Kiran S. Kedlaya

Geometry and Topology · 2001–2016

A researcher in the Science corpus: 23 papers; trusts 37 researchers and is trusted by 44 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 86 citations into it; #331 of 7,422 by trust here, #296 by citations
• Mathematical Physics — 61 citations into it; #726 of 8,562 by trust here, #482 by citations
• Algebra and Number Theory — 33 citations into it; #817 of 2,864 by trust here, #734 by citations
• Computational Theory and Mathematics — 26 citations into it; #948 of 12,182 by trust here, #2,351 by citations
• Applied Mathematics — 13 citations into it; #1,410 of 7,620 by trust here, #1,028 by citations
• Artificial Intelligence — 5 citations into it; #14,251 of 35,345 by trust here, #22,463 by citations

Whom Kiran S. Kedlaya trusts overall

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

1. M. Temkin
2. Laurent Berger
3. M. Kisin
4. Y. Andr'e
5. Peter Scholze
6. Ruochuan Liu
7. T. Mochizuki
8. U. Hartl
9. P. Schneider
10. B. Bhatt

Who trusts Kiran S. Kedlaya overall

1. Ruochuan Liu
2. Kentaro Nakamura
3. Peter Scholze
4. Alan G. B. Lauder
5. U. Hartl
6. T. Mochizuki
7. Jonathan Pottharst
8. Reynald Lercier
9. Laurent Berger
10. Tomoyuki Abe

Papers from Kiran S. Kedlaya's perspective

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

1. Overconvergent modular forms and the Fontaine-Mazur conjecture
2. Slope filtrations revisited (Documenta Mathematica)
3. Crystalline representations and F -crystals
4. Moduli Spaces and Vector Bundles: Geometric Invariant Theory
5. Ramification of local fields with imperfect residue fields
6. On local properties of non-Archimedean analytic spaces
7. Moduli of p-divisible groups
8. Generalized ring of norms and generalized (φ,Γ)-modules
9. The Sato-Tate conjecture for Hilbert modular forms
10. Functorial desingularization of quasi-excellent schemes in characteristic zero: the nonembedded case

Their papers

• Counting Points on Hyperelliptic Curves using Monsky-Washnitzer Cohomology (2001) — 272 citations
• A p-adic local monodromy theorem (2001) — 64 citations
• Slope filtrations for relative Frobenius (2006) — 64 citations
• Semistable reduction for overconvergent F-isocrystals, IV: local semistable reduction at nonmonomial valuations (2006) — 57 citations
• Good formal structures for flat meromorphic connections, II: Excellent schemes (2010) — 99 citations
• Relative p-adic Hodge theory, II: Imperfect period rings (2016) — 100 citations
• Relative P-adic Hodge Theory: Foundations (2013) — 232 citations
• Cohomology of arithmetic families of (,Γ)-modules (2012) — 166 citations
• A construction of polynomials with squarefree discriminants (2011) — 60 citations
• An algebraic Sato-Tate group and Sato-Tate conjecture (2011) — 48 citations
• Sato–Tate distributions and Galois endomorphism modules in genus 2 (2011) — 114 citations
• Fast Polynomial Factorization and Modular Composition (2011) — 259 citations
• On Families of (',) -modules (2010) — 57 citations
• p -adic Differential Equations: The p -adic local monodromy theorem: proof (2010) — 142 citations
• p-adic Differential Equations (2010) — 159 citations
• Good formal structures for flat meromorphic connections, I: Surfaces (2008) — 108 citations
• Bounding Picard numbers of surfaces using p-adic cohomology (2006) — 56 citations
• Slope filtrations revisited (2005) — 117 citations
• Semistable reduction for overconvergent $F$-isocrystals I: Unipotence and logarithmic extensions (2004) — 96 citations
• Finiteness of rigid cohomology with coefficients (2002) — 91 citations