Harmonic functions with highly intersecting zero sets
arXiv:2410.03975 - submitted.
Séminaire Bourbaki talk by G. Ginot which discusses, among other topics, the results of the papers "Persistent transcendental Bézout theorems" and "Coarse nodal count and topological persistence" - LINK.
Coarse nodal count and topological persistence (with L. Buhovsky, J. Payette, I. Polterovich, L. Polterovich and E. Shelukhin),
Journal of the European Mathematical Society, 28 (2026), no. 7, pp. 3131-3202.
On certain C0-aspects of contactomorphism groups (with B. Serraille)
International Mathematics Research Notices, 2026, no. 1, Paper No. rnaf354, 25 pp.
Persistent transcendental Bézout theorems (with L. Buhovsky, I. Polterovich, L. Polterovich and E. Shelukhin),
Forum of Mathematics, Sigma, Volume 12, 2024 , e72.
Persistence modules, symplectic Banach-Mazur distance and Riemannian metrics (with J. Zhang),
International Journal of Mathematics, 32 (2021), no. 7, Paper No. 2150040, 76 pp.
Persistence barcodes and Laplace eigenfunctions on surfaces (with I. Polterovich and L. Polterovich),
Geometriae Dedicata, 201 (2019), 111-138.
Persistence modules with operators in Morse and Floer theory (with L. Polterovich and E. Shelukhin),
Moscow Mathematical Journal (issue dedicated to the 80th anniversary of Vladimir Igorevich Arnold), 17 (2017), no. 4, 757-786.