Kirti Joshi, Construction of Arithmetic Teichmüller Spaces and some applications (arXiv:2106.11452)
Kirti Joshi, Untilts of fundamental groups: construction of labeled isomorphs of fundamental groups – Arithmetic Holomorphic Structures (arXiv:2210.11635)
Kirti Joshi, Construction of Arithmetic Teichmüller spaces II: Proof of a local prototype of Mochizuki’s Corollary 3.12 (arXiv:2303.01662)
Kirti Joshi, Construction of Arithmetic Teichmüller spaces II($\frac{1}{2}$): Deformations of Number Fields (arXiv:2305.10398)
Kirti Joshi, Comments on Arithmetic Teichmüller Spaces (arXiv:2111.06771)
Kirti Joshi, Mochizuki’s Corollary 3.12 and my quest for its proof [pdf]
Kirti Joshi, The status of the Scholze-Stix Report and an analysis of the Mochizuki-Scholze-Stix Controversy (pdf)
Kirti Joshi, (Older-Version) Construction of Arithmetic Teichmuller spaces II: Towards Diophantine Estimates (arXiv:2111.04890)
Kirti Joshi, (Older-Version) Untilts of fundamental groups: construction of labeled isomorphs of fundamental groups (arXiv:2010.05748)
Claim of proof of statements similar to Mochizuki's corollary 3.12:
Kirti Joshi, Appendix to Construction of Arithmetic Teichmüller spaces II($\frac{1}{2}$): Deformations of Number Fields (arXiv:2305.10398)
Kirti Joshi, Construction of Arithmetic Teichmuller Spaces III: A Rosetta Stone and a proof of Mochizuki’s Corollary 3.12 (arXiv:2401.13508)
Claim of proof of the abc conjecture:
Kirti Joshi, Algebraization of Mochizuki’s anabelian variation of ring structures, perfectoid geometry and formal groups (arxiv:1906.06840)
Kirti Joshi, On Mochizuki’s idea of Anabelomorphy and its applications (arxiv:2003.01890)
On the Hitchin-Mochizuki morphism and Frobenius destablized vector bundles on curves:
Kirti Joshi, Christian Pauly, Opers of higher types, Quot-schemes and Frobenius instability loci (Épijournal de Géométrie Algébrique, Volume 4, 2020, Article Nr. 17)
Kirti Joshi, The Degree of the Dormant Operatic Locus (International Mathematics Research Notices, Volume 2017, Issue 9, May 2017, Pages 2599–2613)
Kirti Joshi, Christian Pauly, Hitchin-Mochizuki morphism, opers and Frobenius-destabilized vector bundles over curves (Advances in Mathematics, Volume 274, Issue 9, April 2015, Pages 39–75)
On Frobenius destablized vector bundles on curves:
Kirti Joshi, S. Ramanan, Jiu-Kang Yu and Eugene Z. Xia, On vector bundles destabilized by Frobenius pull-back (Compositio Mathematica, 142, Issue 3, 2006, Pages 616–630)
Kirti Joshi, Eugene Z. Xia, Moduli of Vector Bundles on Curves in Positive Characteristics (Compositio Mathematica, Volume 122, Issue 3, 2000, Pages 315–321)
On Frobenius Splitting and Ordinarity:
On the Noether-Lefschetz Theorem:
On the geography of low dimensional varieties in positive characteristics:
Last revised on July 15, 2024 at 14:46:37. See the history of this page for a list of all contributions to it.