Preface: Many of these works deadname me. Just ignore it. Curious?

Papers

Published

Paramotopy: Parameter homotopies in parallel. A version of this paper appeared in ICMS 2018
Arc length based maximal lyapunov functions and domains of attraction estimation for polynomial nonlinear systems. A version of this paper appeared in Automatica, Volume 90, April 2018
Bertini_real: numerical decomposition of real algebraic curves and surfaces. A version of this paper has been accepted to ACM ToMS in 2017.
Decomposing solution sets of polynomial systems using derivatives. A version appeared as an ICMS 2016 extended abstract.
Validating the completeness of the real solution set of a system of polynomial equations. A version appeared in ISSAC 2016.
The complete solution of Alt-Burmester synthesis problems for four-bar linkages. A version appears in J. Mechanisms Robots 2016.
Workspace multiplicity and Fault tolerance of cooperating robots. A version appears as a MACIS 2015 paper.
Numerical Local Irreducible Decomposition. A version appears as a MACIS 2015 extended abstract.
Bertini_real: software for one- and two-dimensional real algebraic sets. A version appears as an ICMS 2014 Extended Abstract
On computing a cell decomposition of a real surface containing infinitely many singularities. A version appears as an ICMS Extended Abstract
Reduced systems for Intrinsic Localized Modes on an infinite oscillator array. A version appears in IEICE NOLTA 2013.
Intrinsic localized modes in two-dimensional vibrations of crystalline pillars and their application for sensing. A version appears in JAP 2012.
Simplified models for Intrinsic Localized Mode dynamics. A version appears in NOLTA 2012 Proceedings.
Intrinsic localized modes in two-dimensional vibrations of crystalline pillars. A version appears in NOLTA 2011 Proceedings.

Undergraduate research

Matplotlib and Bertini_real. Nicolle Ho, ND '18
3D-Printable algebraic Mobius strips. Travis Wert, ND '17
Preventing substitution of symbolic expressions in Matlab. Sam Cavender, ND '18
Bertini_real documentation, how-to videos, and 3D printing. Chris Lembo, ND '19
Rendering video of surface decompositions in Blender. Alec Sievern, ND '17.

Presentations

Invited

These are large in bitsize, in general. Not optimized for web.

Posters

These are large in bitsize, in general. Not optimized for web.

Tutorials

Python for Data Science, October 2017

  • I have some slides here, and a GitHub repo here

Consists of a quick show of ways of interacting with Python, a Jupyter notebook doing stuff with the BoardGameGeek.com Keggle dataset, and a little language tutorial.

Git, using LaTeX, Fall 2018 @ ICERM