Prof. dr. G.B.M. (Gerard) van der Geer
Faculty of Science
KDV
Visiting address
- Science Park 107
- Room number: F3.06
Postal address
-
Postbus 94248
1090 GE Amsterdam
Contact details
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Publications
2024
van der Geer, G., & Kouvidakis, A. (2024). Effective divisors on projectivized Hodge bundles and modular Forms. Mathematische Nachrichten, 297(3), 1142-1170. https://doi.org/10.1002/MANA.202300098 [details]
2023
- Cléry, F., & van der Geer, G. (2023). Generating Picard modular forms by means of invariant theory. Pure and Applied Mathematics Quarterly, 19(1), 95-147. Article 6. https://doi.org/10.48550/arXiv.2110.00849, https://doi.org/10.4310/PAMQ.2023.V19.N1.A6 [details]
- Cléry, F., & van der Geer, G. (2023). Modular forms via invariant theory. Research in Number Theory, 9( 2), Article 35. https://doi.org/10.1007/s40993-023-00442-0 [details]
2022
- Cléry, F., & van der Geer, G. (2022). Modular Forms of Degree 2 and Curves of Genus 2 in Characteristic 2. International Mathematics Research Notices, Article rnaa239. Advance online publication. https://doi.org/10.1093/imrn/rnaa239 [details]
2021
- van der Geer, G. (2021). The ring of modular forms of degree two in characteristic three. Mathematische Zeitschrift, 349-357. https://doi.org/10.1007/s00209-020-02621-6 [details]
- van der Geer, G. B. M. (Ed.) (2021). EMS MONOGRAPHS IN MATHEMATICS (EMM).
- van der Geer, G., & Looijenga, E. (2021). Lifting Chern classes by means of Ekedahl-Oort strata. Tunisian Journal of Mathematics, 3(3), 469-480. https://doi.org/10.48550/arXiv.1912.09687, https://doi.org/10.2140/tunis.2021.3.469 [details]
2020
- Cléry, F., Faber, C., & van der Geer, G. (2020). Concomitants of ternary quartics and vector-valued Siegel and Teichmüller modular forms of genus three. Selecta Mathematica, New Series, 26(4), Article 55. https://doi.org/10.1007/s00029-020-00581-7 [details]
2019
- Cléry, F., Faber, C., & van der Geer, G. (2019). Covariants of binary sextics and modular forms of degree 2 with character. Mathematics of Computation, 88(319), 2423-2441. https://doi.org/10.1090/mcom/3412 [details]
2018
- van der Geer, G. (2018). Exploring modular forms and the cohomology of local systems on moduli spaces by counting points. In L. Ji, & S-T. Yau (Eds.), Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau Manifolds & Picard-Fuchs Equations (pp. 81-110). (Advanced Lectures in Mathematics; Vol. 42). International Press of Boston, Inc.. [details]
2017
- Cléry, F., Faber, C., & van der Geer, G. (2017). Covariants of binary sextics and vector-valued Siegel modular forms of genus two. Mathematische Annalen, 369(3-4), 1649–1669. https://doi.org/10.1007/s00208-016-1510-2 [details]
- van der Geer, G., & Kouvidakis, A. (2017). The Cycle Classes of Divisorial Maroni Loci. International Mathematics Research Notices, 2017(11), 3463–3509. https://doi.org/10.1093/imrn/rnw133 [details]
2016
- van der Geer, G. (2016). A Stratification on the Moduli of K3 Surfaces in Positive Characteristic. In W. Ballmann, C. Blohmann, G. Faltings, P. Teichner, & D. Zagier (Eds.), Arbeitstagung Bonn 2013: In Memory of Friedrich Hirzebruch (pp. 387-403). (Progress in Mathematics; Vol. 319). Birkhäuser. https://doi.org/10.1007/978-3-319-43648-7_14 [details]
- van der Geer, G., & Kouvidakis, A. (2016). Divisors on Hurwitz Spaces: An Appendix to 'The Cycle Classes of Divisorial Maroni Loci'. Moscow Mathematical Journal, 16(4), 767–774. http://www.mathjournals.org/mmj/2016-016-004/2016-016-004-011.html [details]
