Research

Themes

• Geometric theory of holomorphic maps, holomorphic dynamics, complex domains, CR-manifolds

• Complex vs. symplectic and G_2 geometry

• Almost complex structures, special metrics and cohomologies of complex manifolds

• Low dimensional manifolds, symplectic fillings

• Harmonic Maps and Integrable Systems

• Geometry of PDEs

• Geometric Analysis

Papers

• M. Abate, Parabolic dynamics according to Maurice Heins, Complex Anal. Synerg. 11 (2025), 4, N. 22.

• R. Alawadhi, D. Angella, A. Leonardo, Tancredi Schettini Gherardini, Constructing and Machine Learning Calabi-Yau Five-folds, Fortschr. Phys. 72 (2024), no. 2, 2300262 (arXiv:2310.15966).*

• D. Alekseevsky, G. Manno, G. Moreno: Invariant Monge-Ampère equations on contactified para-Kaehler manifolds, Ann. Global Anal. Geom., 67 (2025), no. 4, Paper No. 25, 33 pp. 

• D. Aleksveesky, G. Manno, G. Moreno: Projectively and affinely invariant PDEs on hypersurfaces, Proc. Edinburgh Math. Soc., 67 (2024), 714-739. 

• D. Alpay,  F. Colombo, A.  De Martino,  K.  Diki,  I. Sabadini, Irene, On axially rational regular functions and Schur analysis in the Clifford-Appell setting, Anal. Math. Phys. 14 (2024), no. 3, Paper No. 41, 59 pp.

• D.Angella, M. Miceli, G.Placini, Approximation results for compact Vaisman manifolds (arXiv:2408.01182).*

• D. Angella, Hermitian metrics on complex non-Kähler manifolds (arXiv:2503.16936).*

• D. Angella, A.Otiman,  A note on compatibility of special Hermitian structures, to appear in J. Symplectic Geom. (arXiv:2306.02981).

• D. Angella, N. Tardini, Cohomological properties and Hermitian metrics of complex non-Kähler manifolds (arXiv:2602.03653)*.

• L. Arosio, H. Samuelsson Kalm, E. F. Wold, Polynomial convexity of debar-flat perturbations of totally real sets, arXiv:2510.11943

• L. Arosio, H. Samuelsson Kalm, E. F. Wold, The polynomially convex embedding dimension of real manifolds of dimension, arXiv:2503.19765

• L. Arosio, F. Lárusson, Generic conservative dynamics on Stein manifolds with the volume density property,  Complex Anal. Synerg. 11 (2025), no. 4, Paper No. 28, 6 pp.

• L. Arosio, M. Fiacchi, The Julia-Wolff-Carathéodory theorem in convex finite type domains,  J. Reine Angew. Math. 827 (2025), 59–114.

• L. Arosio, F. Lárusson,  Dynamics of generic automorphisms of Stein manifolds with the density property,  Ergodic Theory Dynam. Systems 45 (2025), no. 11, 3305–3324.

• L. Arosio, M. Fiacchi,  On the approaching geodesics property,   Boll. Unione Mat. Ital. 18 (2025), no. 1, 3–16.

• L. Arosio, F. Bracci, H. Gaussier, A counterexample to parabolic dichotomies in holomorphic iteration, J. Geom. Anal., (2024) 34:153 https://doi.org/10.1007/s12220-024-01606-9

• L. Arosio, F. Bracci, M. Fiacchi, The pluricomplex Poisson kernel for convex finite type domains, Preprint 2025 (ArXiv:2509.26230)

• P. Baldi, D. Marinucci, S. Trapani, Exchangeability and irreducible rotational invariance. Proc. Amer. Math. Soc. 153 (2025), no. 2, 513–521.

• G. Barbaro, F. Pediconi, N. Tardini, Pluriclosed manifolds with parallel Bismut torsion, Preprint 2024 (arXiv:2406.07039 [math.DG])

• G. Barbaro, F. Pediconi, N. Tardini, The pluriclosed flow and the Vaisman condition, Math. Z., 310, no. 74, (2025) 

• G.  Bazzoni, M. Freibert, A. Latorre, N. Tardini, Complex Symplectic structures: deformations and cohomology, Preprint 2025  arXiv:2507.03940 [math.DG] 

• L. Beaufort, A. Fino, Locally conformal SKT almost abelian Lie algebras, Linear Alg. Appl. 684 (2024), 1-22.

