William J. Keith Michigan Tech University Math Department Tenuretrack Assistant Professor 
Teaching My courses for the fall of 2015 are:


My office hours are MWF 23pm. My office is Fisher 316.  
Outside of my office hours, students should get in touch with me using my MTU email, wjkeith [at] mtu.edu (no spaces). I am generally available at other times MWF if a student emails me well in advance. This and other class information is available on the syllabus for each class, which is also on the course webpages linked above. On Tuesdays and Thursdays after class I am typically involved in research activities and unavailable for student meetings. 
I currently serve on the Undergraduate Committee and help organize the Combinatorics Seminar.
Here is the Combinatorics Seminar Schedule for the current semester, with previous schedules back to the Spring of 2013.
My research centers on partition theory and related qseries and symmetric function identities. Over the course of my postdoctorate at the University of Lisbon, I expanded my areas of interest to other enumerative combinatorics questions, though I remain primarily interested in partitions. For the standard outline of my research, please help yourself to a copy of my CV and publication list, both in pdf format. For more detail, please browse below. 
Selected Publications and Preprints
A few of my more recent papers (and my thesis). I link to the published versions of these papers when possible, but preprints of all my work are available on the arXiv.
Ongoing Research
These are a few of the ongoing research questions which interest me. I am always happy to receive comments from interested colleagues, and would be pleased to collaborate with someone who has useful ideas in these directions. Graduate students considering combinatorics who find some of these questions interesting are encouraged to contact me as well.
1.) I continue with great interest to study more about the polynomials described in the "Ramanujan congruence analogue" paper, which I think are fascinating combinatorial objects with properties that deserve exploration.2.) In nonpartition work, I am presently interested in another conjecture of Amdeberhan, Manna and Moll, this one their open conjecture on the 2adic valuation of the Stirling numbers of the second kind.
3.) As mentioned above, I have recently become interested in mregular partitions, especially their lowmodulus congruences.
4.) Of the famous problems that interest me, I would name the Borwein Conjecture, on the positivity of coefficients of a series defining a certain weighted sum over specialized partitions, and Lehmer's Conjecture on the nonzeroness of the coefficients of Ramanujan's tau function.