Gabriel Conant

Lumpkins Postdoctoral Fellow
118 Hayes-Healy
Department of Mathematics
University of Notre Dame

gconant@nd.edu

Check out a map of the model theory universe.

Curriculum Vitae

Research Interests

  • Stability and NIP in expansions of groups; connections to additive combinatorics, especially arithmetic regularity and sumset configurations.
  • Model theory of homogeneous and generic structures, especially metric spaces and graphs.

Preprints

Papers

  • E. Bering, G. Conant, & J. Gaster, On the complexity of finite subgraphs of the curve graph, to appear in Osaka Journal of Mathematics (arXiv)
  • G. Conant & A. Pillay, Stable groups and expansions of (Z,+,0), to appear in Fundamenta Mathematicae (arXiv)
  • G. Conant, There are no intermediate structures between the group of integers and Presburger arithmetic, J. Symbolic Logic 83 (2018), no. 1, 187-207 (arXiv)
  • G. Conant, Forking and dividing in Henson graphs, Notre Dame J. Formal Logic 58 (2017), no. 4, 555-566 (arXiv)
  • G. Conant, An axiomatic approach to free amalgamation, J. Symbolic Logic 82 (2017), no. 2, 648-671 (arXiv)
  • G. Conant, Neostability in countable homogeneous metric spaces, Ann. Pure Appl. Logic 168 (2017), no. 7, 1442-1471 (arXiv)
  • G. Conant, Distance structures for generalized metric spaces, Ann. Pure Appl. Logic 168 (2017), no. 3, 622-650 (arXiv)
  • G. Conant, A remark on strict independence relations, Arch. Math. Logic 55 (2016), no. 3-4, 535-544 (arXiv)
  • G. Conant & C. Terry, Model theoretic properties of the Urysohn sphere, Ann. Pure Appl. Logic 167 (2016), no. 1, 49-72 (arXiv)

Research Notes

Ph.D. Thesis

Model Theory and Combinatorics of Homogeneous Metric Spaces (pdf, errata)
University of Illinois at Chicago, 2015
Advisor: Dave Marker

Selected Slide Talks

Expository Articles