• Algebra : group theory, group representation theory, the representations of symmetric group.

                    My thesis adviser is Professor H. Ellers .

                    Solved Problems : Tsushima Y. , Nagao H. Chapter 1 exercises .

• Game Theory : Stackelberg games, Nash-Cournot equilibrium, electricity markets.

• Formal Concept Analysis : using concept lattices for analyzing social agents behavior, and the concept of trust .

Recent papers :

1. W. Peng, M. Racovitan & H. Wu: Geometric aspects of Sturm-Liouville problems, V. Natural loops of boundary conditions for monotonicity of eigenvalues and their applications, Journal of Spectral Mathematics and its Applications, 1, 2006. Available at

    http://www.math.niu.edu/~wu/JSMA/volume-2006.html

The paper was presented at the 2004 AMS Fall Central Section Meeting, Northwestern University, Evanston, IL, October 23 - October 24, 2004.

2. M. Racovitan, D. Sallach, Idealization, Uncertainty, and Heterogeneity: Game Frameworks Defined with Formal Concept Analysis, in Sallach, D.L., C.M. Macal, and M.J. North (editors), 2006, Proceedings of the Agent 2006 Conference on Social Agents: Results and Prospects, ANL/DIS-06-7. Paper presented at the Agent 2006 Conference on Social Agents, University of Chicago, September 21-23.