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Preprints
Publications in journals
Contributions to books
Books edited
Other writings

Preprints:

• Canonical local heights and Berkovich skeleta (joint with Farbod Shokrieh). arxiv

Publications in journals:

• Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated (joint with Ana Botero, José Burgos Gil and David Holmes).
  To appear in Duke Math. Journal. arxiv | journal
• Jumps in the height of the Ceresa cycle (joint with Farbod Shokrieh).
  Jnl. Differential Geom. (2024), 169--214. arxiv | journal
• Rings of tautological forms on moduli spaces of curves (joint with Stefan van der Lugt).
  Expo. Math. (2023), 531--565. arxiv | journal
• Computing heights via limits of Hodge structures (joint with Spencer Bloch and Emre Sertöz).
  Experimental Math. (2023) arxiv | journal
• Heights on curves and limits of Hodge structures (joint with Spencer Bloch and Emre Sertöz).
  J. London Math. Soc. 108 (2023), 340--361. arxiv | journal
• Chern-Weil and Hilbert-Samuel formulae for singular hermitian line bundles (joint with Ana Botero, José Burgos Gil and David Holmes).
  Doc. Math. 27 (2022), 2563-2623. arxiv | journal
• Tropical moments of tropical Jacobians (joint with Farbod Shokrieh).
  Canadian Jnl. Math. (2022), 1--31. arxiv | journal
• Metric graphs, cross ratios, and Rayleigh's laws (joint with Farbod Shokrieh).
  Rocky Mountain Jnl. Math. 52 (2022), no. 4, 1403--1422. arxiv | journal
• Faltings height and Néron-Tate height of a theta divisor (joint with Farbod Shokrieh).
  Compositio Math. 158 (2022), no.1, 1--32. arxiv | journal
• Frobenius' theta function and Arakelov invariants in genus three.
  Pure and Applied Math. Quarterly 16 (2020), no.5, 1387--1418. arxiv | journal
• Chern-Weil theory for line bundles with the family Arakelov metric (joint with Michiel Jespers).
  Michigan Math. J. 69 (2020), no. 1, 3--40. arxiv | journal
• Faltings delta-invariant and semistable degeneration.
  Jnl. Differential Geom. 111 (2019), 241--301. arxiv | journal
• On the height of Gross-Schoen cycles in genus three.
  Research in Number Theory 4:38 (2018). arxiv | journal
• Singularities of the biextension metric for families of abelian varieties (joint with José Burgos Gil and David Holmes).
  Forum Math. Sigma 6, e12 (2018). arxiv | journal
• Néron-Tate heights of cycles on jacobians.
  J. Alg. Geom. 27 (2018), 339--381. arxiv | journal
• Positivity of the height jump divisor (joint with José Burgos Gil and David Holmes).
  IMRN, rnx169, doi.org/10.1093/imrn/rnx169 (2017). arxiv | journal
• Néron models and the height jump divisor (joint with Owen Biesel and David Holmes).
  Trans. AMS 369 (2017), 8685--8723. arxiv | journal
• Point-like limit of the hyperelliptic Zhang-Kawazumi invariant.
  Pure Appl. Math. Q. 11 (2015), 633--653. arxiv | journal
• Asymptotics of the Néron height pairing (joint with David Holmes).
  Math. Res. Lett. 22 (2015), 1337--1371. arxiv | journal
• Canonical heights and division polynomials (joint with J. Steffen Müller).
  Math. Proc. Camb. Phil. Soc. 157 (2014), 357--373. arxiv | journal
• Asymptotic behavior of the Kawazumi-Zhang invariant for degenerating Riemann surfaces.
  Asian Jnl. Math. 18 (2014), 507--524. arxiv | journal
• Normal functions and the height of Gross-Schoen cycles.
  Nagoya Math. Jnl. 213 (2014), 53--77. arxiv | journal
• Second variation of Zhang's λ-invariant on the moduli space of curves.
  American Jnl. Math. 135 (2013), 275--290. arxiv | journal
• Special values of canonical Green's functions.
  Math. Z. 274 (2013), 199--208. arxiv | journal
• Conjecture de Shafarevitch effective pour les revêtements cycliques (joint with Gaël Rémond).
  Algebra and Number Theory 5 (2011), 1133--1143. journal
• Local heights on Galois covers of the projective line.
  Acta Arithm. 152 (2012), 51--70. arxiv | journal
• One half log discriminant and division polynomials.
  Archiv Math. 97 (2011), 251--257. arxiv | journal
• Symmetric roots and admissible pairing.
  Trans. AMS 363 (2011), 4263--4283. arxiv | journal
• Admissible constants for genus 2 curves.
  Bull. London Math. Soc. 42 (2010), 405--411. arxiv | journal
• Covers of surfaces with fixed branch locus (joint with Bas Edixhoven and Jan Schepers).
  Int. Jnl. Math. 21 (2010), 859--874. arxiv | journal
• Local invariants attached to Weierstrass points.
  Manuscripta Math. 129 (2009), 273--292. arxiv | journal
• Theta functions on the theta divisor.
  Rocky Mountain Jnl. Math. 40 (2010), 155--176. arxiv | journal
• Explicit Mumford isomorphism for hyperelliptic curves.
  Jnl. Pure Appl. Algebra 208 (2007), 1--14. arxiv | journal
• Arakelov invariants of Riemann surfaces.
  Doc. Math. 10 (2005), 311--329. arxiv | journal
• On the Arakelov theory of elliptic curves.
  l'Ens. Math. 51 (2005), 179--201. arxiv | journal

Contributions to books:

• Torus bundles and 2-forms on the universal family of Riemann surfaces.
  In: A. Papadopoulos (ed.), Handbook of Teichmüller theory. Volume VI. EMS Publishing House 2016. arxiv | book
• Short introduction to heights and Arakelov theory (joint with Bas Edixhoven).
  In: J.-M. Couveignes, B. Edixhoven (eds.), Computational aspects of Modular Forms and Galois Representations. Annals of Mathematics Studies 176, Princeton University Press 2011. arxiv | book
• Applying Arakelov theory (joint with Bas Edixhoven).
  In: J.-M. Couveignes, B. Edixhoven (eds.), Computational aspects of Modular Forms and Galois Representations. Annals of Mathematics Studies 176, Princeton University Press 2011. arxiv | book
• Bounds for Arakelov invariants of modular curves (joint with Bas Edixhoven)
  In: J.-M. Couveignes, B. Edixhoven (eds.), Computational aspects of Modular Forms and Galois Representations. Annals of Mathematics Studies 176, Princeton University Press 2011. arxiv | book
• Gauss map on the theta divisor and Green's functions.
  In: B. Edixhoven, G. van der Geer and B. Moonen (eds.), Modular Forms on Schiermonnikoog. Cambridge University Press 2008. arxiv | book
• Faltings' delta-invariant of a hyperelliptic Riemann surface.
  In: G. van der Geer, B. Moonen, R. Schoof (eds.), Number Fields and Function Fields -- Two Parallel Worlds. Progress in Mathematics vol. 239, Birkhäuser Verlag 2005. arxiv | book

Books edited:

• Geometry and Arithmetic.
  C. Faber, G. Farkas, R. de Jong (eds.), EMS Series of Congress Reports, EMS Publishing House, 2012. book

Other writings:

• In memoriam Bas Edixhoven: Genereus, optimistisch en betrokken.
  (joint with G. van der Geer, R. Schoof and J. Top). Nieuw Archief voor Wiskunde 23 (2022), 201--207. journal
• Explicit Arakelov geometry.
  PhD thesis, University of Amsterdam, December 2004. book