Alpöge, Levent
- Integers expressible as the sum of two rational cubes
2022/10/19 by Levent Alpöge, Alpöge, Levent, Manjul Bhargava +3 · 6 citations
Mathematics · #11D25 #11G05 #14G05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)
- Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field
2025/01/30 by Levent Alpöge, Alpöge, Levent, Manjul Bhargava +5 · 9 citations
Mathematics · #11G10 #11G30 #11U05 #14H40 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Logic (math.LO) #Number Theory (math.NT)
- A positive proportion of cubic fields are not monogenic yet have no local obstruction to being so
2020/11/02 by Levent Alpöge, Manjul Bhargava, Alpöge, Levent +3 · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Advanced Topology and Set Theory #Homotopy and Cohomology in Algebraic Topology
- Modularity and effective Mordell I
2021/09/16 by Alpöge, Levent · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
- Conditional algorithmic Mordell
2024/08/21 by Levent Alpöge, Alpöge, Levent, Brian Lawrence +1 · 1 citation
Computer Science · #Algebraic Geometry (math.AG) #Computability, Logic, AI Algorithms #FOS: Mathematics #Number Theory (math.NT)