Math What are some hip areas of mathematics?

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Current discussions highlight several "hip" areas of mathematics that are gaining traction among researchers. Geometric group theory is noted for attracting young mathematicians and is considered a promising field with job opportunities. Other areas of interest include mathematical biology, which combines mathematics with biological research, and various branches of applied mathematics such as financial mathematics and engineering applications. The conversation emphasizes the importance of identifying specific areas of interest to explore further, as the landscape of mathematical research is vast and diverse. The role of advisors and their reputations in securing future academic positions is also acknowledged, influencing the choice of research focus for aspiring graduate students.
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What are some "hip" areas of mathematics?

What are some new, hot, hip, fashionable areas of mathematics? What are some research areas that are a hotbed of research now or have some ripe, low hanging fruit?

I am trying to broaden my mathematical horizons, so to say. I am in the process of applying for graduate schools & facing a mid-application crisis. I've always loved number theory and considered looking into programs with strong research focuses in it. However, being the "crown jewel" of mathematics, it seems like the very best, top notch mathematicians are the only ones who seem to cut it in the field. I consider myself a strong student, but I'm no harvard elite and probably not harvard material.

After talking with some professors & mentors, I have the impression that who your advisor is, and how well known & accomplished they are greatly affects your chances of landing a post-doc, a professorship, etc... And I just don't know if I can compete with all the brilliant young people whom I have met with and heard of, and I don't know if I want to fight tooth and nail against them for every position I need (graduate school, a post-doc, a professorship [maybe, someday]).

So, as I said, I would like to find some other areas I am interested in. I thought it would be a good idea to learn about some relatively new, accessible, exciting fields.

As an example: I hear some interesting people are doing interesting things at Cornell, U. Chicago & elsewhere in something called geometric group theory. Neat. I'm told it has attracted several young mathematicians and since it's new, they're employable! Neater.

What are some interesting new fields of mathematical research, who is researching them, and at what universities? Pure, or applied even but I don't have much undergraduate experience there. Mathematical biology sounds fascinating.

Thank you!
 
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Hey teamoh and welcome to the forums.

The truth is there are tonnes of different areas of research that are "exciting" in their own regard.

What area are you thinking of? Statistics? Applied mathematics? (Financial mathematics? Engineering Applications? Science mathematics? (Biology, Chemistry, Physics)), Pure mathematics?

The reality is there is so much out there, and you need to really specify a particular area to get a meaningful answer to your question.
 
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