Steven Dale Cutkosky

Geometry and Topology · 2000–2018

A researcher in the Science corpus: 10 papers; trusts 27 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 46 citations into it; #716 of 7,422 by trust here, #809 by citations
• Algebra and Number Theory — 31 citations into it; #267 of 2,864 by trust here, #289 by citations
• Computational Theory and Mathematics — 19 citations into it; #1,833 of 12,182 by trust here, #2,761 by citations
• Mathematical Physics — 13 citations into it; #3,007 of 8,562 by trust here, #4,022 by citations
• Applied Mathematics — 5 citations into it

Whom Steven Dale Cutkosky trusts overall

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

1. R. Lazarsfeld
2. Santiago Encinas
3. Herwig Hauser
4. Jürgen Herzog
5. J. Kollár
6. M. Mustaţă
7. S. Boucksom
8. Franz-Viktor Kuhlmann
9. Orlando Villamayor
10. Ana Bravo

Who trusts Steven Dale Cutkosky overall

1. Shreeram S. Abhyankar
2. Chi Li
3. Kiumars Kaveh
4. Franz-Viktor Kuhlmann
5. Christopher D. Hacon
6. Vincent Cossart
7. H. Blum
8. Yuchen Liu
9. C. Birkar
10. Askold Khovanskii

Papers from Steven Dale Cutkosky's perspective

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

1. Simple Hironaka resolution in characteristic zero
2. Strong resolution of singularities in characteristic zero
3. Differentiability of volumes of divisors and a problem of Teissier
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. Algebraic Geometry (Wiley Encyclopedia of Computer Science and Engineering)
8. The Hironaka theorem on resolution of singularities (Or: A proof we always wanted to understand)
9. Uniform approximation of Abhyankar valuation ideals in smooth function fields
10. On Commutative Algebra

Their papers

• Multiplicities associated to graded families of ideals (2012) — 77 citations
• Ramification of valuations (2004) — 54 citations
• Resolution of Singularities (2004) — 87 citations
• Positivity and complexity of ideal sheaves (2000) — 60 citations
• Local monomialization and factorization of morphisms (2018) — 52 citations
• Asymptotic Multiplicities of Graded Families of Ideals and Linear Series (2014) — 96 citations
• Resolution of singularities for 3-folds in positive characteristic (2006) — 117 citations
• Asymptotic Behavior of the Length of Local Cohomology (2004) — 48 citations
• Poincaré series of resolutions of surface singularities (2003) — 49 citations
• Monomialization of Morphisms from 3 Folds to Surfaces (2000) — 56 citations