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Office Camera

There is a webcam in my office that I use to take photos of the whiteboard. This setup was inspired by Dror Bar Natan’s Blackboard Shots. You can read more about the setup here. If you know of anyone else with a similar setup, please let me know.

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Sabbatical

A photo of a whiteboard titled: Sabbatical

Loop Manipulation Generators

A photo of a whiteboard titled: Loop Manipulation Generators

It shows the three generators $T_i, C_i, P_i$. This is a photo to accompany: The Loop Manipulation Group.

The Braid Group

A photo of a whiteboard titled: The Braid Group

Loop Manipulation Nomenclature

A photo of a whiteboard titled: Loop Manipulation Nomenclature

I’m working on a project which involves a finitely generated subgroup of the braid group which consists of “loop manipulations”. Three examples of the generators are shown. The question is: What should we call these generators?

We want some nomenclature which produces good notation for the group.

The Calculus of Heart Sequences: Passing a Loop Through and Returning It

A photo of a whiteboard titled: The Calculus of Heart Sequences: Passing a Loop Through and Returning It

The Calculus of Heart Sequences

A photo of a whiteboard titled: The Calculus of Heart Sequences

Bessel's Inequality

We check a simple lemma leading up to Bessel’s Inequality.

A photo of a whiteboard titled: 2024-01-31 @ 15:53:37

Suppose that ${e_n}$ is an orthonormal system of vectors, with a Hermititan inner product $\left\langle x,y \right\rangle$ inner product.

The Heart Group as A Subgroup of B_{2n}

This photo has a sketch of an embedding $\heartsuit_n \leq B_{2n}$. A photo of a whiteboard titled: 2024-01-22 @ 11:24:11

Mira Doodles: Part II

A photo of a whiteboard titled: Mira Doodles: Part II

Mira Doodles: vvbnm,,.//

A photo of a whiteboard titled: Mira Doodles: vvbnm,,.//


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