Lino Grama

Research

I am a Brazilian mathematician specializing in Differential Geometry and currently a faculty member in the Department of Mathematics at the University of Campinas (UNICAMP). My research focuses on the geometry of homogeneous spaces and Lie groups, invariant geometric structures, homogeneous geometric flows, and applications of Lie theory in Riemannian and symplectic geometry.

Beyond research, I serve on the Advisory and Scientific Committees of the Institute of Mathematical Sciences of the Americas (IMSA) at the University of Miami: https://www.imsa.miami.edu. Since 2024, I have been a member of the Editorial Board of the Serdica Journal of Mathematics, published by the Bulgarian Academy of Sciences: https://serdica.math.bas.bg/index.php/serdica

Teaching (in Portuguese)

Segundo Semestre de 2025.

1. MA507 - Introdução à Análise Matemática (Licenciatura em Matemática) 

   • Informações 

2. MA725 - Tópicos de Geometria (Graduação)

   • Informações

3. MN023 - Geometria Analítica (Mestrado PROFMAT)

   • Informações

Publications & Preprints

Preprints/Submitted for publication

• A Gromov-Witten approach to G-equivariant birational invariants  (with L.Cavenaghi and L.Katzarkov), preprint arXiv.

• New look at Milnor spheres (with L.Cavenaghi and L.Katzarkov), preprint arXiv.

• A Geometric Characterization of the Center of a Compact Lie Algebra (with B.Grajales), preprint. 

• The complete dynamics description of positively curved metrics in the Wallach flag manifold SU(3)/T^2 (with L.Cavenaghi, R.M.Martins and D.D.Novaes), preprint arXiv.

• The Petersen--Wilhelm conjecture on principal bundles (with L.Cavenaghi and L.Sperança), preprint arXiv.

Papers published/Accepted for publication

• Bundle-type sub-riemannian structures on holonomy bundles

(with E.Correa and G.Galindo)

To appear in Transformation Groups

• A curvature approach to fatness

(with Leonardo Cavenaghi)

To appear in International Journal of Mathematics (2025).

• Geodesics on adjoint orbits of SL(n,R)

(with Brian Grajales and Rafaela F. Prado)

Commun. Contemp. Math., 27 (2024), Paper No. 2450001

• Twisted Kähler–Einstein metrics on flag varieties

(with Eder M. Correa)

Math. Nachr., 297 (2024), 4273–4287

• Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands

(with Brian Grajales)

Ann. Mat. Pura Appl. (4), 203 (2024), 2741–2768

• Generalized toric varieties, LVMB manifolds and Lie groupoids

(with Matheus Costa and Ludmil Katzarkov)

Eur. J. Math., 10 (2024), Paper No. 54, 17

• Symmetric spaces as adjoint orbits and their geometries

(with Leonardo F. Cavenaghi, Carolina Garcia and Luiz A. B. San Martin)

Rev. Mat. Complut., 37 (2024), 921–966

• Control sets of one-input linear control systems on solvable, nonnilpotent 3D Lie groups

(with Adriano Da Silva and Alejandro Robles)

Discrete Contin. Dyn. Syst., 44 (2024), 2491–2523

• On the dynamics of positively curved metrics on SU(3)/T² under the homogeneous Ricci flow

(with Leonardo F. Cavenaghi and Ricardo M. Martins)

Mat. Contemp., 60 (2024), 3–30

• Gromoll–Meyer’s actions and the geometry of (exotic) spacetimes

(with Leonardo F. Cavenaghi)

Differential Geom. Appl., 94 (2024), Paper No. 102121, 28

• The concept of Cheeger deformations on fiber bundles with compact structure group

(with Leonardo F. Cavenaghi and Llohann D. Sperança)

São Paulo J. Math. Sci., 17 (2023), 441–464

• Scalar curvatures of invariant almost Hermitian structures on flag manifolds with two and three isotropy summands

(with Ailton R. Oliveira)

J. Geom. Anal., 33 (2023), Paper No. 311, 35

• A remark about mirror symmetry of elliptic curves and generalized complex geometry

(with Leonardo Soriani)

Proyecciones, 42 (2023), 445–456

• The projected homogeneous Ricci flow and its collapses with an application to flag manifolds

(with Ricardo M. Martins, Mauro Patrão, Lucas Seco and Llohann Sperança)

Monatsh. Math., 199 (2022), 483–510

• Invariant Einstein metrics on real flag manifolds with two or three isotropy summands  

(with Brian Grajales)  

Journal of Geometry and Physics, Vol. 176, 2022, Paper No. 104494, 31 pages.  

• Lax formalism for Gelfand-Tsetlin integrable systems  

(with E. Correa)  

Bulletin des Sciences Mathématiques, Vol. 170, p. 102999, 2021.  

•  Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds  

(with A.R Oliveira)  

Symmetry Integrability and Geometry-Methods and Applications, Vol. 109, 2021.  

• Geodesic Orbit Spaces In Real Flag Manifolds  

(with C.J.C. Negreiros and B. Grajales)  

Communications in Analysis and Geometry, Vol. 28, pp. 1933–2003, 2020.  

• Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on maximal flag manifolds  

(with K. Lima)  

Differential Geometry and its Applications, Vol. 73, p. 101684, 2020.  

• Second Homotopy Group and Invariant Geometry of Flag Manifolds  

(with L. Seco)  

Results in Mathematics, Vol. 75, pp. 1–25, 2020.  

• Calabi-Yau metrics on canonical bundles of complex flag manifolds  

(with E. Correa)  

Journal of Algebra, Vol. 527, pp. 109–135, 2019.  

