^{Washington State University}

_{Factsheets}

# Doctor of Philosophy in Mathematics

- Fall January 10
- Spring July 1

- Pullman: Yes

- 600 TOEFL Minimum score

## Degree Description:

PhD in Mathematics

This degree is awarded in recognition of distinctive scholarship and original contributions to knowledge in Mathematics. The PhD program is especially designed to prepare the student for teaching at the graduate level, and doing mathematical research in academic settings, and in industrial and business settings.

PhD in Mathematics (Applied Mathematics Option)

The specialization of modern academic disciplines provides both a challenge to those who wish to do research at the interface of mathematics and its areas of application and many opportunities to make valuable contributions. The Applied Mathematics Option allows students from a range of backgrounds to pursue a traditional applied mathematics program, while retaining the option to thoroughly learn an area of application. Entering students may not necessarily have a bachelor’s degree in Mathematics. However, they will be required to demonstrate a grasp of the core areas of advanced calculus and linear algebra at the level of a bachelor’s degree in Mathematics. They will then be given great latitude to take specialized courses in Mathematics and their area of application.

PhD in Mathematics with Education Emphasis

The degree of PhD in Mathematics with Education Emphasis is awarded in recognition of scholarship and original contributions to the teaching and learning of mathematics. The main difference from the other PhD choices is in the research focus. The requirements for this PhD include competence in core mathematics, as well as study in the research methodologies applicable to research in mathematics education.

The PhD in Mathematics with Statistics Option has been replaced with a new degree program, the PhD in Statistical Science. Please visit https://gradschool.wsu.edu/degrees/factsheet/doctor-philosophy-statistical-science/ for more information.

## Admission Requirements:

A minimum TOEFL score of 100 is required for admission to the PhD program. The GRE is not required.

Students should have taken upper-level analysis and linear algebra courses before applying, and have the equivalent of an undergraduate degree in mathematics, statistics, or a related field.

## Student Learning Outcomes:

All graduates will be able to:

- Critical Thinking: Students will be able to think critically and creatively.
- Knowledge and Scholarship: Students will be able to identify and conduct original research and scholarship. Ethical and Responsible Research: Students will be able to conduct research in an ethical and responsible manner.
- Effective Communication: Students will be able to effectively communicate research work in written and oral form.

## Career Opportunities:

Academia (tenure-track positions at universities and colleges worldwide), Bio-statistics (health and pharmaceutical companies), Risk analysis (financial and insurance companies, Software development, Mathematics education (publishing, consulting and developing of educational software).

## Career Placements:

Assistant Professor, Ateneo de Manila University, Philippines; Post-Doctorate, University of Maryland – Tulane University, New Orleans; LA Lecturer, Eastern Washington University, Cheney, WA; Technical Services, Epic Systems, Madison, WI; Assistant Professor, Eastern Oregon University, LaGrande, OR; Assistant Professor, Cabrini College, Radnor, PA; Software Developer, Bloomberg, New York, NY; Biostatistician, Axio Research, Seattle, WA; Assistant Professor, Whitworth, University, Spokane, WA; Assistant Professor, George Fox University, Newberg, OR; Senior Risk Analyst, J.P. Morgan Chase & Co., Columbus, OH.

## Faculty Members:

### (Bennethum), Lynn Schreyer

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Deterministic Modeling, PDEs, Continuum Mechanics

### Asaki, Thomas James, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Mathematical modeling, mathematical biology, numerical partial differential equations, computational biofluids.

### Chen, Xiongzhi

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Simultaneous inference (including variable/model selection and multiple comparison) with applications in biology and pharmaceutical science

Latent variable models for high-dimensional data with applications in genomics and signal processing

Analysis of non-Euclidean data (such as networks, shapes, images and tensors)

Spectra of random matrices (including those of sample auto-correlation/auto-covariance matrices) with applications to inference on high-dimensional data

Statistical inference on stochastic differential equations (including those driven by fractional Brownian motions) with applications in finance, biology and geology

### Cooper, Kevin Dale, Ph.D.

Serves as: co-chair or member of graduate committee

### Cooper, Sandra Clement, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Mathematics Education, Rational Approximation, Continued Fractions

### Dasgupta, Nairanjana, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Non-parametric Statistics, Multiple Comparisons, Comparison to Control, Logistic Distribution, Optimal Designs, Design of Experiments, Innovative Methods of Teaching Statistics, The history of statistics.

### Dillon, Robert, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Mathematical modeling, mathematical biology, numerical partial differential equations, computational biofluids.

### Dimitrov, Alexander, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Information-theoretic and probabilistic approaches to neural computing and cognitive processes, non-linear neuronal models, chaotic dynamical systems, non-linear signal processing and prediction, systems identification, neural-based intelligent agents. Bioinspired engineering.

### Dong, Hongbo, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Mathematical Optimization/Programming, Convex Conic Optimization and Copositive Programming, Mixed Integer Nonlinear Programming, Optimization Modeling.

### Evans, Marc Alexander, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Estimation for multiple recapture models having heterogeneous captures, and inference for binary and multinomial responses from designed experiments with randomization restrictions.

