• Numerical Analysis
  Numerical Solution of Ordinary and Partial Differential Equations/Systems: Nonstandard Finite Difference Methods
  
• Mathematical Biology
  Mathematical Modeling and Analysis of Complex Biological Systems: Microbial Biofilms, Population Interactions, Bone Formation and Growth, the Human Immune System, and Gut Microbiomes
  

Dr. Hristo V. Kojouharov is a Professor of Mathematics and the Graduate Advisor for the Ph.D. and M.S. Programs in Mathematics at the University of Texas at Arlington. He earned his Ph.D. in Mathematics from the University of Wyoming in 1998, and then spent two years as a Visiting Assistant Professor of Mathematics at Arizona State University. He was appointed to the faculty at UT Arlington in 2000.

At present, Dr. Kojouharov is the Faculty Advisor for the student chapter of the Mathematical Association of America (MAA) at UTA and one of the faculty members in the NSF S-STEM SURGE program and in the DOE GAANN program at UTA. He has been the director of the NSF funded UTTER (Undergraduate Training in Theoretical Ecology Research) program and has also been heavily involved with the NSF GK-12 program at UTA. In addition, he is the director of the Annual UTA Calculus Bowl competition at the high-school level and was also of the Annual MAA Texas Section Calculus Bowl at the college/university level.

POST-DOCTORAL RESEARCH SUPERVISIONS

Mehtap Lafci, Post-Doc, UTA, 6/2018-6/2019 Research Project: ``Mathematical Modeling of Post-Myocardial Infarction Left Ventricular Remodeling'' Current Position: Assistant Professor of Mathematics, Usak University, Usak, Turkey

GRADUATE STUDENT SUPERVISIONS

     CURRENT PH.D. STUDENTS:

Ana Clarisa Mendez, Ph.D. Student, UTA Research Project: ``Mathematical Modeling of Population Dynamics in Gut Microbiomes and Algal Blooms''

     PH.D. DISSERTATIONS DIRECTED:

	Fawaz K. Alalhareth, Ph.D., UTA, 7/2022 Dissertation Title: ``Higher-Order Nonstandard Finite Difference Methods for Autonomous Differential Equations with Applications in Mathematical Ecology'' Position Obtained: Assistant Professor, Department of Mathematics, Najran University, Najran, Saudi Arabia Current Position: Assistant Professor, Department of Mathematics, Najran University, Najran, Saudi Arabia
	Imelda Trejo Lorenzo, Ph.D., UTA, 5/2019 Dissertation Title: ``Modeling the Effects of the Immune System on Bone Fracture Healing'' Position Obtained: Post-Doctoral Research Associate, Los Alamos National Laboratory, Los Alamos, NM Current Position: CDC Steven M. Teutsch Prevention Effectiveness Fellow, Centers for Disease Control and Prevention, Atlanta, GA
	Iris Alvarado, Ph.D., UTA, 8/2018 Dissertation Title: ``Mathematical Modeling of the Bone Remodeling Process'' Position Obtained: Senior Lecturer in Mathematical Sciences, The University of Texas at Dallas, Richardson, TX Current Position: Assistant Professor of Instruction - Mathematical Sciences, The University of Texas at Dallas, Richardson, TX
	Daniel Wood, Ph.D., UTA, 7/2015 Dissertation Title: ``Advancements and Applications of Nonstandard Finite Difference Methods'' Position Obtained: Post-Doctoral Research Scholar, Vaccine and Infectious Disease Division, Fred Hutchinson Cancer Research Center, Seattle, WA Current Position: Applied Scientist, Amazon, Seattle, WA
	Xiaoyang Dong, Ph.D., UTA, 7/2013 Dissertation Title: ``Mathematical Models of Nutrient Recycling and Toxin Production in a Gradostat'' Position Obtained: Senior Associate (Analyst), Phoenix Analytics Center, Discover Financial Services, Phoenix, AZ Current Position: Quantitative Analytics Consultant, Wells Fargo, San Francisco, CA
	Alicia Prieto Langarica, Ph.D., UTA, 7/2012 Dissertation Title: ``From Discrete to Continuous Models of Cell Movement: An Application to Medical Implants'' Position Obtained: Assistant Professor, Department of Mathematics and Statistics, Youngstown State University, Youngstown, OH Current Position: Distinguished Professor, Department of Mathematics and Statistics, Youngstown State University, Youngstown, OH
	Ian P. Martines, Ph.D., UTA, 4/2008 Dissertation Title: ``Mathematical Analysis of Allelopathy and Resource Competition Models'' Position Obtained: Postdoctoral Research Scholar, Paul M. Rady School of Computer Science and Engineering, Western Colorado University, Gunnison, CO Current Position: Professor of Mathematics and Interim Dean, School of Science, Engineering and Technology, St. Mary's University, San Antonio, TX
	Dobromir T. Dimitrov, Ph.D., UTA, 4/2005 Dissertation Title: ``Nonstandard Finite-Difference Methods for Dynamical Systems with Applications in Mathematical Biology'' Position Obtained: Postdoctoral Research Scholar, Department of Ecology and Evolutionary Biology, University of Tennessee, Knoxville, TN Current Position: Senior Staff Scientist, Vaccine and Infectious Disease Division, Fred Hutchinson Cancer Research Center, Seattle, WA
	Hilaire M. Kadjo, Ph.D., UTA, 4/2004 Dissertation Title: ``An Age-Structured Population Model: Interactions Between Nutrients and Phytoplankton'' Position Obtained: Systems Engineer, Network Centric Systems, ITAS, Raytheon Company, Plano, TX Current Position: Systems Engineer, Lockheed Martin Missiles and Fire Control, Lockheed Martin Corporation, Grand Prairie, TX

