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(): 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, (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(): 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, Mochizuki’s anabelian variation of ring structures 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, Hitchin–Mochizuki morphism, opers and Frobenius-destabilized vector bundles over curves ([Advances in Mathematics,]
Volume 274, 9 April 2015, Pages 39-75] (https://doi.org/10.1016/j.aim.2015.01.004))
Kirti Joshi, The Degree of the Dormant Operatic Locus (International Mathematics Research Notices, Volume 2017, Issue 9, May 2017, Pages 2599–2613)
Last revised on March 29, 2024 at 21:34:29. See the history of this page for a list of all contributions to it.