Neccessary Math before going for a PhD

  • Thread starter Thinker301
  • Start date
  • #1
65
0
Hello everyone,

How much math should I know like the back of my hand before I go to grad school, so that I am not barred from a field because I don't know enough math.

I am not sure what field of physics I want to go into. I will probably be in theory though. (I am doing research in theory right now and really enjoying it, but I am planning to do an reu in experiment because when else will I have the time)

Thanks
 

Answers and Replies

  • #2
Dr. Courtney
Education Advisor
Insights Author
Gold Member
3,242
2,381
Algebra and trig (high school). Calc 1, 2, and 3. Diff Eq.

These all need to be mastered. Depending on what field, you may need to master other aspects of undergrad math also.
 
  • #3
65
0
Awesome, I have got those down. Say I want to go into HEP/CondensedMatter/Astro/Nuclear (all theory)?
 
  • #4
1,016
308
Also linear algebra.
 
  • #5
65
0
I am learning that now! It's rather interesting!

What about Real Analysis, Complex Analysis, Abstract Algebra, Lie Theory, Differential Geometry, Calculus of Variations,etc?
 
  • #6
Student100
Education Advisor
Gold Member
1,649
416
I am learning that now! It's rather interesting!

What about Real Analysis, Complex Analysis, Abstract Algebra, Lie Theory, Differential Geometry, Calculus of Variations,etc?
Work through Mary boas book. Then in graduate school take a mathematical methods course. That will introduce you to many topics that are applicable to your physics study. Once you've started research in a particular field, you can pick up what else you need to know. It can depend on many things, and the fields you've listed are quite different in terms of mathematics.
 
  • #7
radium
Science Advisor
Education Advisor
759
234
For CMT it is highly dependent on the specific area but based on recent topics of interest, I would say topology, continuous and discrete groups, representation theory/projective representations, complex analysis, asymptotic methods (stationary phase, saddle point approximations), differential geometry especially in the context of holography.
 

Related Threads on Neccessary Math before going for a PhD

Replies
2
Views
4K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
2
Views
580
  • Last Post
Replies
0
Views
1K
  • Last Post
Replies
2
Views
2K
Replies
2
Views
8K
Replies
11
Views
3K
Replies
3
Views
3K
Top