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 ...