A No-Go Theorem for One-Layer Feedforward Networks. - Chad Giusti; Vladimir Itskov (Neural Comput., 2014)

Two's company, three (or more) is a simplex - Algebraic-topological tools for understanding higher-order structure in neural data. - Chad Giusti; Robert Ghrist; Danielle S. Bassett (J. Comput. Neurosci., 2016)

Classification of weighted networks through mesoscale homological features. - Ann Sizemore; Chad Giusti; Danielle S. Bassett (J. Complex Networks, 2017)

Cliques and cavities in the human connectome. - Ann Sizemore; Chad Giusti; Ari E. Kahn; Jean M. Vettel; Richard F. Betzel; Danielle S. Bassett (J. Comput. Neurosci., 2018)

On Open and Closed Convex Codes. - Joshua Cruz; Chad Giusti; Vladimir Itskov; Bill Kronholm (Discret. Comput. Geom., 2019)

U-match factorization: sparse homological algebra, lazy cycle representatives, and dualities in persistent (co)homology. - Haibin Hang; Chad Giusti; Lori Ziegelmeier; Gregory Henselman-Petrusek (CoRR, 2021)

Minimal Cycle Representatives in Persistent Homology Using Linear Programming: An Empirical Study With User's Guide. - Lu Li; Connor Thompson; Gregory Henselman-Petrusek; Chad Giusti; Lori Ziegelmeier (Frontiers Artif. Intell., 2021)

Persistent Extension and Analogous Bars: Data-Induced Relations Between Persistence Barcodes. - Hee Rhang Yoon; Robert Ghrist; Chad Giusti (CoRR, 2022)

Persistent extensions and analogous bars: data-induced relations between persistence barcodes. - Hee Rhang Yoon; Robert Ghrist; Chad Giusti (J. Appl. Comput. Topol., 2023)

Signatures, Lipschitz-Free Spaces, and Paths of Persistence Diagrams. - Chad Giusti; Darrick Lee (SIAM J. Appl. Algebra Geom., 2023)

A topological approach to mapping space signatures. - Chad Giusti; Darrick Lee; Vidit Nanda; Harald Oberhauser (Adv. Appl. Math., 2025)