Lionel Levine

Lionel Levine is a Professor in the Department of Mathematics at Cornell University. His research focuses on probability and combinatorics, with an emphasis on understanding how large-scale patterns emerge from simple local rules. His work involves analyzing mathematical models that capture aspects of scaling from local to global phenomena. Recent research includes abelian networks, a generalization of the Bak-Tang-Wiesenfeld abelian sandpile model. Levine's publications explore topics such as competitive erosion, sandpiles on the square lattice, and the Apollonian structure of integer superharmonic matrices. He teaches courses such as Basic Probability and Supervised Research.

Lionel Levine is a professor at Cornell University, specializing in probability, combinatorics, statistical mechanics, and AI safety. His research explores mathematical models of complex systems, including chip-firing processes, rotor-router aggregation, and sandpile models. He investigates the growth and behavior of these systems, often linking them to concepts in statistical physics and discrete mathematics. Levine also contributes to AI safety by developing benchmarks for evaluating advanced mathematical reasoning in AI. His work frequently intersects with topics such as internal DLA, Gaussian free field, and Abelian networks, offering insights into the structure and dynamics of large-scale systems.