Carel Faber

Geometry and Topology · 2000–2011

A researcher in the Science corpus: 6 papers; trusts 8 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 13 citations into it; #1,436 of 7,422 by trust here, #1,030 by citations
• Mathematical Physics — 8 citations into it; #1,656 of 8,562 by trust here, #1,178 by citations
• Algebra and Number Theory — 7 citations into it

Whom Carel Faber trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. R. Pandharipande
2. G. Harder
3. Gerard van der Geer
4. Jan H. Bruinier
5. Tamotsu Ikeda
6. A. Okounkov

Who trusts Carel Faber overall

1. R. Pandharipande
2. Davesh Maulik
3. Ravi Vakil
4. Darren B. Glass
5. F. Janda
6. A. Okounkov
7. T. Graber
8. R. Pries
9. Aaron Pixton
10. Dan Erik Petersen

Papers from Carel Faber's perspective

Ordered by how strongly the researchers Carel Faber trusts endorse each paper. Same corpus, a different order for every researcher.

1. Generators for the tautological algebra of the moduli space of curves
2. Algebraic cobordism revisited
3. Weil-Petersson volumes and intersection theory on the moduli space of curves (Journal of The American Mathematical Society)
4. Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture
5. Relative maps and tautological classes
6. Complete subvarieties of moduli spaces and the Prym map
7. Constructions of nontautological classes on moduli spaces of curves
8. Hodge integrals, partition matrices, and the λ g conjecture
9. Algebraic Geometry (Wiley Encyclopedia of Computer Science and Engineering)
10. Geometric Methods for Improving the Upper Bounds on the Number of Rational Points on Algebraic Curves over Finite Fields

Their papers

• Tautological and non-tautological cohomology of the moduli space of curves (2011) — 55 citations
• Siegel modular forms of degree three and the cohomology of local systems (2011) — 71 citations
• Complete subvarieties of moduli spaces and the Prym map (2003) — 65 citations
• Relative maps and tautological classes (2003) — 216 citations
• Hodge integrals, partition matrices, and the λ g conjecture (2003) — 90 citations
• Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier. (2000) — 137 citations