Efficiently escaping saddle points on manifolds. - Chris Criscitiello; Nicolas Boumal (NeurIPS, 2019)

Negative curvature obstructs acceleration for geodesically convex optimization, even with exact first-order oracles. - Christopher Criscitiello; Nicolas Boumal (CoRR, 2021)

Negative curvature obstructs acceleration for strongly geodesically convex optimization, even with exact first-order oracles. - Christopher Criscitiello; Nicolas Boumal (COLT, 2022)

Curvature and complexity: Better lower bounds for geodesically convex optimization. - Christopher Criscitiello; Nicolas Boumal (COLT, 2023)

Open Problem: Polynomial linearly-convergent method for g-convex optimization? - Christopher Criscitiello; David Martínez-Rubio; Nicolas Boumal (COLT, 2023)

Open Problem: Polynomial linearly-convergent method for geodesically convex optimization? - Christopher Criscitiello; David Martínez-Rubio; Nicolas Boumal (CoRR, 2023)

An Accelerated First-Order Method for Non-convex Optimization on Manifolds. - Christopher Criscitiello; Nicolas Boumal (Found. Comput. Math., 2023)

Synchronization on circles and spheres with nonlinear interactions. - Christopher Criscitiello; Quentin Rebjock; Andrew D. McRae; Nicolas Boumal (CoRR, 2024)

Accelerated Methods for Riemannian Min-Max Optimization Ensuring Bounded Geometric Penalties. - David Martínez-Rubio; Christophe Roux; Christopher Criscitiello; Sebastian Pokutta (AISTATS, 2025)

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms. - Christopher Criscitiello; Jungbin Kim (CoRR, 2025)

Sensor network localization has a benign landscape after low-dimensional relaxation. - Christopher Criscitiello; Andrew D. McRae; Quentin Rebjock; Nicolas Boumal (CoRR, 2025)