Robin de Jong
Associate Professor
- Name
- Dr. R.S. de Jong
- Telephone
- 071 5274829
- rdejong@math.leidenuniv.nl
- ORCID iD
- 0000-0002-6264-9994
Associate Professor
- Faculty of Science
- MI
- Algebra, Geometry & Number Theory
- Bloch S., Jong R.S. de & Sertöz E.C. (2024), Computing heights via limits of Hodge structures, Experimental Mathematics 33(4): 547-558.
- Jong R.S. de & Shokrieh F. (2024), Jumps in the height of the Ceresa cycle, Journal of Differential Geometry 126(1): 169-214.
- Botero A.M., Burgos G.J.I., Holmes D.S.T. & Jong R.S. de (2024), Rings of Siegel–Jacobi forms of bounded relative index are not finitely generated, Duke Mathematical Journal 173(12): 2315-2396.
- Bloch S., Jong R.S. de & Sertöz E.C. (2023), Heights on curves and limits of Hodge structures, Journal of the London Mathematical Society 108(1): 340-361.
- Jong R.S. de & Lugt S. van der (2023), Rings of tautological forms on moduli spaces of curves, Expositiones Mathematicae 41(3): 531-565.
- Jong R.S. de & Shokrieh F. (2023), Tropical moments of tropical Jacobians, Canadian Journal of Mathematics 75(4): 1045-1075.
- Botero A., Burgos Gil J.I., Holmes D.S.T. & Jong R.S. de (2022), Chern-Weil and Hilbert-Samuel formulae for singular Hermitian line bundles, Documenta Mathematica 27: 2563-2623.
- Jong R. de, Geer G. van der, Schoof R. & Top J. (2022), In Memoriam Bas Edixhoven (1962–2022) : genereus, optimistisch en betrokken, Nieuw Archief voor Wiskunde 23(4): 202-208.
- Jong R.S. de & Shokrieh F. (2022), Metric graphs, cross ratios, and Rayleigh’s laws, Rocky Mountain Journal of Mathematics 52(4): 1403-1422.
- Jong R.S. de & Shokrieh F. (2022), Faltings height and Néron–Tate height of a theta divisor, Compositio Mathematica 158(1): 1-32.
- Jong R.S. de (2020), Frobenius’ theta function and Arakelov invariants in genus three, Pure and Applied Mathematics Quarterly 16(5): 1387-1418.
- Jong R.S. de & Jespers M. (2020), Chern–Weil theory for line bundles with the family Arakelov metric, Michigan Mathematical Journal 69(1): 3-40.
- Jong R.S. de (2019), Faltings delta-invariant and semistable degeneration, Journal of Differential Geometry 111(2): 241-301.
- Jong R.S. de, Holmes D.S.T. & Burgos Gil J.I. (2019), Positivity of the height jump divisor , International Mathematics Research Notices 2019(7): 2044–2068.
- Jong R.S. de (2018), On the height of Gross-Schoen cycles in genus three, Research in Number Theory 4: 38.
- Jong R.S. de (2018), Néron-Tate heights of cycles on jacobians, Journal of algebraic geometry 27: 339--381.
- Burgos Gil J.I., Holmes D. & Jong R.S. de (2018), Singularities of the biextension metric for families of abelian varieties, Forum of Mathematics, Sigma 6: e12.
- Biesel O.D., Holmes D.S.T. & Jong R.S. de (2017), Néron models and the height jump divisor, Transactions of the American Mathematical Society 369(12): 8685-8723.
- Jong R.S. de (2016), Torus bundles and 2-forms on the universal family of Riemann surfaces. In: Papadopoulos A. (Ed.), Handbook of Teichmüller theory. Vol. VI no. 27: European Mathematical Society. 195-227.
- Holmes D.S.T. & Jong R.S. de (2015), Asymptotics of the Néron height pairing, Mathematical Research Letters 22(5): 1337-1371.
