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Recent PhD's

Degree Awarded 2023

  • Yusuf Olawale Afolabi (PhD 2023)
    Dissertation title: Development and Analysis of a Second-order Method for Nonlinear Time-Space Reaction-Diffusion Equations Over Time-Graded meshes and Construction of a Global-Type Rational Approximation to the Three-Parameter Mittag-Leffler Function
    Advisor: Bruce Wade
    Position upon graduation: Data Scientist
    Caterpillar
  • Arindam Sutradhar (PhD 2023)
    Dissertation title: Essential Codimension and Lifting Projections
    Advisor: Ping Wong Ng
    Position upon graduation: Visiting Assistant Professor
    Carroll College
  • Saptarshi Chakraberty (PhD 2023)
    Dissertation title: Construction of Confidence Intervals for Ratio of Normal means and for Ratio of Percentiles
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Research Associate
    Picard Center for Child Development
  • Faysal Ahmed Chowhury (PhD 2023)
    Dissertation title: Inference on Maxwell Distributions: One- and Two-Sample Problems
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Assistant Professor of Statistics,
    Department of Mathematics,
    Florida Gulf Coast University, Fort Myers, Florida
  • Leah Elizabeth LeJeune (PhD 2023)
    Dissertation title: Dynamics of a Two-Strain Cholera Model with an Environmental Component
    Advisor: Cameron Browne
    Position upon graduation:Postdoctoral Associate (with Lauren Childs)
    Department of Mathematics at Virginia Tech

Degree Awarded 2022

  • Rahul Chatterjee (PhD 2022)
    Dissertation title: Inferences for the bivariate probability distribution using Farlie-Gumbel-Morgenstern Copula
    Advisor: Nabendu Pal
    Position upon graduation: Instructor,
    Mathematics Department,
    UL Lafayette
  • Srijana Ghimire (PhD 2022)
    Dissertation title: Analysis of non-monotone dynamical systems : bifurcation theory of mutualism and traveling wave solutions in predator-prey models and viral transmission models
    Advisor: Xiang-Sheng Wang
    Position upon graduation: Assistant Professor
    Tulsa Community College
  • Govinda Pageni (PhD 2022)
    Dissertation title: Study of a system of Caputo fractional differential equations with initial conditions via the Laplace transform method and applications
    Advisor: A.S. Vatsala
    Position upon graduation: Assistant Professor,
    Mathematics Department,
    Florida State University Panama City
  • Joshua Caleb Macdonald (PhD 2022)
    Dissertation title: Population Dynamics Under Disturbance in Ecology and Epidemiology
    Advisor: Hayriye Gulbudak
    Position upon graduation: Postdoctoral Fellow
    The School of Zoology at Tel Aviv University
  • Bao Anh Trong Maddux (PhD 2022)
    Dissertation title: Statistical Intervals for Discrete Distributions: Hypergeometric and Negative Binomial
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Assistant Professor
    Winston-Salem State University, Winston-Salem, NC

Degree Awarded 2021

  • Dun Liu (PhD 2021)
    Dissertation title: Bernstein Techniques in Global Optimization
    Advisor: R. Baker Kearfott
    Position upon graduation:
  • Rainey J. Lyons, Jr. (PhD 2021)
    Dissertation title: Modeling with Measures: Theoretical and Numerical Results
    Advisor: Azmy S. Ackleh
    Position upon graduation:
  • Thu Thi Nguyen (PhD 2021)
    Dissertation title: Optimization of Maximum Likelihood Function in the Presence of Missing Data
    Advisor: Bruce Wade
    Position upon graduation: Postdoctoral Fellow
    Simula Research Laboratory, Oslo, Norway

Degree Awarded 2020

  • Istiaq Hossain (PhD 2020)
    Dissertation title: Examining population and evolutionary dynamics in predator-prey models
    Advisor: Azmy Ackleh
    Position upon graduation: Lecturer in Mathematics
    Southern Utah University, Cedar City, Utah
  • Yinxiang Bai (PhD 2020)
    Dissertation title: Analysis and applications of Caputo fractional impulsive differential equations
    Advisor: A.S. Vatsala
    Position upon graduation:
  • Dustin Waguespack (PhD 2020)
    Dissertation title: Inference for Two-Parameter Rayleigh Distributions Based on Uncensored or Censored Samples
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Senior Software Developer
    General Dynamics Information Technology, Louisiana
  • Ngan Hoang-Nguyen-Thuy (PhD 2020)
    Dissertation title: On Construction of Two-sided Tolerance Intervals and Confidence Intervals for Probability Content
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation:

