Micah Chrisman
Mathematics · The Ohio State University
Publications
42
Citations
82
Est. group size
—
Recurring co-author estimate
Active years
18
Publishing since 2009
Micah Chrisman works in low-dimensional topology, a branch of mathematics that studies knots, links, and surfaces in three- and four-dimensional space. Much of the research focuses on 'virtual knots' (a generalization of ordinary knots) and on developing algebraic and combinatorial tools—such as the Gordon-Litherland pairing, Khovanov homology, and Lie superalgebra invariants—to measure properties like genus (a surface complexity measure) and concordance (whether knots are equivalent through four-dimensional cobordisms). This work sits within the broader mathematical fields of geometric/algebraic topology and combinatorics.
Publication output has been steady but variable over the last decade, with recurring peaks (e.g., 2021, 2025) and occasional slower years, averaging about 2-3 papers per year recently.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- The Gordon–Litherland form and its many applications
Journal of Knot Theory and Its Ramifications · 2026
- The Gordon-Litherland pairing and its many applications
arXiv (Cornell University) · 2025
- Hyperbolic knots and torsion in Khovanov homology
Contemporary mathematics - American Mathematical Society · 2025
- $U_q(\mathfrak{gl}(m|n))$ bounds on the minimal genus of virtual links
arXiv (Cornell University) · 2025
- $U_q(\mathfrak{gl}(m|n))$ bounds on the minimal genus of virtual links
arXiv (Cornell University) · 2025
- Lie superalgebra invariants and almost classical knots
arXiv (Cornell University) · 2024
- A geometric foundation of virtual knot theory
arXiv (Cornell University) · 2023
- Characterization and Further Applications of the Bar-Natan Zh-Construction
arXiv (Cornell University) · 2023
- Algebraic concordance order of almost classical knots
Journal of Knot Theory and Its Ramifications · 2023
- Milnor’s concordance invariants for knots onsurfaces
Algebraic & Geometric Topology · 2022
- The Gordon–Litherland pairing for links in thickened surfaces
International Journal of Mathematics · 2022
- Hyperbolic Knots and Torsion in Khovanov Homology
arXiv (Cornell University) · 2022
- Virtual concordance and the generalized Alexander polynomial
Journal of Knot Theory and Its Ramifications · 2021
- Algebraic concordance and almost classical knots
arXiv (Cornell University) · 2021
- Algebraic concordance order of almost classical knots
arXiv (Cornell University) · 2021
- arXiv (Cornell University)×11
- Journal of Knot Theory and Its Ramifications×6
- Contemporary mathematics - American Mathematical Society×2
- Experimental Mathematics×1
- Indiana University Mathematics Journal×1
- Charles Livingston
Mathematics · Indiana University
- Michael W. Davis
Mathematics · The Ohio State University
- Dylan P. Thurston
Mathematics · Indiana University
- Sergei Chmutov
Mathematics · The Ohio State University
- Jingyin Huang
Mathematics · The Ohio State University
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 19, 2026.
Claim or correct this profile