Research

My research interests are in topology and geometry. More specifically, I study low-dimensional topology, knot theory, Floer homological theories, contact topology, and topological data analysis/visualization. My research is currently partially supported by the University of Iowa NSF RTG grant.

Preprints and papers to appear:

B. Cooper, R. DeYeso III. Holonomicity from the Heegaard Floer perspective.

H. Bodish, R. DeYeso III. Reducible surgeries and Almost L-space knots.

H. Bodish, R. DeYeso III. Obstructing reducible surgeries: slice genus and thickness bounds. Accepted pending revision in Michigan Mathematical Journal. Available at arXiv:2209.01672.

R. DeYeso III. Thin knots and the cabling conjecture. Accepted pending revision in Algebraic and Geometric Topology. Available at arXiv:2112.08047.

R. DeYeso III. Integral Klein bottle surgeries and Heegaard Floer homology. Submitted to Quantum Topology. Available at arXiv:2009.10197.

Publications:

J. DeVito, R. DeYeso III. The classification of SU(2)^2 biquotients of rank 3 Lie groups. Topology Appl., 198, (2016), 86-100.

J. Barrow, R. DeYeso III, L. Kong, F. Petronella. Positive radially symmetric solutions for a system of quasilinear biharmonic equations in the plane. Electron. J. Differential Equations, No. 30, (2015), 1-11.

J. DeVito, R. DeYeso III, M. Ruddy, P. Wesner. The classification and curvature of biquotients of the form Sp(3)//Sp(1)^2. Ann. Global Anal. Geom., 46, (2014), no. 4, 389-407.