• A. M. Benini, F. Bracci, The Denjoy-Wolff Theorem in simply connected domains, Trans. Amer. Math. Soc., to appear

• Biliotti, L., Windare O, A Hilbert-Mumford Criterion for polystability for actions of real reductive Lie groups, Ann. Mat. Pura Appl. 204 (1), 213-229 (2025). 

• Biliotti L., Projective representations of real semisimple Lie groups and the gradient map, Annals of Global Analysis and Geometry 67 article number 8, (26 pagine) (2025);

• Biliotti L. Minuzzo, A., Complex Structures on Product Manifolds, Complex Manifold, article number 20250015, 12 (1), (9 pagine) (2025).

• F. Bracci, A. Y. Ökten, Some open questions and conjectures about visibility and iteration in bounded convex domains in CN, Complex Analysis and its Synergies, (2025) 11:23 https://doi.org/10.1007/s40627-025-00172-2

•  F. Bracci, H. Gaussier, A. Zimmer, The geometry of domains with negatively pinched Kähler metrics, J. Differential Geom., Vol. 126, No. 3 (2024), 909-938

• F. Bracci, L. Kosi´nski, W. Zwonek, Holomorphic maps acting as Kobayashi isometries on a family of geodesics, Math. Z. (2024) 308:20 https://doi.org/10.1007/s00209-024-03569-7 

• F. Bracci, A. Y. Ökten, On the failure of the Denjoy-Wolff theorem in convex domains, Proc. Amer. Math. Soc., to appear

• F. Bracci, E. A. Gallardo-Gutierrez, Invariant subspaces for finite index shifts in Hardy spaces, Ann. Scuola Norm. Sup. di Pisa, Cl. Sci., to appear

• F. Bracci, D. Kraus, O. Roth, The strong form of the Ahlfors—Schwarz lemma at the boundary, Israel J. Math., to appear

• F. Bracci, E. A. Gallardo-Gutierrez, D. Yakubovich, Complete frequencies for Koenigs domains, J. Eur. Math. Soc., to appear

• F. Bracci, B. McKay, R. Ugolini, Hyperbolic contact symplectic lifts, Preprint 2025 (ArXiv:2509.26230)

• B. Brienza, A. Fino, Generalized Kähler manifolds via mapping tori, J. Sympl. Geom. 23 (2025), no. 2, 385--422.

• B. Brienza, A. Fino,  SKT solvable Lie algebras with codimension two nilradical,  Math. Nachr. 297 (2024), no. 12, 4705–4729.

• B. Brienza, A. Fino, G. Grantcharov, CYT and SKT manifolds with parallel Bismut torsion, Proc. Roy. Soc. Edinburgh Sect. A. 152 (2024), Issue 5,  2199 - 22041. 

• B. Brienza,   A. Fino, G. Grantcharov, M. Verbitsky, On the structure of compact strong HKT manifolds,  preprint math.DG/2505.06058, to appear in Comm. Math. Phys.

• A.Calini, T. Ivey, E.Musso “mKdV-related flows for Legendrian curves in the pseudohermitian 3-Sphere”, SIGMA 20 (2024), 02, 30 pages  (arXiv:2308.1012)

•  Casadio Tarabusi, E.; Picardello, M. A., Spherical functions and spectrum of the Laplacian on semi-homogeneous trees,  Potential Anal. 64 (2026), no. 1, Paper No. 31, 45 pp.

• A. Cattaneo, A. Tomassini,  del-delbar-lemma and p-Kähler structures on families of solvmanifolds, Math. Z. 308 (2024), no. 3, Paper No. 56, 17 pp.

• A. Cattaneo, N. Tardini. A. Tomassini, Primitive decompositions of Dolbeault harmonic forms on compact almost-Kähler manifolds, Rev. Un. Mat. Argentina 67 (2024), no. 1, 301–316.

