Algebraic geometry • Arakelov theory • Complex geometry
Department of Mathematical Sciences • Chalmers University of Technology and the University of Gothenburg • 412 58 Gothenburg, Sweden • dener [аt] chalmers.se • he/him/his • Please call me Dennis
I am a Professor in Mathematics at Chalmers University of Technology and the University of Gothenburg.
Arithmetic & complex algebraic geometry, Arakelov theory, BCOV invariants, Calabi–Yau manifolds, singularities, mirror symmetry.
This page provides access to my research publications and related academic information.
The Deligne-Riemann-Roch isomorphism, with Freixas i Montplet, G., submitted (https://arxiv.org/abs/2509.05077, 2025)
Genus one mirror symmetry for intersection of two cubics in P5, with Pochekai, M., submitted (https://arxiv.org/abs/2410.08897, 2024)
Base change conductors through intersection theory and quotient singularities, with Halle, L.H.; and Nicaise, J., Documenta (https://arxiv.org/abs/2410.15370, 2022, Accepted for publication (arXiv:2109.02033))
The spectral genus of an isolated hypersurface singularity and a conjecture relating to the Milnor number, with Freixas i Montplet, G., Documenta (https://arxiv.org/abs/2405.03450, 2024, Accepted for publication (arXiv:2410.15370))
Complex Chern–Simons bundles in the relative setting, with Freixas i Montplet, G.; and Wentworth, R., Astérisque (https://arxiv.org/abs/2109.02033, 2022, Accepted for publication (arXiv:2109.02033))
Deligne-Riemann-Roch and intersection bundles, with Freixas i Montplet, G., J. Éc. polytech. Math., 11:247-361 (2024)
On genus one mirror symmetry in higher dimensions and the BCOV conjectures, with Freixas i Montplet, G.; and Mourougane, C., Forum Math. Pi, 10(e19)1-53 (2022)
Nonproper intersection products and generalized cycles, with Andersson, M.; Samuelsson Kalm, H.; Wulcan, E.; and Yger, A., Eur. J. Math., 7(4)1337-1381 (2021)
Global representation of Segre numbers by Monge-Ampère products, with Andersson, M.; Samuelsson Kalm, H.; Wulcan, E.; and Yger, A., Math. Ann., 380(1-2)349-391 (2021)
BCOV invariants of Calabi-Yau manifolds and degenerations of Hodge structures, with Freixas i Montplet, G.; and Mourougane, C., Duke Math. J., 170(3)379-454 (2021)
Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry, with Boucksom, S., Advances in Mathematics, 378:107501-107501 (doi:10.1016/j.aim.2020.107501, 2021, Article ID 107501 (125 pages))
BCOV invariants of Calabi–Yau manifolds and degenerations of Hodge structures, with Freixas i Montplet, G.; and Mourougane, C., Duke Mathematical Journal, 170(3)379-454 (doi:10.1215/00127094-2020-0045, 2021)
Global representation of Segre numbers by Monge–Ampère products, with Andersson, M.; Samuelsson Kalm, H.; Wulcan, E.; and Yger, A., Mathematische Annalen, 380(1-2)349-391 (doi:10.1007/s00208-020-01973-y, 2021)
Kähler quantisation of vortex moduli, with Romão, N., Letters in Mathematical Physics, 110(3)659-693 (doi:10.1007/s11005-019-01221-7, 2020)
Singularities of metrics on Hodge bundles and their topological invariants, with Freixas i Montplet, G.; and Mourougane, C., Algebraic Geometry, 5(6)742-775 (doi:10.14231/AG-2018-021, 2018)
Discriminants and Artin conductors. Journal für die reine und angewandte Mathematik (Crelle), 712:107-121 (doi:10.1515/crelle-2014-0062, 2016)
Erratum to: Discriminants and Artin conductors (J. Reine Angew. Math. 712 (2016), 107–121). J. Reine Angew. Math., 814:283-284 (MR4793346,2024, Erratum (MR4793346))
A logarithmic interpretation of Edixhoven's jumps for Jacobians, with Halle, L.H.; and Nicaise, J., Advances in Mathematics, 279:532-574 (doi:10.1016/j.aim.2015.04.007, 2015)
Degenerating Riemann surfaces and the Quillen metric. International Mathematics Research Notices, 2013(2)347-361 (doi:10.1093/imrn/rnr234, 2013)
Un isomorphisme de type Deligne–Riemann–Roch. Comptes Rendus Mathematique, 347(19-20)1115-1118 (doi:10.1016/j.crma.2009.09.003, 2009)
On the Brauer–Manin obstruction for zero-cycles on curves, with Scharaschkin, V., Acta Arithmetica, 135(2)99-110 (doi:10.4064/aa135-2-1, 2008)
Gabriel Abánades Joglar (Current, 2025–present)
Anthony Mäkelä (Current, 2025–present, Co-supervisor)
Douglas Molin (Current, 2021–present, Co-supervisor)
Mykola Pochekai (Completed 2024)
Thesis title: Hodge Theory in Combinatorics and Mirror Symmetry
Jiacheng Xia (Completed 2021, Co-supervisor)
Thesis title: Some Cases of Kudla’s Modularity Conjecture for Unitary Shimura Varieties
Manh Hung Tran (Completed 2020)
Thesis title: The density of rational points and invariants of genus one curves
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.