Andrew Manion

Andrew Manion is an Assistant Professor of Mathematics at North Carolina State University (NC State), affiliated with the Department of Mathematics within the College of Sciences. He is based in SAS Hall 3114 and can be reached via ajmanion@ncsu.edu. His research focuses on low-dimensional topology, representation theory, Heegaard Floer homology, and categorification, with active participation in the Algebra and Combinatorics Research Group and the Topology, Geometry, and Mathematical Physics Research Group.

Manion earned his PhD in Mathematics from Princeton University in 2015. His work bridges algebraic structures like Khovanov arc algebras with topological invariants, often involving categorification techniques and connections to mathematical physics. Recent research emphasizes decategorification processes in Heegaard Floer theory, interactions between bordered Floer homology and higher representation theory, and geometric constructions such as the amplituhedron.

His publications from 2024 highlight advancements in spectral actions, hypertoric geometry, and the interplay between algebraic categorification and topological field theories. Earlier work includes foundational studies on Kauffman-states algebras and applications of strands algebras to equivariant cohomology.

No scientific awards are explicitly listed, though his contributions to knot theory and categorification are recognized in the field. Advising and grant details are not provided in the source texts. He collaborates within interdisciplinary research groups at NC State, advancing topics at the intersection of algebraic topology and geometric representation theory.