     M.S. SPECIAL PROJECTS / THESES DIRECTED:

	Ana Clarisa Mendez, M.S., UTA, 12/2021 Thesis Title: ``Mathematical Modeling of Bacteriophage Persistence in Gut Microbiomes'' Position after M.S.: Ph.D. Student in Mathematics, University of Texas at Arlington, Arlington, TX
	Huda Amer Hadi, M.S., UTA, 8/2017 Thesis Title: ``A Mathematical Model of Hepatitis C Virus Infection Incorporating Immune Responses and Cell Proliferation'' Position after M.S.: Lecturer, Mathematics Department, College of Education for Pure Sciences, University of Babylon, Hilla, Iraq
	Robert Childress, M.S., UTA, 11/2015 Thesis Title: ``Comparative Analysis of Various Continuous-Time Deterministic Models of Tumor-Immune Interactions'' Position after M.S.: Institutional Research Associate, University Analytics, University of Texas at Arlington, Arlington, TX
	Alysmarie Hodges, M.S., UTA, 5/2012 Thesis Title: ``Numerical Methods for Solving an HPV ODE Model'' Position after M.S.: Mathematics Instructor, Dallas College El Centro Campus, Dallas, TX
	Tarik Celik, M.S., UTA, 4/2012 Thesis Title: ``Comparison of Nonstandard Numerical Methods for a Class of Initial Value Problems'' Position after M.S.: Ph.D. Student in Mathematics, University of Texas at Arlington, Arlington, TX
	Irfan Turk, M.S., UTA, 7/2011 Thesis Title: ``A Mathematical Model of Swine Flu 2009 with Vaccination'' Position after M.S.: Ph.D. student in Mathematics, Istanbul University, Istanbul, Turkey
	Darren Sheets, M.S., UTA, 4/2009 Thesis Title: ``Multiple Linear Regression Model of Visceral Leishmaniasis in Bihar, India'' Position after M.S.: Ph.D. Student in Economics, American University, Washington, DC
	Nithin Rahul, M.S., UTA, 11/2005 Thesis Title: ``Interpolation of an Economic Model using the Newton's Method and the Cubic Spline Method'' Position after M.S.: Software Analyst, Protective Insurance Company Inc., Carmel, IN
	Yonael Yohanes, M.S., UTA, 4/2005 Thesis Title: ``Numerical Simulation of Multi-Lane Traffic Flow'' Position after M.S.: Data Scientist, Datalitical Inc., Dallas, TX
	Sompoom Meechowna, M.S., UTA, 11/2004 Thesis Title: ``Numerical Methods for a System of Partial Differential Equations for Traffic Flow'' Position after M.S.: Instructor, Faculty of Academic, Navaminda Kasatriyadhiraj Royal Air Force Academy, Bangkok, Thailand
	Dobromir T. Dimitrov, M.S., UTA, 7/2003 Thesis Title: ``Complete Mathematical Analysis of a Predator-Prey Model with a Beddington-DeAngelis Functional Response'' Position after M.S.: Ph.D. Student in Mathematics, University of Texas at Arlington, Arlington, TX

