Research

Preprints and Publications

1.  Moreno, A & Saavedra, J. On the Laplacian coflow of invariant G2-structures and its solitons. Matemática Contemporânea, v. 60, p. 185-224, 2024.  

2.  Moreno, A. Harmonic G2-structures on almost Abelian Lie groups. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, v. 91, p. 102060, 2023. 

3. Clarke, A., Del Barco, V. & Moreno, A. G2-instantons on 2-step nilpotent Lie groups arXiv:2304.04284, 2023.

4. Fadel, D., Loubeau, E., Moreno, A. & Sá Earp, H. Flows of geometric structures arXiv:2211.05197,  2022. 

5.  Loubeau, E., Moreno, A., Sá Earp, H. & Saavedra, J. (2021). Harmonic Sp(2)-invariant G2-structures on the 7-sphere. JOURNAL OF GEOMETRIC ANALYSIS, v. 32, p. 240-289, 2022. 

6. Moreno, A. J., & Sá Earp, H. The Weitzenböck formula for the Fueter-Dirac operator. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, v. 30, p. 153-205, 2022.

7. Moreno, A. J., & Sá Earp, H. (2021). Explicit soliton for the Laplacian co-flow on a solvmanifold. São Paulo Journal of Mathematical Sciences, 15(1), 280-292. arXiv:1902.02874 .

    PhD thesis and master dissertation

1. Moreno, A. J. (2019). Algebraic methods in G2-geometry, PhD thesis, University of Campinas.

2. Moreno, A. J. (2015). The Fueter operator and deformation of associative submanifolds, Master dissertation, University of Campinas. (In portuguese).