Carlos Simpson

Geometry and Topology · 2006–2010

A researcher in the Science corpus: 6 papers; trusts 64 researchers and is trusted by 13 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 109 citations into it; #2,147 of 7,422 by trust here, #1,803 by citations
• Mathematical Physics — 92 citations into it; #2,464 of 8,562 by trust here, #2,200 by citations
• Algebra and Number Theory — 38 citations into it; #1,189 of 2,864 by trust here, #1,302 by citations
• Statistical and Nonlinear Physics — 16 citations into it
• Applied Mathematics — 11 citations into it
• Computational Theory and Mathematics — 9 citations into it
• Discrete Mathematics and Combinatorics — 8 citations into it

Whom Carlos Simpson trusts overall

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

1. Julia E. Bergner
2. Jacob Lurie
3. Niels Borne
4. T. Mochizuki
5. André Joyal
6. Martin Olsson
7. Charles Cadman
8. C. Sabbah
9. Sharon Hollander
10. W. Crawley‐Boevey

Who trusts Carlos Simpson overall

1. Bertrand Toën
2. Clark Barwick
3. David Ben-Zvi
4. Christopher J. Schommer-Pries
5. Enrique Artal Bartolo
6. Brian Collier
7. T. Mochizuki
8. D. Greb
9. Denis-Charles Cisinski
10. Marco Robalo

Papers from Carlos Simpson's perspective

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

1. Model categories and their localizations
2. Quasi-categories and Kan complexes
3. A model category structure on the category of simplicial categories
4. Higher Topos Theory
5. A Cellular Nerve for Higher Categories
6. A relation between the parabolic Chern characters of the de Rham bundles
7. Gromov-Witten theory of Deligne-Mumford stacks
8. Rigidification of algebras over multi-sorted theories
9. The six operations for sheaves on Artin stacks I: Finite coefficients
10. Equivalences of monoidal model categories

Their papers

• Local Systems on Proper Algebraic V -manifolds (2010) — 55 citations
• Homotopy Theory of Higher Categories: THE MODEL STRUCTURE (2010) — 117 citations
• Iterated destabilizing modifications for vector bundles with connection (2008) — 51 citations
• On the classification of rank-two representations of quasiprojective fundamental groups (2007) — 76 citations
• Katz's middle convolution algorithm (2006) — 53 citations
• A relation between the parabolic Chern characters of the de Rham bundles (2006) — 57 citations