## Research

Currently I am studying monopole Floer homology, contact geometry, and exotic R4's

My research interests are broad, and include topology, geometry, and analysis. In particular,

Topology and geometry of 4-manifolds.

Smooth invariants and exotic smooth structures.

Concentration of measure and convex geometry.

Classical differential geometry.

The decimal expansion of Sqrt(2).

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