What math would I need? (physics-math double major interested in THEP)

In summary, a physics-math double major interested in theoretical high-energy physics (THEP) should focus on advanced calculus, linear algebra, differential equations, and complex analysis. Additionally, knowledge of group theory, topology, and numerical methods is beneficial. Familiarity with mathematical physics concepts and computational techniques will also enhance understanding and problem-solving skills in theoretical physics.
  • #1
Ege Artan
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So, I am going into my second year in my physics-math double major. For our program, not much specialized math is specifically needed. I love theoretical high energy physics, have been attending seminars in institutes, and been trying to do some reading on my own (it is hard without the math tbh, one constantly feels the need to look up some mathematical idea/object/etc.). I absolutely love complex analysis and differential geometry, I've a couple of textbooks and it is absolutely thrilling to learn something new in these fields. This goes for abstract algebra and representation theory as well. I wouldn't say the same for real analysis but still love it, just not as enthusiastic, and I despise statistics (I know it is important, I probably need to read more to get into interesting stuff).

My question is, for someone who wants to pursue theoretical high energy in the future, which topics would be "needed"? I know one has to be solid in diff. geom. and real analysis, but what else would be beneficial in THEP? I know it is basically impossible for someone to say "you need this this and this", but at least, to be able to keep up with the current research, what would I need solid foundation in? As I've said, I absolutely love these fields but I simply cannot study them all. My course selection is kind of limiting me and I am afraid I may not even be able to take proper upper year statistics courses. I wish I could take them all, love learning, but it is simply impossible and I am at an impasse.

Would it be a good idea to try to cram them all into my upper years so that I can learn them all, or can I leave some (ie stats) of them for the grad school? I really cannot decide on what to prioritize, to take courses that are interesting and may not be as useful, or take courses that are useful but may not be as interesting. What do you think?

Lastly, is it true that we may need some new perspectives in thep? Without a significant breakthrough in plausible experimental predictions, seems like thep has been stagnating for quite some time. Would learning not widely used mathematics fields be logical to maybe have a different perspective? I mean isn't it the case that representation theory really picked up the pace after 1896, and then it made its debut into thep in 1930s? Wouldn't it mean that to accomplish desired progress in thep, one has to be up to date in modern math? Is it different for the current thep, or does a thep physicist has to be an "amateur mathematician" at the same time as well?

Ty for the answer in advance
 
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  • #2
Isn't it HEPTH; High Energy Physics, Theory? At any rate, re your idea of cramming courses, remember you need to keep a high GPA to be accepted into a reasonable program. I'd suggest taking an amount /type of class that will allow you to keep your GPA at 3.6+.
 
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  • #3
You got a lot of advice the last time you posted along these lines.

We've been through "I'm too smart for Toronto" and "I'm too smart for my curriculum." This is again a statement that you are being held back - so did you get a 4.0? If not, you should fix that first.

Is it possible that theoretical physics would make more progress if you were to show them the way with better math? Sure. But honestly, I would wait until you had a few accomplishments under your belt before going down this path.

Finally, you might want to ask yourself what a LOR from PF would say if we were to write one. Would it say "He has a very high opinion of himself, but seldom helps others. It's all what we can do for him." And would such a letter help? And will your Toronto letters look any different?
 
  • #4
WWGD said:
Isn't it HEPTH; High Energy Physics, Theory? At any rate, re your idea of cramming courses, remember you need to keep a high GPA to be accepted into a reasonable program. I'd suggest taking an amount /type of class that will allow you to keep your GPA at 3.6+.
Yep you could say HEPTH, our school uses THEP so I've been used used to it to be honest. Is it referred to as hepth more than thep? If so, I should be using it from now on and thank you for correcting me.

I see, my gpa needs to be the top priority from what I've understood. But like I surely will take at least one or two math courses won't I? At that point, what course do you think I should be prioritizing? Or do you think prioritizing my gpa should be to an extent where I should be avoiding to take any upper year math? Ty
 
  • #5
Vanadium 50 said:
You got a lot of advice the last time you posted along these lines.

