Research & Papers
A sphere by any other name
How alternative bilinear forms change the geometry of generalized spheres.
- When
- Aug 2026 – Expected Dec 2026
- Venue
- Lab of Geometry at Michigan LoG(M)
- Investigating how alternative bilinear forms change the geometry of generalized spheres, with emphasis on symmetries, embedded circles, positivity, and cyclic order.
- Constructing and comparing low-dimensional examples using matrix representations and linear-algebraic analysis to identify invariant and form-dependent geometric properties.
- Developing computational visualizations and geometric diagrams that make abstract boundary-order structures interpretable and support further theoretical analysis.
Tech stack
- Geometry
- Linear Algebra
- Visualization