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.
The map is a bit glitchy at the moment. I hope to have this resolved soon.
Research Interests
- Tame expansions of the group of integers and other stable groups; connections between the model theory of such expansions and additive combinatorics.
- Model theory of homogeneous structures, especially homogeneous metric spaces and metrically homogeneous graphs.
- General classification and dividing lines among unstable theories, especially unstable theories without the strict order property.
Papers
- G. Conant, An axiomatic approach to free amalgamation, to appear in the Journal of Symbolic Logic (arXiv)
- G. Conant, Forking and dividing in Henson graphs, to appear in the Notre Dame Journal of Formal Logic (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)
Preprints
- Geometric growth in stable expansions of (Z,+,0), arXiv 1704.00105
- Definable sets containing productsets in expansions of groups (with U. Andrews and I. Goldbring), arXiv 1701.07791
- Stability and sparsity in sets of natural numbers, arXiv 1701.01387
- On the complexity of finite subgraphs of the curve graph (with E. Bering and J. Gaster), arXiv 1609.02548
- There are no intermediate structures between the group of integers and Presburger arithmetic, arXiv 1603.00454
- Stable groups and expansions of (Z,+,0) (with A. Pillay), arXiv 1601.05692
- Extending partial isometries of generalized metric spaces, arXiv 1509.04950
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
- Group reducts of Presburger arithmetic - Graduate Student Conference in Logic (plenary address)
University of Notre Dame, April 9, 2016
- Unstable theories without the strict order property - ASL Winter Meeting
Joint Mathematics Meetings, Seattle, WA, January 8, 2016
- Model theory of generalized Urysohn spaces - BIRS Workshop on Homogeneous Structures
Banff International Research Station, November 12, 2015
- An axiomatic approach to free amalgamation - BIRS Neostability Theory Workshop
Casa Matemática Oaxaca, July 15, 2015
- Extending Isometries in Generalized Metric Spaces - BLAST 2015
University of North Texas, June 9, 2015 — correction
- Model Theory and Combinatorics of Homogeneous Metric Spaces - ASL North American Annual Meeting
Urbana, IL, March 25, 2015
- Model Theory of the Urysohn Sphere, part 1 - Logic Seminar
University of Illinois at Chicago, September 24, 2013
- Model Theory and Forking Independence - Graduate Student Colloquium
University of Illinois at Chicago, April 22, 2013
- Forking and Dividing in Random Graphs - Graduate Student Conference in Logic
University of Notre Dame, April 29, 2012
Expository Articles