• A Lie theoretical construction of a Landau-Ginzburg model without projective mirrors  

(with E. Ballico, S. Barmeier, E. Gasparim, and L.A.B. San Martin)  

Manuscripta Mathematica, Vol. 158, pp. 85–101, 2019.  

• T-duality on nilmanifolds  

(with V. del Barco and L. Soriani)  

Journal of High Energy Physics, Vol. 2018, p. 153–177, 2018.  

• On generalized G_2 structures and T-duality  

(with V. del Barco)  

Journal of Geometry and Physics, Vol. 132, pp. 109–113, 2018.  

• On the stability of harmonic maps under the homogeneous Ricci flow  

(with R. do Prado)  

Complex Manifolds, Vol. 5, pp. 122–132, 2018.  

• Variational aspects of homogeneous geodesics on generalized flag manifolds and applications  

(with R. do Prado)  

Annals of Global Analysis and Geometry, pp. 451–477, 2018.  

• Some Landau-Ginzburg models viewed as rational maps  

(with E. Ballico, E. Gasparim, and L.A.B. San Martin)  

Indagationes Mathematicae, Vol. 28, pp. 615–628, 2017.  

• Invariant almost complex geometry on flag manifolds: geometric formality and Chern numbers  

(with C.J.C. Negreiros and A.R. Oliveira)  

Annali di Matematica Pura ed Applicata, Vol. 196, pp. 165–200, 2017.  

• Symplectic Lefschetz fibrations from a Lie theoretical viewpoint  

(with B. Callander, E. Gasparim, and L.A.B. San Martin)  

Proc. Langlands, TQFT and Mirror Symmetry, 2015.  

• A brief survey on the Ricci flow in homogeneous manifolds  

(with R.M. Martins)  

São Paulo Journal of Mathematical Sciences.  

• Adjoint orbits of semi-simple Lie groups and Lagrangean submanifolds  

(with E. Gasparim and L.A.B. San Martin)  

Proceedings of the Edinburgh Mathematical Society, Vol. 60, pp. 361–385, 2017.  

• Lefschetz fibration on adjoint orbits  

(with E. Gasparim and L.A.B. San Martin)  

Forum Mathematicum, Vol. 28, pp. 967–979, 2016.  

• Equi-harmonic maps and Plücker formulae for horizontal-holomorphic curves on flag manifolds  

(with C.J.C. Negreiros and L.A.B. San Martin)  

Annali di Matematica Pura ed Applicata, Vol. 193, No. 4, pp. 1089–1102, 2014.  

• Global behavior of the Ricci flow on generalized flag manifolds with two isotropy summands  

(with R.M. Martins)  

Indagationes Mathematicae, Vol. 23, pp. 95–104, 2012.  

• Equigeodesics on Generalized Flag Manifolds with Two Isotropy Summands  

(with C.J.C. Negreiros)  

Results in Mathematics, Vol. 60, pp. 405–421, 2011.  

• Variational results on flag manifolds: Harmonic maps, geodesics and Einstein metrics  

(with C.J.C. Negreiros and N.P. Silva)  

Journal of Fixed Point Theory and its Applications, Vol. 10, pp. 307–325, 2011.  

• Invariant Hermitian structures and variational aspects of a family of holomorphic curves on flag manifolds  

(with C.J.C. Negreiros and L.A.B. San Martin)  

Annals of Global Analysis and Geometry, Vol. 40, pp. 105–123, 2011.  

• Equigeodesics on flag manifolds  

(with C.J.C. Negreiros and N. Cohen)  

Houston Journal of Mathematics, Vol. 37, pp. 113–125, 2011.  

• The Ricci flow of left invariant metrics on full flag manifold SU(3)/T from a dynamical systems point of view  

(with R.M. Martins)  

Bulletin des Sciences Mathématiques, Vol. 133, No. 5, pp. 463–469, 2009.  

Students 

In progress

• Pedro Muniz (Master, advisor)

• Luiz Carazolli (Master, advisor)

Students supervised

• Giovane Neto (PhD, co-advisor)

• Matheus Silva Costa (PhD, advisor)

• Brian Grajales (PhD, advisor)

• Leonardo Soriani (PhD, advisor)

• Kennerson Nascimento de Sousa Lima (PhD, advisor)

• Ailton Ribeiro de Oliveira (PhD, co-advisor)

• Rafaela F. do Prado (PhD, advisor)

• Eder Moraes Correa (PhD, co-advisor)

• Francisco Vieira de Oliveira (PhD, advisor)

• Otávio Cunha Oliveira (Master, advisor)

• Eder Moraes Correa (Master, co-advisor)

• Leonardo Soriani (Master, co-advisor)

• Bianca Fujita Castilho (Master, advisor)

• Ada Carolina Rojas (Master, advisor)

• Leonardo Schultz (Master, advisor)

• Ana Paula Schramm Steuernagel  (Undergraduate, advisor)

• Otávio Cunha de Oliveira  (Undergraduate, advisor)

• Edson Cidral Filho  (Undergraduate, advisor)

• Diego Oliveira (Undergraduate, advisor)

• Renata Possobon (Undergraduate, advisor)

• Amanda Biscuola (Undergraduate, advisor)

• Leonardo Schultz (Undergraduate, advisor)

• Leonardo Mingrone Zan (Undergraduate, advisor)

Postdoctoral researchers mentored

• Leonardo Cavenaghi (2021 -  2025)

• Kennerson Lima (2023 - 2024)

• Ailton R. Oliveira (2020 - 2021)