Alan L. Carey

Mathematical Physics · 2001–2011

A researcher in the Science corpus: 9 papers; trusts 5 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 31 citations into it; #1,921 of 8,562 by trust here, #927 by citations
• Algebra and Number Theory — 24 citations into it; #794 of 2,864 by trust here, #592 by citations
• Statistical and Nonlinear Physics — 15 citations into it
• Geometry and Topology — 11 citations into it
• Applied Mathematics — 8 citations into it; #4,522 of 7,620 by trust here, #2,480 by citations
• Nuclear and High Energy Physics — 6 citations into it; #4,173 of 6,161 by trust here, #4,734 by citations

Whom Alan L. Carey trusts overall

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

1. J. Phillips
2. Fedor Sukochev
3. David Pask
4. A. Rennie
5. N. Higson
6. E. Witten
7. J. Roe
8. Alain Connes
9. B. Pagter
10. Marcelo Laca

Who trusts Alan L. Carey overall

1. Fedor Sukochev
2. A. Rennie
3. David Pask
4. D. Potapov
5. Nurulla Azamov
6. E. Semenov
7. J. Phillips
8. D. Freed
9. P. Bouwknegt
10. Sergey Neshveyev

Papers from Alan L. Carey's perspective

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

1. Analytic K-Homology
2. KMS states of quasi-free dynamics on Pimsner algebras
3. Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55)
4. The Local Index Formula in Noncommutative Geometry
5. Commutator structure of operator ideals
6. Multiple operator integrals and higher operator derivatives
7. Dimensions and singular traces for spectral triples, with applications to fractals
8. Type II non-commutative geometry. I. Dixmier trace in von Neumann algebras
9. Type III and spectral triples
10. The Hochschild class of the Chern character for semifinite spectral triples

Their papers

• Index Theory for Locally Compact Noncommutative Geometries (2011) — 72 citations
• Twisted cyclic theory, equivariant KK-theory and KMS states (2008) — 62 citations
• Operator Integrals, Spectral Shift, and Spectral Flow (2007) — 109 citations
• The Dixmier trace and asymptotics of zeta functions (2006) — 73 citations
• Dixmier traces and some applications in non-commutative geometry (2006) — 63 citations
• Spectral flow in Fredholm modules, eta invariants and the JLO cocycle (2003) — 64 citations
• The Hochschild class of the Chern character for semifinite spectral triples (2003) — 68 citations
• Spectral flow and Dixmier traces (2002) — 111 citations
• Twisted K-Theory and K-Theory of Bundle Gerbes (2001) — 295 citations