**Welcome to my homepage!**

I am currently a postdoctoral researcher at IMPA, under the mentoring of Lucas Ambrozio.

My area of research is differential geometry and geometric analysis. More precisely, my research has been mostly focused on the study of instantons and monopoles in Yang-Mills-Higgs gauge theories, with a particular interest in the concrete relations between gauge theory and calibrated geometry on special holonomy manifolds. More recently, I've been also studying general flows of geometric structures, particularly the (isometric) harmonic flow of H-structures.

Previously, I had the following positions: postdoc at University of Campinas (Unicamp)/Université de Bretagne Occidentale (UBO) as a CAPES-COFECUB scholarship holder, mentored by both Henrique N. Sá Earp and Eric Loubeau; (remote) visiting researcher of the School of Mathematical Sciences, Peking University (2021); and postdoctoral researcher at Universidade Federal Fluminense (2020), under the mentoring of Gonçalo Oliveira.

I completed my Ph.D. in March 2020 at the University of Campinas (Unicamp), under the supervision of both Henrique N. Sá Earp and Gonçalo Oliveira.

Here is my CV; for a version in portuguese see CV Lattes. Here is my ORCID.

**Email**: fadel (dot) daniel (at) gmail (dot) com

Publications And preprints

with E. Loubeau, A. J. Moreno and H. N. Sá Earp,

**Flows of geometric structures**. preprint (2022) arXiv:2211.05197**Asymptotics of finite energy monopoles on AC 3-manifolds**, J Geom Anal**33**, 17 (2023). arXiv:2112.00063with Á. Nagy and G. Oliveira,

**The asymptotic geometry of G2-monopoles**, to appear in Memoirs of the American Mathematical Society. (2022) arXiv:2009.06788with G. Oliveira,

**The****l****imit of****l****arge****m****ass****m****onopoles**, Proc. London Math. Soc., 119: 1531-1559 (2019). arXiv:1803.04117with H. N. Sá Earp,

**Gauge theory in higher dimensions**, e-book published by IMPA 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 and can be accessed here. See also my Research Gate profile.

Current projects

with L. Ambrozio,

**Gauge theory, calibrated geometry and generalizations of Zoll metrics**.with G. Oliveira,

**The large mass limit behavior of G2-monopoles**.with S. H. Esfahani, L. Foscolo, Á. Nagy and G. Oliveira,

**G2-monopoles and the Donaldson-Segal program.**with J. Stein,

**G2-instantons on A(L)C manifolds.**

Talks

**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.****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.

Teaching

**Fundamental group and covering spaces**. Summer School, IMPA, 2023.

Minicourses

**Gauge Theory in Higher Dimensions**. 32º Brazilian Mathematics Colloquium, IMPA, 2019.**Introduction to Geometric Measure Theory**. Meeting on Geometric Analysis, Unicamp, 2017.

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