# Recent Ph.D.s

**T. Cheung**

2019; A-Optimal Subsampling for Big Data General Estimating Equations

**R. Gharakhloo **

2019; Asymptotic Analysis of Structured Determinants via the Riemann-Hilbert Approach; Advisor: A. Its

**H. Li **

2019; Optimal Subsampling for Penalized Spine Single Index Models; Advisors: F. Li and H. Peng

**A. Prokhorov **

2019; Connection Problem for Painleve Tau Functions; Advisor: A. Its

**S. Silvestri **

2019; The Dynamics of Semigroups of Contraction Similarities on the Plane; Advisor: R. Perez

**D. Zhou**

2019; Massive Data K-Means Clustering and Bootstrapping via A-Optimal Subsampling; Advisors: H. Peng and F. Tan

**Z. Bai**

2018; Modeling and simulation of blood flow past the distal anastomosis of the arteriovenous graft for hemodialysis; Advisor: L. Zhu

**A****. Behrouzvaziri**

2018; Thermoregulatory effects of psychostimulants and exercise: data-driven modeling and analysis; Advisor: Y. Molkov

**D. Cosper**

2018; Periodic orbits of piecewise monotone maps; Advisor: M. Misiurewicz

**D. Petrovic**

2018; Exact solution of the dimer model on the square and triangular lattice; Advisor: P. Bleher; First Position: Assistant Professor, San Diego City College, San Diego, CA.

**M. Yuan**

2018; Efficient fast computing for u-statistics via a-optimal subsampling; Advisor: H. Peng; First Position: Assistant Professor, North Dakota University, Fargo, ND.

**Y. Zhang**

2018; Random weighting approach in nonlinear and hierarchical regression models; Advisor: B. Boukai; First Position: Data Scientist, Lubrizol, Wickliffe, OH.

**X. Zhao**

2018; Regression analysis of big count data via a-optimal subsampling; Advisor: F. Tan; Co-Advisor: H. Peng

**H. Xu**

2017; Universally optimal designs for the two-dimensional interference model; Advisor: W. Zheng

**L. Carichino**

2016; Multi-scale mathematical modeling of ocular blood flow and oxygenation and their relevance to glaucoma; Advisor: G. Guidoboni

**S. Cassani**

2016; Blood circulation and aqueous humor flow in the eye: multi-scale modeling and clinical applications; Advisor: G. Guidoboni

**L. Li**

2016; Maximum empirical likelihood estimation in u-statistics based general estimating equations; Advisor: H. Peng; First Position: Research Scientist - Statistics, Eli Lilly and Company, Indianapolis, IN.

**D. Prada**

2016; A hybridizable discontinuous Galerkin method for nonlinear porous media viscoelasticity with applications in ophthalmology; Advisor: G. Guidoboni

**Y. Yoo**

2016; Strategies to tackle ill-posed inverse problems in biological systems; Advisor: Y. Molkov

**S. Roth**

2015; Ergodic properties of countable extensions; Advisor: M. Misiurewicz; First Position: Postdoctoral Researcher, Silesian University, Opava, Czech Republic.

**S. Rathnayake**

2015; A p-adic spectral triple; Advisor: S. Klimek; First Position: Assistant Professor, University of Michigan, Ann Arbor, MI.

**S. Wang**

2015; An easy empirical likelihood approach to improved estimation; Advisor: H. Peng; First Position: Assistant Professor, Department of Mathematics, Northeastern Illinois University, Chicago, IL.

**A. Harsy Ramsay**

2014; Locally compact property A groups; Advisor: R. Ji; First Position: Assistant Professor, Lewis University, Romeoville, IL.

**Q. Lin**

2013; A jacknife empirical likelihood approach to goodness of fit u-statistic testing with side information; Advisor: H. Peng; First Position: Consultant Statistician, Eli Lilly and Company, Indianapolis, IN.

**T. Bothner **

2013; Asymptotics of the Fredholm determinant corresponding to the first bulk critical universality class in random matrix models; Advisor: A. Its; First Position: CRM-ISM Postdoctoral Fellow, Centre de Recherches Mathematiques (CRM), Universite de Montreal, Quebec, Canada.

**J. Carter**

2013; Commutants of composition operators on the Hardy space of the disk; Advisor: C. Cowen; First Position: Knowledge Engineer, Ke Labs, Inc., Carmel, IN.

**S. Kaschner**

2013; Superstable manifolds of invariant circles and codimension-1 Bottcher functions; Advisor: R. Roeder; First Position: Teaching Postdoctoral, University of Arizona, Tucson, AZ.

**D. Thompson**

2013; Restrictions to invariant subspaces of composition operators on the Hardy space of the disk; Advisor: C. Cowen; First Position: Assistant Professor, Trine University, Angola, IN.

**S. Chamblee**

2012; Dynamics of twisted tent maps; Advisor: M. Misiurewicz; First Position: Junior Actuary, Indiana Department of Insurance, Indianapolis, IN.

**A. Dovzhenok**

2012; Mathematical models of basal ganglia dynamics; Advisor: L. Rubchinsky; First Position: Postdoctoral Fellow, University of Cincinnati, Cincinnati, OH.

**M. McBride**

2012; D-bar and Dirac operators on classical and quantum domains; Advisor: S. Klimek; First Position: Visiting Assistant Professor of Mathematics, University of Oklahoma, Norman, OK.

**K. Liechty**

2010; Exact solutions to the six-vertex model with domain wall boundary conditions and uniform asymptotics of discrete orthogonal polynomials on an infinite lattice; Advisor: P. Bleher; First Position: Postdoctoral Assistant Professor, University of Michigan, Ann Arbor, MI.