Top five schoolboard, world ranking

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The discussion focuses on identifying the top five schools for various academic disciplines, specifically mathematics, computer science, physics, and biology. Participants express uncertainty about specific rankings and suggest referring to a second sticky thread for more detailed information. There is a consensus that definitive rankings may not be universally known and could vary based on personal opinions rather than established metrics.
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Which schools are top five about mathematics ?
Which schools are top five about computer science ?
Which schools are top five about physics ?
and which schools are top five about biology ?
 
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I will direct you to the second sticky thread. That should answer some of your questions, i don't know the rankings, i doubt anyone else has memorized them either, unless what you want to know is personal opinion.
 
I’ve been looking through the curricula of several European theoretical/mathematical physics MSc programs (ETH, Oxford, Cambridge, LMU, ENS Paris, etc), and I’m struck by how little emphasis they place on advanced fundamental courses. Nearly everything seems to be research-adjacent: string theory, quantum field theory, quantum optics, cosmology, soft matter physics, black hole radiation, etc. What I don’t see are the kinds of “second-pass fundamentals” I was hoping for, things like...
TL;DR Summary: I want to do a PhD in applied math but I hate group theory, is this a big problem? Hello, I am a second-year math and physics double major with a minor in data science. I just finished group theory (today actually), and it was my least favorite class in all of university so far. It doesn't interest me, and I am also very bad at it compared to other math courses I have done. The other courses I have done are calculus I-III, ODEs, Linear Algebra, and Prob/Stats. Is it a...

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