Andrew (Andy) Sageman-Furnas
Education
PhD Mathematical Sciences University of Göttingen 2017
MScRes Textiles University of Leeds 2014
MSc Advanced Textiles and Performance Clothing University of Leeds 2012
BSc Mathematics Brown University 2011
Area(s) of Expertise
Global surface theory, isometries and isometric deformations of surfaces, discrete differential geometry/topology, discrete integrable systems, mechanics of textiles/polymer networks, computational fabrication, Chebyshev nets, Bonnet pairs
Publications
- Bonnet pairs, isothermic surfaces and the retraction form , arXiv (Cornell University) (2025)
- Compact Bonnet pairs: isometric tori with the same curvatures , Publications mathématiques de l IHÉS (2025)
- Isothermic Tori With One Family of Planar Curvature Lines and Area Constrained Hyperbolic Elastica , International Mathematics Research Notices (2025)
- Skew parallelogram nets and universal factorization , Journal of Physics A Mathematical and Theoretical (2025)
- Curvature in Biological Systems: Its Quantification, Emergence, and Implications across the Scales , Advanced Materials (2022)
- Chebyshev nets from commuting PolyVector fields , ACM Transactions on Graphics (2019)
- Topology Counts: Force Distributions in Circular Spring Networks , Physical Review Letters (2018)
- Topology determines force distributions in one-dimensional random spring networks , Physical review. E (2018)
- Form finding in elastic gridshells , Proceedings of the National Academy of Sciences (2017)
- A $$2\times 2$$ 2 × 2 Lax Representation, Associated Family, and Bäcklund Transformation for Circular K-Nets , Discrete & Computational Geometry (2016)