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Research interests.

My research focuses mainly on the study of geometric structures on differential manifolds which are invariant under Lie group actions.

Interesting webinars.

-- AmSur/AmSul Geometry Webinar Webpage

-- Virtual seminar on geometry with symmetries Webpage

-- Seminario (Web) de Geometría Diferencial You tube channel

-- Geometry & TACoS Montly sessions Webpage

Previous Positions.

June 2015 - July 2021: Assistant Researcher at CONICET, Argentina.

March 2014 - February 2021: Adjoint Professor at Math. Department, FCEIA Universidad Nacional de Rosario, Argentina.

Oct. 2019 - Nov. 2020, ATER (temporary teaching assistant position) at the Laboratoire de Mathématiques, Université Paris-Saclay, France.

May 2016 - April 2019 : Postdoctoral researcher at IMECC (Brazil) within the Lie Theory research group. Funded by FAPESP

Dec. 2017 - Nov. 2018 : Postdoctoral internship abroad, visiting LMO (France). Funded by FAPESP

April 2012 - March 2014 : Postdoctoral researcher at FCEIA (Argentina) within the Differential Geometry and Lie Theory research group. Funded by CONICET

Publications. (Orcid - zbMATH - MR Id - Google scholar)

25. G_2 instantons on 2-step nilpotent Lie groups (with A. Clarke and A. J. Moreno), to appear in Adv. Theor. Math. Phys. [arxiv]

24. Locally conformally product structures on solvmanifolds (with A. Andrada and A. Moroianu), Ann. Mat. Pura Appl. 203, pp. 2425-2456, 2024. [link to the article] [arxiv]

23. Ad-invariant metrics on nonnice nilpotent Lie algebras (with D. Conti and F. A. Rossi) 2021, J. Algebra Appl. [link to the article] [arxiv]

22 . Uniqueness of ad-invariant metrics (with D. Conti and F. A. Rossi) Tohoku Math. J. 76 (3), pp. 317-359, 2024. [link to the article] [arxiv]

21. Weyl-Einstein structures on conformal solvmanifolds (with A. Moroianu and A. Schichl) Geom. Dedicata 217, article number 9, 2023. [link to the article] [arxiv] [online view]

20. Conformal Killing forms on 2-step nilpotent Riemannian Lie groups (with A. Moroianu) Forum Math. 33 (5) 1331--1347, 2021. [link to the article] [arxiv]

19. Conformal Killing symmetric tensors on Lie groups (with A. Moroianu) J. Lie Theory 32(1) pp 1-22, 2022. [link to the article] [arxiv]

18. Purely coclosed G2-structures on 2-step nilpotent Lie groups (with A. Moroianu and A. Raffero) Rev. Mat. Complut. 35 (2022) 323-359. [link to the article] [arxiv]

17. Higher degree Killing forms on 2-step nilmanifolds (with A. Moroianu) J. Algebra 563 (2020) 251-273. [link to the article] [arxiv]

16. Diagram involutions and homogeneous Ricci-flat metrics (with D. Conti and F. A. Rossi) Manuscripta Math. 165 (2021) 381-413 [link to the article] [arxiv]

15. Symmetric Killing tensors on nilmanifolds (with A. Moroianu) Bull. Soc. Math. France 148.3 (2020), pp. 411-438. [link to the article] [arxiv]

14. Killing forms on 2-step nilmanifolds (with A. Moroianu) J. Geom. Anal. 31, pp. 863-887 (2021) [link to the article] [arxiv]

13. Symplectic structures on free nilpotent Lie algebras. Proc. Japan Acad. Ser. A Math. Sci. 95.8 (2019), pp. 88-90. [link to the article] [arxiv]

12. De Rham 2-cohomology of real flag manifolds (with L. San Martin) SIGMA 15 (2019), 051, 23 pages. [link to the article] [arxiv]

11. On generalized G2-structures and T-duality (with L. Grama) J. Geom. Phys. 132 (2018) 109-113. [link to the article] [arxiv]

