Publications
2020
Scholarly publications
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), [55]. https://doi.org/10.1007/s00029-020-00581-7
2019
Scholarly publications
CHAN, MELODY., FABER, CAREL., GALATIUS, SØREN., & PAYNE, SAM. (2019, Apr 12). The sn-equivariant top weight euler characteristic of mg,n. arXiv. https://www.mendeley.com/catalogue/4b8e3b14-01e9-3981-aef3-58a312e5c245/
Faber, C. F., van der Geer, G., & Cléry, F. (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
https://dspace.library.uu.nl/bitstream/handle/1874/386578/modulesFF.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/386578/modulesFF.pdf?sequence=1
2017
Scholarly publications
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
2016
Scholarly publications
Faber, C. F., Farkas, G., & van der Geer, G. (Eds.) (2016). K3 Surfaces and Their Moduli. (Progress in Mathematics; Vol. 315). Birkhaüser.
2015
Scholarly publications
Faber, C. F., & Pagani, N. (2015). The Class of the Bielliptic Locus in Genus 3. International Mathematics Research Notices, 2015(12), 3943-3961. https://doi.org/10.1093/imrn/rnu057
2014
Scholarly publications
Faber, C., Bergström, J., & van der Geer, G. (2014). Siegel modular forms of degree three and the cohomology of local systems. Selecta Mathematica, 20(1), 83-124. https://doi.org/10.1007/s00029-013-0118-6
2013
Scholarly publications
Faber, C. F. (2013). Tautological algebras of moduli spaces of curves. In B. Farb, R. Hain, & E. Looijienga (Eds.), Moduli Spaces of Riemann Surfaces (pp. 197-217). (IAS/Park City Mathematics Series; No. 20). AMS and IAS/Park City Mathematics Institute.
https://dspace.library.uu.nl/bitstream/handle/1874/290186/faber.jcpB.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/290186/faber.jcpB.pdf?sequence=1
Pandharipande, R., & Faber, C. F. (2013). Tautological and non-tautological cohomology of the moduli space of curves. In G. Farkas, & I. Morrison (Eds.), Handbook of Moduli (pp. 293-330). (Advanced Lectures in Mathematics; No. 24). International Press.
https://dspace.library.uu.nl/bitstream/handle/1874/309768/tnt.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/309768/tnt.pdf?sequence=1
Faber, C. F. (2013). A remark on a conjecture of Hain and Looijenga. Annales de l'Institut Fourier, 61(7), 2745-2750.
2012
Scholarly publications
Faber, C., Farkas, G., & De Jong, R. (Eds.) (2012). Geometry and Arithmetic. (EMS Series of Congress Reports). European Mathematical Society.
Faber, C. F. (2012). Modular forms and the cohomology of moduli spaces. In T. Moriyama (Ed.), Automorphic forms and automorphic L-functions (pp. 129-137). RIMS.
https://dspace.library.uu.nl/bitstream/handle/1874/290274/1826-11.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/290274/1826-11.pdf?sequence=1
2011
Scholarly publications
Faber, C., & Pandharipande, R. (2011). Tautological and non-tautological cohomology of the moduli space of curves. In Handbook of Moduli http://adsabs.harvard.edu/abs/2011arXiv1101.5489F
Faber, C., van der Geer, G. (Ed.), & Looijenga, E. (2011). Classification of algebraic varieties. (EMS series of congress reports ed.) (EMS Series of Congress Reports). European Mathematical Society.
2010
Scholarly publications
Faber, C., Zvonkine, D., & Shadrin, S. (2010). Tautological relations and the r-spin Witten conjecture. Annales scientifiques de l'Ecole Normale Supérieure, 43(4), 621-658.
Faber, C., & Aluffi, P. (2010). Limits of PGL(3)-translates of plane curves, II. Journal of Pure and Applied Algebra, 214(5), 548-564.
Faber, C., & Aluffi, P. (2010). Limits of PGL(3)-translates of plane curves, I. Journal of Pure and Applied Algebra, 214(5), 526-547.
2008
Scholarly publications
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. http://adsabs.harvard.edu/abs/2008arXiv0803.0917B
2005
Scholarly publications
Faber, C., & Pandharipande, R. (2005). Relative maps and tautological classes. Journal of the European Mathematical Society. http://adsabs.harvard.edu/abs/2003math......4485F
Consani, C., & Faber, C. (2005). On the cusp form motives in genus 1 and level 1. https://doi.org/10.2969/aspm/04510297
2004
Scholarly publications
Faber, C., & van der Geer, G. (2004). Sur la cohomologie des systèmes locaux sur les espaces des modules des courbes de genre 2 et des surfaces abéliennes. Comptes Rendus Mathematique. http://adsabs.harvard.edu/abs/2003math......5094F
Faber, C., & van der Geer, G. (2004). Complete subvarieties of moduli spaces and the Prym map. Journal fur die Reine und Angewandte Mathematik. http://adsabs.harvard.edu/abs/2003math......5334F
2003
Scholarly publications
Faber, C., & Pandharipande, R. (2003). Hodge integrals, partition matrices, and the lambda_g conjecture. Annals of Mathematics. http://adsabs.harvard.edu/abs/1999math......8052F
2000
Scholarly publications
Aluffi, P., & Faber, C. (2000). Plane curves with small linear orbits I. Annales de l'Institut Fourier. http://adsabs.harvard.edu/abs/1998math......5020A
Aluffi, P., & Faber, C. (2000). Plane curves with small linear orbits II. International Journal of Mathematics. http://adsabs.harvard.edu/abs/1999math......6131A
Aluffi, P., & Faber, C. (2000). Linear orbits of arbitrary plane curves. Michigan Mathematical Journal. http://adsabs.harvard.edu/abs/1999math.....12092A
Faber, C., & Pandharipande, R. (2000). Logarithmic series and Hodge integrals in the tautological ring (with an appendix by D. Zagier). Michigan Mathematical Journal. http://adsabs.harvard.edu/abs/2000math......2112F
Faber, C., & Pandharipande, R. (2000). Hodge integrals and Gromov-Witten theory. Inventiones Mathematicae, 139(1), 173-199. https://doi.org/10.1007/s002229900028
1999
Scholarly publications
Faber, C. (1999). Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians. In New Trends in Algebraic Geometry http://adsabs.harvard.edu/abs/1997alg.geom..6006F
1996
Scholarly publications
Faber, C. (1996). Intersection-theoretical computations on \Mgbar. In Parameter Spaces http://adsabs.harvard.edu/abs/1995alg.geom..4005F
1993
Scholarly publications
Aluffi, P., & Faber, C. (1993). Linear orbits of smooth plane curves. Journal of Algebraic Geometry. http://adsabs.harvard.edu/abs/1992alg.geom..6001A
Aluffi, P., & Faber, C. (1993). Linear orbits of d-tuples of points in P^1. Journal fur die Reine und Angewandte Mathematik. http://adsabs.harvard.edu/abs/1992alg.geom..5005A
1988
Scholarly publications
Faber, C. (1988). Prym varieties of triple cyclic covers. Mathematische Zeitschrift, 199(1), 61-79. https://doi.org/10.1007/BF01160210