2015
- Cléry, F., & van der Geer, G. (2015). Constructing vector-valued Siegel modular forms from scalar-valued Siegel modular forms. Pure and Applied Mathematics Quarterly, 11(1), 21-47. https://doi.org/10.4310/PAMQ.2015.v11.n1.a2 [details]
- Cléry, F., van der Geer, G., & Grushevsky, S. (2015). Siegel modular forms of genus 2 and level 2. International Journal of Mathematics, 26(05), Article 1550034. https://doi.org/10.1142/S0129167X15500342 [details]
- Ekedahl, T., & van der Geer, G. (2015). Cycle classes on the moduli of K3 surfaces in positive characteristic. Selecta Mathematica-New Series, 21(1), 245-291. https://doi.org/10.1007/s00029-014-0156-8 [details]
- van der Geer, G. (2015). Counting curves over finite fields. Finite fields and their applications, 32, 207-232. https://doi.org/10.1016/j.ffa.2014.09.008 [details]
2014
- Bergström, J., Faber, C., & van der Geer, G. (2014). Siegel modular forms of degree three and the cohomology of local systems. Selecta Mathematica-New Series, 20(1), 83-124. https://doi.org/10.1007/s00029-013-0118-6 [details]
2013
- Cléry, F., & van der Geer, G. (2013). Generators for modules of vector-valued Picard modular forms. Nagoya Mathematical Journal, 212, 19-57. Advance online publication. https://doi.org/10.1215/00277630-2324006 [details]
- van der Geer, G. (2013). The cohomology of the moduli space of Abelian varieties. In G. Farkas, & I. Morrison (Eds.), The handbook of moduli. - Volume 1 (pp. 415-458). (Advanced Lectures in Mathematics; No. 24). International Press. http://www.maa.org/publications/maa-reviews/handbook-of-moduli-volume-i [details]
- van der Geer, G., & Katsura, T. (2013). Relations between some invariants of algebraic varieties in positive characteristic. Rendiconti del Circolo Matematico di Palermo, 62(1), 111-125. https://doi.org/10.1007/s12215-013-0112-z [details]
2012
- Kouvidakis, A., & van der Geer, G. (2012). The class of a Hurwitz divisor on the moduli of curves of even genus. Asian Journal of Mathematics, 16(4), 787-806. https://doi.org/10.4310/AJM.2012.v16.n4.a9 [details]
- van der Geer, G., & Kouvidakis, A. (2012). Rational correspondences between moduli spaces of curves defined by Hurwitz spaces. Journal of Pure and Applied Algebra, 216(4), 876-893. https://doi.org/10.1016/j.jpaa.2011.10.017 [details]
2011
- van der Geer, G. (2011). Rank one Eisenstein cohomology of local systems on the moduli space of abelian varieties. Science China mathematics, 54(8), 1621-1634. https://doi.org/10.1007/s11425-010-4159-4 [details]
- van der Geer, G., & Kouvidakis, A. (2011). The Hodge bundle on Hurwitz spaces. Pure and Applied Mathematics Quarterly, 7 (2011)(4), 1297-1307. http://www.math.uoc.gr/~kouvid/Articles/article14.pdf [details]
2010
- van der Geer, G. B. M., & Kouvidakis, A. (2010). A note on Fano surfaces of nodal cubic threefolds. Advanced Studies in Pure Mathematics, 58, 27-45. http://arxiv.org/abs/0902.3877 [details]
- van der Geer, G., & Kouvidakis, A. (2010). The rank-one limit of the Fourier-Mukai transform. Documenta Mathematica, 15, 747-763. http://www.math.uiuc.edu/documenta/vol-15/22.html [details]
2009
- Ekedahl, T., & van der Geer, G. (2009). Cycle classes of the E-O stratification on the moduli of abelian varieties. In Y. Tschinkel, & Y. Zarhin (Eds.), Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. - Vo. 1 (pp. 567-636). (Progress in mathematics; No. 269). Birkhäuser. https://doi.org/10.1007/978-0-8176-4745-2_13 [details]
