You can also find my publications at: arxiv, zbmath and mathscinet.
Recent work focuses on the relative Clemens program, studying relative versions of Clemens-type ideas through deformation theory, infinitesimal methods, and geometric transitions.
Preprints and submitted works
A Real Shafarevich Conjecture for Universal Covers - (joint work with C. Garay) submitted
Extending the Shafarevich conjecture to varieties defined over the reals and proving it for curves and varieties with nilpotent fundamental groups.
Infinitesimal invariants of mixed Hodge structures II: Log Clemens conjecture and log connectivity - submitted
Developing infinitesimal methods for log Clemens conjectures .
Introducing relative Clemens conjectures for half anti-canonical threefolds and its solution by A. Zahariuc.
Infinitesimal invariants of mixed Hodge structures (joint work with M. Green and P. Griffiths) - submitted
Publications
Around Homology Planes: Old and new - Serdica Mathematical Journal Vol. 51 No. 1 (2025)
Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds (joint work with M. Green and P. Griffiths) - Serdica Mathematical Journal Vol. 51 No. 1 (2025)
The nilpotent quotients of quasi-projective manifolds with proper quasi-Albanese map (joint work with Frédéric Campana) - PAMQ (2025)
On homology planes and contractible 4-manifolds (joint work with Oğuz Şavk) - Bulletin of the London Mathematical Society (2024)
Fundamental groups of partial compactifications of arrangements and homology planes - Osaka Journal of Mathematics (2025)
The fundamental group of quotients of products of some topological spaces by a finite group -- A generalization of a Theorem of Bauer-Catanese-Grunewald-Pignatelli - Épijournal de Géométrie Algébrique (2021)
The fundamental group of partial compactifications of the complement of a real line arrangement - Topology and its Applications 283 (2020)
Contact: E-mail : aaguilar.rodolfo[at]gmail.com