Physics Resources
Below is a collection of resources being websites, online texts, or even forums that I have found helpful over the years, and continue to do so. Some are even just topics that I enjoy! Others are my own personal hand-written notes and derivations to problems.
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The image to the left is the view from the bay that is on the edge of MIT's campus (Boston, MA).
Personal Textbook Solutions
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These are solutions for textbooks I have read and studied either for research interest, or pure interest. These are still work in progress solutions as of (9/26/2021)
General Relativity
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Thomas Moore as a great textbook for an introduction into GR and brilliant worksheets found here.
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John Baez (a mathematician I think everyone should follow) can help you find the right GR text for you! He gave a write-up of which one is right for you.
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David Tong at Cambridge has some more advance lectures notes, but they are clear and well written.
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GR can have difficult calculations, thankfully there are machines called computers. Matthew Headrick has a nice mathematica package for just this.
Python, The Shell, and Mathematica Tips/Help
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This is (another) introduction into Python.
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This is personally my go-to for solving physics in python (ODEs, PDEs, chaos, and Feynman integrals). ​
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This is a nice (although outdated in terms of code) for mathematica used in physics.
Mathematical Physics
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These are lectures notes and introduction into geometric quantization by Baez.
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This is a journal dedicated to geometric flows.
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John Baez, of course, also has a blog of sorts where he posts a great deal many interesting topics. Most are research-topic sort of stuff.
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A paper discussing current and plausible applications of Ricci flow. This paper here also has some.
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This paper here also has some applications. ​
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This is an introduction to real analysis... if brave enough... I have barely gone through...
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But it is a workbook style so it is really excellent​
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This is a nice reminder of how to do functional integrals and use Green's functions. ​
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These are the best notes for learning Ricci flow by Peter Topping. The only thing necessary is an understanding of differential geometry in abstract notation.
AdS/CFT Lectures and Notes
Lecture Series'
Notes in Theoretical Physics
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This is an introduction in renormalization group flow in D=4.
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Of course, David Tong has lectures on string theory as well. I highly recommend using his conformal lectures for any textbook. ​
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For something a little more interesting, Witten wrote an article introducing the motivation for using Knot mathematica and interlinking with quantum theory.
Personal Solutions
Partial solutions to Polchinski's String theory:
Thermodynamics & Statistical Physics
​A good resource for running simple simulations on statistical mechanics and thermodynamics is given by Gould and Tobochnik here.
The textbook coupled to these simulations is here​
Philosophy & Various Topics
One of my favorite writers and philosophers of all times is Christopher Hitchens. Just to list some of his debates: Does God Exist, The Great God Debate, Is Islam A Religion of Peace, and Does Atheism Poison Everything?
Another person I look towards in psychology and moral psychology is Jonathan Haidt and Jordan Peterson. I already mentioned Peterson's book, but Haidt has a book called: The Righteous Mind. Read it. Together, they also talked about the current University atmosphere here, and Haidt gave a lecture on why university speakers are being shut down here.
Cosmology & String Cosmology Notes
Twistor Theory Notes & Important Papers
Loop Quantum Gravity Notes
The Swampland Notes
Miscellaneous Notes not Sorted
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Energy functionals for Calabi-Yau metrics.... (note to self, maybe very important...)
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Kahler-Einstein metrics.....​
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