M. A. Cataldo

Geometry and Topology · 2000–2019

A researcher in the Science corpus: 9 papers; trusts 18 researchers and is trusted by 20 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 36 citations into it; #777 of 7,422 by trust here, #714 by citations
• Mathematical Physics — 32 citations into it; #883 of 8,562 by trust here, #789 by citations
• Discrete Mathematics and Combinatorics — 10 citations into it
• Computational Theory and Mathematics — 8 citations into it; #10,046 of 12,182 by trust here, #8,294 by citations
• Algebra and Number Theory — 6 citations into it; #645 of 2,864 by trust here, #639 by citations
• Statistical and Nonlinear Physics — 5 citations into it

Whom M. A. Cataldo trusts overall

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

1. L. Migliorini
2. E. Markman
3. Mark D. Haiman
4. N. Châu
5. Tamás Hausel
6. B. Ngô
7. Sylvain E. Cappell
8. T. Mochizuki
9. Alexandru Dimca
10. L. Goettsche

Who trusts M. A. Cataldo overall

1. L. Migliorini
2. Claire Voisin
3. Tamás Hausel
4. T. Mochizuki
5. D. Arapura
6. Davesh Maulik
7. L. Fu
8. Sylvain E. Cappell
9. Geordie Williamson
10. Charles Vial

Papers from M. A. Cataldo's perspective

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

1. The Hodge theory of algebraic maps
2. Sheaves in Topology
3. Mixed Hodge Structures
4. Mixed Hodge polynomials of character varieties
5. Mixed Hodge structures
6. Fibration de Hitchin et endoscopie
7. HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
8. Perverse sheaves on real loop Grassmannians
9. Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces
10. Hilbert schemes, polygraphs and the Macdonald positivity conjecture

Their papers

• The perverse filtration and the Lefschetz Hyperplane Theorem (2008) — 78 citations
• Hitchin fibrations, abelian surfaces, and the P=W conjecture (2019) — 54 citations
• The combinatorics and topology of proper toric maps (2014) — 51 citations
• Topology of Hitchin systems and Hodge theory of character varieties (2010) — 188 citations
• The decomposition theorem, perverse sheaves and the topology of algebraic maps (2007) — 245 citations
• The Hodge theory of algebraic maps (2003) — 185 citations
• The Chow motive of semismall resolutions (2002) — 58 citations
• The Hard Lefschetz Theorem and the topology of semismall maps (2000) — 114 citations
• The Chow Groups and the Motive of the Hilbert Scheme of Points on a Surface (2000) — 111 citations