Michael W. Davis

Geometry and Topology · with Januszkiewicz · 2000–2025

A researcher in the Science corpus: 8 papers; trusts 28 researchers and is trusted by 22 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 31 citations into it; #1,048 of 7,422 by trust here, #993 by citations
• Mathematical Physics — 26 citations into it; #1,756 of 8,562 by trust here, #1,658 by citations
• Discrete Mathematics and Combinatorics — 15 citations into it; #833 of 2,017 by trust here, #386 by citations
• Applied Mathematics — 9 citations into it; #3,731 of 7,620 by trust here, #4,482 by citations
• Computational Theory and Mathematics — 6 citations into it

Whom Michael W. Davis trusts overall

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

1. W. Lück
2. Curtis T. McMullen
3. G. Perelman
4. I. Leary
5. Noel Brady
6. Graham A. Niblo
7. Tadeusz Januszkiewicz
8. B. Okun
9. Frédéric Haglund
10. Brita Nucinkis

Who trusts Michael W. Davis overall

1. Frédéric Haglund
2. Alexander Postnikov
3. I. Leary
4. A. Henriques
5. B. Okun
6. M. Bestvina
7. Tadeusz Januszkiewicz
8. Ruth Charney
9. Daniel T. Wise
10. Brita Nucinkis

Papers from Michael W. Davis's perspective

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

1. Nonpositive Curvature and Reflection Groups
2. Right-angled Artin groups are commensurable with right-angled Coxeter groups
3. The domino problem for hyperbolic groups
4. Special Cube Complexes (The Structure of Groups with a Quasiconvex Hierarchy)
5. L2-Invariants: Theory and Applications to Geometry and K-Theory
6. Some groups of type VF
7. On Algebraic and Geometric Dimensions for Groups with Torsion
8. Some Linear Groups Virtually Having a Free Quotient (Journal of Lie theory)
9. Finite index subgroups of graph products
10. Presentations for subgroups of Artin groups

Their papers

• Fundamental Groups of Blow-ups (2002) — 76 citations
• The Geometry and Topology of Coxeter Groups (2025) — 503 citations
• Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products (2010) — 48 citations
• Weighted L 2 -cohomology of Coxeter groups (2004) — 59 citations
• Vanishing theorems and conjectures for the, $\ell ^2$--homology of right-angled Coxeter groups (2001) — 115 citations
• Nonpositive Curvature and Reflection Groups (2001) — 70 citations
• Right-angled Artin groups are commensurable with right-angled Coxeter groups (2000) — 145 citations
• When is a Coxeter System Determined by its Coxeter Group? (2000) — 62 citations