70 citations · 316 across the 56 of their papers we have counts for
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math.AT2025
Precision-Graded Cohomology and Arithmetic Persistence for Network Sheaves
Robert Ghrist, Cassie Ding
Persistent homology tracks topological features across geometric scales, encoding birth and death of cycles as barcodes. We develop a complementary theory where the filtration para…
math.AT2025
Obstructions to Reality: Torsors & Visual Paradox
Robert Ghrist, Zoe Cooperband
Visual paradoxes like the Penrose staircase present a fundamental tension: locally coherent geometric relationships that cannot be realized globally. Inspired by Penrose's observat…
math.AT2025
Unified Origami Kinematics via Cosheaf Homology
Zoe Cooperband, Robert Ghrist
We establish a novel local-global framework for analyzing rigid origami mechanics through cosheaf homology, proving the equivalence of truss and hinge constraint systems via an ind…