معرفی
Gregory J. Herschlag serves as an Associate Research Professor in the Department of Mathematics at Duke University, where he conducts interdisciplinary research at the intersection of computational mathematics, political science, and fluid dynamics. His work focuses on developing rigorous mathematical frameworks to analyze political redistricting and gerrymandering while simultaneously advancing computational techniques in fluid dynamics.
Dr. Herschlag's primary research interests include:
- Mathematical quantification of gerrymandering and electoral fairness
- Markov chain Monte Carlo methods for graph partitioning
- Computational fluid dynamics and lattice Boltzmann methods
- High-performance computing optimization for complex geometries
- Statistical sampling techniques for political district analysis
His recent publications reveal a sophisticated methodological approach to redistricting analysis, particularly through innovations like Metropolized Forest Recombination, which enables more efficient sampling of graph partitions. His 2022 Georgia congressional districting analysis demonstrated that the enacted plan exhibited extreme non-responsiveness to public opinion shifts, with only 0.12% of sampled plans showing similar characteristics. In computational physics, his work on GPU data access patterns has yielded significant performance improvements of 10-40% for lattice Boltzmann simulations.
Dr. Herschlag's interdisciplinary approach has established him as a key contributor to the growing field of mathematical analysis of electoral systems, with his methods being applied in legal contexts to evaluate partisan gerrymandering claims. His research bridges theoretical mathematics with practical applications that impact democratic processes and computational science.
