# Biography

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

# Courses Taught

• 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

# Selected Talks

• $4$-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