Research
My research focuses mainly on algebraic statistics, a field that integrates computational algebraic geometry, commutative algebra, and combinatorics to study statistical problems, with applications spanning biology and other domains. An aspect of my work involves studying invariants in statistical models, particularly those related to phylogenetics, such as characterizing invariants of phylogenetic network models and mixtures of phylogenetic tree models. I also explore the algebraic complexity in solving statistical optimization problems, including maximum likelihood estimation and Wasserstein distance optimization.
My broader research extends to epidemiology, where I use mathematical models to analyze disease co-infections and optimize control strategies.
I am an advocate of collaborative research efforts, as it enriches ideas and drives innovative solutions. I am grateful to have worked alongside a remarkable group of collaborators, whose expertise has been invaluable in advancing our collective research goals.
ML Degrees of Brownian Motion Tree Models: Star Trees and Root Invariance, (2024), arXiv:2402.10322.
Extended abstract accepted for presentation at the MEGA 2024 conference.
Submitted to the Journal of Symbolic Computation (Special Issue for MEGA 2024).
With Coons, Jane Ivy, Shelby Cox, and Aida Maraj.
Degrees of the Wasserstein Distance to Small Toric Models, (2024), arXiv: arxiv.org/abs/2402.09626.
Accepted for publication in the Algebraic Statistics Journal.
With Greg DePaul, Serkan Hoşten, and Nilava Metya.
The Pfaffian Structure of CFN Phylogenetic Networks, 2023, arXiv:2312.07450.
With Joseph Cummings, Elizabeth Gross, Benjamin Hollering, and Samuel Martin.
Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative, 2023, Mathematical Modelling and Numerical Simulation with Applications, 3(2), 111-140.
With Udoka Benedict Odionyenma, and Bolarinwa Bolaji.
Optimal control of chlamydia model with vaccination, 2022, International Journal of Dynamics and Control 10, 332–348.
With Udoka Benedict Odionyenma, Andrew Omame, Nneka Onyinyechi Iheonu.
Analysis of COVID-19 and comorbidity co-infection model with optimal control*, 2021, Optimal Control: Application and Methods, 42(6): 1568–1590.
With Andrew Omame, Ndolane Sene,Cosmas I. Nwakanma, Emmanuel U. Nwafor, Nneka O. Iheonu, and Daniel Okuonghae.
On The Computation of Character Tables for Some Symmetric Groups Sn, n=3, 4, and 5, 2018, Asian Journal of Mathematics and Computer Research, 25(2), 85-96.
With Martin C. Obi, and Henry Azubuike.
*This paper was one of the most downloaded paper in its first year of publication (picture below).
