J. L. Doob Research Assistant Professor

Department of Mathematics

University of Illinois at Urbana-Champaign

I did my PhD at UCLA under the supervision of Matthias Aschenbrenner,

and then did a postdoc at the Hebrew University of Jerusalem under the supervision of Ehud Hrushovski.

My CV

Research Interests: Model Theory, Tame Geometry

Email: erikw at illinois dot edu

Office: 127 Altgeld

First order expansions of the real line:

Interpreting the Monadic Second Order Theory of One Successor in Expansions of the Real Line, with Philipp Hieronymi, Israel Journal of Mathematics, accepted.

How to Avoid a Compact Set, with Antongiulio Fornasiero and Philipp Hieronymi, Advances in Mathematics, Volume 317 / Sept. 2017 / pp. 758-785.

Wild Theories with O-minimal Open Core, with Philipp Hieronymi and Travis Nell, Annals of Pure and Applied Logic, Volume 169 / Issue 2 / Feb. 2018 / pp. 146-163.

On Continuous Functions Definable in Expansions of the Ordered Real Additive Group, with Philipp Hieronymi

Dp-minimal structures:

Dp-minimal Valued Fields, with Franziska Jahnke and Pierre Simon,The Journal of Symbolic Logic / Volume 82 / Issue 01 / March 2017 / pp. 151-165.

Tame Topology over Dp-minimal Structures, with Pierre Simon, Notre Dame Journal of Formal Logic, accepted.

A Family of Dp-minimal Expansions of the Additive Group of Integers, with Minh Chieu Tran

O-minimal Structures:

The Marker-Steinhorn Theorem via definable linear orders, Notre Dame Journal of Formal Logic, accepted.

Hausdorff dimension of metric spaces definable in o-minimal expansions of the real field, with Jana Maříková, Fundamenta Mathematicae, accepted.

My thesis

Other:

Isometric Embeddings of Snowflakes into Finite-Dimensional Banach Spaces, with Enrico Le Donne and Tapio Rajala, Proceedings of the AMS, Volume 16 / Number 2 / 2018 / pp. 685-693.