Michael Shulman

Mathematical Physics · 2006–2017

A researcher in the Science corpus: 15 papers; trusts 39 researchers and is trusted by 22 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 86 citations into it; #811 of 8,562 by trust here, #1,159 by citations
• Geometry and Topology — 81 citations into it; #1,065 of 7,422 by trust here, #1,083 by citations
• Algebra and Number Theory — 39 citations into it; #812 of 2,864 by trust here, #698 by citations
• Computational Theory and Mathematics — 24 citations into it; #4,206 of 12,182 by trust here, #10,901 by citations
• Artificial Intelligence — 14 citations into it; #13,895 of 35,345 by trust here, #27,551 by citations
• Molecular Biology — 5 citations into it; #16,403 of 17,773 by trust here, #16,854 by citations
• Neurology — 5 citations into it; #261 of 1,455 by trust here, #1,187 by citations
• Pure Mathematics — 5 citations into it

Whom Michael Shulman trusts overall

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

1. André Joyal
2. Jon P. May
3. Stephen Lack
4. C. Berger
5. Tom Leinster
6. S. Schwede
7. Charles Rezk
8. Jacob Lurie
9. Ieke Moerdijk
10. Dominic R. Verity

Who trusts Michael Shulman overall

1. Dominic R. Verity
2. Denis-Charles Cisinski
3. Emily Riehl
4. Ilan Barnea
5. Kathleen Ponto
6. R. Haugseng
7. Nicola Gambino
8. A. Henriques
9. Christopher J. Schommer-Pries
10. Yonatan Harpaz

Papers from Michael Shulman's perspective

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

1. Quasi-categories and Kan complexes
2. Model Categories of Diagram Spectra (Proceedings of the London Mathematical Society)
3. A model category structure on the category of simplicial categories
4. Model categories and their localizations
5. The Additivity of Traces in Triangulated Categories
6. Mixing model structures
7. Equivalences of monoidal model categories
8. Higher Topos Theory
9. BASIC CONCEPTS OF ENRICHED CATEGORY THEORY (Elements of ∞-Category Theory)
10. Isomorphisms between left and right adjoints (Theory and Applications of Categories)

Their papers

• Set theory for category theory (2008) — 49 citations
• Magnitude homology of enriched categories and metric spaces (2017) — 61 citations
• A type theory for synthetic ∞-categories (2017) — 118 citations
• Enriched categories as a free cocompletion (2013) — 63 citations
• The univalence axiom for elegant Reedy presheaves (2013) — 64 citations
• Univalent categories and the Rezk completion (2013) — 123 citations
• Enhanced 2-categories and limits for lax morphisms (2011) — 46 citations
• Traces in symmetric monoidal categories (2011) — 50 citations
• Constructing symmetric monoidal bicategories (2010) — 76 citations
• A unified framework for generalized multicategories (2009) — 95 citations
• Shadows and traces in bicategories (2009) — 53 citations
• Framed Bicategories and Monoidal Fibrations (2007) — 223 citations
• Comparing composites of left and right derived functors (2007) — 62 citations
• HOMOTOPY LIMITS AND COLIMITS AND ENRICHED HOMOTOPY THEORY (2006) — 92 citations
• Lectures on N-Categories and Cohomology (2006) — 106 citations