Emily Riehl

Mathematical Physics · 2003–2018

A researcher in the Science corpus: 13 papers; trusts 28 researchers and is trusted by 10 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 92 citations into it; #2,268 of 8,562 by trust here, #1,610 by citations
• Geometry and Topology — 84 citations into it; #2,856 of 7,422 by trust here, #1,882 by citations
• Algebra and Number Theory — 47 citations into it; #1,193 of 2,864 by trust here, #766 by citations
• Computational Theory and Mathematics — 15 citations into it; #10,407 of 12,182 by trust here, #8,756 by citations
• Neurology — 11 citations into it; #976 of 1,455 by trust here, #1,322 by citations
• Molecular Biology — 5 citations into it

Whom Emily Riehl trusts overall

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

1. André Joyal
2. Jacob Lurie
3. Dominic R. Verity
4. Julia E. Bergner
5. Jon P. May
6. W. Dwyer
7. Michael Cole
8. Charles Rezk
9. Daniel Dugger
10. Michael Shulman

Who trusts Emily Riehl overall

1. A. Mathew
2. Tomi Pannila
3. Dominic R. Verity
4. Jonathan Brundan
5. S. Ren
6. John Bourke
7. Denis-Charles Cisinski
8. Michael Shulman
9. Jon P. May
10. Alexander P. Ellis

Papers from Emily Riehl's perspective

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

1. Quasi-categories and Kan complexes
2. Model categories and their localizations
3. A model category structure on the category of simplicial categories
4. Simplicial objects in algebraic topology
5. Higher Topos Theory
6. Mixing model structures
7. BASIC CONCEPTS OF ENRICHED CATEGORY THEORY (Elements of ∞-Category Theory)
8. THREE MODELS FOR THE HOMOTOPY THEORY OF HOMOTOPY THEORIES
9. On the Unicity of the Homotopy Theory of Higher Categories
10. Model Categories of Diagram Spectra (Proceedings of the London Mathematical Society)

Their papers

• ∞-Categories for the Working Mathematician (2018)
• Categorical notions of fibration (2018) — 50 citations
• A type theory for synthetic ∞-categories (2017) — 118 citations
• Fibrations and Yoneda's lemma in an ∞-cosmos (2017) — 57 citations
• Basic concepts of enriched category theory (2014) — 52 citations
• Categorical Homotopy Theory (2014) — 96 citations
• Homotopy coherent adjunctions and the formal theory of monads (2013) — 114 citations
• Six model structures for DG-modules over DGAs: model category theory in homological action (2013) — 66 citations
• The 2-category theory of quasi-categories (2013) — 64 citations
• The theory and practice of Reedy categories (2013) — 97 citations
• A LEISURELY INTRODUCTION TO SIMPLICIAL SETS (2011) — 37 citations
• Algebraic model structures (2009) — 63 citations
• A sharp bound for the degree of proper monomial mappings between balls (2003) — 53 citations