Department of Mathematics and Philosophy

Mohktar Aouina

Mokhtar Aouina, Assistant Professor

Specializing in Algebra, Geometry, Analysis and Topology

Education

  • Ph. D., Wayne State University
  • M. S., Applied Statistics and Decision Analytics, Western Illinois University
  • M. S., Laval University, Canada
  • Post-Baccalaureate Certificate in Business Analytics, Western Illinois University
  • Diploma in Mathematics-Physics, Tunis Faculty of Sciences, University of Tunis II, Tunisia
  • B. S., Tunis Faculty of Sciences of Tunis II, Tunisia

Contact Information

Office: Morgan Hall 468
Phone: (309) 298-1114
Email: M-Aouina@wiu.edu

Courses Taught

  • Math 101: Concepts of Mathematics
  • Math 590: Interaction Between Mathematics and Biology
  • Math 599: Differential Geometry
  • Math 699: Computational Methods of Linear Algebra
  • Stat 171: General Elementary Statistics

Research Interests

Research: My main areas of interest are: algebraic topology and its applications, graph theory, geometric topology, and applied statistics & decision analytics.

Research with undergraduate students: I am also interested in doing research with undergraduate students at the junior or senior level to introduce them to interesting and advanced topics related to topology, algebra, geometry, algebraic topology and its applications, statistics, graph theory, data analysis, computer simulations, dynamical systems, mathematical modeling, computational methods of linear algebra, and graph theory.

Research with graduate students: I am interested in doing research with graduate students, assisting them to trust themselves and make a transition to become outstanding research students, and eventually publish in reputable scientific journals and magazines. Depending on the mathematical style and subject preferred by the student, topics of research can include topology, algebra, homological algebra, categorical theory, geometry, algebraic topology and its applications, geometry and physics, representation theory (Lie groups or Lie algebras), algebraic geometry, statistics, graph theory, data analysis, computer simulations, dynamical systems, mathematical modeling, computational methods of linear algera, and graph theory.

Recent refereed podium presentations & posters

  • Mokhtar Aouina, Gloria Nnabuike. New analytical approach to forecasting models and their applications. Graduate Research Conference, Western Illinois University, March (2016).
  • Mokhtar Aouina, M. Aghdam, D. LaFountain. Probing the shape of high-dimensional data with persistent homology. Illinois State Academy Of Science, April (2015).
  • Mokhtar Aouina, M. Aghdam, D. LaFountain. Probing the shape of high-dimensional data with persistent homology. Graduate Research Conference, Western Illinois University, March (2015).

Recently Graduated Master's Students Under My Advisement

  • Gloria Nnabuike, her thesis project title: New analytical approach to forecasting models and their applications, Spring 2016.

Selected Publications

  • Aouina, M. (2012). The moduli space of thickenings. Trans. Amer. Math. Soc. 364, 6689-6717.
  • Aouina, M., & Klein, J. (2006). On C.T.C. walls suspension theorem. Forum Math. 18, 829-837.
  • Aouina, M., & Klein, J. (2004). On the homotopy invariance of configuration spaces. Alg. & Geom. Topol. 4, 813-827.
  • Aouina, M. (2010). Combinatorics and algebraic topological methods applied to chromatic numbers of graphs, University Scholars, Jackson State University, 1-19.
  • Aouina, M. (2008). Topology and power series. University Scholars, Jackson State University, 1-8.
  • Aouina, M. (2002). A derivation of highly non linear model to simulate the rheology of viscoelastic polymer
    blends undergoing high deformation flows. ICEE/9, 27-28.
  • Aouina, M. (2001). Mosto Bousmina, Bushra Chaudhry, Robert Guénette and Rosario E. S. Bretas. Rheology of polymer blends: non-linear model for viscoelastic emulsions undergoing high deformation flows. Rheological Acta 40, 538-551.