• A. Cattaneo, A. Nannicini, A. Tomassini, Almost complex parallelizable manifolds: Kodaira dimension and special structures, Manuscripta Math. 173 (2024), no. 3-4, 1123–1145.

•  N. Cavallucci, A. Sambusetti, Convergence and collapsing of  CAT(0) -lattices, Adv. Math. 482 (2025), part A, Paper No. 110555, 49 pp.

•  N. Cavallucci, A. Sambusetti, Finiteness of CAT(0) group actions, Math. Ann. 392 (2025), no. 2, 2503–2532.

• P. Cerejeiras,  F.  Colombo,  A. Debernardi Pinos,  U.  Kähler,  I.  Sabadini,  Nuclearity and Grothendieck-Lidskii formula for quaternionic operators, Adv. Math. 442 (2024), Paper No. 109558, 51 pp.

• F. Colombo,  R. S.  Krausshar,  I. Sabadini, Octonionic monogenic and slice monogenic Hardy and Bergman spaces, Forum Math. 36 (2024), no. 4, 1031–1052.

• F. Colombo,  R. S.  Krausshar, S. Rolf , S. Pinton,  I. Sabadini, Entire monogenic functions of given proximate order and continuous homomorphisms, Mediterr. J. Math. 21 (2024), no. 2, Paper No. 44, 28 pp.

• F. Colombo,  I.  Sabadini,  D.C.  Struppa,  A.  Yger,  Analyticity and supershift with irregular sampling,  Complex Anal. Synerg. 10 (2024), no. 2, Paper No. 10, 13 pp.

• E. Di Nezza, S. Trapani, The regularity of envelopes, Ann. Sci. Éc. Norm. Supér. (4) 57 (2024), no. 5, 1347–1370.

•  E. Di Nezza, S. Trapani, A. Trusiani, Entropy for Monge-Ampère measures in the prescribed singularities setting, SIGMA Symmetry Integrability Geom. Methods Appl. 20 (2024), Paper No. 039.

• A Fedeli: Positively ep-expansive dynamical systems, Topology Appl. 347 (2024)

• M. Fernandez, A. Fino, A. Kovalev, V. Munoz, On nearly parallel G_2-manifolds: formality and associative submanifolds, Math. Res. Lett. 31 (2024), no. 5, 1391–1434.

• A. Fino,  U.  Fowdar, Some remarks on strong G2-structures with torsion, J. Math. Pures Appl. (9) 211 (2026), Paper No. 103882.

• A. Fino, N. Tardini, A. Tomassini, An integral condition involving delbar-harmonic (0,1)-forms, Bull. Sci. Math. 183 (2023), Paper No. 103243, 14 pp.

• A. Fino, G. Grantcharov, The Pluriclosed Flow for T2-Invariant  Vaisman Metrics on the Kodaira-Thurston Surface,  J. Geom. Phys. 201 (2024), Paper No. 105197, 10 pp.

• A. Fino, G. Grantcharov, J. Medel, Fibrations Over Singular K3 Surfaces and New Solutions to the Hull-Strominger System,  Adv. Math. 482 (2025), part A, Paper No. 110600, 22 pages.

• A. Fino, G. Grantcharov, G. Russo, On the $\nu$-invariant of two-step nilmanifolds with closed $G_2$-structure, preprint math.DG/2409.06870.

• A. Fino, G. Grantcharov, N. Tardini,  A.Tomassini, L. Vezzoni, $\partial\overline\partial$-lemma and Bott-Chern cohomology of twistor spaces,  Expo. Math. 44 (2026), no. 2, Paper No. 125755.

• A. Fino, G. Grantcharov, M. Verbitsky,  Special Hermitian structures obtained from hyperbolic suspensions, Math. Ann. 392 (2025), no. 1, 1099--1118.

• A. Fino, T. Leistner, A. Taghavi-Chabert,  Optical geometries, Ann. Sc. Norm. Super. Pisa Cl. Sci. 26 (2025), no. 1, 341--396.

• A. Fino, A. Mainenti, A note on p-Kähler structures   on compact quotients of Lie groups, Ann. Mat. Pura Appl.(4) (5) (2024), 2111–2124.

