activity
19932026
most citedFrobenius splitting and ordinarity

11 citations · 55 across the 44 of their papers we have counts for

collaborators

49 papers

math.NT2026

The Categorical Local Langlands Correspondence and Anabelomorphy

Kirti Joshi

Let be a connected, split, reductive group over . In this paper I show that if and are anabelomorphic -adic fields i.e. and have t…

math.AG2023

Construction of Arithmetic Teichmuller Spaces II: Deformations of Number Fields

Kirti Joshi

This paper lays the foundation of the Theory of Arithmetic Teichmuller Spaces of Number Fields by explicitly constructing many arithmetically inequivalent avatars of a fixed number…

math.AG2023

Construction of Arithmetic Teichmuller spaces II: Proof of a local prototype of Mochizuki's Corollary 3.12

Kirti Joshi

This paper deals with consequences of the existence of Arithmetic Teichmuller spaces established in arXiv:2106.11452 and arXiv:2210.11635. Theorem~9.2.1 provides a proof of a local…

math.AG2022

Untilts of fundamental groups: construction of labeled isomorphs of fundamental groups -- Arithmetic Holomorphic Structures

Kirti Joshi

Let be a prime number. Let be a geometrically connected, smooth, quasi-projective variety over a finite extension . In this paper I demonstrate the existe…

math.AG2021

Comments on Arithmetic Teichmuller Spaces

Kirti Joshi

I provide some comments on Arithmetic Teichmuller Spaces constructed in my paper arXiv:2106.11452.

math.AG2021

Construction of Arithmetic Teichmuller spaces II: Towards Diophantine Estimates

Kirti Joshi

This paper deals with three consequences of the existence of Arithmetic Teichmuller spaces of arXiv:2106.11452. Let (resp. ) be t…