Comments: I'm thinking about Exotic R4's and Casson handles a lot recently. Every homeomorphism in every known exotic 4-manifold result comes from descendants of Freedman's theorem that Casson handles are homeomorphic to 2-handles. So I think it's a good idea to understand Casson handles further and try to see what that flat disk looks like. Most of my 4-manifold research so far was inspired by this fundamental problem.
Preprints Out:
With Jen Hom and Tye Lidman. Distinguishing Exotic R^4's with Heegaard Floer Homology. 2026. arxiv
Writing These Up:
Exotic R4’s as branched covers, exotic open 2-handles, and topologically slice links.
With Sierra Knavel and Tom Rodewald. Legendrian Fary-Milnor Theorems.
Thinking About These:
Kirby Diagrams for Large Exotic R4's and applications to topological slicing.
With Shunyu Wan. Exotic Stein structures on Exotic R4's
Pushing End Floer homology further: branching Casson handles and exotic planes.
Explicit Exotic R4's with compactly supported diffeomorphisms.
Foliations of Exotic R4's
With Nick Castro, Mark Hughes, Seungwon Kim, Maggie Miller, and Yikai Teng. Noncompact trisections.
Older:
S. Eli, M. Schweinberger. Non-Asymptotic Model Selection for Models of Network Data With Parameter Vectors of Increasing Dimension. Journal of Statistical Planning and Inference, Vol. 233, 2024. https://doi.org/10.1016/j.jspi.2024.106173
S. Eli, K. Josic. Book Review: Visual Differential Geometry and Forms: a Mathematical Drama in Five Acts. SIAM Review Vol 65. Iss. 4, 2023. https://doi.org/10.1137/23N975818