• A. Fino, A. Mainenti, On the existence of balanced metrics of Hodge-Riemann type, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM  120 (2026), no. 2, Paper No. 39.

• A. Fino, L. Martin-Merchan, A. Raffero, The twisted G2 equation for strong G2-structures with torsion, Pure Appl. Math. Q. 20 (2024),  2711-2767.

• A. Fino,  F. Paradiso, Hermitian Structures on six-dimensional almost nilpotent solvmanifolds, Math. Z. 310 (2025), no. 2, Paper No. 27.

• A. Fino, A. Raffero, On the existence of homogeneous solitons of gradient type for the G_2-Laplacian flow, Proc. Amer. Math. Soc.152 (2024), 2199-2204.

• S. Gal,  I.  Sabadini,  Density of complex and quaternionic polyanalytic polynomials in polyanalytic Fock spaces, Complex Anal. Oper. Theory 18 (2024), no. 1, Paper No. 8, 21 pp.

• Alexis Garcia, Affine Nomizu’s algebras and compact complex surfaces with meromorphic affine connections., Preprint, Available on HAL.fr (https://hal.science/hal-05166996v1/document)*

• Alexis Garcia, On the classification of meromorphic affine compact surfaces with algebraic dimension one, Submitted preprint (https://arxiv.org/pdf/2402.09823)

•  L. Geatti, A. Iannuzzi, A remark on the  N -invariant geometry of bounded homogeneous domains, Nagoya Math. J. 256 (2024), 928–937.

• L. Geatti, A. Iannuzzi, Geometry of Hermitian symmetric spaces under the action of a maximal unipotent group,  Internat. J. Math. 35 (2024), no. 1, Paper No. 2350102

• Riccardo Ghiloni, Caterina Stoppato, Quaternionic slice regularity beyond slice domains, Math. Z. 306 (2024), p. 1-42, doi: 10.1007/s00209-024-03434-7. (arXiv:2312.13982)*

• Riccardo Ghiloni, Caterina Stoppato, A unified notion of regularity in one hypercomplex variable, J. Geom. Phys. 202 (2024), p. 1-13, doi: 10.1016/j.geomphys.2024.105219 (arXiv:2309.02891)*

• Riccardo Ghiloni, Caterina Stoppato (2026). A unified theory of regular functions of a hypercomplex variable. BULLETIN DES SCIENCES MATHEMATIQUES, 103794, ISSN: 0007-4497, doi: 10.1016/j.bulsci.2026.103794 (arXiv:2408.01523).*

• Riccardo Ghiloni, Caterina Stoppato (2024). A new approach to regularity in one hypercomplex variable. ABSTRACTS OF PAPERS PRESENTED TO THE AMERICAN MATHEMATICAL SOCIETY, vol. 45, ISSN: 0192-5857

• Riccardo Ghiloni, Caterina Stoppato (2025). A manifold Fueter-Sce phenomenon in one hypercomplex variable. Preprint,  arXiv:2511.04771 [math.CV]

• J. O. González-Cervantes,  J. Bory-Reyes,  I.  Sabadini,  Fractional slice regular functions of a quaternionic variable,  Results Math. 79 (2024), no. 1, Paper No. 32, 21 pp.

• A.Gori, G. Sarfatti e F. Vlacci, Zero sets and Nullstellensatz type theorems for slice regular quaternionic polynomials, Linear Algebra Appl. 685 (2024), pp.162–181)

• A.Gori, G. Sarfatti e F. Vlacci, Resultants of slice regular polynomials in two quaternionic variables, Comp. Aided Geometric Design 114 (2024)

• A.Gori, G. Sarfatti e F. Vlacci, A Strong nullstellensatz theorem for slice regular polynomials in several quaternionic variables,J. Algebra 687, (2026), pp. 269-291.

•  L. Guerra, P. Salvatore, D. Sinha, Cohomology rings of extended powers and of free infinite loop spaces, Trans. Amer. Math. Soc. 377 (2024), no. 12, 8515–8561.

• J. Gutt, G. Manno, G. Moreno, R. Smiech: The moment map on the space of symplectic Monge-Ampère equations, Adv. Diff. Equations, 29, no. 7-8, (2024), 575-654. 

