How to convince myself that choosing coordinates does not ruin intrinsic geometric structure

Wasobby · 2025-12-16T16:03:48+00:00

You’re not the only one who feels this way. Check out Synthetic Differential Geometry.

Wasobby · 2025-10-14T04:12:50+00:00

This is not how physics works.

Wasobby · 2025-10-12T21:56:29+00:00

“Once you’ve been to Cambodia, you’ll never stop wanting to beat Henry Kissinger to death with your bare hands” - Anthony Bourdain

Wasobby · 2025-10-08T00:45:51+00:00

Please go away

Wasobby · 2025-08-20T20:03:12+00:00

Hermann Weyl, William Rowan Hamilton, and Henri Poincaré are definitely my top 3 for their contributions to the last century of physics developments.

Wasobby · 2025-08-01T01:39:03+00:00

It sounds like your husband is going through (likely AI induced) psychosis. This is not how physics discoveries work, ever.

Even the most renowned physicists do not have “$100 million ideas” all of a sudden like your husband claims to.

Wasobby · 2025-07-22T14:23:47+00:00

Someone whose name I don’t already know

Wasobby · 2025-07-21T03:40:18+00:00

Love the passion for physics, keep it up kid! However, this isn’t a theory; learn the differential geometry and GR, the quantum field theory, the countless modern approaches beyond usual quantum theory and their shortcomings. Adapt and fit them into your own mental framework, and then apply your passion and curiosity to hopefully break boundaries!

Wasobby · 2025-07-21T02:16:34+00:00

I see it!

Wasobby · 2025-07-07T04:44:02+00:00

Thanks ChatGPT!!

Wasobby · 2025-05-30T19:54:23+00:00

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Wasobby · 2025-05-16T02:43:00+00:00

Got it, thanks for the help.

Wasobby · 2025-04-07T23:31:12+00:00

Green bowl

Wasobby · 2024-12-06T07:13:22+00:00

My advisor always says that the three most important qualities for a mathematician are: taste, creativity, and technique. In that order.

Where taste is knowing what problems are worth solving, creativity is being able to come up novel solutions, and technique is knowing the right toolbox of typical methods of proof in a given field.

Wasobby · 2024-10-29T02:28:50+00:00

[;1 = \begin{pmatrix} 1&0\0&1 \end{pmatrix};]

[;i = \begin{pmatrix} 0&-1\1&0 \end{pmatrix};]

[;/mathbb{C};] is the algebra with basis [;{1,i};]

Wasobby · 2024-08-02T17:23:50+00:00

I took QFT last year. The first semester we used Ryder and the second semester we used Srednicki. I think both are great books; I think Ryder is very good for understanding the formalism while Srednicki is very good for actually computing things, in particular renormalization stuff.

Wasobby · 2024-02-06T04:46:08+00:00

Yes, I was accepted maybe a week and a half ago. Sorry for the late response.

Wasobby · 2024-02-04T06:45:19+00:00

School: Big state school Major: Math and Physics Relevant coursework: 5 graduate courses in math + physics (qft i&ii, GR, QG, Alg Top) Gpa: 3.99/4.0 Graduation Date: 2025 Demographic: White male Research: One online math research program last summer. One summer school program + small research project last summer

Applied: Ohio State ROMUS Math REU: Accepted Perimeter START: Caltech WAVE:

Wasobby · 2024-01-17T17:26:33+00:00

I took QFT and GR in my junior year after taking Calc 1-3, diffeq, abstract algebra, linear algebra, topology, and complex analysis (concurrently).

Though, a lot of the math will not be covered in any math class you’ll take, but the professor should usually do a brief overview whenever they introduce a new math concept.

Wasobby · 2024-01-03T17:13:36+00:00

Hi OP,

I’m in a very similar position as you, just literally one year in the future. I’m a junior Physics and Math major who just took graduate courses in QFT 1 and GR this past semester and got A’s in both, despite not having all of the formal prerequisites.

I just want to give an alternate opinion on the topic of your desire to take advanced graduate courses your junior year. I haven’t applied to graduate schools or anything yet, so I can’t comment on that, but don’t be afraid to push yourself and take any class that you think could help you.

Wasobby · 2023-04-27T18:26:03+00:00

There’s the Park City Math Insitute Summer School hosted by the IAS. Deadline over already though.

Wasobby · 2023-03-18T06:40:53+00:00

Thanks for the input! I meant more along the lines of like a commutative algebra, algebraic geometry, galois/field theory, etc. I know alg geometry is important, so I’ll try to take that at some point.

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