L. Migliorini

Geometry and Topology · 2000–2014

A researcher in the Science corpus: 8 papers; trusts 17 researchers and is trusted by 20 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 28 citations into it; #781 of 7,422 by trust here, #726 by citations
• Mathematical Physics — 25 citations into it; #887 of 8,562 by trust here, #810 by citations
• Discrete Mathematics and Combinatorics — 9 citations into it
• Computational Theory and Mathematics — 8 citations into it; #10,045 of 12,182 by trust here, #8,294 by citations
• Algebra and Number Theory — 5 citations into it; #632 of 2,864 by trust here, #639 by citations

Whom L. Migliorini trusts overall

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

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

Who trusts L. Migliorini overall

1. M. A. Cataldo
2. Claire Voisin
3. Tamás Hausel
4. T. Mochizuki
5. D. Arapura
6. L. Fu
7. Sylvain E. Cappell
8. Geordie Williamson
9. Davesh Maulik
10. Jiang-Hua Lu

Papers from L. Migliorini's perspective

Ordered by how strongly the researchers L. Migliorini 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. HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
5. Mixed Hodge polynomials of character varieties
6. Mixed Hodge structures
7. Fibration de Hitchin et endoscopie
8. Perverse sheaves on real loop Grassmannians
9. Hilbert schemes, polygraphs and the Macdonald positivity conjecture
10. A polytope calculus for semisimple groups

Their papers

• The perverse filtration and the Lefschetz Hyperplane Theorem (2008) — 78 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