en.wikipedia.org/wiki/Lists_of_mathematics_topics

This article itemizes the various lists of mathematics topics. Some of these lists link to hundreds of articles; some link only to a few. The template to the right ...

en.wikipedia.org/wiki/Areas_of_mathematics

Mathematics encompasses a growing variety and depth of subjects over history, and comprehension requires a system to categorize and organize the many subjects into more general areas of mathematics. ... Research institutes and university mathematics departments often have sub-departments or study groups.

www.quora.com/What-are-currently-the-most-interesting-research-areas-in-applied-mathematics

What is "most interesting" is, by definition, in the eye of the beholder. If you want to get broad ... Watch thousands of videos on calculus, geometry, and other advanced math free with real math experts. ... Industrial and Applied Mathematics ) and the topics covered in papers that are published in applied mathematics journals.

www.quora.com/What-are-currently-the-most-interesting-topics-to-research-in-mathematics

This question is far too subjective to admit an answer. There are at least a dozen broad areas of active research, each of which has dozens of individual active ...

www.quora.com/What-is-the-most-active-research-area-in-mathematics

retrospective edit: See Daniel's answer above. He does a much better job of both saying why ..... How is research in mathematics actually done? What are currently the most interesting topics to research in mathematics? I am in tenth class now.

wumath.wustl.edu/undergraduate/information-math-majors/undergraduate-research/research-ideas

Some of our faculty have listed ideas for undergraduate research work. ... If one of the areas sounds interesting to you, contact the faculty member to discuss ... well-established topics in graduate level math, others are much more open ended and .... Another direction to explore is the theory of direct current electric circuits ...

www.quora.com/What-is-the-most-exciting-new-research-in-mathematics

One can't really answer this question without inserting a huge amount of personal ... Lately, I've been hearing a lot about topics like random matrix theory ... Joint Mathematics Meetings, there is also a 'current events' session ...

mathoverflow.net/questions/10801/quantitatively-speaking-which-subject-area-in-mathematics-is-currently-the-most

I was wondering if there is a list of the most active branches of mathematics? ... As it currently stands, this question is not a good fit for our Q&A format. ... inaprpriate editing since the edited question is rather different (and less interesting). ... 28593 05 Combinatorics 28296 90 Operations research, mathematical programming ...

www.nap.edu/read/15269/chapter/6

The Mathematical Sciences in 2025 examines the current state of the mathematical ... Research that is motivated by, or applied to, another field of science, ... Some of the most exciting advances have built on fields of study—for example, ..... Cancel. have spanned topics such as mathematical biology, theoretical and applied ...

www.educ.cam.ac.uk/research/projects/current

These projects are listed chronologically with the most recently funded first and .... Social Pedagogical Contexts for Teaching and Research in Mathematics