Gregory Joseph Herschlag

Gregory Joseph Herschlag
  • Assistant Research Professor of Mathematics

Research Areas and Keywords

Analysis
fluids flow across dynamic channels
Biological Modeling
biological modeling
Computational Mathematics
physical modeling, kinetic equations, surface catalysis, molecular dynamics, stochastic boundary conditions
PDE & Dynamical Systems
biological modeling, physical modeling, fluids flow across dynamical channels, kinetic equations, surface catalysis, molecular dynamics, stochastic boundary conditions
Physical Modeling
physical modeling, fluids flow across dynamic channels, surface catalysis, molecular dynamics, stochastic boundary conditions
Probability
kinetic equations, surface catalysis, molecular dynamics, stochastic boundary conditions
 

I am interested in studying techniques to reveal gerrymandering.  I am also interested in computational fluid dynamics and high performance computing.

Education & Training

  • Ph.D., University of North Carolina at Chapel Hill 2013

Cao, Yangxiaolu, et al. “Programmable assembly of pressure sensors using pattern-forming bacteria..” Nat Biotechnol, vol. 35, no. 11, Nov. 2017, pp. 1087–93. Pubmed, doi:10.1038/nbt.3978. Full Text

Herschlag, G., et al. Evaluating Partisan Gerrymandering in Wisconsin. Sept. 2017. Open Access Copy

Herschlag, G., et al. “Fluid extraction across pumping and permeable walls in the viscous limit.” Physics of Fluids, vol. 28, no. 4, Apr. 2016. Scopus, doi:10.1063/1.4946005. Full Text

Herschlag, Gregory J., et al. “A consistent hierarchy of generalized kinetic equation approximations to the master equation applied to surface catalysis..” The Journal of Chemical Physics, vol. 142, no. 23, June 2015. Epmc, doi:10.1063/1.4922515. Full Text Open Access Copy

Herschlag, G., et al. “An exact solution for stokes flow in a channel with arbitrarily large wall permeability.” Siam Journal on Applied Mathematics, vol. 75, no. 5, Jan. 2015, pp. 2246–67. Scopus, doi:10.1137/140995854. Full Text

Herschlag, Gregory, et al. Optimal reservoir conditions for fluid extraction through permeable walls in the viscous limit.

Bangia, Sachet, et al. Redistricting: Drawing the Line. Open Access Copy

Ravier, R, Mattingly, J, and Herschlag, GJ. "Evaluating Partisan Gerrymandering in Wisconsin." (Working Paper) Open Access Copy

Miller, Laura, et al. Leaf roll-up and aquaplaning in strong winds and floods.

Herschlag, Gregory, and Laura A. Miller. Reynolds number limits for jet propulsion: A numerical study of simplified jellyfish.

Herschlag, G., et al. “GPU data access on complex geometries for D3Q19 lattice boltzmann method.” Proceedings  2018 Ieee 32nd International Parallel and Distributed Processing Symposium, Ipdps 2018, 2018, pp. 825–34. Scopus, doi:10.1109/IPDPS.2018.00092. Full Text

Pages

Jonathan Mattingly, Chair of Mathematics Department
Duke Mathematics has its Day in Court

DURHAM, N.C. -- On March 26, the U.S. Supreme Court is set to hear a North Carolina lawsuit that could end partisan gerrymandering for good -- and a mode of analysis developed at Duke University could impact their decision. The nation’s highest... read more »
Electoral district map of NC
Electoral Plot - Detecting Gerrymandering with Mathematics

On January 9th, a three-judge court declared North Carolina’s congressional map unconstitutionally gerrymandered, stating that the drawing of the state’s electoral districts gave an advantage to the Republican Party.  The US Federal court cited the... read more »