M. Hopkins

Mathematical Physics · with Ando · 2000–2016

A researcher in the Science corpus: 19 papers; trusts 49 researchers and is trusted by 54 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 87 citations into it; #230 of 8,562 by trust here, #164 by citations
• Geometry and Topology — 71 citations into it; #218 of 7,422 by trust here, #166 by citations
• Algebra and Number Theory — 46 citations into it; #306 of 2,864 by trust here, #299 by citations
• Atomic and Molecular Physics, and Optics — 20 citations into it; #3,976 of 7,135 by trust here, #5,460 by citations
• Statistical and Nonlinear Physics — 13 citations into it; #8,294 of 10,127 by trust here, #7,747 by citations
• Computational Theory and Mathematics — 12 citations into it
• Nuclear and High Energy Physics — 12 citations into it; #2,397 of 6,161 by trust here, #3,299 by citations
• Condensed Matter Physics — 11 citations into it

Whom M. Hopkins trusts overall

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

1. M. Ando
2. Michael A. Mandell
3. N. Strickland
4. Alan Robinson
5. D. Freed
6. Vladimir A. Smirnov
7. Michael Francis Atiyah
8. Jon P. May
9. Alexei Y. Kitaev
10. W. Dwyer

Who trusts M. Hopkins overall

1. D. Freed
2. Charles Rezk
3. M. Hill
4. Mark Behrens
5. Andrew Justin Blumberg
6. A. Mathew
7. G. Moore
8. Jacob Lurie
9. M. Ando
10. O. Rondigs

Papers from M. Hopkins's perspective

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

1. Model categories and their localizations
2. Higher Topos Theory
3. Twisted K-theory
4. GENERALIZED GROUP CHARACTERS AND COMPLEX ORIENTED COHOMOLOGY THEORIES
5. Anyons in an exactly solved model and beyond
6. Equivalences of monoidal model categories
7. Elliptic spectra, the Witten genus and the theorem of the cube
8. On Ramond-Ramond fields and K-theory
9. Mixing model structures
10. Parametrized homotopy theory

Their papers

• An ∞‐categorical approach to R‐line bundles, R‐module Thom spectra, and twisted R‐homology (2014) — 101 citations
• Reflection positivity and invertible topological phases (2016) — 400 citations
• Equivariant symmetric monoidal structures (2016) — 51 citations
• The slice spectral sequence for the $C_{4}$ analog of real $K$-theory (2015) — 54 citations
• Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory (2014) — 81 citations
• Splitting Varieties for Triple Massey Products (2012) — 71 citations
• Loop groups and twisted K-theory III (2011) — 59 citations
• On the nonexistence of elements of Kervaire invariant one (2009) — 523 citations
• Units of ring spectra and Thom spectra (2008) — 67 citations
• Loop groups and twisted K‐theory I (2007) — 158 citations
• Structured Ring Spectra: Moduli spaces of commutative ring spectra (2004) — 234 citations
• Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups (2004) — 173 citations
• The sigma orientation is an H∞ map (2004) — 77 citations
• Quadratic functions in geometry, topology, and M-theory (2002) — 428 citations
• Twisted equivariant K‐theory with complex coefficients (2002) — 137 citations
• Algebraic topology and modular forms (2002) — 147 citations
• Elliptic spectra, the Witten genus and the theorem of the cube (2001) — 180 citations
• On Ramond-Ramond fields and K-theory (2000) — 143 citations
• GENERALIZED GROUP CHARACTERS AND COMPLEX ORIENTED COHOMOLOGY THEORIES (2000) — 218 citations