Nick Meyer is a fifth-year Mathematics graduate student at the University of Nebraska at Lincoln, advised by Alex Zupan. Nick’s current interests are primarily in the geometric and algebraic topology of 3- and 4-manifolds. In particular, he studies knot theory in dimensions 3 and 4, Heegaard splittings of 3-manifolds, and trisections of 4-manifolds. In addition, he is interested in the computational aspects of these areas, particularly computational algebraic topology and computational knot theory. A copy of his CV is available here.

Interests

- Geometric and Algebraic Topology
- Homological Algebra
- Computational Topology
- Mathematics Education and Pedagogy

Education

PhD in Mathematics (in-progress)

University of Nebraska, Lincoln

MS in Mathematics

University of Nebraska, Lincoln

BS in Mathematics with Honors

Winona State University

**Current Students: Please see Canvas for more information**

- Math101 — College Algebra
- Fall 2019, Instructor x1

- Math103 — College Algebra and Trigonometry
- Fall 2021, Convener and Instructor x1
- Spring 2022, Convener Only

- Math104 — Applied Calculus
- Summer 2021, Instructor x1

- Math107 — Calculus 2
- Fall 2018, Recitations x2
- Spring 2019, Recitations x2
- Summer 2019, Recitations x1

- Math203(J) — Contemporary Mathematics
- Spring 2020, Instructor x1
- Fall 2020, Instructor x2
- Spring 2021, Convener and Instructor x1

- Math 208 – Multivariable Calculus
- Summer 2022, Course Development
- Fall 2022, Recitations x5
- Spring 2023, Instructor x1

- $4$-Manifolds Seminar at UNL:
- November 2019: “Trisections from Morse $2$-Functions”
- September 2019: “Heegaard-Kirby Diagrams for Trisections of $4$-Manifolds”

- Groups, Semigroups, and Topology Seminar at UNL:
- September 2022: “The Casson-Gordon Signature Invariant and Sliceness Obstructions”
- April 2022: “Ends of Surfaces and Classification Theorems”
- February 2022: “A quest for residual finiteness: Geometrization and the word problem for $3$-manifolds”
- October 2021: “Maps from $3$-manifolds to $4$-manifolds that induce isomorphisms on fundamental groups (Part 2)”
- October 2020: “Heegaard splittings and Trisections 101: A crash course in manifold decompositions in dimensions three and four”
- October 2019: “Orderings on $3$-Manifold Groups”

- Graduate Students Talking Groups, Semigroups, and Topology Seminar at UNL:
- September 2022: “An Introduction Sliceness Obstructions”
- March 2021: “Pants: An Introduction to Oriented Cobordism Theory”
- September 2019: “An Alexander Polynomial for Knots in Thickened Surfaces”
- March 2019: “The Extension Problem for Topological Dynamical Systems via Monoid Actions”

- Graduate Student Seminar at UNL:
- April 2021: “Pants: An Introduction to Oriented Cobordism Theory”

- Other Seminars and Conferences:
- June 2022: “Meier-Zupan Square Links and the Andrews-Curtis Conjecture”, New Developments in Four Dimensions, University of Victoria, Victoria BC
- June 2021: “A Geometric Introduction to Heegaard Splittings and Trisections”, GOSS (Graduate Online Seminar Series), University of Georgia, Athens, GA