We've been through "I'm too smart for Toronto" and "I'm too smart for my curriculum." This is again a statement that you are being held back - so did you get a 4.0? If not, you should fix that first.

Is it possible that theoretical physics would make more progress if you were to show them the way with better math? Sure. But honestly, I would wait until you had a few accomplishments under your belt before going down this path.

Finally, you might want to ask yourself what a LOR from PF would say if we were to write one. Would it say "He has a very high opinion of himself, but seldom helps others. It's all what we can do for him." And would such a letter help? And will your Toronto letters look any different?
To be honest I have no idea what you are going on about, this is beyond comprehension at this point. Showed this post to my friends (some of whom disagree with me on a lot of topics but they at least keep it real) and the old posts you are talking about but practically everyone was confused on what you were trying to accomplish, or if there even was one in the first place. I am starting to think I am kind of living rent free lol. In my posts I've tried to be nothing but sincere, yet this is the internet, some people will find something to hate on no matter what, I guess you are one of those. Like really, what are you on about? I've asked you a very simple question, how did you fumble answering like a normal person, this bad?

I still cannot even comprehend why you might be labelled as a "science advisor", or "education advisor" but from my experience, I've only felt hostility from you towards me, no matter how hard I tried to be understanding. You might have your own reasons, maybe I could not understand them all, but you are straight up unhelpful right now. I've thought before this post that I might pick up something new from you even though I disagree with you most of the times, but it has gotten to a point of you being too insincere, at least from my perspective. I am blocking you so please don't waste your precious time trying to respond back, you still have some other people to disturb in this forum.

Note that the reason why a lot of people look down upon this forum, and why this forum is not being spoken of highly, is because of hostile people like you that feel like lecturing people on life, based on their "superior past experiences" rather than trying to be understanding, helpful, and go an extra mile to help.
 
  • #6
Despite your screed, you are not on the optimal path to success. But carry on. Do what you want.
 
  • #7
Speak to your professors/academic advisor and see what courses they recommend.
 
  • #8
Vanadium 50 said:
screed
TIL a new word! :smile:
 

FAQ: What math would I need? (physics-math double major interested in THEP)

1. What level of calculus do I need for a physics-math double major?

For a physics-math double major, you will need to be proficient in multiple levels of calculus, typically including single-variable calculus, multivariable calculus, and vector calculus. These courses cover essential concepts such as limits, derivatives, integrals, and differential equations, which are foundational for understanding advanced topics in both physics and mathematics.

2. Do I need to take linear algebra?

Yes, linear algebra is crucial for both physics and mathematics. It provides the tools to understand vector spaces, linear transformations, and matrices, which are essential for solving systems of equations and for applications in quantum mechanics, relativity, and various mathematical fields. A solid understanding of linear algebra will greatly benefit your studies in theoretical physics.

3. How important is differential equations in my studies?

Differential equations are extremely important for a physics-math double major. Many physical phenomena are described by differential equations, such as motion, heat transfer, and wave propagation. Understanding both ordinary and partial differential equations will allow you to model and analyze these systems effectively, making this subject a key component of your curriculum.

4. Should I take any advanced mathematics courses?

Yes, taking advanced mathematics courses such as real analysis, complex analysis, and abstract algebra can be highly beneficial. These courses deepen your understanding of mathematical concepts and provide rigorous frameworks that are valuable in theoretical physics. Additionally, they help develop critical thinking and problem-solving skills that are essential for research and advanced studies.

5. Is statistics or probability theory necessary for a physics-math double major?

While not always emphasized, statistics and probability theory are important, especially in experimental physics and data analysis. Understanding statistical methods can help you interpret experimental results, while probability theory is essential for grasping concepts in quantum mechanics and statistical mechanics. Taking courses in these areas will enhance your analytical skills and broaden your understanding of physical theories.

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