Nick Meyer is an Assistant Professor of Mathematics at the University of Central Missouri. He did his PhD at the University of Nebraska — Lincoln and was 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
- Computational Topology
- Mathematics Education and Pedagogy

Education

PhD in Mathematics

University of Nebraska, Lincoln

MS in Mathematics

University of Nebraska, Lincoln

BS in Mathematics with Honors

Winona State University

- Math 1151 — Calculus 1
- Fall 2024, Instructor x1

- Math 4210/5210 — Topology 1
- Fall 2024, Instructor x1

- 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
- Fall 2023, Recitatuions x5
- Spring 2024, Recitations x4

Torus Surgery, Fibrations, Multisections, and Spun 4-Manifolds. PhD Dissertation. ProQuest

(with Román Aranda, Sarah Blackwell, Devashi Gulati, Homayun Karimi, Geunyung Kim, and Puttipong Pongtanapaisan) Pants distances of knotted surfaces in $4$-manifolds. Submitted. arXiv

(with Wolfgang Allred, Manuel Aragón, Zack Dooley, Alexander Goldman, Yucong Lei, Isaiah Martinez, Devon Peters, Scott Warrander, Ana Wright, and Alex Zupan) Tri-plane diagrams for simple surfaces in $S^4$. Journal of Knot Theory and its Ramifications. https://doi.org/10.1142/S0218216523500414

$4$-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:

- February 2024: “Heegaard splittings, diagrams, and fundamental groups of 3-manifolds (Group trisections part 1)”
- March 2023: “Group deficiency from a $4$-manifolds perspective”
- 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:

- October 2023: “Torus Surgeries on the Hopf Surface”, AMS Fall Central Sectional Meeting, Creighton University, Omaha, NE
- 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