ar X iv : h ep - p h / 06 06 05 0 v 1 5 Ju n 20 06 The Role of Invariant Functions in Understanding Masses and Mixings

One of the central questions in theoretical particle physics, since already several decades, has been that of " masses and mixings of the quarks. With the entry of neutrino oscillations into the field, the issue of lepton masses has added a new dimension to the problem. In the literature one finds many models of quark and lepton mass matrices. However, the mass and mixing problems remain unsolved. In this talk I will present my own contributions to this field, however as you may expect without offering a solution. I encourage you to go ahead and think about the problem but be aware of the pitfalls.