David I. Spivak

Mathematical Physics · 2008–2012

A researcher in the Science corpus: 4 papers; trusts 12 researchers and is trusted by 6 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 22 citations into it; #2,261 of 8,562 by trust here, #3,482 by citations
• Geometry and Topology — 17 citations into it; #1,955 of 7,422 by trust here, #3,077 by citations
• Algebra and Number Theory — 13 citations into it; #1,890 of 2,864 by trust here, #2,247 by citations

Whom David I. Spivak trusts overall

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

1. Jacob Lurie
2. Charles Rezk
3. Julia E. Bergner
4. Daniel Dugger
5. André Joyal
6. A. Kuku
7. Bertrand Toën
8. John C. Baez
9. Bernard Badzioch
10. S. Schwede

Who trusts David I. Spivak overall

1. D. Joyce
2. Dennis V. Borisov
3. Daniel Dugger
4. J. Pardon
5. Emily Riehl

Papers from David I. Spivak's perspective

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

1. Quasi-categories and Kan complexes
2. A model category structure on the category of simplicial categories
3. Higher Topos Theory
4. Hypercovers and simplicial presheaves (Mathematical Proceedings of the Cambridge Philosophical Society)
5. Model categories and their localizations
6. Higher Algebraic K-Theory
7. Mapping spaces in Quasi-categories
8. Rigidification of quasi-categories
9. Sheafifiable homotopy model categories (Mathematical Proceedings of the Cambridge Philosophical Society)
10. Every homotopy theory of simplicial algebras admits a proper model

Their papers

• Category Theory Based Solution for the Building Block Replacement Problem in Materials Design (2012) — 48 citations
• Mapping spaces in Quasi-categories (2009) — 96 citations
• Rigidification of quasi-categories (2009) — 75 citations
• Derived smooth manifolds (2008) — 71 citations