Note: You do NOT have to be a Princeton student to submit. We'd be happy to hear from anybody enthusiastic about math!
Deadline: For inclusion in the fourth issue, all submissions must be received by March 31, 2017.
Format: LaTeX source file
Length: 8-12 pages
Content: Expository or research articles written at a level accessible to an interested undergraduate. You can assume the reader is familiar with topics covered in a standard required undergraduate curriculum, i.e. a first course or two in: algebra, real and complex analysis, topology, geometry, discrete math, probability theory, differential equations, etc. This corresponds to the level of 300-level courses at Princeton. In addition, you may assume more advanced material, provided you state this somewhere near the beginning. If you use material that is uncommon knowledge for an undergraduate, you should cite a standard textbook as reference. Feel free to cite theorems without proof provided that you can explain their statements and relevance.
Style: Readable and light - emphasizing accessibility and interest over complete technical rigor. Think of a textbook you have particularly enjoyed reading. Don’t worry about glossing over technicalities or avoiding complete generality (though try to mention it when you do so). Submissions do not have to be completely formal - writing in a prose style on issues of philosophical background, math history, or motivation are perfectly acceptable and even encouraged. Even research articles should be written in an expository style, rather than the style of research articles in professional journals. This means that you should motivate all of your results, provide background, and discuss related interesting results/topics.
Notability/Novelty: Either a completely new research result or an expository article documenting a connection, concept, or proof which isn’t immediately obvious or well-known. Please no standard proofs of famous results that could be found on Wikipedia or across multiple standard textbooks.
Examples: a non-traditional proof of a famous result, an exposition on a concept with motivation from a different area of math, a novel or "cute" application of a theorem to something in the real world, a short non-technical introduction to a concept from an obscure or advanced area, a discussion of historical approaches to a modern problem, etc.
Citations: Cite any result referenced in the text and any work consulted. For any proof the author does not invent, there should be a clear reference. For expository articles, a brief list of recommended readings for the interested reader is encouraged.
Areas of Math: Research accepted from any area of current math research, including applied math. Expository articles should be in an area that is not highly technical and ideally somewhat less well-known (e.g. an introductory article on an interesting but less well-known combinatorial invariant is preferred to an article outlining the basic theory of schemes in algebraic geometry). Recreational math is highly encouraged.
Refereeing: All review of submitted articles will be done in a double-blinded manner, in keeping with the accepted practices in academic journals. In particular, reviewers will be unaware of the author’s background, identity, and institutional affiliations. To this end, submissions should avoid such identifying information in their body.
Resubmission: Submissions should not have been previously accepted by an academic journal, nor should they be currently in the review process. Submissions that have been previously submitted to, but not accepted by, other journals are acceptable.
Method of Submission: Please email your submission to firstname.lastname@example.org with the subject line "PUMJ Submission."