Jacobson R. Blomquist

Department of Mathematics
The Ohio State University
Columbus, OH 43210

Web: https://people.math.osu.edu/blomquist.9/
Email: blomquist.9@osu.edu
Office: MW 249
Phone: (614) 247-1988

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Short Mathematical Biography

I am a graduate student at The Ohio State University working toward a Ph.D. in Mathematics, which I expect to complete in May 2018, under thesis advisor John E. Harper. I received a BA in Mathematics from Boston College in 2008.

Research Interests

My research interests lie mainly in homotopy theory and algebraic topology. I enjoy (co)-simplicial techniques in homotopy theory. In recent work I have developed estimates for strong convergence of completion of structured ring spectra with respect to the Freudenthal suspension map. I have also worked on completion of spaces with respect to stable homotopy, and their finite analogs, that recasts some of the earlier results in this area into the framework of a derived equivalence comparison with coalgebraic objects. A lot of the arguments developed use some neat Goodwillie calculus ideas, and their analogs in structured ring spectra, to work out some key connectivity estimates. I'm also working on a side project involving pro-structured ring spectra on developing some analogs of earlier ideas of Goerss and Isaksen for homological completion of spaces.

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