10. T-duality on nilmanifolds (with L. Grama and L. Soriani) J. High Energ. Phys. (2018) 2018: 153. [link to the article] [arxiv]

9. Invariant almost complex structures on real flag manifolds (with A. Cruz de Freitas and L. San Martin) Ann. Mat. Pura Appl. 197 (6) (2018) 1821-1844. [link to the article] [arxiv]

8. Nilradicals of parabolic subalgebras admitting symplectic structures (with L. Cagliero) Differ. Geom. Appl. 46 (2016) 1-13. [link to the article] [arXiv]

7. Homogeneous geodesics in pseudo-Riemannian nilmanifolds Adv. Geom. 16 (2) (2016) 175-188. [link to the article] [arxiv]

6. On a spectral sequence for the cohomology of a nilpotent Lie algebras J. Algebra Appl. 14 (1) (2015) Id: 1450078, 17pages [link to the article] [arxiv]

5. Isometric actions on pseudo-Riemannian nilmanifolds (with G. Ovando) Ann. Glob. Anal. Geom. 45 (2) (2014) 95-110. [link to the article] [arxiv]

4. On the isometry groups of invariant Lorentzian metrics on the Heisenberg group (with G. Ovando and F. Vittone) Mediterr. J. Math. 11 (1) (2014) 137-153. [link to the article] (previous version [arxiv])

3. Lorentzian compact manifolds: isometries and geodesics (with G. Ovando and F. Vittone) J. Geom. Phys 78 (2014) 48-58. [link to the article][arxiv]

2. Symplectic structures on nilmanifolds: an obstruction for its existence. J. Lie Theory 24 (3) (2014) 889-908. [link to the article] [arxiv]

1. Free nilpotent Lie algebras admitting ad-invariant metrics (with G. Ovando) J. Algebra 366 (2012) 205-216.[link to the article] [arxiv]

Preprints.

26. The structure of locally conformally product Lie algebras (with A. Moroianu) 2024. [arxiv]

27. Lie algebras admitting symmetric, invariant and nondegenerate bilinear forms 2016. [arxiv]

Curriculum.

English [CV]

Thesis.

An aproximation to the study of nilmanifolds.Cohomology and its applications. March 2012 [.pdf] (in Spanish)

Advisor: Dra. Isabel Dotti

Second Advisor: Dra. Gabriela Ovando

Links.

FCEIA

UNR

CONICET

IMECC

UNICAMP

FAPESP

Unión Matemática Argentina

Sociedade Brasileira de Matemática

Encuentro de Geometría Rosario 2012

Last update: October 14th, 2024. Two days ago, we celebrated the Dia del respeto a la diversidad cultural in Argentina. The Day of Respect for Cultural Diversity, formerly known as “Day of the Race,” was redefined in order to revalue the culture, history and heritage of the native communities that inhabited the continent, and to promote diversity and human rights of all peoples.

Previous update: September 13th, 2024. Cachaça's day. Cachaça is a distilled spirit of cultural, social and economic relevance in Brazil, strongly related to the begining of the Portuguese colonization of the country.

Previous update: April 30th, 2024. Same day in 1977, there started the walks of "Madres de Plaza de Mayo" with the goal of finding their dissapeared relatives by the military dictatorship.

Previous update: April 13th, 2024.

Previous update: March 21st, 2024. Today autumn starts in the southern hemisphere. Well.. actually a few hours before to be more precise. This is my favourite season.

Previous update: February 28th, 2024. Yesterday, it was celebrated the day of creation of the Argentinean flag .

Previous update: April 4th, 2023. Yesterday, it was celebrated the Researchers' Day in Argentina, in honor to Dr. Bernardo Houssay .

Previous update: January 2023... Happy new year!

Previous update: April 2nd, 2022. "En el marco de los 40 años del conflicto del Atlántico Sur, ratificamos, como hace ya casi 200 años, el reclamo por ejercicio de la plena soberanía argentina sobre las Islas Malvinas, Georgias del Sur, Sandwich del Sur y los espacios marítimos correspondientes." [Día del veterano y de los caídos en la guerra de Malvinas]