Roland Walker

Roland Walker

PhD Candidate
Department of Mathematics, Statistics, and Computer Science
University of Illinois at Chicago

Contact Information

322 SEO (M/C 249)
851 S Morgan St
Chicago, IL 60607-7045

Office: 710 SEO
Phone: (312) 413-8323

Research Interests

My research interests lie in logic and model theory. I have been studying applications of the Shelah 2-rank in the context of stable theories and applications of VC-dimension in the context of NIP theories. I have also been working to develop more robust understanding of and applications for distality. To this end, I introduced and developed distality rank as a property of first-order theories. My most recent research shows that in the stable context, distality rank has geometric implications. I am working to determine whether or not these implications extend to NIP theories. Distality rank is also relevant in the context of IP theories, where I am working to develop a more homogeneous version of the hypergraph regularity lemma for n-dependent structures introduced by Artem Chernikov and Henry Towsner. My advisor is David Marker.


Invited Talks

Expository Talks

UIC Model Theory seminar

UIC Louise Hay Logic seminar