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What is a neat way to include "ongoing research projects" in a mathematician's academic CV?

By this, I mean something that is narrower than a generic "research interest", but not quite as defined as a "paper in preparation".

One colleague of mine uses the following notation:

Cubic Nonlinear Schrödinger Equation

main objectives: study of such and such properties;

in collaboration with Dr. X and Dr. Y

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    I think most people don't do this because they don't want to "tip their hand" and invite others to scoop them. When you list a paper as "in preparation", you're asserting that you're either confident that the paper will be finished sooner than any competitors could get there, or you're desperate enough for CV entries that you don't care. But "ongoing research project" seems to incur all the risk with none of the benefits. – Nate Eldredge May 29 '18 at 1:25
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    In particular, if this CV is going to be publicly available, I think you ought to get permission from your collaborators Drs. X and Y before including this. – Nate Eldredge May 29 '18 at 1:27
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It's not a standard practice to list "ongoing research projects" (from which you don't yet have any papers) on your CV. I wouldn't even say it's standard to list papers that are "in preparation" (some people do, some don't; I personally am not a fan of this).

The point of a CV is to give a summary of your academic history, accomplishments and experience. It's not a place for people to get to know your hopes and dreams. And I think it will look strange on an academic CV, so I would recommend against including listing ongoing projects.

If you're asking about this in the context of job applications/promotion/etc, the place to write about this is in a research statement (and possibly a cover letter if you think it's really relevant). If you're asking about this in the context of grants, the place to discuss this, if it's relevant, is in your proposal.

Two things you can do, if you really want to, is have a line about "research interests" and have a section listing collaborators. (On a related note, some people also group papers by research topic, making research interests clear, though I personally don't like this in most contexts.) These aren't typical, but they won't look so strange to make people think you are weird for including them.

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You can list these as "projects/studies in data collection phase" or "current research projects" but as Nate said above, it's a risky move and is probably best left off your CV until you're at least preparing a manuscript for submission.

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