Papers
Gordian Distance and Complete Alexander Neighbors [arXiv] (Preprint)
(with Wolfgang Allred, Manuel Aragón, Zack Dooley, Alexander Goldman, Yucong Lei, Isaiah Martinez, Nick Meyer, Devon Peters, Scott Warrander, and Alex Zupan) Tri-plane diagrams for simple surfaces in S4 [arXiv] [journal]
(with Chris Anderson, Kenneth L. Baker, Xinghua Gao, Marc Kegel, Khanh Le, Kyle Miller, Sinem Onaran, Geoffrey Sangston, Samuel Tripp, and Adam Wood) L-space knots with tunnel number >1 by experiment Experimental Mathematics, October 2021 [arXiv] [journal]
(with Ben Clingenpeel, Zongzheng (Jason) Dai, Gabriel Diraviam, Kareem Jaber, Ziyun Liu, Teo Miklethun, Haritha N, Michael Perry, Moses Samuelson-Lynn, Eli Seamans, Krishnendu Kar, Nicole Xie, Ruiqi Zou, and Alex Zupan) Symmetric Union Presentations of Ribbon Knots (In Preparation)
Presentations
(My slides are linked when applicable.)
"Dissertation Defense: Gordian Distance and Complete Alexander Neighbors"
Groups, Semigroups, and Topology- University of Nebraska-Lincoln April 2023
"Properties of Knots from Polynomials"
Jim Albaugh Mathematics Colloquium- Online Seminar from Willamette University April 2023
Nudos de cinta (Ribbon Knots)
Matemáticas en español- University of Nebraska-Lincoln September 2022
End Spaces and Compact Closures
Groups, Semigroups, and Topology- University of Nebraska-Lincoln April 2022
Pruebas sin palabras (Proofs Without Words)
Matemáticas en español- University of Nebraska-Lincoln February 2022
Diagrams of Knotted Surfaces
Graduate Students Talking in Groups, Semigroups, and Topology- University of Nebraska-Lincoln October 2021
"Introducción a superficies anudadas" (Introduction to Knotted Surfaces)
Matemáticas en español- University of Nebraska-Lincoln October 2021
"Maps From 3-Manifolds to 4-Manifolds That Induce Isomorphism on Fundamental Group by Hongbin Sun and Zhongzi Wang (Part 1)"
Groups, Semigroups, and Topology Seminar- University of Nebraska-Lincoln October 2021
"Geometría elíptica" (Elliptic Geometry)
Matemáticas en español- University of Nebraska-Lincoln September 2021
"Using Graphs to Think About the Jones Polynomial"
Graduate Student Seminar- University of Nebraska-Lincoln (Online) April 2021
"A Topological Journey Through Spaces and Knots"
Math RaMP- Spelman College (Online) March 2021
"Knot Groups and Colorability"
Groups, Semigroups, and Topology Seminar- University of Nebraska-Lincoln (Online) March 2021
"Introduccón a la característica de Euler" (Introduction to the Euler Characteristic)
Matemáticas en español- University of Nebraska-Lincoln (Online) February 2021
"Alexander Polynomials and Gordian Distance"
Groups, Semigroups, and Topology- University of Nebraska-Lincoln (Online) October 2020
"Grafos montes en patrones de pliegues origami" (Mountain Graphs in Origami Crease Patterns)
Matemáticas en español- University of Nebraska-Lincoln (Online) September 2020
"Alexander Polynomials and Gordian Distance"
Graduate Students Talking in Groups, Semigroups, and Topology- University of Nebraska-Lincoln (Online) September 2020
"A Journey Through Hyperbolic Space"
Jim Albaugh Mathematics Colloquium- Online Seminar from Willamette University April 2020
"Introducción a la geometría hiperbólica" (Introduction to Hyperbolic Geometry)
Matemáticas en español- University of Nebraska-Lincoln (Online) February 2020
"To Knot or Not to Knot"
Graduate Students Talking in Groups, Semigroups, and Topology- University of Nebraska-Lincoln February 2020
"Efficient Computation of the Kauffman Bracket"
Groups, Semigroups, and Topology- University of Nebraska-Lincoln February 2020
"Introduction to Foliations"
Groups, Semigroups, and Topology- University of Nebraska-Lincoln November 2019
"Cruces múltiples en diagramas de nudos" (Multi-crossings in Knot Diagrams)
Matemáticas en español- University of Nebraska-Lincoln October 2019
"Conveniences of Alternating Diagrams"
Graduate Students Talking in Groups, Semigroups, and Topology- University of Nebraska-Lincoln October 2019
"La magia de flexágonos" (The Magic of Flexagons)
Matemáticas en español- University of Nebraska-Lincoln September 2019
"Trisections of 4-Manifolds"
4-Manifolds- University of Nebraska-Lincoln September 2019
"Hyperbolic Geometry and Topology"
Graduate Student Seminar- University of Nebraska-Lincoln September 2019
"Introducción a la teoría de nudos" (Introduction to Knot Theory)
Matemáticas en español- University of Nebraska-Lincoln March 2019
"Algorithms Transforming Links into Closed Braid Form"
Graduate Students Talking in Groups, Semigroups, and Topology- University of Nebraska-Lincoln March 2019
"Heegaard Splitting Stability"
Graduate Student Seminar- University of Nebraska-Lincoln December 2018
"Thin Position of Knot Diagrams and Essential Planar Surfaces in Knot Compliments"
Math Literature- University of Nebraska-Lincoln June 2018
Conferences and Travel
Joint Mathematics Meetings
Boston, MA January 2023
Max Planck Institute of Mathematics
Bonn, Germany, 2 month visit September-October 2022
Séminaire de Mathématiques Supérieures
Vancouver, Canada, Mathematical Sciences Research Institute summer school July 2022
Winter Trisections Workshop
Online workshop, December 2020
Kirby Calculus and 4-manifolds UT Austin Mini-Course
Online mini-course, July 2020
Heegaard Splittings and Dehn Surgery UT Austin Mini-Course
Online mini-course, July 2020
Topology Student's Workshop
Online conference, July 2020
Nebraska Conference for Undergraduate Women in Mathematics (invited panelist)
Lincoln, NE January/February 2020
Joint Mathematics Meetings
Denver, CO January 2020
Midwest Geometry Conference
Ames, IA September 2019
Perspectives on Dehn Surgery
Providence, RI July 2019
Georgia Topology Conference
Athens, GA May 2019
Great Plains Alliance (support role for the speaker)
Wayne, NE March 2019