• R.K. Hind. C. Medori, A. Tomassini, Cohomologies of complex manifolds with symplectic (1,1)-forms, J. Geom. Anal. 33 (2023), no. 10, Paper No. 334, 23 pp.

• R.K. Hind, T. Sferruzza, A. Tomassini, Almost complex blow-ups and positive closed (1,1)-forms on 4-dimensional almost complex manifolds, Ann. Global Anal. Geom. 67 (2025), no. 2, Paper No. 10, 27 pp.

• D. Impera, M. Rimoldi,  Poincaré inequality and topological rigidity of translators and self-expanders for the mean curvature flow.  J. Geom. Anal.34 (2024), no. 9, Paper No. 263.

• D. Impera, N. M. Møller, M. Rimoldi, Rigidity and non-existence results for collapsed translators. Int. Math. Res. Not. IMRN 2025, no. 7, Paper No. rnaf076, 15 pp.

• D. Impera, M. Rimoldi, G. Veronelli, Asymptotically non-negative Ricci curvature, elliptic Kato constant and isoperimetric inequalities. Calc. Var. Partial Differential Equations 64 (2025), no. 6, Paper No. 195.

• D. Impera, M. Rimoldi, S. Pigola, G. Veronelli, Isoperimetric and Michael-Simon inequalities on manifolds with asymptotically nonnegative curvature. Submitted. Preliminary version on arXiv:2503.08279.

• Steven G. Krantz, Marco M. Peloso, Caterina Stoppato (2025). On a higher dimensional worm domain and its geometric properties. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, vol. 111, e70195, ISSN: 0024-6107, doi: 10.1112/jlms.70195 (arXiv:2406.04905)

• E. Lo Giudice, A.Tomassini,  p-symplectic and p-pluriclosed structures on solvmanifolds, Pure Appl. Math. Q. 21 (2025), no. 4, 1519–1555

• [1] G. Manno, F. Salis: Toric para-Kaehler-Einstein manifolds immersed in para-Kaehler space forms, J. Geom. Phys., 218 (2025), Paper No. 105688, 16 pp.

• G. Manno, J. Schumm, A. Vollmer: The c-projective symmetry algebras of Kaehler surfaces, J. Geom. Anal. 35 (2025), no. 3, Paper No. 75, 51 pp. 

• G. Manno, J. Schumm, A. Vollmer: Metrics admitting projective and c-projective vector fields. The diverse world of PDEs: geometry and mathematical physics, 193-214, Contemp. Math., 788, Amer. Math. Soc., (2023). 

• Marini, S., Medori, C., & Nacinovich, M., Root involutions, real forms, and diagrams. Expositiones Mathematicae (2024). ISSN 0723-0869.

• S. Marini, N. Tardini, M. Zedda, Projectively induced K\"ahler cones over regular Sasakian manifolds, Geom. Dedicata, 218, no. 4 (2024) 11 pp.

• Marino, P. Salvatore,  Non collapse of the Sinha spectral sequence for knots in R^3, arXiv:2504.16785 

•  E.Musso, A. Pampano, “Integrable flows on null curves in the anti-de-Sitter 3-space”,   Nonlinearity, vol 37 (11), 2025,doi : 10.1088/1362-6544/ad7d58 (arXiv:2311.11137.v1.)

• E.Musso, A. Pampano, “Geometric Transformations on Null curves in the Anti-de Sitter 

       3-space” SIGMA 21 (2025), 18 pages.

• E.Musso, M.Pember, L.Nicolodi, “Conformal Geometry of Quasi-Umbilical Timelike Surfaces” , The Journal of Geometric Analysis (2025), 38 pages.

