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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 ...

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. ... What are currently the most interesting research areas in applied mathematics? ... and the topics covered in papers that are published in applied mathematics journals.

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 .... There are lots and lots of very exciting things happening, and a list of every possibly interesting research topic would be infinitely long. These are .... What are currently the most interesting research areas in applied mathematics?

www.quora.com/What-is-the-most-exciting-new-research-in-mathematics-What-do-mathematicians-find-exciting-nowadays

What do mathematicians find exciting nowadays? ... of topics that have appeared as 'Mathematics Research Communities' by the American Mathematical ... Every year at the Joint Mathematics Meetings, there is also a 'current events' session ...

math.mit.edu/research/index.php

Research. Mathematics at MIT is administratively divided into two categories: Pure ... interesting and useful mathematics, and where innovative mathematical ...

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

Internally driven research within the mathematical sciences is showing an increasing ... Some of the most exciting advances have built on fields of study— for ..... new communities and networks in topics such as mathematical materials science, ... both theoreticians and practitioners in the field to discuss its current problems.

physics.stackexchange.com/questions/20332/interesting-topics-to-research-in-mathematical-physics-for-undergraduates

It is wide open as mathematics and as physics, and there is a potential for ... is not known for most nonlinear equations, not even numerically.

www.ams.org/programs/students/emp-student-research

Each issue has 10 or more articles by a science writer, covering a new ... Subjects treated are on the frontiers of mathematical research,but reading about them ...