Journal article
In the Self-Contact Problem in Nonlinear Elasticity
Archive for Rational Mechanics and Analysis 243, 1433–1448 (2022).
Publications
2022Preprints
2025–2026Dirac spectra and the topology of spaces of metrics
Spin Dirac operator; norm-resolvent approximation; generic simplicity; harmonic spinor; spectral prescription; real index difference; spaces of metrics; positive scalar curvature
MSC 2020: 58J50, 53C27, 58J20, 58D17, 57R65
Natural spectra and arithmetic of lens spaces
Lens spaces; natural spectra; spectral rigidity; Casimir operators; congruence lattices; lens orbifolds
MSC 2020: 58J53, 22E46, 11F72, 11H06
Spectral identities and closed-geodesic periods
Isospectral manifolds; closed-geodesic periods; wave traces; marked spectra; normal homogeneous spaces; Casimir operators; central extensions; canonical connections; profinite completion
MSC 2020: 58J53, 53C22, 53C30, 22E46, 55P62, 20E18
Spectral resolution and rigidity of spherical space forms
Laplace spectrum; spherical space form; spectral rigidity; closed geodesics; Zoll manifold; Poisson relation
MSC 2020: 58J53, 53C22, 58E10, 55R20, 53D12
Finite spectral determination of compact homogeneous manifolds
Laplace spectrum; homogeneous manifold; spectral compactness; semialgebraic set; naturally reductive metric; spectral rigidity
MSC 2020: 58J53, 53C30, 22E46, 14P10, 58J50
Sharp defect bounds for regular-matroid Jacobians
Regular matroid; Jacobian; exponent; integral lattice; root system; finiteness
MSC 2020: 05B35, 05C25, 11H56
Sharp Schrödinger inequalities for embedded hypersurfaces
Minimal hypersurface; self-shrinker; contact curvature; Schrödinger operator; Gaussian density; rigidity
MSC 2020: 53C42, 58J50, 53E10, 35J10
Volume asymptotics and Einstein moduli on spheres
Einstein metric; Einstein moduli; normalized volume; sine-cone; cohomogeneity one
MSC 2020: 53C25, 58D27
Uniqueness, Morse index, and nullity of Carlotto–Schulz minimal hypersurfaces
Minimal hypersurface; Morse index; Jacobi operator; first eigenvalue; shooting method; interval arithmetic
MSC 2020: 53C42, 58J50, 34B24, 65G20, 58E12
Knotted tori in the four-sphere with diffeomorphic exteriors
knotted torus; smooth exterior; torus surgery; circle action; peripheral structure; commutator length
MSC 2020: 57K45, 57R65, 20F67, 57K31
Einstein link spectra and the Morse index of Ricci-flat cones
Einstein metric; Ricci-flat cone; Lichnerowicz operator; Morse index; finite quotient; conformally Kähler metric; inverse-square potential
MSC 2020: 53C25, 58J50, 35P20, 53C55, 53E20
Instability of Einstein warped products and a one-sided Weyl curvature gap
Einstein metric; warped product; transverse-traceless tensor; Weyl curvature; integral pinching; orbifold degeneration
MSC 2020: 53C25, 58J50, 53C23
Scalar and tensor eigenvalue bounds for conformally Kähler Einstein four-manifolds
Einstein metric; scalar Laplacian; Lichnerowicz Laplacian; conformal instability; toric Kähler metric; Ricci-flat cone
MSC 2020: 53C25, 58J50, 53C55, 53E20
AbstractRead free PDF: Scalar and tensor eigenvalue bounds for conformally Kähler Einstein four-manifoldsRead on Zenodo: Scalar and tensor eigenvalue bounds for conformally Kähler Einstein four-manifoldsZenodo record: Scalar and tensor eigenvalue bounds for conformally Kähler Einstein four-manifoldsThe optimal eigenvalue count in Aubry's spectral sphere theorem for dimensions at least four
Spectral geometry; Ricci curvature
MSC 2020: 58J50, 53C20, 53C21, 53C23
AbstractRead free PDF: The optimal eigenvalue count in Aubry's spectral sphere theorem for dimensions at least fourRead on Zenodo: The optimal eigenvalue count in Aubry's spectral sphere theorem for dimensions at least fourZenodo record: The optimal eigenvalue count in Aubry's spectral sphere theorem for dimensions at least fourNegative Lichnerowicz modes on Einstein warped products and spheres
Einstein metrics; Spectral geometry
MSC 2020: 53C25, 58J50
Homological obstructions to local contractibility in noncollapsed Ricci limits
Ricci curvature; Local contractibility
MSC 2020: 53C23, 53C21, 55N10
AbstractRead free PDF: Homological obstructions to local contractibility in noncollapsed Ricci limitsRead on Zenodo: Homological obstructions to local contractibility in noncollapsed Ricci limitsZenodo record: Homological obstructions to local contractibility in noncollapsed Ricci limitsIllustrated companionRealization and rigidity of finite discriminant pairings
Discriminant pairing; integral lattice; graph Jacobian; monodromy; prime complement; locally flat embedding
MSC 2020: 11E08, 11E12, 05C50, 14H40, 11G20, 57N35
Topological singularities in the codimension-two stratum of noncollapsed Ricci limits
Ricci curvature; Topological singularities
MSC 2020: 53C23, 53C21, 57P05, 55N10
AbstractRead free PDF: Topological singularities in the codimension-two stratum of noncollapsed Ricci limitsRead on Zenodo: Topological singularities in the codimension-two stratum of noncollapsed Ricci limitsZenodo record: Topological singularities in the codimension-two stratum of noncollapsed Ricci limitsIllustrated companionOperational and free-energy convergence do not determine kinetic geometry in logarithmic quantum transport
Quantum optimal transport; Metric geometry
MSC 2020: 49Q22, 46L57, 47D07, 49J45, 81P17
AbstractRead free PDF: Operational and free-energy convergence do not determine kinetic geometry in logarithmic quantum transportRead on Zenodo: Operational and free-energy convergence do not determine kinetic geometry in logarithmic quantum transportZenodo record: Operational and free-energy convergence do not determine kinetic geometry in logarithmic quantum transportIntegral invariants of reduced plumbing graphs
Plumbing graphs; Differential topology
MSC 2020: 57R19, 57R20, 11E76, 05B35, 53C21
Fundamental-group epimorphisms in noncollapsed Ricci limits
Fundamental groups; Ricci curvature
MSC 2020: 53C21, 53C23, 57M10, 57R65, 20E06
Finiteness thresholds and surface bounds for graph Jacobians
Graph Jacobian; exponent; biconnected graph; integral potential; monodromy pairing; planar graph; toroidal embedding
MSC 2020: 05C25, 05C50, 05C10, 05C40, 20K01
Local realization of spectral clusters
spectral cluster; Laplace operator; Schrödinger operator; local realization; multiplicity; holonomy; spectral rigidity
MSC 2020: 58J50, 35P05, 35S05, 58C40, 53C29, 57R22
Prescribed Steklov spectra and multiplicities on surfaces
Steklov eigenvalue; spectral prescription; eigenvalue multiplicity; surface with boundary; graph Laplacian; homogenisation
MSC 2020: 58J50, 35P05, 35J25, 53A05, 05C50
Illustrated companions
2026Illustrated companion
Small regions, persistent homology: an illustrated companion to the construction
Companion to Homological obstructions to local contractibility in noncollapsed Ricci limits.
29 September 2026 · v1
Illustrated companion
Two links at one point: an illustrated companion to the construction
Companion to Topological singularities in the codimension-two stratum of noncollapsed Ricci limits.
29 September 2026 · v1