Charles Rezk

Mathematical Physics · 2000–2014

A researcher in the Science corpus: 11 papers; trusts 26 researchers and is trusted by 27 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 76 citations into it; #533 of 8,562 by trust here, #831 by citations
• Geometry and Topology — 73 citations into it; #524 of 7,422 by trust here, #825 by citations
• Algebra and Number Theory — 45 citations into it; #309 of 2,864 by trust here, #405 by citations
• Statistical and Nonlinear Physics — 6 citations into it
• Computational Theory and Mathematics — 5 citations into it

Whom Charles Rezk trusts overall

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

1. Jacob Lurie
2. M. Hopkins
3. S. Schwede
4. Bernard Badzioch
5. Tom Leinster
6. André Joyal
7. C. Berger
8. N. Kuhn
9. N. Strickland
10. Julia E. Bergner

Who trusts Charles Rezk overall

1. C. Berger
2. Carlos Simpson
3. David I. Spivak
4. Emily Riehl
5. W. Dwyer
6. Bertrand Toën
7. B. Keller
8. Michael Shulman
9. Ieke Moerdijk
10. Andrew Justin Blumberg

Papers from Charles Rezk's perspective

Ordered by how strongly the researchers Charles Rezk 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. Higher Topos Theory
4. GENERALIZED GROUP CHARACTERS AND COMPLEX ORIENTED COHOMOLOGY THEORIES
5. Elliptic spectra, the Witten genus and the theorem of the cube
6. Mixing model structures
7. Parametrized homotopy theory
8. Derived Algebraic Geometry III: Commutative Algebra
9. A Cellular Nerve for Higher Categories
10. Quasi-categories vs Segal spaces

Their papers

• An ∞‐categorical approach to R‐line bundles, R‐module Thom spectra, and twisted R‐homology (2014) — 101 citations
• Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory (2014) — 81 citations
• On Hopkins’ Picard groups for the prime 3 and chromatic level 2 (2012) — 47 citations
• A cartesian presentation of weak n–categories (2009) — 174 citations
• The congruence criterion for power operations in Morava $E$-theory (2009) — 60 citations
• Topological Modular Forms of Level 3 (2008) — 87 citations
• Units of ring spectra and Thom spectra (2008) — 67 citations
• A resolution of the K(2)-local sphere at the prime 3 (2005) — 134 citations
• The units of a ring spectrum and a logarithmic cohomology operation (2004) — 71 citations
• Simplicial structures on model categories and functors (2001) — 84 citations
• Every homotopy theory of simplicial algebras admits a proper model (2000) — 59 citations