My current research projects include:
Distinguishing Ribbon R4's with End Floer Homology - Joint with Jen Hom and Tye Lidman
Uncountably Many Exotic Smooth Structures on M x R For Irreducible 3-Manifolds M
Finding a Kirby Diagram For a Large Exotic R4 and visualizing topologically flat disks
Legendrian Fary-Milnor Theorems - Joint with Sierra Knavel and Tom Rodewald
My statistics research is about random graphs and theoretical statistics. In particular, we've addressed the theoretical statistics problem "given several random graph models for our network, how should we choose one in a principled way?" We derive a new method, present theoretical background, and perform a simulation study; simulations demonstrate good performance for reasonably sized graphs.
S. Eli and M. Schweinberger. Non-asymptotic model selection for models of network data with parameter vectors of increasing dimension*. Accepted for publication in Journal of Statistical Planning and Inference