Research
My research program investigates the geometry of moduli spaces of sheaves on projective varieties, with an emphasis on their global structure, including the description of irreducible components, their geometry, and decomposition phenomena.
A central part of my work consists of constructing and identifying new irreducible components of moduli spaces, as well as understanding their geometric properties and associated invariants, exploring interactions with Lefschetz-type properties and related algebraic structures.
More recently, I have been extending this line of research to the setting of algebraic supergeometry, studying vector bundles and moduli spaces on supervarieties, with the aim of establishing geometric foundations and new structural correspondences in this context, including connections with motivations from theoretical physics. On the algebraic side, embedding theorems for algebras with trace and supertrace, generalizing Cayley-Hamilton algebras, provide a bridge between this algebraic theory and supergeometry.
Selected work
- 2026
The moduli space of torsion-free sheaves with quasi-maximal third Chern class
with Marcos Jardim and Leonardo Oliveira. Preprint. arXiv:2609.32668
- 2026
On higher Jacobians, Laplace equations, and Lefschetz properties
with Aline V. Andrade and Rodrigo Gondim. Bulletin of the London Mathematical Society 58. arXiv:2311.02178
- 2025
Splitting of supervector bundles on projective superspaces
with Ugo Bruzzo. Annali di Matematica Pura ed Applicata 204. arXiv:2501.10765
- 2022
Irreducible components of the moduli space of rank 2 sheaves of odd determinant on projective space
with Marcos Jardim and Alexander S. Tikhomirov. Advances in Mathematics 402. arXiv:1903.00292
About me
I obtained my Bachelor's degree (2010 to 2014) and Ph.D. (2014 to 2019) in Mathematics from UNICAMP (Campinas-Brazil), including a visiting Ph.D. period at the Universitat de Barcelona (Barcelona-Spain).
I was a postdoctoral researcher at IME-USP (São Paulo-Brazil) in 2019.
From 2024 to 2025, I was on sabbatical leave at SISSA (Trieste-Italy).
Students
I supervise master's and PhD students in algebraic geometry. Prospective students should have a solid background in algebra and are encouraged to take the courses in Algebraic Geometry and Commutative Algebra. I suggest getting in touch during or after those courses, so we can discuss possible research directions.
I am not currently taking new undergraduate research students.
PhD students
- Laurinda MoraesRank 3 vector bundles on projective schemes
- Gabriel BragaLefschetz properties in Artinian algebras
- Bruno Wellington MoreiraLinear monads on super projective spaces
- Leonardo Silva de OliveiraModuli spaces of torsion free sheaves (UNICAMP, co-advised)
Postdoctoral researcher
- Gabriel BarbosaFoliations, Poisson structures and superfoliations
Events
- 2026
Symposium on Supergeometry, Algebraic Geometry and Foliations
UFMG, Belo Horizonte, November 30 to December 4. Organizer.
- 2026
IV Jornadas Brasileiras em Propriedades de Lefschetz (Brazilian Workshop on Lefschetz Properties)
Salvador, Bahia, September 28 to October 2. Organizer.
- 2025
IX Bandoleros / IX Workshop on Vector Bundles and Applications
Organizer.