Orlando Villamayor

Geometry and Topology · 2000–2008

A researcher in the Science corpus: 5 papers; trusts 7 researchers and is trusted by 7 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 21 citations into it; #1,551 of 7,422 by trust here, #1,531 by citations
• Algebra and Number Theory — 15 citations into it; #1,706 of 2,864 by trust here, #2,609 by citations
• Computational Theory and Mathematics — 12 citations into it; #7,380 of 12,182 by trust here, #11,462 by citations
• Mathematical Physics — 6 citations into it; #2,188 of 8,562 by trust here, #3,022 by citations

Whom Orlando Villamayor trusts overall

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

1. Santiago Encinas
2. Herwig Hauser
3. J. Włodarczyk
4. Steven Dale Cutkosky
5. Ana Bravo
6. Vincent Cossart

Who trusts Orlando Villamayor overall

1. Ana Bravo
2. Herwig Hauser
3. Steven Dale Cutkosky
4. Santiago Encinas
5. Valery Alexeev
6. M. Brion
7. J. Włodarczyk

Papers from Orlando Villamayor's perspective

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

1. Strong resolution of singularities in characteristic zero
2. Simple Hironaka resolution in characteristic zero
3. Desingularization algorithms I. Role of exceptional divisors
4. A Course on Constructive Desingularization and Equivariance
5. A new proof of desingularization over fields of characteristic zero.
6. A Simplified Proof of Desingularization and Applications
7. The Hironaka theorem on resolution of singularities (Or: A proof we always wanted to understand)
8. Rees algebras and resolution of singularities
9. A Strengthening of Resolution of Singularities in Characteristic Zero
10. Resolution of singularities of threefolds in positive characteristic. I.: Reduction to local uniformization on Artin–Schreier and purely inseparable coverings

Their papers

• Rees algebras and resolution of singularities (2007) — 49 citations
• Singularities in positive characteristic, stratification and simplification of the singular locus (2008) — 52 citations
• A Simplified Proof of Desingularization and Applications (2002) — 98 citations
• A new proof of desingularization over fields of characteristic zero. (2001) — 70 citations
• A Course on Constructive Desingularization and Equivariance (2000) — 123 citations