39 citations · 46 across the 6 of their papers we have counts for
7 papers
Persistent Legendrian contact homology in
Maya Basu, Austin Christian, Ethan Clayton +3
This work applies the ideas of persistent homology to the problem of distinguishing Legendrian knots. We develop a persistent version of Legendrian contact homology by filtering th…
Multi-legged matter transport: a framework for locomotion on noisy landscapes
Baxi Chong, Juntao He, Daniel Soto +4
While the transport of matter by wheeled vehicles or legged robots can be guaranteed in engineered landscapes like roads or rails, locomotion prediction in complex environments lik…
Gait design for limbless obstacle aided locomotion using geometric mechanics
Baxi Chong, Tianyu Wang, Daniel Irvine +5
Limbless robots have the potential to maneuver through cluttered environments that conventional robots cannot traverse. As illustrated in their biological counterparts such as snak…
The stabilized symplectic embedding problem for polydiscs
Daniel Irvine
A stabilized polydisc is a product of a symplectic polydisc and several copies of the complex plane. This paper gives a complete characterization of symplectic embeddings of stabil…
Left-invariant Grauert tubes on SU(2)
Vaqaas Aslam, Daniel M Burns, Daniel Irvine
Let M be a real analytic Riemannian manifold. An adapted complex structure on TM is a complex structure on a neighborhood of the zero section such that the leaves of the Riemann fo…
Multi-crossing Number for Knots and the Kauffman Bracket Polynomial
Colin Adams, Orsola Capovilla-Searle, Jesse Freeman +5
A multi-crossing (or n-crossing) is a singular point in a projection at which n strands cross so that each strand bisects the crossing. We generalize the classic result of Kauffman…
Bounds on Übercrossing and Petal Numbers for Knots
Colin Adams, Orsola Capovilla-Searle, Jesse Freeman +5
An -crossing is a point in the projection of a knot where strands cross so that each strand bisects the crossing. An übercrossing projection has a single -crossing and a…