Degree Awarded 2019

  • Pradeep Godar Chhetri (PhD 2019)
    Dissertation title:Qualitative Analysis of Fractional Reaction Diffusion equation with Numerical Examples
    Advisor: A.S. Vatsala
    Position upon graduation:Teaching Faculty
    Science and Engineering Division, Rose State College, Oklahoma City
  • Subhash Subedi (PhD 2019)
    Dissertation title: Analysis of Blow-Up and Quenching for Caputo Time Fractional Reaction-Diffusion Equation
    Advisor: A.S. Vatsala
    Position upon graduation:
  • Md Sazib Hasan (PhD 2019)
    Dissertation title: Inference on Lognormal Distributions Based on Complete, Censored, or Zero-Inflated Data
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Assistant Professor
    Departmentt of Mathematics, Dixie State University
  • Shanshan Lv (PhD 2019)
    Dissertation title: Confidence Intervals and Prediction Intervals for Binomial and Hypergeometric Distributions
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Assistant Professor
    Department of Statistics, Truman State University
  • Mark Michael-Anthony Moodie (PhD 2019)
    Dissertation title: Cones of Functions on Dimension Groups
    Advisor: Leonel Robert Gonzalez
    Position upon graduation:

Degree Awarded 2018

  • Donald Davis (PhD 2018)
    Dissertation title: Quasi-Baer and FI-Extending Generalized Matrix Rings
    Advisor: Gary Birkenmeier
    Position upon graduation:
  • Blaise Heider (PhD 2018)
    Dissertation title: Annihilators and Extensions of Idempotent Generated Ideals
    Advisor: Gary Birkenmeier
    Position upon graduation: Visiting Assistant Professor
    Eckerd College, St Petersburg, Florida
  • Vojislav Petrovic (PhD 2018)
    Dissertation title: The K(n)-local En-Adams Spectral Sequence and a Cohomological Approoximation of its E2-term
    Advisor: Daniel Davis
    Position upon graduation: Instructor
    Mathematics Department, University of Louisiana at Lafayette, Lafayette, Louisiana
  • Lihong Zhao (PhD 2018)
    Dissertation title: Modeling, Estimation and Approximation in Structured Models
    Advisor: Karyn Sutton
    Position upon graduation: Collaboratorium Postdoctoral Researcher
    Center for Modeling Complex Interactions, University of Idaho

Degree Awarded 2017

  • Xiao Wang (PhD 2017)
    Dissertation title: Inferences on Gamma Distributions: Uncensored and Censored Cases
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation:Assistant Professor
    Mathematics and Statistics Department, Qingdao University

Degree Awarded 2016

  • Jared Thomas Guilbeau (PhD 2016)
    Dissertation title: A vector Parallel Branch and Bound Algorithm
    Advisor: R. Baker Kearfott
    Position upon graduation: Instructor
    Mathematics Department, University of Louisiana at Lafayette, Lafayette, Louisiana
  • Tracy James Robin (PhD 2016)
    Dissertation title: Density of a Normal Subgroup of the Invertibles in Certain Multiplier Algebras
    Advisor: Ping Wong Ng
    Position upon graduation: Instructor
    Mathematics Department, University of Louisiana at Lafayette, Lafayette, Louisiana
    Current position: (Fall 2018) (tenure-track) Assistant Professor at Prairieville University.
  • Buna Sambandham (PhD 2016)
    Dissertation title: Analysis of Sequential Caputo Fractional Differential Equations with Applictions
    Advisor: A.S. Vatsala
    Position upon graduation: Lecturer
    Mathematics Department, Southern Utah University, Cedar City, Utah
  • Xinuy Li (PhD 2016)
    Dissertation title: Size-Structured Population Model with Distributed State in the Recruitment Approximation and Parameter Estimation
    Advisor: Azmy Ackleh
    Position upon graduation:Lecturer
    Department of Mathematics and Statistics, University of Houston Downtown

