| 1. | Spinors for Beginners 22: Dirac Equation and Gamma Matrices Deep Dive (+ chirality) | 53:58 | |
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| 2. | Spinors for Beginners 20: Lorentz Group / Algebra Representation Theory | 53:39 | |
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| 3. | Why Sabine Hossenfelder's video on transgender teens is misleading | 53:26 | |
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| 4. | Spinors for Beginners 12: How the Spin Group Generalizes Quaternions to any Dimension | 47:15 | |
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| 5. | Spinors for Beginners 9: Pauli Spinors vs Weyl Spinors vs Dirac Spinors | 46:07 | |
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| 6. | Spinors for Beginners 18: Irreducible Representations of SU(2) (Ladder Operators) | 45:29 | |
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| 7. | Spinors for Beginners 14: Minimal Left Ideals (and Pacwoman Property) | 42:06 | |
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| 8. | Relativity 110f: Cosmology - Friedmann Equations Derivation + Universe Evolution Models (FINALE) | 40:09 | Vlog |
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| 9. | Spinors for Beginners 19: Tensor Product Representations of su(2) [Clebsch-Gordan coefficients] | 40:00 | |
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| 10. | Spinors for Beginners 17: The spin 1/2 representations of SU(2) and SL(2,C) | 38:19 | |
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| 11. | Relativity 108d: Schwazrschild Metric - Eddington-Finkelstein, Kruskal-Szekeres, White/Wormholes | 37:10 | |
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| 12. | Relativity 107f: General Relativity Basics - Einstein Field Equation Derivation (w/ sign convention) | 36:51 | |
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| 13. | Spinors for Beginners 16: Lie Groups and Lie Algebras | 36:22 | |
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| 14. | Relativity 107b: General Relativity Basics - Manifolds, Covariant Derivative, Geodesics | 36:21 | |
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| 15. | Relativity 108c: Schwarzschild Metric - Geodesics (Mercury perihelion advance, photon sphere) | 36:06 | |
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| 16. | Relativity 104f: Special Relativity - Relativistic Dynamics and 4-Vectors (E=mc^2) | 35:10 | |
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| 17. | Relativity 105c: Acceleration - The Jacobian (changing basis in curvilinear Rindler coordinates) | 34:45 | |
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| 18. | Relativity 107c: General Relativity Basics - Curvature, Riemann Tensor, Ricci Tensor, Ricci Scalar | 34:31 | |
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| 19. | Relativity 105b: Acceleration - Bell's Spaceship Paradox and Rindler Coordinates | 34:22 | |
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| 20. | Relativity 104e: Special Relativity - Spacetime Interval and Minkowski Metric | 34:19 | |
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| 21. | Relativity 107e: General Relativity Basics - Stress-Energy-Momentum Tensor | 34:07 | |
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| 22. | Relativity 108b: Schwarzschild Metric - Interpretation (Gravitational Time Dilation, Event Horizon) | 33:52 | |
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| 23. | Tensor Calculus 18: Covariant Derivative (extrinsic) and Parallel Transport | 33:51 | |
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| 24. | Relativity 110d: Cosmology - FLRW Geodesics, Cosmological Redshift, Horizons, Comoving Coordinates | 33:50 | Vlog |
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| 25. | Spinors for Beginners 11: What is a Clifford Algebra? (and Geometric, Grassmann, Exterior Algebras) | 33:23 | |
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| 26. | Relativity 106a: Tensors - Frequency Wave Covectors and Doppler Shift (with accelerating frames) | 33:07 | |
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| 27. | Relativity 110a: Cosmology - Introduction to Modern Cosmology | 32:57 | Vlog |
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| 28. | Relativity 105d: Acceleration - Twin Paradox and Proper Time Along Curves (Rindler Metric) | 32:27 | |
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| 29. | Tensor Calculus 25 - Geometric Meaning Ricci Tensor/Scalar (Volume Form) | 32:12 | |
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| 30. | Relativity 105a: Acceleration - Hyperbolic Motion and Rindler Horizon | 31:37 | |
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| 31. | Relativity 104c: Special Relativity - Time Dilation and Length Contraction Geometry | 31:36 | | Relativity
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| 32. | Relativity 108a: Schwarzschild Metric - Derivation | 30:48 | |
