Joshi, Kirti

1. On vector bundles destabilized by Frobenius pull-back
   2002/08/13 by Joshi, Kirti, Ramanan, S., Xia, Eugene Z. +1 · 4 citations
   #14D20 #Algebraic Geometry (math.AG) #FOS: Mathematics
2. Construction of Arithmetic Teichmuller Spaces IV: Proof of the abc-conjecture
   2024/03/15 by Kirti Joshi, Joshi, Kirti · 4 voices · 1 citation
   Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT
3. Hitchin-Mochizuki morphism, Opers and Frobenius-destabilized vector bundles over curves
   2009/12/18 by Joshi, Kirti, Pauly, Christian · 2 citations
   #Algebraic Geometry (math.AG) #FOS: Mathematics
4. Moduli of Vector Bundles on Curves in Positive Characteristics
   1999/10/04 by Kirti Joshi, Eugene Z. Xia, Joshi, Kirti +1 · 1 citation
   Engineering · Mathematics · #14D20 #14H60 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Differential Equations and Numerical Methods #FOS: Mathematics #Material Science and Thermodynamics #math.AG #msc:14D20 #msc:14H60
5. On the Grothendieck ring of varieties in positive characteristic
   2018/11/06 by Joshi, Kirti · 1 citation
   #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
6. Asymptotics of conductors of elliptic curves over Q
   2012/01/22 by Sean Howe, Howe, Sean, Kirti Joshi +1 · 1 citation
   Mathematics · #11G05 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Geometric and Algebraic Topology #Number Theory (math.NT)
7. Construction of Arithmetic Teichmuller Spaces I
   2021/06/21 by Joshi, Kirti · 1 citation
   #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
8. Construction of Arithmetic Teichmuller spaces II: Towards Diophantine\n Estimates
   2021/11/08 by Kirti Joshi, Joshi, Kirti · 1 citation
   Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Number Theory (math.NT)
9. Construction of Arithmetic Teichmuller spaces II: Proof of a local prototype of Mochizuki's Corollary 3.12
   2023/03/03 by Joshi, Kirti · 1 citation
   #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
10. Construction of Arithmetic Teichmuller Spaces II(1)/(2): Deformations of Number Fields
    2023/05/17 by Kirti Joshi, Joshi, Kirti · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematics and Applications #Number Theory (math.NT)
11. Construction of Arithmetic Teichmuller Spaces III: A `Rosetta Stone' and a proof of Mochizuki's Corollary 3.12
    2024/01/24 by Kirti Joshi, Joshi, Kirti · 1 citation
    Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)
12. Final Report on the Mochizuki-Scholze-Stix Controversy
    2025/04/29 by Kirti Joshi, Joshi, Kirti · 1 voice · 1 citation
    Mathematics · #History and Theory of Mathematics #Analytic and geometric function theory #Advanced Combinatorial Mathematics