How Competitive Is Admission to the Institute for Advanced Study?

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How does one get admission in the IAS and at what level?
 
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TL;DR Summary: What topics to cover to safely say I know arithmetic ? I am learning arithmetic from Indian NCERT textbook. Currently I have finished addition ,substraction of 2 digit numbers and divisions, multiplication of 1 digit numbers. I am moving pretty slowly. Can someone tell me what topics to cover first to build a framework and then go on in detail. I want to learn fast. It has taken me a year now learning arithmetic. I want to speed up. Thanks for the help in advance. (I also...
Hi community My aim is to get into research about atoms, specifically, I want to do experimental research that explores questions like: 1. Why do Gallium/Mercury have low melting points 2. Why are there so many exceptions and inconsistencies when it comes to explaining molecular structures / reaction mechanisms in inorganic and organic chemistry 3. Experimental research about fundamental Quantum Mechanics, such as the one being followed by Hiroshima university that proved that observing...
guys i am currently studying in computer science engineering [1st yr]. i was intrested in physics when i was in high school. due to some circumstances i chose computer science engineering degree. so i want to incoporate computer science engineering with physics and i came across computational physics. i am intrested studying it but i dont know where to start. can you guys reccomend me some yt channels or some free courses or some other way to learn the computational physics.

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