University of Campinas - Unicamp
Institute of Mathematics, Statistics and Scientific Computing - IMECC
Address: Rua Sérgio Buarque de Holanda, 651 Barão Geraldo - Campinas - São Paulo - Brasil. Postal Code: 13083-859
Office: 340
Photo: Torre de Belém, Lisbon, Portugal (2024)
I am currently an assistant professor (MS3.1) at IMECC/UNICAMP. My main research interest is in Differential Geometry, with focus on the following themes: Parabolic Cartan Geometry (Complex flag manifolds), Hamiltonian Systems and Quantization (Kirillov's orbit method), Fiber bundles and Connections (Kaluza-Klein Theory, G-structures, Gauge Theory, and Yang-Mills Theory).
Google Scholar CV Lattes ResearchGate
GeoTop: geotop.ime.unicamp.br
Publications & Preprints
Publications:
1. CORREA, EDER M.; Principal elliptic bundles and compact homogeneous l.c.K. manifolds, ANNALI DI MATEMATICA PURA ED APPLICATA, 2025.
2. CORREA, EDER M.; Hermitian non-Kähler structures on products of principal S^{1}-bundles over complex flag manifolds and applications in Hermitian geometry with torsion, THE ASIAN JOURNAL OF MATHEMATICS, Volume 28 (2024) Number 3, pp. 437-500, 2024.
3. CORREA, EDER M.; DHYM connections on higher rank holomorphic vector bundles over P(TP2), MATHEMATISCHE ZEITSCHRIFT, Vol. 308, article number 36, 2024.
4. CORREA, EDER M.; GRAMA, LINO; Twisted Kähler-Einstein metrics on flag varieties. MATHEMATISCHE NACHRICHTEN, p. 1-15, 2024.
5. CORREA, EDER M.; From complex contact structures to real almost contact 3-structures, ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, Vol. 65, Article 6, 2024.
6. CORREA, EDER M.; Kähler-Ricci flow on rational homogeneous varieties, JOURNAL OF ALGEBRA, Vol. 629, p. 38-75, 2023.
7. CORREA, EDER M.; Levi-Civita Ricci-Flat metrics on non-Kähler Calabi-Yau manifolds. THE JOURNAL OF GEOMETRIC ANALYSIS, v. 33, p. 90-120, 2023.
8. CORREA, EDER M.; GRAMA, LINO; Lax formalism for Gelfand-Tsetlin integrable systems. BULLETIN DES SCIENCES MATHEMATIQUES, v. 170, p. 102999, 2021.
9. CORREA, EDER M.; GRAMA, LINO; Calabi-Yau metrics on canonical bundles of complex flag manifolds. JOURNAL OF ALGEBRA, v. 527, p. 109-135, 2019.
10. CORREA, EDER M.; Homogeneous contact manifolds and resolutions of Calabi-Yau cones. COMMUNICATIONS IN MATHEMATICAL PHYSICS, v. 367, p. 1095-1151, 2019.
Preprints:
1. CORREA, E. M.; GALINDO, G.; GRAMA, L.; Bundle type sub-Riemannian structures on holonomy bundles, 2024 (arXiv:2407.01427)
2. CORREA, E. M.; Prescribed mean curvature problems on homogeneous vector bundles, 2024 (arXiv:2406.16243 )
3. CORREA, E. M.; t-Gauduchon Ricci-flat metrics on non-Kähler Calabi-Yau manifolds, 2023 (arXiv:2310.01788)
4. CORREA, E. M.; Deformed Hermitian Yang-Mills equation on rational homogeneous Varieties, 2023 (arXiv:2304.02105 )