[pigazzini]

Alexander Pigazzini

Matematico Ricercatore, Mathematical and Physical Science Foundation, Denmark

Email: pigazzini AT topositus.com

I currently work in Differential and Riemannian Geometry, Geometric Analysis and Spectral Geometry, Minimal Submanifolds and Free Boundary Minimal Surfaces (FBMS / FBMA), Einstein Manifolds and Warped Products, Metric Connections with Skew Torsion

Available papers (12):

• A. Pigazzini - M. Toda (preprint)
  The $r^\sharp$ invariant as a discriminant for the survival of the H-flux under T-duality on product manifolds (2026)
• A. Pigazzini (preprint)
  Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in $\mathbb{H}^3$ (2026)
• A. Pigazzini (preprint)
  Robin nullity in mode $|k|=1$ and asymptotic radius of the critical spherical catenoid (2026)
• A. Pigazzini (preprint)
  A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere (2026)
• A. Pigazzini - M. Toda (Accepted Paper: The Journal of Geometric Analysis (Springer))
  Local Topological Constraints on Berry Curvature in Spin--Orbit Coupled BECs (2026)
• A. Pigazzini (preprint)
  Yau's conjecture for the stacked Clifford tori of Wiygul (2026)
• A. Pigazzini - M. Toda (Preprint)
  Cohomological Calibration and Curvature Constraints on Product Manifolds: A Topological Lower Bound (2025)
• A. Pigazzini - L. Lussardi - M. Toda - A. DeBenedictis (Contemporary Mathematics series (AMS), Book: Recent Advances in Differential Geometry and Related Areas)
  Einstein warped-product manifolds and the screened Poisson equation (2025)
• A. Mustafa - C. Ozel - A. Pigazzini - R. Kaur - G. Shanker (Adv. Pure Appl. Math.)
  First Chen Inequality for General Warped Product Submanifolds of a Riemannian Space Form and Applications (2023)
• A. Mustafa - C. Ozel - P. Linker - M. Sati - A. Pigazzini (Hacet. J. Math. Stat.)
  A general inequality for warped product CR-submanifolds of Kähler manifolds (2023)
• A. Pigazzini - C. Ozel - S. Jafari - R. Pincak - A. DeBenedictis (Journal of Geometric Mechanics (AIMS))
  A family of special case sequential warped-product manifolds (2023)
• M. Toda - A. Pigazzini (J. Geom. Symmetry Phys. 46: 51-58)
  A Note on the Class of Surfaces with Constant Skew Curvatures. (2017)