UNDERGRADUATE STUDENT SUPERVISIONS

     UTA IRP SCHOLARS:

Marah Townzen Funk, UTA, 9/2017-6/2019 Project Title: ``Mathematical Modeling of Dynamics of Calcium Codes for Drugs Evaluation''

     RESEARCH SCHOLARS:

Gavin Sabine, UTA, 9/2017-5/2018 Project Title: ``The Mathematics of Healing After Myocardial Infarction'' Position after B.S.: Ph.D. Student in Mathematics, Virginia Polytechnic Institute and State University (Virginia Tech), Blacksburg, Virginia

     UT LSAMP SCHOLARS:

Elizabeth Stephenson, UTA, 6/2016-8/2018 Project Title: ``Mathematical Modeling of Skeletal Muscle Regeneration'' Project Title: ``Mathematical Modeling of Dynamics of Calcium Codes for Drugs Evaluation'' Position after B.S.: Ph.D. Student in Mathematics, The Institute of Science and Technology Austria (IST Austria), Klosterneuburg, Austria

     URA SCHOLARS:

Ashley G. Carter, UTA, 5/2013-8/2013 Project Title: ``Opportunistic Co-Infection of Bacterial Pathogens: Competition for Resource and Host Survival in Neutropenic Patients with Polymicrobial Nosocomial Infections'' Position after B.S.: Medical Student, Alabama College of Osteopathic Medicine, Dothan, AL

     McNAIR SCHOLARS:

Wilber Ventura, UTA, 3/2011-5/2012 Project Title: ``Growth Cycle as a Function of Motility within Algal Mixotroph Prymnesium Parvum'' Position after B.S.: Ph.D. Student in Mathematics, University of Texas at Arlington, Arlington, TX

     UTTER SCHOLARS:

• M. DeBellevue, D. Nguyen, Z. Pang, V. Nguyen, M. Nashawi, K. Masha, A. Chagani, I. Nyangani; C. Nguyen, B. Cox, O. Oyediran, H. Shaikh, A. Carter, J. Gonzalez, O. Olawoyin, A. Toja; A. Calderon, R. Landrith, N. Le, I. Munoz, A. Dhillon, L. Grimes, W. Hall, K. Roche; S. Campos, S. Gauntt, M. Jackson, A. Lu, T. Vu, L. Dornberger, B.Hull, C. Mitchell, H. Shopp; J. Tran, K. Reed, K. Schalla, S. Sosa, T. Truong, T. Randolph, J. Rodriguez, W. Ventura, UTA, 8/2010-1/2015

HIGH-SCHOOL STUDENT SUPERVISIONS

John Michael Slezak, Grapevine High School, 7/2019-6/2020 Project Title: ``Nonstandard Finite Difference Methods for Differential Equations'' Position after H.S.: Undergraduate Student in Mathematics and Physics, Brown University, Providence, RI