Papers and Preprints

Preprints:

Revisiting Arnold's topological proof of the Morse index theorem (2023), arxiv: math.DG/2307.00655.

Papers:

Classification of linear operators satisfying $(A u, v) = (u, A^{r} v)$ or $(A u, A^{r} v) = (u, v)$ on a vector space with indefinite scalar product, Linear Algebra and its Applications 611 (2021), 118-134, https://doi.org/10.1016/j.laa.2020.12.005. (with V. S. Borges, I. Kashyba, V. V. Sergeichuk & A. Zaidan.)