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    Singular integral operators, a brief historical overview of its evolution
    (Universidad Nacional de Trujillo, 2022-06-30)
    In this work we give an analytical-historical view of the classical theory of singular integrals introduced by A.P. Calderón-A. Zygmund. Emphasis is given to their applications to PDEs and to some projections of the theory.
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    On a Mattei–Salem theorem
    (Polish Academy of Sciences, 2025-02-26)
    We investigate the relationship between the valuations of a germ of a singular foliation $\mathcal F$ on the complex plane and those of a balanced equation of separatrices for $\mathcal F$, extending a theorem by Mattei–Salem. Under certain conditions, we also derive inequalities involving the valuation, tangency excess, and degree of a holomorphic foliation $\mathcal F$ on the complex projective plane.
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