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Visiting Scholars & Recent Ph.D.s

Visiting Scholars & Recent Ph.D.s

Meet our Ph.D. students and visiting scholars

As a department, we are honored to be home to many talented Ph.D. students and are thrilled to celebrate their accomplishments. We are also proud to host visiting scholars on a regular basis.

Here you can see a list of our most recent Ph.D. graduates and visiting scholars.

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Celebrate our recent Ph.D. graduates

Yu Wang
Major: Mathematical Sciences
Dissertation Title: A Study of the Volatility Structure for Top Traded Stocks
Research Chair: Hanxiang Peng, Ph.D.

Hanan Aljubran
Major: Mathematical Sciences
Dissertation Title: On Random Polynomials Spanned by OPUC
Research Chair: Maxim Yattselev

Christopher Karl Neuffer
Major: Mathematical Sciences
Dissertation Title: On the Cohomology of Split Group Extensions
Research Chair: Daniel A. Ramras

Carson Bernard Triebold
Major: Mathematical Sciences
Dissertation Title: The Effects of the Endothelial Surface Layer on Red Blood Cell Dynamics in Microvessel Bifurcations
Research Chair: Jared O. Barber

Wei Zhao
Major: Mathematical Sciences
Dissertation Title: Optimal Sampling and Fast Algorithms in Generalized Linear Models
Research Chair: Hanxiang Peng

A. Barhoumi: Orthogonal Polynomials on S-Curves Associated with Genus One Surfaces: Advisor: Dr. Maxim Yattselev; First Position: Postdoctoral Assistant Professor, Ann Arbor, Michigan
L. Bezerra: Quantum Toroidal Superalgebras: Advisor: Dr. Evgeny Mukhin
V. Chan: An Explicit Formula for the Loday Assembly: Advisor: Dr. Daniel A. Ramras
I. Chio: Some Connections Between Complex Dynamics and Statistical Mechanics: Advisor: Dr.Roland Roeder; First Position: Visiting Assistant Professor, Rochester, New York
C. Huang: On The Gaudin And XXX Models Associated To Lie SuperAlgebras: Advisor: Dr. Evgeny Mukhin
K. Lu: Gaudin Models Associated to Classical Lie Algebras: Advisor: Dr. Evgeny Mukhin; Received First Position: Postdoctoral at University of Denver, Colorado
P. Marcal: Ricci Curvature of Finsler Metrics by Warped Product: Advisor: Dr. Zhongmin Shen
M. Pilla: Spectra of Composition Operators : Advisor: Dr. Carl Cowen
Z. Tang: Robust A-Optimal Subsampling for massive data robust linear regression: Advisor: Dr.Fei Tan & Dr. Hanxiang Peng; First Position: Data Scientist, Washington, DC.
F. Uvarov: Duality of Gaudin Models: Advisor: Dr. Vitaly Tarasov; First Position: Research Fellow at Higher School of Economics, Moscow, Russia
J. Zirkle: Modeling Temporal Patterns of Neural Synchronization: Synaptic Plasticity and Stochastic Mechanisms: Advisor:Dr. Leonid Rubchinksy
H. Aljubran: On random polynomials spanned by OPUC: Advisor: Dr. Maxim Yattselev

T. Cheung: A-Optimal Subsampling for Big Data General Estimating Equations; Advisor: Dr. Hanxiang Peng
R. Gharakhloo: Asymptotic Analysis of Structured Determinants via the Riemann-Hilbert Approach; Advisor: A. Its; First Position: Postdoctoral at Colorado State University Boulder
H. Li: Optimal Subsampling for Penalized Spine Single Index Models; Advisors: F. Li and H. Peng
A. Prokhorov: Connection Problem for Painleve Tau Functions; Advisor: A. Its; First Position: Postdoctoral at University of Michigan Ann Arbor
S. Silvestri: The Dynamics of Semigroups of Contraction Similarities on the Plane; Advisor: R. Perez; First Position: Visiting Instructor at Butler University, Indianapolis, Indiana
D. Zhou: Massive Data K-Means Clustering and Bootstrapping via A-Optimal Subsampling; Advisors: H. Peng and F. Tan

Z. Bai: Modeling and simulation of blood flow past the distal anastomosis of the arteriovenous graft for hemodialysis; Advisor: L. Zhu
A. Behrouzvaziri: Thermoregulatory effects of psychostimulants and exercise: data-driven modeling and analysis; Advisor: Y. Molkov; First Position: Senior Applied Mathematician at Roche Diagnostics, Indianapolis, Indiana
D. Cosper: Periodic orbits of piecewise monotone maps; Advisor: M. Misiurewicz
D. Petrovic: 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: Efficient fast computing for u-statistics via a-optimal subsampling; Advisor: H. Peng; First Position: Assistant Professor, North Dakota University, Fargo, ND.
Y. Zhang: Random weighting approach in nonlinear and hierarchical regression models; Advisor: B. Boukai; First Position: Data Scientist, Lubrizol, Wickliffe, OH.
X. Zhao: Regression analysis of big count data via a-optimal subsampling; Advisor: F. Tan; Co-Advisor: H. Peng

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

L. Carichino: Multi-scale mathematical modeling of ocular blood flow and oxygenation and their relevance to glaucoma; Advisor: G. Guidoboni; First Position: Assistant Professor at Rochester Institute of Technology, New York
S. Cassani: Blood circulation and aqueous humor flow in the eye: multi-scale modeling and clinical applications; Advisor: G. Guidoboni; First Position: Postdoctoral at University of Buffalo, New York
L. Li: 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: A hybridizable discontinuous Galerkin method for nonlinear porous media viscoelasticity with applications in ophthalmology; Advisor: G. Guidoboni; First Position: Postdoctoral at IMATI-CNR, Pavia, Italy
Y. Yoo: Strategies to tackle ill-posed inverse problems in biological systems; Advisor: Y. Molkov; First Position: Postdoctoral at Rice University, Houston, Texas

S. Roth: Ergodic properties of countable extensions; Advisor: M. Misiurewicz; First Position: Postdoctoral Researcher, Silesian University, Opava, Czech Republic.
S. Rathnayake: A p-adic spectral triple; Advisor: S. Klimek; First Position: Assistant Professor, University of Michigan, Ann Arbor, MI.
S. Wang: 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: Locally compact property A groups; Advisor: R. Ji; First Position: Assistant Professor, Lewis University, Romeoville, IL.

Q. Lin: 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: 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: 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: Superstable manifolds of invariant circles and codimension-1 Bottcher functions; Advisor: R. Roeder; First Position: Teaching Postdoctoral, University of Arizona, Tucson, AZ.
D. Thompson: 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: Dynamics of twisted tent maps; Advisor: M. Misiurewicz; First Position: Junior Actuary, Indiana Department of Insurance, Indianapolis, IN.
A. Dovzhenok: Mathematical models of basal ganglia dynamics; Advisor: L. Rubchinsky; First Position: Postdoctoral Fellow, University of Cincinnati, Cincinnati, OH.
M. McBride: 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: 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.