геометрический анализ, минимальные подмногообразия, спектральная геометрия

1. Cianci, D. and Karpukhin, M. and Medvedev, V., “On branched minimal immersions of surfaces by first eigenfunctions”, Annals of Global Analysis and Geometry, 56:4 (2019), 667–690
2. Medvedev, V., “Degenerating sequences of conformal classes and the conformal Steklov spectrum”, Canadian Journal of Mathematics, 2020, 1–44
3. Karpukhin, M. and Medvedev, V., “On the Friedlander–Nadirashvili invariants of surfaces”, Mathematische Annalen, 379:3 (2021), 1767–1805
4. Medvedev, V., “On the index of the critical {M}öbius band in $\mathbb{B}^4$”, arxiv, 2021
5. Medvedev, V., “An index upper bound for non-orientable minimal surfaces in the $n-$ dimensional Euclidean space”, arxiv, 2022

• Национальный исследовательский университет "Высшая школа экономики", г. Москва