Mathematical Summer Conversations 3

4 June 2020

Hanna Makaruk
Uncertainty about Uncertainty
Hanna's talk  (pdf slides)

Hanna's email:  <hanna_m@lanl.gov>
She invites comments, questions, and suggestions.

Mathematical Summer Conversations 2

Click on the image to enlarge

28 May 2020
Borzu Toloui 
A short introduction to Constructor Theory: A new mode of explanation in physics and beyond

• Recording of the meeting 
• Constructor Theory Homepage

If you are interested, please send your questions to Borzu or me, or add them to the comments area.  We will ask Borzu for another Q&A session in the near future.

Mathematical Summer Conversations

21 May 2020
John McSorley
Combinatorial miscellanea and gossip

Here is the PDF of the talk.

Recording:  1. The first 2 min.  2. The main body, 50 min.

connections

14 May, 2020 

Philip Feinsilver

Secret passage through Lie algebras, recurrences, and polynomials

• Recording (about 1 hr)
• File from the talk (annotated, 5MB)
• The same file, clean  (69 KB)

Light

From https://meanjin.com.au/blog/the-slow-light-of-truth/

6 May 2020
(Note -- WEDNESDAY)

Mohammad Sayeh

Slow light  (photons calmed)


[recording]




Two papers (click): 

• Stopped light
• Slow light

And the book suggested by Mohammad:  "Fast Light, Slow Light and Left-Handed Light" by P W Milonni, 2005.  [Amazon,  PDF]

In comments use dollar signs and latex to get math formating.  For instance $\frac{7}{3}=\det\begin{bmatrix}a&b\\ c&d\end{bmatrix}$.

Interlude 2

On the brighter note, here are books that some of our participants might find interesting and that Springer kindly allows you to download as a part of covid-19 "relieve":

• Ramin Takloo-Bighash: A Pythagorean Introduction to Number Theory.  Right Triangles, Sums of Squares, and Arithmetic
• Gerard O'Regan: Guide to Discrete Mathematics.  An Accessible Introduction to the History, Theory, Logic and Applications
• M. de Berg (at al):  Computational Geometry. Algorithms and Applications
• Hans Peters:  Game Theory. A Multi-Leveled Approach
• M. Aigner, G. Ziegler: Proofs from THE BOOK

• Philipp O.J. Scherer:  Computational Physics. Simulation of Classical and Quantum Systems
• Benjamin Stickler, E.Schachinger: Basic Concepts in Computational Physics
• Hans Petter Langtangen: A Primer on Scientific Programming with Python
• John Hunt: A Beginners Guide to Python 3 Programming 
• Ben Stephenson: The Python Workbook. A Brief Introduction with Exercises and Solutions

• Jakob Schwichtenberg: Physics from Symmetry
• Dresselhaus, Jorio: Group Theory.  Application to the Physics of Condenced Matter
• W. Fulton, J. Harris: Representation Theory.A First Course
• Sadri Hassani: Mathematical Physics. A Modern Introduction to Its Foundations
• Travis Norsen: Foundations of Quantum Mechanics.  An Exploration of the Physical Meaning of Quantum Theory
• Paul R. Berman: Introductory Quantum Mechanics. A Traditional Approach Emphasizing Connections with Classical Physics
• Daniel Bes: Quantum Mechanics. A Modern and Concise Introductory Course
• Jochen Pade: Quantum Mechanics for Pedestrians 1,  Fundamentals
• Jochen Pade: Quantum Mechanics for Pedestrians 2, Applications and Extensions
• Cosimo Bambi: Introduction to General Relativity.  A Course for Undergraduate Students of Physics

• Sheldon Axler: Linear Algebra Done Right
• Giovanni Landi, A. Zampini: Linear Algebra and Analytic Geometry for Physical Sciences
• Peter J. Olver, Chehrzad Shakiban: Applied Linear Algebra
• Roman Kossak:  Mathematical Logic,  On Numbers, Sets, Structures, and Symmetry
• Stephen Abbott:  Understanding Analysis
• Kenneth Ross:  Elementary Analysis.  The Theory of Calculus

• Lars-Göran Johansson: Philosophy of Science for Scientists
• Kevin McCain: The Nature of Scientific Knowledge, An Explanatory Approach

• Karl F. Renk: Basics of Laser Physics.  

• Dilip Datta: LaTeX in 24 Hours. A Practical Guide for Scientific Writing
• M. Jalongo, O Saracho: Writing for Publication. Transitions and Tools that Support Scholars’ Success
• Michael Guest:  Conferencing and Presentation English for Young Academics. For Students of Science and Engineering  

For more, see here. 

Origami

30 April 2020

William Holt

Origami, math between the sheets (of paper)

Recording (59 min).

William goes over a number of things, which include his method of folding paper into n equal sections for arbitrary n.  

Interlude

Two items:

The text Christian Rose mentioned (and currently reads) can be downloaded here.   (It contains a nice chapter on math of lattices.)    See also the lectures recorded at Oxford.  Thanks, Christian.

The lectures on Knot Theory started.  Here are recordings of the first four:

Lecture 1 (Roger Fenn)

Lecture 2 (Louis Kauffman)

Lecture 3  (Roger Fenn)
Lecture 4  (Louis Kauffman)
Lecture 5  (Roger Fenn, 1 May)

Yous probably remember Louis from his visits at Carbondale.

negative mass

Click on the image to see details

23 April 2020

Moses Gaither-Ganim

Minus matter: the possibility of negative mass

[Recording] - the first few minutes are missing, but can easily be reconstructed from the whiteboard. 

Origami geometry

16 April 2020

William Holt

Pentagons from paper, development of division in ancient art

  <<< click on the image to enlarge



Please prepare at least 5 sheets of letter size paper for folding. 

Here is the recording of the meeting.

Fibonacci numbers

9 Apr 2020

Jerzy (Jurek) Kocik

Fibonacci sequence and Ford circles


For more, see  arXiv:2003.00852

Can get it here

5 Feb 2020

Don Redmond

When are Rectangles Squares?