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| 33. | Relativity 105f: Acceleration - Geodesics, Curved Light Beams (Rindler Coordinates) | 30:17 | |
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| 34. | Tensor Calculus 22: Riemann Curvature Tensor Geometric Meaning (Holonomy + Geodesic Deviation) | 29:13 | |
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| 35. | Tensor Calculus 26 - Ricci Tensor/Scalar Properties | 28:59 | |
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| 36. | Tensor Calculus 24: Ricci Tensor Geometric Meaning (Sectional Curvature) | 28:54 | |
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| 37. | Tensor Calculus 20: The Abstract Covariant Derivative (Levi-Civita Connection) | 28:52 | |
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| 38. | Relativity 108e: Schwarzschild Metric - Gravitational Redshift / Blueshift (via covector fields) | 28:15 | |
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| 39. | Relativity 105e: Acceleration - Covariant Derivative in Flat Spacetime (Rindler Coordinates) | 27:17 | |
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| 40. | Spinors for Beginners 15: Nilpotents, Fermions, and Maximally Isotropic Subspaces | 27:06 | Let's Play |
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| 41. | Spinors for Beginners 6: Pauli Vectors and Pauli Matrices | 26:35 | |
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| 42. | Spinors for Beginners 10: SU(2) double covers SO(3) [ SL(2,C) double covers SO+(1,3) ] | 26:32 | |
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| 43. | Spinors for Beginners 4: Quantum Spin States (Stern-Gerlach Experiment) | 26:14 | |
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| 44. | Spinors for Beginners 13: Ideals and Projectors (Idempotents) | 26:11 | |
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| 45. | Relativity 110b: Cosmology - FLRW Metric Derivation (3 possible geometries) | 25:57 | Vlog |
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| 46. | Tensor Calculus 23: Riemann Curvature Tensor Components and Symmetries | 25:31 | |
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| 47. | Relativity 107d: General Relativity Basics - Curved Spacetime for Newtonian Gravity (Newton Cartan) | 25:13 | |
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| 48. | Relativity 107a: General Relativity Basics - Equivalence Principle and Proper Acceleration | 25:03 | |
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| 49. | Spinors for Beginners 5: The Flagpole and Complex Projective Line (CP1) | 24:24 | |
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| 50. | Spinors for Beginners 3: Polarizations and SU(2) Matrices [and O(3), SO(3), U(2)] | 24:16 | |
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| 51. | Tensor Calculus 21: Lie Bracket, Flow, Torsion Tensor (contains error; see pinned comment) | 24:10 | |
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| 52. | Spinors for Beginners 8: Are the Pauli Matrices also Vectors? (Intro to Spinor Spaces) | 24:08 | |
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| 53. | Relativity 110e: Cosmology - Perfect Fluids, Cosmic Rest Frame, Equation of State | 24:02 | Vlog |
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| 54. | Relativity 109c: Gravitational Waves - Wave Derivation (The Lorenz Gauge) | 23:55 | |
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| 55. | Relativity 104d: Special Relativity - Velocity Addition and Relativity of Simultaneity | 23:10 | | Relativity
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| 56. | Tensor Calculus 12: The Metric Tensor in Curved Spaces for Measuring Arc Length | 23:09 | |
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| 57. | Tensor Calculus 19: Covariant Derivative (Intrinsic) and Geodesics | 22:50 | |
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| 58. | Error Correcting Codes 1: Introduction + Hamming (7,4) Code | 22:31 | |
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| 59. | Tensor Calculus 15: Geodesics and Christoffel Symbols (extrinsic geometry) | 21:40 | |
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| 60. | Relativity 110c: Cosmology - FLRW Tensor/Coefficient Derivations | 21:25 | Vlog |
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| 61. | Relativity 109d: Gravitational Waves - Transverse-Traceless Gauge (Plus and Cross Polarizations) | 21:05 | |
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| 62. | Tensor Calculus 16: Geodesic Examples on Plane and Sphere | 20:55 | |
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| 63. | Relativity 103e: Galilean Relativity - The problems with Galilean Relativity | 20:37 | | Relativity
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| 64. | Relativity 103d: Galilean Relativity - Euclidean Metric Tensor | 20:37 | |
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| 65. | Relativity 103c: Galilean Relativity - Galilean Transform and Covariance/Contravariance | 20:09 | | Relativity