• B. Nelli, G. Pipoli: Constant mean curvature hypersurfaces in   H^nxR with small planar boundary,  Revista Matematica Iberoamericana, 39, 4 (2023)

• B. Nelli, G. Pipoli, G. Russo: On constant higher order mean curvature hypersurfaces in  H^nxR,  Advanced Nonlinear Studies,  vol. 24, 1 (2024)

• M.F. Elbert, B. Nelli:   On the stability of constant higher order mean curvature hypersurfaces in a Riemannian manifold, 

   Mathematische Nachrichten  vol. 297, 11 (2024)

•    B. Nelli, J. Zhu: Uniqueness of hypersurfaces of higher order mean curvature in hyperbolic space, Communications in Analysis and Geometry,  Vol. 32,  7 (2024)

• R. F. De Lima, M.F. Elbert, B. Nelli:  On Stability and Isoperimetry of constant mean curvature spheres in  H^nxR and S^nxR,  Mathematische Zeitscrift, vol. 309, 2 (2025)

•  B. Nelli, G. Pipoli, M. P. Tassi: Special Weingarten surfaces with convex planar boundary,  Commnications in Contemporary Mathematics,  vol. 27 (9)  (2025).

•  F. F. Cruz, B. Nelli:  An extension of Liebmann's Theorem to hypersurfaces with boundary, Proceedings of the American Mathematical Society , 154,  n.3 (2026)  

• A. Del Prete, J. M. Manzano, B. Nelli:  The Jenkins-Serrin problem in 3-manifolds with a Killing vector field, to be published on The American Mathematical Journal.

•  T. Pacini, Pluri-potential theory, submersions and calibrations, J. Geom. Anal. 34 (2024), no. 6, Paper No. 157, 28 pp.

• T. Pacini,  A. Raffero, Variation formulae for the volume of coassociative submanifolds, Ann. Global Anal. Geom. 65 (2024), no. 3, Paper No. 24, 27 pp.

• Alessandro Perotti, Caterina Stoppato (2025). Which Fueter-regular functions are holomorphic?. THE JOURNAL OF GEOMETRIC ANALYSIS, vol. 35, p. 1-41, ISSN: 1050-6926, doi: 10.1007/s12220-024-01851-y

• F. Podestà,  A. Raffero,  Infinite families of homogeneous Bismut Ricci flat manifolds,  Commun. Contemp. Math. 26 (2024), no. 2, Paper No. 2250075, 17 pp.

• F. Podestà,  A. Raffero,  Three-dimensional positively curved generalized Ricci solitons with SO(3)-symmetries, Adv.  Math. 479 (2025) 11042.

• T. Qiang. A. Tomassini, Remarks on some compact symplectic solvmanifolds, Acta Math. Sin. (Engl. Ser.) 39 (2023), no. 10, 1874–1886.

• T. Sferruzza. A. Tomassini, On cohomological and formal properties of strong Kähler with torsion and astheno-Kähler metrics, Math. Z. 304 (2023), no. 4, Paper No. 55, 27 pp.

• T. Sferruzza. A. Tomassini, Bott-Chern formality and Massey products on strong Kähler with torsion and Kähler solvmanifolds, J. Geom. Anal. 34 (2024), no. 11, Paper No. 348, 42 pp.

• L. Sillari, A. Tomassini, On the spaces of (d+dc)-harmonic forms and (d+dΛ)-harmonic forms on almost Hermitian manifolds and complex surfaces, Rev. Mat. Iberoam. 40 (2024), no. 6, 2371–2398.

•  L. Sillari, A. Tomassini,, Rank of the Nijenhuis tensor on parallelizable almost complex manifolds, Internat. J. Math. 34 (2023), no. 11, Paper No. 2350063, 35 pp.

• L. Sillari, A. Tomassini, On Bott-Chern and Aeppli cohomologies of almost complex manifolds and related spaces of harmonic forms, Expo. Math. 41 (2023), no. 4, Paper No. 125517, 34 pp. 

• N. Tardini, A. Tomassini, del-bar harmonic forms on 4-dimensional almost-Hermitian manifolds, Math. Res. Lett. 30 (2023), no. 5, 1617–1637.

• A. Tomassini, X. Wang, Cohomologies of complex manifolds with symplectic (1,1)-forms, J. Symplectic Geom. 21 (2023), no. 1, 73–109.

• Z. Xu,  I. Sabadini, Generalized partial-slice monogenic functions: a synthesis of two function theories, Adv. Appl. Clifford Algebr. 34 (2024), no. 2, Paper No. 10, 14 pp.