Research
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Office Hours: Tuesdays 11-12, Wednesdays 12-1
Figure 1-Yours Truly
Figure 2-Come visit me at Weber!
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| Welcome to my Research page! I am an algebraic geometer doing research on geproci configurations of points in projective space, unexpected varieties, superabundance of varieties, and fields of positive characteristic with my advisor Brian Harbourne. I have found new configurations of geproci sets of a kind that does not exist in characteristic 0, and I have also studied quasi-elliptic fibrations, which exist only in characteristics 2 and 3. A set of points in ℙ3 is geproci (/ʤəˈproʧi/) if a general projection of those points into a general plane is a complete intersection of two curves in ℙ2. (Geproci comes from "GEneral PROjection is a Complete Intersection.") Right now I am particularly interested in recent work of Chiantini, Farnik, Favacchio, Harbourne, Migliore, Szemberg, and Szpond. I have also been looking at the Lefschetz properties and the containment problem. Here's a list of papers I've (co)authored. Here's a page of talks I've given. Here's a page of some of my expository papers and notes. I also like to have fun at conferences! |