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Referencing a Theorem in a Paper?

I'm making the final edits for a paper and I have a question more about the etiquette. I want to use a theorem from another paper and its obvious I have to cite it, but do I need to prove it too? I ...
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Making modular representation theory and cohomology 'compelling' and 'accesible'

I'm currently putting together an application for a dissertation completion fellowship offered through my university. A part of the application includes 500-1000 words describing my dissertation. ...
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How to understand if one is eligible for research?

What are the eligibility criteria for one to undergo research in Mathematics? Or should I place the question as what virtues of a student are given importance when one is interviewed for a PhD ...
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Machine Learning and Probability/Stochastics

Main question: What connections are there between machine learning and stochastics (Probability theory, analysis, processes, SDEs)? Background: I've just been accepted into a master's programme for ...
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How can you return to studying/researching pure mathematics from degree level theoretical physics?

I understand this question is subjective, but I'm looking for factual answers, preferably from people who have done or tried to do the same thing within the UK (a.k.a "This is what I/my friend did" ...
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Career Advice: I love Abstract Algebra and Analysis… What should I do?

I love discrete things as much as continous things... Does a PhD in Abstract Algebra necessarily mean abandoning continuous objects, integral etc.? Or Does a PhD in Analysis necessarily mean ...
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What journals/websites do mathematicians have to check frequently?

There are so many news and publications updated online everyday. What are some must-read journals or websites? Such as AMS notices, or Arxiv.org? On one hand, I want some comprehensive news and the ...
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Potential Careers in Math For Someone with Testing Disability

I've been studying math for several years (Bachelor's in pure mathematics) at university, and so far, I've been receiving excellent scores on the homework exercises (over 95% average) in all subjects ...