T. Mochizuki

Geometry and Topology · 2002–2015

A researcher in the Science corpus: 10 papers; trusts 16 researchers and is trusted by 35 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 33 citations into it; #467 of 7,422 by trust here, #653 by citations
• Mathematical Physics — 16 citations into it; #835 of 8,562 by trust here, #997 by citations
• Computational Theory and Mathematics — 8 citations into it
• Algebra and Number Theory — 7 citations into it
• Applied Mathematics — 6 citations into it; #2,389 of 7,620 by trust here, #4,033 by citations

Whom T. Mochizuki trusts overall

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

1. C. Sabbah
2. O. Biquard
3. Kiran S. Kedlaya
4. D. Gaitsgory
5. M. A. Cataldo
6. P. Boalch
7. D. Gaiotto
8. David A. Cox
9. Masaki Kashiwara
10. C. Hertling

Who trusts T. Mochizuki overall

1. Carlos Simpson
2. Kiran S. Kedlaya
3. M. Hien
4. C. Sabbah
5. S. Kamada
6. D. Greb
7. A. D'agnolo
8. K. Corlette
9. J. Scott Carter
10. M. A. Cataldo

Papers from T. Mochizuki's perspective

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

1. Good formal structure for meromorphic flat connections on smooth projective surfaces
2. Équations différentielles à points singuliers irréguliers et phénomène de Stokes en dimension 2
3. The Hodge theory of algebraic maps
4. Wild Harmonic Bundles and Wild Pure Twistor D-modules
5. Wild non-abelian Hodge theory on curves (Compositio Mathematica)
6. Categories and Sheaves
7. Polarizable twistor D-modules
8. A relation between the parabolic Chern characters of the de Rham bundles
9. Kobayashi-Hitchin correspondence for tame harmonic bundles and an application (Astérisque)
10. Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory

Their papers

• Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces (2015) — 59 citations
• Mixed Twistor D-modules (2011) — 51 citations
• The Stokes Structure of a good meromorphic flat bundle (2011) — 47 citations
• Wild Harmonic Bundles and Wild Pure Twistor D-modules (2008) — 219 citations
• Good formal structure for meromorphic flat connections on smooth projective surfaces (2008) — 73 citations
• Kobayashi-Hitchin correspondence for tame harmonic bundles II (2006) — 86 citations
• Kobayashi-Hitchin correspondence for tame harmonic bundles and an application (2004) — 136 citations
• Some calculations of cohomology groups of finite Alexander quandles (2003) — 104 citations
• Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor D-Modules (2003) — 187 citations
• Asymptotic Behaviour of Tame Nilpotent Harmonic Bundles with Trivial Parabolic Structure (2002) — 58 citations