Degree Awarded 2015

  • Vinodh Chellamuthu (PhD 2015)
    Dissertation title: Structured population models: numerical methods and application to frogs infected with chytridiomycosis
    Advisor: Azmy Ackleh
    Position upon graduation: Assistant Professor
    Dixie State University, St George, Utah
  • Yixiang Wu (PhD 2015)
    Dissertation title: Long time behavior for reaction-diffusion population models
    Advisor: Keng Deng
    Position upon graduation: Fields Postdoctoral Fellow
    Western University, London, Canada
  • Qian Wang (PhD 2015)
    Dissertation title: Global existence and blow-up for diffusion equations with memory boundary conditions
    Advisor: Keng Deng
    Position upon graduation: Lecturer
    Department of Mathematics And Systems Science, Shadong University of Science and Technology
  • Robert Miller (PhD 2015)
    Dissertation title: Models for the Interaction of Size Structured Populations and the Environment
    Advisor: Azmy Ackleh
    Position upon graduation: Continued in a full time position at Fenstermaker and Associates in Lafayette
    Current position (beginning Fall 2017): Assistant Professor of Civil Engineering
    UL Lafayette

Degree Awarded 2014

  • Mark L. Delcambre (PhD 2014)
    Dissertation title: Finite difference schemes for a structured model of microbacterium Marinum
    Advisor: Azmy Ackleh
    Position upon graduation:Application Developer and New Product Developer in the areas of predictive analytics and machine learning
    CGI Federal
  • Richard L. LeBlanc (PhD 2014)
    Dissertation title: Baer and Rickart properties in modules and an associated radical
    Advisor: Gary Birkenmeier
    Position upon graduation:
  • Sowmya Muniswamy (PhD 2014)
    Dissertation title: Analytical and numerical approach to Caputo fractional differential equations via generalized iterative schemes with applications
    Advisor: Aghalaya S. Vatsala
    Position upon graduation:

Degree Awarded 2013

  • Yi Wang (PhD 2013)
    Dissertation title: Analysis and numerical schemes for structured population models
    Advisor: Keng Deng
    Position upon graduation: Intern
    Information Technology Management Department, China Construction Bank, Wuhan, PRC
  • Matthew J. Lennon (PhD 2013)
    Dissertation title: Intrinsic and Dense Intrinsic Extensions of Rings
    Advisor: Gary Birkenmeier
    Position upon graduation:Instructor
    UL Lafayette
  • Christopher Ryan (PhD 2013)
    Dissertation title: Fully invariant modular decompositions using pairwise comaximal ideals
    Advisor: Gary Birkenmeier
    Position upon graduation: Adjunct Instructor
    UL Lafayette
  • Haochun Zhang (PhD 2013)
    Dissertation title: Site selection for points of distributions: a multi-objective mixed binary optimization model
    Advisor: R. Baker Kearfott
    Position upon graduation: Quantitative Analyst (He is in the risk analysis group, developing models of financial risk.)
    PNC (Pittsburgh National Corporation, a large bank corporation)
  • Dan Zhang (PhD 2013)
    Dissertation title: Test and Interval Estimation Methods for Some Discrete Distributions
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Statistician
    L2C, Inc, 3348 Peachtree Rd NE, Atlanta, Georgia
    L2C, Inc is a Risk, Credit Analysis, Financial Services Company, which is a deep partner with TransUnion. The company offers Credit Score and analysis service to Banks, Loan and Insurance Companies.

Degree Awarded 2012

  • Baoling Ma (PhD 2012)
    Dissertation title: Long-time solution behavior and higher order numerical schemes for structured population models
    Advisor: Azmy Ackleh
    Position upon graduation: Lecturer (Ph.D. required)
    Louisiana Tech University, Ruston, Louisiana
    Current position (May 2015): Postdoctoral Fellow
    Mathematics Department, UL Lafayette
  • Zhao Xu (PhD 2012)
    Dissertation title: Inference on lognormal distributions based on samples with multiple detection limits
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation:Statistician
    STATA (software company), College Station, Texas
  • Fang Xie (PhD 2012)
    Dissertation title: Tolerance intervals for some continuous and discrete distributions
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation:
  • Zachary Denton (PhD 2012)
    Dissertation title: Qualitative theory of Riemann-Liouville fractional differential equations
    Advisor: Aghalaya Vatsala
    Position upon graduation: Assistant Professor
    Department of Mathematics, North Carolina A&T State University, Greensboro, North Carolina
  • Juan Ramirez Valdez (PhD 2012)
    Dissertation title: Generalized monotone iterative techniques for fractional differential equations with boundary conditions
    Advisor: Aghalaya Vatsala
    Position upon graduation: Visiting Assistant Professor
    Lamar University, Beaumont, TX

