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• Cunef Universidad, Madrid: Tenure track since September 2023.. 

Previous positions:

• University of Sheffield -- Research associate from December 2020 to August 2023

• Basque Centre for applied Mathematics, Spain -- postdoctoral fellow from 2016 to 2020 (with short breaks)

• Instituto de Matemática Pura e Aplicada (IMPA), Brazil -- visiting researcher for 6 months in 2019

• Tata Institute of Fundamental Research, India -- postdoctoral fellow from January 2016 to September 2016

• Humboldt Universität zu Berlin, Germany -- PhD finished in October 2015 under Prof. Remke Kloosterman. Thesis title: Geometry of Noether-Lefschetz Locus.

1. Examples of non-flat bundles of rank one (joint with A. Romano-Velázquez),  Comptes rendus - Mathématique (2023),

2. Determinant morphism for singular varieties (joint with I. Kaur),  Annali della Scuola Normale Superiore di Pisa, Classe di scienze (2023).

3. Hodge conjecture for the moduli space of semi-stable sheaves over a nodal curve (joint with I. Kaur), to appear in Annali di Matematica Pura ed Applicata (2022).

4. Generators of the cohomology ring, after Newstead (joint with S. Basu and I. Kaur), Proceedings of AMS (2022).

5. Generalization of a conjecture of Mumford (joint with I. Kaur),  Advances in Mathematics (2021),  

6. Local topological obstruction for divisors (joint with I. Biswas), Revista Matemática Complutense (2021),

7. On a conjecture of Harris, Communications in Contemporary Mathematics, (2020),

8. Néron models of intermediate Jacobians associated to moduli spaces, (joint with I. Kaur), Revista Matemática Complutense (2020),

9. Descent theory of simple sheaves on C1 fields, (joint with I. Kaur), Revista Matemática Contemporânea (2020),

10. Examples of varieties with index one on C1 fields, (joint with I. Kaur), Journal of Number Theory (2019),

11. Degeneration of Intermediate Jacobians and the Torelli theorem, (joint with S. Basu and I. Kaur), Documenta Mathematica (2019),

12. Criterion for logarithmic connections with prescribed residue, (joint with I. Biswas and A. Paul), Manucripta Mathematica (2018),

13. Logarithmic connections on principal bundles over a Riemann surface, (joint with I. Biswas, A. Paul and A. Saha),  International Journal of Mathematics (2017),

14. On generically non-reduced components of Hilbert schemes of smooth curves, Mathematische Nachrichten (2017),

15. Notes on solvability of curves on surfaces, (joint with M. Z. Fashami and N. Zangani), Le Matematiche (2017),

16. Semi-regular varieties and variational Hodge conjecture, (joint with I. Kaur), Comptes rendus - Mathématique (2016),

17. On a conjecture by Griffiths and Harris concerning certain Noether–Lefschetz loci, Communications in Contemporary Mathematics (2015).

In Proceedings

1. Noether-Lefschetz locus and a special case of the variational Hodge conjecture: using elementary techniques, Analytic and Algebraic Geometry. Springer, p. 107 − 115, (2017)

• Mathematics-II at CUNEF Universidad, Spain, Semester 1, 2024

• Mathematics-I at CUNEF Universidad, Spain, Semester 1, 2023/24

• MAS330 Topics in Number Theory at University of Sheffield, UK, Semester 1, 2022/23

• MAS330 Topics in Number Theory at University of Sheffield, UK, Semester 1, 2021/22

• Noether-Lefschetz locus with applications to deformation theory at Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janerio, Brazil, February 2018

• Nori connectivity theorem and applications at Tata Institute of Fundamental research, Mumbai, India, Spring term 2016

• Introduction to scheme theory and Hilbert polynomials at ATM school on “The Grothendieck-Riemann Roch theorem”, University of Hyderabad, India, December, 2015.

GLEN workshop - Derived Categories, Hodge theory and singularities , 28th to 30th June, 2023 at the University of Sheffield.

Algebraic geometry, Hodge theory, Noether-Lefschetz locus, Deformation theory, Hilbert schemes, Moduli spaces of sheaves, McKay correspondence