Karl Schwede

Geometry and Topology · 2004–2018

A researcher in the Science corpus: 18 papers; trusts 41 researchers and is trusted by 32 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 228 citations into it; #414 of 7,422 by trust here, #296 by citations
• Algebra and Number Theory — 216 citations into it; #154 of 2,864 by trust here, #118 by citations
• Computational Theory and Mathematics — 83 citations into it; #2,892 of 12,182 by trust here, #1,983 by citations
• Mathematical Physics — 39 citations into it; #861 of 8,562 by trust here, #1,159 by citations
• Statistical and Nonlinear Physics — 16 citations into it
• Management Science and Operations Research — 15 citations into it
• Discrete Mathematics and Combinatorics — 13 citations into it
• Theoretical Computer Science — 12 citations into it

Whom Karl Schwede trusts overall

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

1. S. Takagi
2. N. Hara
3. Karen E. Smith
4. Gennady Lyubeznik
5. Kei-ichi Watanabe
6. Manuel Blickle
7. M. Brion
8. R. Lazarsfeld
9. L. Ein
10. S'andor J. Kov'acs

Who trusts Karl Schwede overall

1. Manuel Blickle
2. Christopher D. Hacon
3. S'andor J. Kov'acs
4. Kevin Tucker
5. M. Mustaţă
6. A. Huber
7. Zsolt Patakfalvi
8. Ofer Gabber
9. Mihnea Cristian Popa
10. Clemens Jorder

Papers from Karl Schwede's perspective

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

1. An interpretation of multiplier ideals via tight closure
2. ON F-PURE THRESHOLDS
3. F-thresholds of hypersurfaces
4. F-regular and F-pure rings vs. log terminal and log canonical singularities
5. A generalization of tight closure and multiplier ideals
6. Multiplier ideals of monomial ideals
7. The multiplier ideal is a universal test ideal
8. Inversion of adjunction on log canonicity
9. F-thresholds and Bernstein–Sato Polynomials
10. F-singularities of pairs and Inversion of Adjunction of arbitrary codimension

Their papers

• A canonical linear system associated to adjoint divisors in characteristic $p > 0$ (2011) — 70 citations
• The canonical sheaf of Du Bois singularities (2008) — 74 citations
• Globally F-regular and log Fano varieties (2009) — 164 citations
• Discreteness and rationality of F-jumping numbers on singular varieties (2009) — 78 citations
• F-singularities via alterations (2011) — 56 citations
• Singularities in mixed characteristic via perfectoid big Cohen–Macaulay algebras (2018) — 62 citations
• Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers (2017) — 80 citations
• p −1-Linear Maps in Algebra and Geometry (2012) — 65 citations
• F-signature of pairs and the asymptotic behavior of Frobenius splittings (2011) — 58 citations
• A survey of test ideals (2011) — 79 citations
• ON THE BEHAVIOR OF TEST IDEALS UNDER FINITE MORPHISMS (2010) — 61 citations
• Test ideals in non-Q-Gorenstein rings (2009) — 79 citations
• Hodge theory meets the minimal model program: a survey of log canonical and Du Bois singularities (2009) — 61 citations
• F-adjunction (2009) — 104 citations
• F-injective singularities are Du Bois (2008) — 80 citations
• Centers of F-purity (2008) — 91 citations
• A simple characterization of Du Bois singularities (2007) — 65 citations
• Gluing Schemes and a Scheme Without Closed Points (2004) — 66 citations