Degree Awarded 2011

  • Qihua Huang (PhD 2011)
    Dissertation title: Deterministic and stochastic structured population models with application to green tree frogs
    Advisor: Azmy Ackleh and Keng Deng
    Position upon graduation: Postdoctoral Fellow
    Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada
  • Zhihua Dong (PhD 2011)
    Dissertation title: Global solvability and blow-up for parabolic equations with nonlinear memory
    Advisor: Keng Deng
    Position upon graduation: Non-academic
    Working for a company in China
  • Xiaodong Lian (PhD 2011)
    Dissertation title: Tolerance intervals for some linear models
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Senior Statistician Health Advocate
    Los Angeles, California
  • Anne Vakarieties (PhD 2011)
    Dissertation title: Preserving properties in extensions to rings with identity
    Advisor: Henry Heatherly
    Position upon graduation: Assistant Professor
    Culinary Institute of Virginia, ECPI University, Norfolk, Virginia
  • Xing Yang (PhD 2011)
    Dissertation title: Estimation of a population size through CMR method and sensitivity analysis for a structured juvenile-adult model
    Advisors: Keng Deng and Nabendu Pal
    Position upon graduation: Assistant Professor
    Department of Mathematics, Jackson State University, Jackson, Mississippi
  • Pei Zhang (PhD 2011)
    Dissertation title: Discrete stage-structured models with application to plants and amphibians
    Advisor: Azmy Ackleh
    Position upon graduation: Instructor
    Northwestern State University, Natchitoches, Louisiana
    Current position (Jan. 2013): Assistant Professor (as of Fall 2012)
    Department of Mathematics and Computer Science, Wilkes University, Wilkes-Barre, Pennsylvania

Degree Awarded 2010

  • Ratinan Boonklurb (PhD 2010)
    Dissertation title: Blow-up, beyond quenching, and multi-dimensional quenching due to local and nonlocal sources
    Advisor: C.Y. Chan
    Position upon graduation: Lecturer
    Department of Mathematics, Chulalongkorn University, Pathumwan, Bangkok, Thailand
  • Abhinadan Chowdhury (PhD 2010)
    Dissertation title: Modeling the microstructure of the temperature field and the effective properties of heat conduction through polydisperse spherical suspensions
    Advisor: Christo Christov
    Position upon graduation: Instructor
    Department of Mathematics, Western Illinois University, Macomb, IL
    Current position (Jan. 2013): Visiting Assistant Professor
    Mathematical Sciences Department, Delaware State University, Dover, Delaware
  • Meesook Lee (PhD 2010)
    Dissertation title: Fiducial inference for some discrete distributions
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Assistant Professor
    Department of Mathematics, South Louisiana Community College, Lafayette, Louisiana
  • Yin Lin (PhD 2010)
    Dissertation title: Generalized inference for Weibull distributions
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Visiting Assistant Professor
    Northern Arizona University, Flagstaff, Arizona
  • Avishek Mallick (PhD 2010)
    Dissertation title: Analysis of data in presence of censored observations
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Visiting Assistant Professor
    Oakland University, Rochester, MI
    Current position (Jan. 2013): Visiting Assistant Professor
    University of New Hampshire, Durham, New Hampshire
  • Julie Roy (PhD 2010)
    Dissertation title: Singularities in deterministic global optimization
    Advisor: R. Baker Kearfott
    Position upon graduation: Assistant Professor
    Denver Metropolitan University, Denver, CO
    Current position (May 2015): Instructor
    Mathematics Department, UL Lafayette

