I am a Senior Lecturer at The University of Melbourne working in algebraic topology. I have difficulty stating quickly my research interests, but I usually say that I live in the intersection of operad theory, homotopy theory, and higher category theory. These days, I like to focus on applications of operads to low dimensional topology and geometry. My daily arXiv briefings include algebraic topology, category theory, and quantum algebra.
I finished my PhD in 2010 at the University of Illinois-Chicago under the supervision of Brooke Shipley. I was a postdoc under J.F. (Rick) Jardine and Benoit Fresse, and worked at UCLA, before coming to Melbourne in July 2015.
I have/had several students who are now loose upon the world:
Michelle Strumilla is working on her PhD. Michelle is thinking about higher cyclic operads and dendroidal sets.
Patrick Elliott is working on his PhD, joint supervised with Christian Haesemeyer. Patrick is thinking about schematic homotopy types and the monodial properties of the schemetization functor.
Tamara Hogan is working on her Masters. Tamara is thinking about ribbon braid groups, operads, and knot invariants.
Ethan Armitage finished his Masters at Melbourne in 2018, Profinite Completion of Modular Operads and an Infinity Cyclic Operad of Surfaces. Ethan won the Wilson Prize for his thesis.
Musashi Koyama finished his Masters at Melbourne in 2017, Applications of Cyclic Wiring Diagrams, and is now working on a PhD at The Ohio State University. Musashi won the Nanson Prize for his thesis.
Cole Hugelmeyer finished his Masters/Honors at UCLA in 2015 and is now working on his PhD at Princeton.
If you think you are interested working with me send me an email or come and talk to me in person. I can always be found after the Topology Seminar on Monday afternoons.