### Genz, Alan C, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

numerical computation of multiple integrals. These integrals arise in a wide variety application areas that include electromagnetics, chemistry, physics and statistics. I have developed and implemented many different types of algorithms for the computation of multiple integrals. I am also interested in related problems in multivariate approximation theory.

### Hall, William

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Mathematics Education

### Hudelson, Matthew G, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Combinatorics and Discrete Geometry, Random Algorithms

### Jacroux, Michael A, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Experimental Design

Linear Models

Spatial Data

### Jandhyala, Venkata Krishna, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Change-point problems for statistical models and their applications, Quality control, Environmental monitoring, Econometrics.

### Johnson, Dean, Ph.D.

Serves as: co-chair or member of graduate committee

#### Research Interests

Educational statistics.

Teaching of statistics.

Statistical consulting.

Item response theory.

### Kaul, Abhishek

Serves as: chair, co-chair, or member of graduate committee

### Khapalov, Alexander, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Applied Analysis; Mathematical Control Theory for Linear and Nonlinear Partial Differential Equations; Modeling, Wellposedness and Motion Capabilities for Swimming Phenomenon; Systems Theory: Controllability, Stabilization, Observability and Unique Continuation; Control of Power Systems.

### Knott, Libby, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

K-16 mathematics education and professional development.

### Krishnamoorthy, Bala, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Computational topology and geometry, linear and integer optimization, computational biology, biomedical informatics.

### Lapin, Sergey, Ph.D.

Serves as: co-chair or member of graduate committee

#### Research Interests

Numerical modeling of wave phenomena, numerical simulation of fluid flow, infectious diseases modeling.

### Li, Haijun, Ph.D.

Serves as: chair or member of graduate committee

#### Research Interests

Probability, Stochastic Processes, Risk Analysis.

### Liu, Sheng-Chi, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Number theory, automorphic forms and representation theory.

### Manoranjan, Valipuram S, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Contaminant transport in groundwater, transdermal drug delivery, models for tumor growth and disease dynamics.

### McDonald, Judith, Ph.D.

Serves as: chair of graduate committee

#### Research Interests

Matrix Analysis and Linear Algebra

### Moore, Charles, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Analysis, Harmonic analysis, Partial Differential Equations, Probability Theory

### New, Leslie, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

### Panchenko, Alexander, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Network approximation for effective parameters of concentrated suspensions, homogenization of unconsolidated composites and media with moving interfaces, modeling of osteoporosis and blood circulation, and inverse conductivity problem with rough conductivities.

### Pascual, Francis, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Engineering Reliability, Failure-Time Models and Data Analysis, Robust Designs in Accelerated Life Tests.

### Schumaker, Mark F, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Models of respiratory and photosynthetic electron transport

### Schwartz, Elissa, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

– Experimental and theoretical techniques to investigate mechanisms in virology, immunology, and infectious disease epidemiology

– Control of lentiviral infection, including human immunodeficiency virus (HIV) and equine infectious anemia virus (EIAV).

– Mathematical and computational models of viral dynamics with clinical and experimental data to elucidate the determinants of virus control and escape.

### Slavit, David, Ph.D.

Serves as: chair or member of graduate committee

#### Research Interests

Teacher development, particularly in collaborative professional contexts, teacher understanding and instruction STEM schools, the ways in which K-12 students develop understandings of algebraic ideas, particularly mathematical functions, and educational technology.

### Sottile, Matthew, Ph.D.

Serves as: member only of graduate committee

#### Research Interests

Agent-based models

Image processing

Complex systems

Graph algorithms

Scientific computing

Programming languages

### Tosic, Predrag, Ph.D.

Serves as: co-chair or member of graduate committee

#### Research Interests

Data science, machine learning, intelligent agents, large-scale data mining and AI, yber-physical systems, distributed coordination and control, large-scale complex networks, mathematical models and algorithms for smart energy and other grids

### Tsatsomeros, Michael, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Matrix theory, linear algebra and its applications

### Vincent, Kimberly McGinley, Ph.D.

Serves as: co-chair or member of graduate committee

#### Research Interests

Collegiate and pre-service mathematics education.

### Vixie, Kevin, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Geometric analysis and geometric measure theory, geometry and analysis in high dimensions, and data science. Examples include data driven advances in geometric measure theory, image analysis, regularity of minimizers, geometric analysis in metric measure spaces and graphs

### Voulgarakis, Nikolaos, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Nanoscale modeling and simulation of soft biological systems and complex fluids. Applications areas: a) gene and drug delivery, b) cell membrane dynamics, and c) energy transfer in biomolecules.

### Wang, Xueying, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Mathematical Biology

### Wang, Yuan, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Statistical learning of complex data objects including tree, curves and images

Bayesian variable selection

Adaptive clinical trial design

Compressive sensing and system design

### Yin, Hong-Ming, Ph.D.

Serves as: chair, co-chair, or member of graduate committee

#### Research Interests

Financial Engineering and Portfolio Management; Applied Mathematics; Partial Differential Equations, Inverse and Ill-posed problems; Electromagnetic Fields and Semiconductor/Superconductor modeling.