Degree Awarded 2009

  • Ross Chiquet (PhD 2009)
    Dissertation title: Discrete juvenile-adult models with application to amphibians
    Advisor: Azmy Ackleh
    Position upon graduation: Instructor
    Mathematics Department
    University of Louisiana at Lafayette
    Current position (May 2015): Master Instructor and Assistant Department Head
    Mathematics Department, UL Lafayette
  • Patcharin Tragoonsirisak (PhD 2009)
    Dissertation title: Quenching and blow-up phenomena due to concentrated nonlinear sources in R^N
    Advisor: C.Y. Chan
    Position upon graduation: Assistant Professor
    Department of Mathematics and Computer Science, Fort Valley State University, Fort Valley, Georgia
    Current position (August 2014): Associate Professor with tenure
    Department of Mathematics and Computer Science, Fort Valley State University, Fort Valley, Georgia
  • John Cleveland (PhD 2009)
    Dissertation title: Evolutionary game theory on measure space
    Advisor: Azmy Ackleh
    Position upon graduation: Instructor
    Mathematics Department, Penn State University, State College, Pennsylvania
  • Alex Stanford (PhD 2009)
    Dissertation title: Topological rings and associated topological groups
    Advisor: Henry Heatherly
    Position upon graduation: Worked for a law firm in Lafayette
    Current position (Jan. 2013): Second year student
    LSU Law School, Baton Rouge, Louisiana

Degree Awarded 2008

  • Jayanta Choudhury (PhD 2008)
    Dissertation title: Numerical and asymptotic investigation of the stationary-propagating localized solutions of the Boussinesq equation in two dimensions
    Advisor: Christo Christov
    Position upon graduation: Software Engineer
    TeamQuest Corporation
  • Jie Peng (PhD 2008)
    Dissertation title: Sample size calculation and tests for binomial and Poisson distributions
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Assistant Professor
    Department of Economics and Decision Sciences, St. Ambrose University, Davenport, Iowa
  • Tchavdar Marinov (PhD 2008)
    Dissertation title: An inverse problem for the Euler-Bernoulli equation and a new scheme for solving a hierarchical size-structured model with nonlinear growth, mortality, and reproduction rates
    Advisors: Keng Deng and Aghalaya Vatsala
    Position upon graduation: Assistant Professor
    Southern University of New Orleans, New Orleans, Louisiana

Degree Awarded 2007

  • Julio Cesar Carrillo-Escobar (PhD 2007)
    Dissertation title: Blow-up and quenching phenomena for singular semilinear parabolic problems
    Advisor: C.Y. Chan
    Position upon graduation: Associate Professor
    Department of Mathematics, Universidad Industrial de Santander, Bucaramanga, Santander, Colombia
  • Youssef Dib (PhD 2007)
    Dissertation title: Continuous and discrete models in population biology
    Advisor: Azmy Ackleh
    Position upon graduation: Assistant Professor
    Department of Mathematics, University of Louisiana at Monroe, Monroe, Louisiana
  • Sumona Mondal (PhD 2007)
    Dissertation title: Construction of tolerance regions for some multivariate linear models
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Assistant Professor
    Department of Mathematics, Clarkson University, Potsdam, New York
  • Shubhabrata Mukherjee (PhD 2007)
    Dissertation title: Tolerance limits and stress-strength reliability of some continuous models
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Assistant Professor
    Virginia State University, Petersburg, VA
    Current position (Jan. 2013): Senior Fellow (Research Scientist II)
    School of Medicine, University of Washington, Seattle, Washington
  • Jeremy Thibodeaux (PhD 2007)
    Dissertation title: Structured population models in the biological and social sciences
    Advisors: Azmy Ackleh and Keng Deng
    Position upon graduation: Assistant Professor
    Department of Mathematics, University of Central Oklahoma, Edmond, Oklahoma
    Current position (Jan. 2013): Assistant Professor
    Department of Mathematics, Loyola University, New Orleans, Louisiana
  • Tawikan Treeyaprasert (PhD 2007)
    Dissertation title: Blow-up and quenching phenomena due to a concentrated nonlinear source on a semi-infinite interval
    Advisor: C.Y. Chan
    Position upon graduation: Lecturer
    Department of Mathematics and Statistics, Thammasat University, Phra Nakhon, Bangkok, Thailand
  • Yanping Xia (PhD 2007)
    Dissertation title: Inferences on simple, multiple, and dependent correlation coefficients
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Assistant Professor
    Department of Mathematics, Southeast Missouri State University, Cape Girardeau, Missouri
  • Fei Lu (PhD 2007)
    Dissertation title: ANOVA and MANOVA under heteroscedasticity
    Advisor: Kalimuthu Krishnamoorthy
    Position upon graduation: Research Scientist, R&D
    Javelin Direct Inc., Irving, Texas