRichard E BorcherdsJanuary 30, 2021 19 min★ ★ ★ ★ ★ 5/5Number TheoryPrimality TestFermat's Little Theorem
Formal & Physical Sciences MathematicsENTheory of numbers: Fermat's theoremRichard E BorcherdsJanuary 29, 2021 27 min★ ★ ★ ★ ★ 5/5Fermat's TheoremNumber TheoryModular Arithmetic
Formal & Physical Sciences MathematicsENTheory of numbers: Congruences: IntroductionRichard E BorcherdsJanuary 28, 2021 25 min★ ★ ★ ★ ☆ 4/5CongruencesNumber TheoryModular Arithmetic
Formal & Physical Sciences MathematicsENTheory of numbers: Dirichlet seriesRichard E BorcherdsJanuary 27, 2021 38 min★ ★ ★ ★ ★ 5/5Dirichlet SeriesArithmetic FunctionsEuler Product
Formal & Physical Sciences MathematicsENTheory of numbers: Multiplicative functionsRichard E BorcherdsJanuary 26, 2021 30 min★ ★ ★ ★ ★ 5/5Number TheoryMultiplicative FunctionsDivisor Function
Formal & Physical Sciences MathematicsENTheory of numbers: Fundamental theorem of arithmeticRichard E BorcherdsJanuary 25, 2021 24 min★ ★ ★ ★ ★ 5/5Number TheoryFundamental Theorem of ArithmeticEuclid's Algorithm