Research Research interests Numerical methods for PDEs arising in biology. Continuous and discrete structured population models. Numerical optimization methods. Publications A. S. Ackleh, B. Ma and T. Tang, A high resolution finite difference method for a model of structured Susceptible-Infected populations coupled with the environment, Numerical Methods for Partial Differential Equations, 33(2017), 1420-1458. http://onlinelibrary.wiley.com/doi/10.1002/num.22139/epdf A.S. Ackleh, R.A. Chiquet, B. Ma, T. Tang and H. Caswell, A. Veprauskas and N. Sidorovskaia, Analysis of Lethal and Sublethal Impacts of Environmental Disasters on Sperm Whales Using Stochastic Modeling, Ecotoxicology 26(2017), 820-830. https://link.springer.com/content/pdf/10.1007%2Fs10646-017-1813-4.pdf A.S. Aclkeh, H. Caswell, R. A. Chiquet, T. Tang and A. Veprauskas, Sensitivity analysis of the recovery time for a population under the impact of an environmental disturbance, Nature Resource Modeling, Online Link A. S. Ackleh, K. L. Sutton, T. Tang and L. Zhao, A Second Order Finite Difference Scheme for a Variable Infection-Structured Model of Mycobacterium marinum Dynamics in Aquatic Animals, Journal of Nonlinear and Variational Analysis, 2(2018), 177-202. (JNVA2018-Reprint) Jonathan Hauenstein and Tingting Tang, On semidefinite programming under perturbations with unknown boundaries, submitted. A. Veprauskas, A.S. Ackleh and T. Tang, Examining the effect of reoccurring disturbances on population persistence with application to marine mammals, Journal of Theoretical Biology, 455(2018), 109-117.https://www.sciencedirect.com/science/authShare/S0022519318303357/20180720T061000Z/1?md5=1caf53a102c8aa80f7792da8a501a57d&dgcid=coauthor D. Mehta, T. Chen, T. Tang and J. Hauenstein. The Loss Surface Of Deep Linear Networks Viewed Through The Algebraic Geometry Lens. ArXiv(main) Conferences and workshop A general coupled system of SI structured population model and its numerical approximation. AMS Meeting # 1105 Greensboro, NC, November 8-9, 2014. Assessment of the 2010 oil spill impact on deep diving marine mammals: Beaked whales. 2016 Gulf of Mexico Oil Spill Ecosystem Science Conference, Tampa, FL, Feb 1-4, 2016. A high resolution finite difference method for a model of structured Susceptible-Infected populations coupled with the environment. Joint AMS/MAA Mathematical Meeting, Atlanta, GA, January 4-7, 2017. Assessment of long term impact of the 2010 oil spill impact on beaked whales using passive acoustic data. Invited seminar, University of New Orleans, April 19th, 2017. Open Science for Synthesis: Gulf Research Program Workshop, July 10 – July 28, Santa Barbara, CA. Application of algebraic geometry to semidefinite programming. Invited talk, AMS Meeting # 1138 Nashville, TN, April 15-16, 2018. On Semidefinite Programming Under Perturbation with Unknown Boundary. Invited talk, SIAM, Portland, OR, July 9-13, 2018. The Sixth G. J. Butler International Conference on Differential Equations and Population Biology, Invited talk, Edmonton, Alberta, CA, July 23-27, 2018. Determine the Maximum Permissible Perturbation Set of SDP Problem With Unknown Perturbations. Invited talk, MOPTA, Bethlehem, PA, Aug 15-17, 2018. Markov Chain Monte Carlo Assisted method for finding all real solutions of nonlinear polynomial system, AMS Meeting #1142 Fayetteville, AR, Nov 3-4, 2018. Numerical methods for solving PDEs on real closed algebraic curves and surfaces, University of Notre Dame, ACMS Applied Math Seminar. Nov 15, 2018. A Variable Infection-Structured Model of Mycobacterium marinum Dynamics in Aquatic Animals, JMM 2019, Baltimore, MD, Jan 16-19, 2019. Application of algebraic geometry in deep linear network, AMS Meeting #1146, Auburn, AL, Mar 15-17, 2019 Understanding the short and long term impact of environmental disturbance on population dynamics using stochastic modeling with application in marine mammals, Colloquium, Andrews University, Mar 29, 2019. Understanding the loss surface of deep linear network with algebraic geometry, Applied Algebra Seminar, UW Madison, May 3, 2019. Numerical Methods and Simulations in Population Modeling and Numerical Algebraic Geometry, San Diego State University, Colloquium, Mar 21, 2019. Nonlinearity interval in parameteric semidefinite optimization, SIAM Algebraic Geometry, Bern, Switzerland, July 7-13, 2019.