Megan Fairchild

collaborators

3 papers

math.AT2025

Topological Data Analysis of Mortality Patterns During the COVID-19 Pandemic

Megan Fairchild, Matthew Lemoine

Topological Data Analysis is a relatively new field of study that uses topological invariants to study the shape of data. We analyze a dataset provided by the Centers for Disease C…

math.GT2024

Whitehead Doubles and Non-Orientable Surfaces

Megan Fairchild

Whitehead doubles provide a plethora of examples of knots that are topologically slice but not smoothly slice. We discuss the problem of the Whitehead double of the Figure 8 knot a…

math.GT2024

Non-orientable 4-genus of torus knots

Megan Fairchild, Hailey Jay Garcia, Jake Murphy +1

The non-orientable 4-genus of a knot $K$ in $S^{3}$ , denoted $I^_{4}^{3} (K)$ , measures the minimum genus of a non-orientable surface in $B^{4}$ bounded by $K$ . We compute bounds for the…