Jordan S. Ellenberg
- Mathematical discoveries from program search with large language models
2023/12/14 by Bernardino Romera-Paredes, Bernardino Romera‐Paredes, Mohammadamin Barekatain +11 · 188 citations
Computer Science · #Computability, Logic, AI Algorithms #Artificial Intelligence in Games #Algorithms and Data Compression
- Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields
2009/12/02 by Jordan S. Ellenberg, Akshay Venkatesh, Ellenberg, Jordan S. +3 · 6 citations
Mathematics · #11G20 #11S31 #14H10 #20J05 #55R80 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)
- PatternBoost: Constructions in Mathematics with a Little Help from AI
2024/11/01 by François Charton, Charton, François, Jordan S. Ellenberg +6 · 3 voices · 7 citations
Computer Science · Mathematics · #Model-Driven Software Engineering Techniques #cs.LG #math.CO
- Fox-Neuwirth-Fuks cells, quantum shuffle algebras, and Malle's\n conjecture for function fields
2017/01/17 by Jordan S. Ellenberg, TriThang Tran, Ellenberg, Jordan S. +3 · 4 citations
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics
- Serre's conjecture over F9
2001/07/20 by Jordan S. Ellenberg, Ellenberg, Jordan S. · 1 citation
Mathematics · #11F80 (Primary) 11G18 14K15 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11F80 #msc:11G18 #msc:14K15
- Galois representations attached to Q-curves and the generalized Fermat equation A4 + B2 = Cp
2003/11/27 by Jordan S. Ellenberg, Ellenberg, Jordan S. · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #math.AG #math.NT #msc:11D41 #msc:11F67 #msc:11G05 #msc:11G18
- Homological stability for generalized Hurwitz spaces and Selmer groups in quadratic twist families over function fields
2023/10/25 by Jordan S. Ellenberg, Ellenberg, Jordan S., Aaron Landesman +1 · 1 voice · 2 citations
#math.NT #math.AG #math.AT
- Approximate Gradient Coding via Sparse Random Graphs
2017/11/17 by Zachary Charles, Dimitris Papailiopoulos, Charles, Zachary +3 · 1 citation
Computer Science · Engineering · #Computation (stat.CO) #Distributed #FOS: Computer and information sciences #Information Theory (cs.IT) #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Parallel #Privacy-Preserving Technologies in Data #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #and Cluster Computing (cs.DC)