Publications

The Deligne-Riemann-Roch isomorphism, with , submitted (, )

Genus one mirror symmetry for intersection of two cubics in P5, with , submitted (, )

Base change conductors through intersection theory and quotient singularities, with ; and , Documenta (, , Accepted for publication (arXiv:2109.02033))

The spectral genus of an isolated hypersurface singularity and a conjecture relating to the Milnor number, with , Documenta (, , Accepted for publication (arXiv:2410.15370))

Complex Chern–Simons bundles in the relative setting, with ; and , Astérisque (, , Accepted for publication (arXiv:2109.02033))

Deligne-Riemann-Roch and intersection bundles, with , J. Éc. polytech. Math., 11:247-361 ()

On genus one mirror symmetry in higher dimensions and the BCOV conjectures, with ; and , Forum Math. Pi, 10(e19)1-53 ()

Nonproper intersection products and generalized cycles, with ; ; ; and , Eur. J. Math., 7(4)1337-1381 ()

Global representation of Segre numbers by Monge-Ampère products, with ; ; ; and , Math. Ann., 380(1-2)349-391 ()

BCOV invariants of Calabi-Yau manifolds and degenerations of Hodge structures, with ; and , Duke Math. J., 170(3)379-454 ()

Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry, with , Advances in Mathematics, 378:107501-107501 (, , Article ID 107501 (125 pages))

BCOV invariants of Calabi–Yau manifolds and degenerations of Hodge structures, with ; and , Duke Mathematical Journal, 170(3)379-454 (, )

Global representation of Segre numbers by Monge–Ampère products, with ; ; ; and , Mathematische Annalen, 380(1-2)349-391 (, )

Kähler quantisation of vortex moduli, with , Letters in Mathematical Physics, 110(3)659-693 (, )

Singularities of metrics on Hodge bundles and their topological invariants, with ; and , Algebraic Geometry, 5(6)742-775 (, )

Discriminants and Artin conductors. Journal für die reine und angewandte Mathematik (Crelle), 712:107-121 (, )

Erratum to: Discriminants and Artin conductors (J. Reine Angew. Math. 712 (2016), 107–121). J. Reine Angew. Math., 814:283-284 (MR4793346,, Erratum (MR4793346))

A logarithmic interpretation of Edixhoven's jumps for Jacobians, with ; and , Advances in Mathematics, 279:532-574 (, )

Degenerating Riemann surfaces and the Quillen metric. International Mathematics Research Notices, 2013(2)347-361 (, )

Un isomorphisme de type Deligne–Riemann–Roch. Comptes Rendus Mathematique, 347(19-20)1115-1118 (, )

On the Brauer–Manin obstruction for zero-cycles on curves, with , Acta Arithmetica, 135(2)99-110 (, )

Collaborators

Research students

Master students

  • S. Plumeyer (Current)

    Thesis title: (tentative) Tubular neighborhoods in geometry

  • S. Jansson (Current)

    Thesis title: (tentative) Hurwitz numbers and modular forms

  • L. Xudong (2024)

    Thesis title: The geometry of bielliptic surfaces

  • F. Frelot (2022)

    Thesis title: The Torelli theorem

  • R. A. Pop Gorea (2021)

    Thesis title: Analogies Between Geometry and Number Theory

  • M. Fries (2020)

    Thesis title: Mirror symmetry at genus one of elliptic curves

  • M. Lindby (2016)

    Thesis title: Elliptic curves and their L-series: The role of complex multiplication.