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Am currently doing a self-study of hurwitz numbers and Hurwitz theory, is there a good source for one with only basic knowledge of algebraic geometry. Notes and papers are also welcome.

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    $\begingroup$ There was a course on Hurwitz numbers at the UC Davis a few years ago: math.ucdavis.edu/~mulase/courses/mat280f09.html Somewhere down that page (next to "References") it says: "We intend to produce lecture notes to be published". Maybe you can ask Prof. Mulase if they ever came to existence. If so, I would love to read them, too :) $\endgroup$
    – Jonas Morrissey
    Commented Nov 8, 2012 at 18:08

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There is a nice exposition by Renzo Cavalieri that I often recommend to students:

http://www.math.colostate.edu/~renzo/IMPA.pdf

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