Research/Pesquisa

Publications And preprints

1. with  E. Loubeau, A. J. Moreno and H. N. Sá Earp, Flows of geometric structures. preprint arXiv:2211.05197. [Submitted to arXiv on 9 Nov 2022 (v1), last revised 16 Dec 2023 (v3)]

2. Asymptotics of finite energy monopoles on AC 3-manifolds, J Geom Anal 33, 17 (2023). arXiv:2112.00063 

3. with Á. Nagy and G. Oliveira, The asymptotic geometry of G2-monopoles, to appear in Memoirs of the American Mathematical Society. arXiv:2009.06788 [Submitted to arXiv on 14 Sep 2020 (v1), last revised 12 Sep 2022 (v4)]

4. with G. Oliveira, The limit of large mass monopoles, Proc. London Math. Soc., 119: 1531-1559 (2019). arXiv:1803.04117 

5. with H. N. Sá Earp, Gauge theory in higher dimensions, e-book published by IMPA (ISBN-13: 9788524404801) in the 32nd Brazilian Mathematics Colloquium. (2019) (Original version available here. A more recent version, correcting some mistakes and typos, is here.) 

The list of all my articles on arXiv can be accessed here. See also my Research Gate profile. 

TALKS

• Stability of critical points of the self-dual abelian YMH energy on Kähler manifolds. Special Holonomy and Geometric Structures on Complex Manifolds, IMPA, 2024. [Video of the talk]

• On the harmonic flow of geometric structures. Workshop BRIDGES: Special geometries and gauge theories, University of Pau, 2023.

• On the harmonic flow of geometric structures. Geometry Webinar AmSur/AmSul, 2023. [slides] [video]

• On the harmonic flow of geometric structures. Dia da Geometria II, UFC, 2023.

• On the harmonic flow of geometric structures. UFRJ, 2023.

• Large mass G2-monopoles. IMPA, 2023.

• Flows of H-structures, II: long-time existence and finite-time singularity for harmonic flows. Workshop on Geometric Structures and Moduli Spaces, UNC, 2022.

• Harmonic flow of H-structures. Séminaire de Géométrie et Topologie, Institut de Mathématiques de Toulouse, 2022.

• Large mass G2-monopoles. UCL Geometry Seminar, 2022.

• Analytical aspects of Yang-Mills-Higgs monopoles. Séminaire de Géométrie et Topologie (UBO), 2022.

• Asymptotics of finite energy monopoles on AC 3-manifolds. UCSB Differential Geometry Seminar, 2022. [slides]

• Asymptotics of finite energy monopoles on AC 3-manifolds. UFRJ Geometry Seminar, 2022.

• Asymptotics of finite energy monopoles on AC 3-manifolds. Waterloo Geometry and Topology Seminar, 2021.

• Large mass monopoles on asymptotically conical 3-manifolds. OLGA - Oxford-London Gauge Assembly, 2021. [slides]

• Large mass monopoles on asymptotically conical 3-manifolds. Research Seminar, Institute of Differential Geometry, Leibniz Universität Hannover, 2021.

• The asymptotic geometry of G2-monopoles. Geometry Webinar AmSur/AmSul, 2020. [slides] 

• The behavior of sequences of large mass monopoles on AC 3-manifolds. Mathematical-Physics day, UFF, 2019.

• The Limit of Large Mass Monopoles. III Mini-Workshop on Symplectic Geometry, PUC-RJ, 2018.

• The Limit of Large Mass Monopoles. USP-Unicamp Geometry Seminar, Unicamp, 2018.

• Existence of Hermitian-Einstein metrics on stable holomorphic bundles over compact complex manifolds. Gauge theory reading seminar, MIT, 2016.

• On blow-up loci of instantons in higher dimensions. Gauge theory in complex and G2-geometry, MIT, 2016.