Calendar
Week 1 • 02/02 - 02/06 Current
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Important: Welcome to the Spring 2026 edition of Symm4ML! Office hours start Wednesday.
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Lecture 1
Mon, 02/02
Course Overview and Intro to Finite Group Theory I
Readings: ☰☰☰◉
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Lecture 2
Wed, 02/04
Intro to Finite Group Theory II
Readings: ☰☰☰◉
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Week 2 • 02/09 - 02/13
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Lecture 3
Mon, 02/09
Linear Algebra: Vector spaces, nullspaces, orthogonality, Kronecker product and change of basis
Readings: ☰☰
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Lecture 4
Wed, 02/11
Representations of Finite Groups I: Reps, Irreps, Schur's Lemma, Wonderful Orthogonality Theorem
Readings: ☰
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Week 3 • 02/16 - 02/20
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Important: Monday, Feb. 16 is Presidents' Day Holiday. Tuesday, Feb. 17 -- Monday schedule held
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Lecture 5
Tue, 02/17
Representations of Finite Groups II: Character of Representations
Readings: ☰
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Lecture 6
Wed, 02/18
Representations of Finite Groups III: Tensor Products and Decompose to Irreps
Readings: ☰☰☰☰☰
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Week 4 • 02/23 - 02/27
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Lecture 7
Mon, 02/23
Vibrational Modes I
Readings: ☰☰☰
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Lecture 8
Wed, 02/25
Vibrational Modes II
Readings: ☰☰☰
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Week 5 • 03/02 - 03/06
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Lecture 9
Mon, 03/02
Intro to Lie Algebra
Readings: ☰☰
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Lecture 10
Wed, 03/04
SO(2) and SO(3) and their Representations
Readings: ☰☰
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Week 6 • 03/09 - 03/13
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Important: Exam Practice Problems:
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Lecture 11
Mon, 03/09
O(3), Cartesian Tensors, and Spherical Harmonics I
Readings: ☰☰
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Lecture 12
Wed, 03/11
O(3), Cartesian Tensors, and Spherical Harmonics II
Readings: ☰☰
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Week 7 • 03/16 - 03/20
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Lecture 13
Mon, 03/16
Exam Logistics and Review of Lec. 1-8
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Lecture 14
Wed, 03/18
Exam 1 (Lectures 1-8)
Readings: ☰
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MIT Spring Break 3/23 - 3/27
Week 8 • 03/30 - 04/03
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Lecture 15
Mon, 03/30
Signals on Spheres and Fourier Transforms on Groups I
Readings: ☰☰▶▶▶
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Lecture 16
Wed, 04/01
Signals on Spheres and Fourier Transforms on Groups II
Readings: ▶☰
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Week 9 • 04/06 - 04/10
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Lecture 17
Mon, 04/06
Group and Steerable Convolution I
Readings: ☰▶
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Lecture 18
Wed, 04/08
Group and Steerable Convolution II
Readings: ☰☰☰☰
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Week 10 • 04/13 - 04/17
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Important: Exam Practice Problems:
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Lecture 19
Mon, 04/13
Group and Steerable Convolution III
Readings: ☰◉☰◉☰☰◉☰☰
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Lecture 20
Wed, 04/15
Equivariant Activations and Attention
Readings: ☰☰☰☰☰
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Week 11 • 04/20 - 04/24
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Lecture 21
Mon, 04/20
Exam 2 (Lectures 9-20)
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Lecture 22
Wed, 04/22
How to product your tensors for great good.
Readings: ☰
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Week 12 • 04/27 - 05/01
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Important: April 20 is Patriots' Day! No class Monday!
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| No lecture this day |
Lecture 23
Wed, 04/29
Symmetries were made to be broken.
Readings: ☰◉◉◉
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Week 13 • 05/04 - 05/08
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Lecture 24
Mon, 05/04
Symmetry and Physics I: Why condensed matter physicists and friends are obsessed.
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Lecture 25
Wed, 05/06
Symmetry and Physics II: The Lorentz Group and the Standard Model, i.e. Tess rants about spin 1/2.
Readings: ☰
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Week 14 • 05/11 - 05/15
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Important: Exam Practice Problems:
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Lecture 26
Mon, 05/11
Final Exam
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