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| 66. | Error Correcting Codes 3a: Cyclic Codes - Polynomial Properties | 19:21 | |
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| 67. | Tensor Calculus 13: Gradient vs "d" operator (exterior derivative/differential) | 19:07 | |
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| 68. | Spinors for Beginners 7: Square Root of a Vector (factoring vector into spinors) | 19:02 | |
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| 69. | Spinors for Beginners 1: Introduction (Overview +Table of Contents for video series) | 18:59 | |
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| 70. | Tensor Calculus 9: Integration with Differential Forms | 18:34 | |
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| 71. | Relativity 109e: Gravitational Waves - How Gravitational Wave Affect Free Particles | 18:30 | | Gravitational
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| 72. | Tensor Calculus 17: The Covariant Derivative (flat space) | 18:12 | |
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| 73. | Spinors for Beginners 2: Jones Vectors and Light Polarization | 17:52 | |
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| 74. | Relativity 104b: Special Relativity - Lorentz Transform Equations Derivation | 17:23 | | Relativity
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| 75. | Tensor Calculus 10: Integration with Differential Forms Examples | 17:20 | |
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| 76. | Tensor Calculus 1: Multi-variable Calculus Review (Updated with correction) | 17:09 | Review |
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| 77. | Tensor Calculus 17.5: Covariant Derivative (Component Definition) - Optional | 16:50 | |
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| 78. | Error Correcting Codes 4a: Finite Fields - Introduction to Non-Binary Codes | 16:41 | |
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| 79. | Tensors for Beginners 9: The Metric Tensor | 16:10 | |
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| 80. | Tensor Calculus 6: Differential Forms are Covectors | 15:49 | |
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| 81. | Relativity 109a - Gravitational Waves: Introduction (LIGO, Wave Equation) | 15:47 | |
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| 82. | Tensors for Beginners 16: Raising/Lowering Indexes (with motivation, sharp + flat operators) | 15:44 | |
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| 83. | Tensors for Beginners 15: Tensor Product Spaces | 15:22 | |
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| 84. | Relativity 101b: Introduction to Special Relativity | 15:20 | | Relativity
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| 85. | Relativity 104a: Special Relativity - Lorentz Transformation Geometry (no equations) | 15:19 | | Relativity
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| 86. | Error Correcting Codes 3b: Cyclic Codes - Generator Polynomial | 14:42 | |
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| 87. | Tensor Calculus 14: Gradient explanation + examples | 14:40 | |
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| 88. | Relativity 103b: Galilean Relativity - Spacetime Separation (Interval) Vector and Invariance | 14:34 | |
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| 89. | Tensor Calculus 11: The Metric Tensor and Arc Lengths (flat space) | 14:34 | |
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| 90. | Spinors for Beginners 6.1 - Equivalence of Quaternions, Sigma Matrices, and SU(2) | 14:20 | |
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| 91. | Tensor Calculus 7: Covector Field Components | 14:19 | |
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| 92. | Tensors for Beginners 4: What are Covectors? | 14:07 | |
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| 93. | Relativity 109b: Gravitational Waves - Linearized Gravity / Weak Gravity | 13:51 | | Gravity
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| 94. | Tensor Calculus 8: Covector Field Transformation Rules (Covariance) | 13:24 | |
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| 95. | Tensor Calculus 5: Derivative Transformation Rules (Contravariance) | 12:57 | |
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| 96. | Tensor Calculus 0: Introduction | 12:43 | |
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| 97. | Error Correcting Codes 2c: Linear Codes - Parity-Check Matrix | 12:32 | |
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| 98. | Super Paper Mario - Light Switch Puzzles and Row Echelon Form | 12:18 | |
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| 99. | Tensors for Beginners 11: Linear maps are Vector-Covector Pairs | 12:07 | |
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| 100. | eigenchris's Math/Physics YouTube Channel Recommendations | 12:05 | |
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