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.
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 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
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.
(I removed some typos and corrected some small mistakes, so this is not the exact version of my thesis that was submitted to UCLA)
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.