- Jong R.S. de (2015), Point-like limit of the hyperelliptic Zhang-Kawazumi invariant, Pure and Applied Mathematics Quarterly 11(4): 633-653.
- Jong R.S. de (2014), Asymptotic behavior of the Kawazumi-Zhang invariant for degenerating Riemann surfaces, Asian Journal of Mathematics 18(3): 507-523.
- Jong R.S. de & Müller J.S. (2014), Canonical heights and division polynomials, Mathematical Proceedings of the Cambridge Philosophical Society 157(2): 357-373.
- Jong R.S. de (2014), Normal functions and the height of Gross-Schoen cycles, Nagoya Mathematical Journal 214: 53-77.
- Jong R.S. de (2013), Second variation of Zhang's λ-invariant on the moduli space of curves, American Journal of Mathematics 135(1): 275--290.
- Faber C., Farkas G. & Jong R.S. de (2012), Geometry and Arithmetic. EMS Series of Congress Reports: EMS Publishing House.
- Jong R.S. de (2012), Local heights on Galois covers of the projective line, Acta Arithmetica 152: 51-70.
- Faber C., Farkas G. & Jong R.S. de (Eds.) (2012), Geometry and Arithmetic. EMS Series of Congress Reports. Espenhain, Germany: EMS Publishing House.
- Jong R.S. de (2012), Special values of canonical Green's functions, Mathematische Zeitschrift 274(1): 199-208.
- Jong R.S. de & Edixhoven S.J. (2011), Bounds for Arakelov invariants of modular curves. In: Couveignes J.-M. & Edixhoven S.J. (Eds.), Computational Aspects of Modular Forms and Galois Representations: Princeton University Press.
- Jong R.S. de (2011), One half log discriminant and division polynomials, Archiv der Mathematik 97: 251-257.
- Jong R.S. de & Edixhoven S.J. (2011), Short Introduction to heights and Arakelov theory. In: Edixhoven S.J. & Couveignes J.-M. (Eds.), Computational Aspects of Modular Forms and Galois Representations: Princeton University Press.
- Jong R.S. de & Edixhoven S.J. (2011), Applying Arakelov Theory. In: Couveignes J.-M. & Edixhoven S.J. (Eds.), Computational Aspects of Modular Forms and Galois Representations: Princeton University Press.
- Jong R.S. de (2011), Symmetric roots and admissible pairing, Transactions of the American Mathematical Society 2011(363): 4263-4283.
- Jong R.S. de & Rémond G. (2011), Conjecture de Shafarevitch effective pour les revêtements cycliques, Algebra & Number Theory 5(8): 1133-1143.
- Jong R.S. de (2010), Theta functions on the theta divisor, Rocky Mountain Journal of Mathematics 40(1): 155-176.
- Edixhoven S.J., Jong R.S. de & Schepers J. (2010), Covers of surfaces with fixed branch locus, International Journal of Mathematics 21: 859-874.
- Jong R.S. de (2010), Admissible constants for genus 2 curves, Bulletin of the London Mathematical Society 42(3): 405-411.
- Jong R.S. de (2009), Local invariants attached to Weierstrass points, Manuscripta Mathematica 129: 273-292.
- Jong R.S. de (2008), Gauss map on the theta divisor and Green's functions. Edixhoven S.J., Geer G. van der & Moonen B. (Eds.), Modular Forms on Schiermonnikoog. : Cambridge University Press.
- Jong R.S. de (2007), Explicit Mumford isomorphism for hyperelliptic curves, Journal of Pure and Applied Algebra 208(1): 1-14.
- Jong R.S. de (2005), Faltings' delta-invariant of a hyperelliptic Riemann surface, Number Fields and Function Fields - Two Parallel Worlds. : Birkhuser Verlag.
- Jong R.S. de (2005), Arakelov invariants of Riemann surfaces, Documenta Mathematica 10: 311-329.