Publications

Submitted:

An S-Box construction from exponentiation in finite fields and its application in RGB color image encryption.  With Steven Dougherty, Serap Sahinkaya, and Deniz Ustun. pdf

Accepted:

Concentration inequalities for the hydrodynamic limit of a two-species stochastic particle system. Accepted to Discrete and Continuous Dynamical Systems Series B.  pdf

Markov models of coarsening in two-dimensional foams with edge rupture. J. Nonlinear Science. 31.2 (2021): 1-27. pdf

Convergence of backpropagation with momentum for network architectures with skip connections. With Chirag Agarwal, and Dan Schonfeld. J. Comp. Math. 39 (2021), pp. 147-158.  pdf

Two-dimensional grain boundary networks: stochastic particle models and kinetic limits. With Govind Menon and Robert Pego. Arch. Rational Mech. Anal. (2020). pdf

Effective behavior of cooperative and nonidentical molecular motors.  With John Fricks and Peter Kramer. Res. Math. Sci. 7, 29 (2020).  pdf

Concentration inequalities for a removal-driven thinning process.  With Govind Menon. Quart. Appl. Math. 75 (2017), 677-696 . pdf

Aberrations in the iron regulatory gene signature are associated with decreased survival in diffuse-grade glioma. With Nicholas Marko, Cody Weston, et al. PLoS One (Nov. 2016).pdf

Building polyhedra by self-folding: theory and experimentWith Govind Menon, David Gracias et al. Artificial Life (Vol.20, Issue 4, Fall 2014). pdf

Self-assembly of mesoscale octahedral isomers: the role of pathways. With Govind Menon, David Gracias, et al. PLoS One (Oct. 2014). pdf

Conference Papers:

A network-theoretic analysis of hospital admission, transfer, and discharge data. With Nathan Ryan, Maria Cioffi, and Naba Mukhtar. AMIA Translational Informatics (Mar. 2018). pdf

Evolving patient compliance trends: integrating clinical, insurance, and extrapolated socioeconomic data. With Nicholas Marko and Arun Aryasomayajula. AMIA 2015. (Nov. 2015).pdf