Mathematics Research Papers
A Sequence of Degree One Vassiliev Invariants for Virtual Knots
J. Knot Theor. Ramif., Vol. 19, No. 4, 2010.
Semiquandles and Flat Virtual Knots
joint with S. Nelson.
Pacific J. Math., Volume 248, No. 1, 2010.
Classical and Virtual Pseudodiagram Theory and New Bounds on Unknotting Numbers and Genus
joint with N. MacNaughton, S. Narayan, O. Pechenik, and J. Townsend.
J. Knot Theor. Ramif., Vol. 20, No. 4, 2011.
A Midsummer Knot's Dream
joint with N. MacNaughton, S. Narayan, O. Pechenik, R. Silversmith, and J. Townsend.
College Math. J., Vol. 42, No. 2, 2011.
The Link Smoothing Game
joint with I. Johnson.
AKCE Int. J. Graphs Comb., Vol. 9, No. 2, 2012.
Polynomial Knot and Link Invariants from the Virtual Biquandle
joint with A. Crans and S. Nelson.
J. Knot Theor. Ramif., Vol. 22, No. 4, 2013.
The Theory of Pseudoknots
joint with R. Hoberg, S. Jablan, L. Johnson, E. Minten, and L. Radovic. J. Knot Theor. Ramif., Vol. 22, No. 4, 2013.
joint with L. Kauffman.
Amer. Math. Monthly, Vol. 121, No. 5, 2014.
On the Coloring of Pseudoknots
joint with S. Jablan. J. Knot Theor. Ramif., Vol. 23, No. 12, 2014.
Minimal Diagrams of Free Knots
joint with T. Boothby and A. Leaf.
J. Knot Theor. Ramif., Vol. 23, No. 6, 2014.
Isotopy and Homotopy Invariants of Classical and Virtual Pseudoknots
joint with F. Dorais, S. Jablan, and I. Johnson.
Osaka J. Math., Vol. 52, No. 2, 2015.
The Signed Weighted Resolution Set is Not a Complete Pseudoknot Invariant
joint with S. Jablan and I. Johnson.
J. Knot Theor. Ramif., Vol. 25, No. 9, 2016.
Tangle Insertion Invariants for Pseudoknots, Singular Knots, and Rigid Vertex Spatial Graphs
joint with L. Kauffman.
in Knot Theoretic Structures & Spatial Graphs, AMS, Providence, RI, 2017.
Region Unknotting Game
joint with S. Brown, F. Cabrera, R. Evans, G. Gibbs, and J. Kreinbihl. Math. Mag., Vol. 90, No. 5, 2017.
Knot Fertility and Lineage
joint with J. Cantarella, E. Magness, O. O'Keefe, K. Perez, E. Rawdon, and B. Zimmer.
J. Knot Theor. Ramif., Vol. 26, No. 13, 2017.
Knots Related by Knotoids
joint with C. Adams, K. Kearney, and N. Scoville.
Amer. Math. Monthly, Vol. 126, No. 6, 2019.
The Region Smoothing Swap Game
joint with I. Johnson and J. Ostroff.
To appear in Osaka J. Math.
The KnotLink Game
joint with H. Adams and S. Stoll.
PUMP J. Undergrad. Research, Vol. 3, 2020.
Virtual Mosaic Knot Theory
joint with S. Ganzell.
J. Knot Theor. Ramif., Vol. 29, No. 14, 2020.
Petal Projections, Knot Colorings & Determinants
joint with R. Truax.
Reducing Math Anxiety: Findings from Incorporating Service Learning into a Quantitative Reasoning Course at Seattle University
joint with K. Lee.
Numeracy, Vol. 4, No. 2, 2011.
Service Learning in a Quantitative Reasoning Course
joint with J. Anderson.
Peer Review (a publication of the AAC&U), Vol. 16, No. 3, 2014.
Improving Student Success in Calculus at Seattle University
joint with J. Carter, D. Helliwell, M. Principe, and M. Sloughter.
PRIMUS, Vol. 26, No. 2, 2015.
Addressing Negative Math Attitudes with Service-Learning
joint with J. M. Sloughter, J. Anderson, and E. Bahuaud.
PRIMUS, Vol. 26, No. 8, 2016.
Successfully Mentoring Undergraduates in Research: A How To Guide for Mathematicians
joint with M. Dorff and L. Pudwell.
PRIMUS, Vol. 27, No. 3, 2017.
Veronika Irvine: The Art and Mathematics of Making Bobbin Lace
Math. Mag., Vol. 91, No. 4, 2018.
Robert Bosch: From Dominos To Traveling Salespeople
Math. Mag., Vol. 92, No. 4, 2019.
Henry Segerman: Visualizing Topology
Math. Mag., Vol. 93, No. 4, 2020.
John Edmark: Art in Motion
Math. Mag., Vol. 94, No. 1, 2021
Articles, Blog Posts, Etc.
A Knot Game with not KNerds
with M. Cohen.
Math Horizons, Vol. 20, No. 2, 2012.
Service-Learning in a Quantitative Reasoning Course
with J. Anderson.
Peer Review: A Journal of the Association of American Colleges & Universities, 2014.
Visions of Mathematics
Introduction to artist's book Dreams of Pythagorus by Michael Schultheis, 2014.
"I am so glad you made that mistake!"
AMS Blog On Teaching and Learning Mathematics, May 1, 2017.
The Power of Bravery
MAA Focus, June/July 2018.
We may be mathematicians, but first and foremost, we're humans.
AMS Math Mamas Blog, October 4, 2019.
Teaching Using Living Proof
with M. Pons.
AMS Living Proof Blog, June 5, 2020.
KNOTRIS: A Game Inspired by Knot Theory
with A. Ionescu, B. Mathews, I. Ortega, and K. Tesfaye.
Math Horizons, Vol. 28, No. 2, 2021.
How did it go? Reflections on teaching college math during a pandemic
with M. Pons.
AMS Living Proof Blog, January 4, 2021