Recent Ph. D. Dissertations

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 Emperical Likelihood Estimation in U-statistics Based General Estimating Equations; Advisor: H. Peng; 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; M. Misiurewicz; First Position: Postdoctoral Researcher, Silesian University, Opava, Czech Republic

S. Rathnayake

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

S. Wang

2015; Advisor: H. Peng; First/Current Position: Assistant Professor, Department of Mathematics, Northeastern Illinois University, Chicago, IL

A. Harsy

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

Q. Lin

2013; A jackknife 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; Current Position: Research Scientist, 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, 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 Postdoc, 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; Current position: Assistant Professor of Mathematics, Taylor University, Upland, 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; Current position: Assistant Professor, DePaul University, Chicago, IL

B. Bieth

2009; Developing fast and accurate parallel solver for multi-scales biochemical reacting systems; Advisor: R. Chin; First position: Modeler, Novartis Pharma AG, Basel, Switzerland

R. Hemphill

2009; Robust equilibria: normal-form, extensive-form, and repeated games; Advisor: W. Geller; First position: Actuarial Consultant, Timmerberg and Associates, Indianapolis, IN; Current position: Senior Actuary, California Department of Insurance, Los Angeles, CA 

L. Hong

2009; Limiting performance of a one-unit system under various repair models; Advisor: J. Sarkar; First position: Assistant Professor of Mathematics and Actuarial Science, Bradley University, Peoria, IL; Current position: Assistant Professor of Mathematics & Actuarial Science, Robert Morris University, Pittsburgh, PA 

D. Niles

2009; Riemann-Hilbert-Birkhoff inverse monodromy problem and connection formulae for the third Painleve transcendents; Advisor: A. Its; First position: Postdoctoral Fellow, IUPUI, IN

B. Ramsey

2008; A generalization of the Lyndon-Hochschild-Serre spectral sequence for polynomial cohomology.; Advisor: R. Ji; First position: Postdoctoral Fellow, IUPUI, IN; Current position: Ross Assistant Professor, The Ohio State University, Columbus, OH

R. Mallison

2007; Zeros of sections of exponential sums; Advisor: P. Bleher, First position: Assistant Professor, Indiana Wesleyan University, IN; Current position: Associate Professor, Indiana Wesleyan University, IN

V. Fokin

2005; Six-vertex model with domain wall boundary conditions: Riemann-Hilbert approach; Advisor: P. Bleher; First position: Assistant Research Professor, IUPUI, IN; Current Position: Senior Applied Mathematician at Roche Diagnostics

S. Ulgen

2005, K-exactness of group C*-algebras, Advisor: J. Kaminker, First position: Visiting Assistant Professor, University of Mississippi, MS

X. Di

2003, Real zeros of random polynomials: scaling and universality, Advisor: P. Bleher, First position: Senior Staff Data Analyst, Affymetrix

G. Sirotkin

2002, Compact-friendly operators, Advisor: Y. Abramovich, First position: Visiting Assistant Professor, University of Mississippi, MS

R. Melton

2002, Positive operators in the functional calculus, Advisor: Y. Abramovich, First position: Assistant Professor, Ateneo de Manila University, Philippines

D. Mukhin

2001, Properness and Von Neumann-Morgenstern utility functions, Advisor: Y. Abramovich, First position: Actuary, Conseco, Inc., Indianapolis, IN

K. Hansen

2000, Hochshild homology of morita equivalent etale groupoids, Advisor: R. Ji, First position: Postdoctoral Fellow, Indiana University, IN