- van der Geer, G. (2009). Hunting for curves with many points. In Y. M. Chee, C. Li, S. Ling, H. Wang, & C. Xing (Eds.), Coding and Cryptology: Second International Workshop, IWCC 2009, Zhangjiajie, China, June 1-5, 2009 : proceedings (pp. 82-96). (Lecture Notes in Computer Science; Vol. 5557). Springer. https://doi.org/10.1007/978-3-642-01877-0_9 [details]
- van der Geer, G. (2009). The limit of the Fourier-Mukai transform. Oberwolfach Reports, 44, 17-19. http://www.mfo.de/programme/schedule/2009/40/OWR_2009_44.pdf [details]
2008
- Bergström, J., & van der Geer, G. (2008). The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three. Journal of Topology, 1(3), 651-662. https://doi.org/10.1112/jtopol/jtn015 [details]
- Bergström, J., Faber, C., & van der Geer, G. (2008). Siegel modular forms of genus 2 and level 2: Cohomological computations and conjectures. International Mathematics Research Notices, 2008, rnn100. https://doi.org/10.1093/imrn/rnn100 [details]
- Ciliberto, C., & van der Geer, G. (2008). Andreotti-Mayer loci and the Schottky problem. Documenta Mathematica, 13, 453-504. https://www.math.uni-bielefeld.de/documenta/vol-13/14.html [details]
- Edixhoven, B., van der Geer, G., & Moonen, B. (2008). Modular forms. In B. Edixhoven, G. van der Geer, & B. Moonen (Eds.), Modular forms on Schiermonnikoog (pp. 1-12). Cambridge University Press. https://doi.org/10.1017/CBO9780511543371.002 [details]
- van der Geer, G. (2008). Siegel modular forms and their applications. In J. H. Bruinier, G. van der Geer, G. Harder, & D. Zagier (Eds.), The 1-2-3 of modular forms: Lectures at a summer school in Nordfjordeid, Norway (pp. 181-246). (Universitext). Springer. https://doi.org/10.1007/978-3-540-74119-0_3 [details]
- van der Geer, G. (2008). Siegel modular forms of genus 2. Oberwolfach Reports, 5, 263-265. http://www.ems-ph.org/journals/show_pdf.php?issn=1660-8933&vol=5&iss=1&rank=5 [details]
2016
- Faber, C., Farkas, G., & van der Geer, G. (Eds.) (2016). K3 Surfaces and Their Moduli. (Progress in Mathematics ; Vol. 315). Birkhäuser. https://doi.org/10.1007/978-3-319-29959-4 [details]
2014
- Ciliberto, C., & van der Geer, G. (2014). Corrigendum To: "Andreotti-Mayer Loci and the Schottky Problem", cf. Documenta Math. 13 (2008) 398--440. Documenta Mathematica, 19, 993-1001. https://www.math.uni-bielefeld.de/documenta/vol-19/32.html [details]
2010
- Faber, C., van der Geer, G., & Looijenga, E. (2010). Classification of algebraic varieties. (EMS series of congress reports). European Mathematical Society. https://doi.org/10.4171/007 [details]
2008
- Edixhoven, B., van der Geer, G., & Moonen, B. (2008). Modular forms on Schiermonnikoog. Cambridge, UK: Cambridge University Press. [details]
Prize / grant
- van der Geer, G. B. M. (2017). Honorary Doctorate. https://www.su.se/english/about/ceremonies/honorary-doctorates/honorary-doctorates-2017-1.328417
Journal editor
- Duminil-Copin , H. (editor), Kappeler, T. (editor), Seidel , P. (editor) & van der Geer, G. (editor) (2012-2021). Monographs in Mathematics (Journal). http://www.ems-ph.org/qsearch.php?series=emm
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Ancillary activities
No ancillary activities
van der Geer, G., & Kouvidakis, A. (2024). Effective divisors on projectivized Hodge bundles and modular Forms. Mathematische Nachrichten, 297(3), 1142-1170.