Publications

1. Minimal spheres and scalar curvature. Preprint (2026). arXiv.

2. Equivalence of Almgren-Pitts and phase-transition half-volume spectra. Submitted (2026). arXiv.

3. Morse index of min-max stationary integral varifolds (with Mitchell Gaudet). Submitted (2026). arXiv.

4. Generic density of stationary geodesic nets that are not closed geodesics. Submitted (2025). arXiv.

5. Besicovitch-type inequality for closed geodesics on 2-dimensional spheres. To appear in Journal of Topology and Analysis (2024). arXiv.

6. The Gromov-Hausdorff Distance between Vertex Sets of Regular Polygons Inscribed in a Single. Moscow University Mathematics Bulletin 78 (2023), no. 3, 130–135. journal, arXiv.