Research interests: 

I'm a researcher in Algebraic and Complex geometries focusing on distributions and foliations, moduli of (parabolic) sheaves and tensors. Some of my topics of interest are the following:

• Automorphism groups of holomorphic distributions and foliations;  

• Parabolic vector bundles over Riemann surfaces and moduli spaces of logarithmic connections;

• Moduli spaces of holomorphic distributions and foliations;

• Moduli spaces of sheaves and related topics;

• Varieties of tensors and Euclidean Distance Degree;

Publications:

• On the minimal algebraic complexity of the rank-one approximation problem for general inner products. (2023) (with K. Kozhasov, Y. Qi, and L. Sodomaco) to apperar in Math. Comp. (2025)

• p-Forms from Syzygies. (2025) Rend. Istit. Mat. Univ. Trieste Vol. 57 (2025), Art. No. 19, DOI:10.13137/2464-8728/37300 

• Rank-two reflexive sheaves on the projective space with second Chern class equal to four. (with Marcos Jardim) Bull Braz Math Soc, New Series 56, 25 (2025) DOI:10.1007/s00574-025-00451-w

• Codimension one foliations on homogeneous varieties. (with Daniele Faenzi and Vladimiro Benedetti) Adv. in Math. 434, 109332 (2023).  DOI:10.1016/j.aim.2023.109332

• On the Moduli of Logarithmic Connections on Elliptic Curves. (with Thiago Fassarella and Frank Loray) Math. Z. 301, 4079–4118 (2022). DOI:10.1007/s00209-022-03041-4 

• Moduli of Distributions via Singular Schemes. (with Maurício Corrêa and Marcos Jardim) Math. Z. 301, pages 2709–2731 (2022). DOI:10.1007/s00209-022-03001-y 

• Codimension one distributions of degree 2 on the three-dimensional projective space. (with Marcos Jardim and Hugo Galeano) J. Pure Appl. Algebra 226, No. 2, Article ID 106840, 32 p. (2022)  DOI:10.1016/j.jpaa.2021.106840 

• Foliations on the projective plane with finite group of symmetries. (with Rudy Rosas) Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XXII (2021), 871-902. DOI: 10.2422/2036-2145.201906_011.

• Polynomial bounds for automorphisms groups of foliations. (with Maurício Corrêa) Rev. Mat. Iberoam. 35 (2019), 1153-1194. DOI: 10.4171/rmi/1081  

Preprints:

• Degree-one foliations on complete intersections. (2025) (with M. Figueira, C. Kuster, and R. Lizarbe)

• Holomorphic foliations of degree two and arbitrary dimension. (2023) (with Maurício Corrêa) 

Other:

• Contributed to "BRIDGES Lectures: G2 in action, and a mathematical theory of exceptions" (2025) (by Laurent Manivel)  

• Appendix to "Logarithmic sheaves of complete intersections" (by Daniele Faenzi, Marcos Jardim, and Jean Vallès) Ann. SNS 26(3), 1703-176326(3), 1703-1763 DOI:10.2422/2036-2145.202306_012 

PhD Thesis: 

• Polynomial bounds for automorphism groups of foliations (under the supervision of Mauricio Corrêa at UFMG).

Presentations:

• Symmetries of foliations on the projective plane.  Slides

• On moduli spaces of rank two logarithmic connections over an elliptic curve. Slides, Video from BRAG .

• Moduli of Distributions via Singular Schemes. Slides ,  Video from 33CBM.

• Symmetries of foliations on surfaces. Slides from DBE-Seminar 29/11/21