The system of interacting electrons and holes confined in a lens-shaped InGaAs seJf-assembled dot is studied using exact diagonalization techniques. The single-particle energy spectrum of self-assembled dot is well approximated by that of a quasi-two-dimensional atom with parabolic lateral confinement. The electronic shell structure of self-assembled dot is responsible for a remarkable dependence of the absorption/emission spectrum on the number of excitons. This is explained in terms of hidden symmetries leading to a formation of coherent many-exciton states of weakly interacting excitons and bi-excitons.PACS numbers: . 73.20.Dx, 71.45.Gm, 78.66.Fd It has been recently demonstrated [1] that an epitaxial growth of strained InAs layers on GaAs is unstable and leads to a spontaneous formation of InAs-rich quasi-2D islands. The actual shape of these quasi-0D objects depends on the growth parameters and different forms have been reported [1][2][3]. We concentrate here on a class of lens-shaped InGaAs self-assembled dots (SAD's) investigated recently by single electron capacitance (SECS), photoluminescence (PL), and far-infrared (FIR) spectroscopies [1,[4][5][6]. The lens-shaped InGaAs SAD is formed on a InGaAs wetting layer (WL) of thickness t, grown on GaAs. The SAD is modeled as a part of a sphere with fixed height h and radius at the base s (see inset in Fig. 1). The structure is overgrown with GaAs. The discontinuities in the conduction and valence band energies between the SAD/WL material and the surrounding GaAs lead to the confinement of conduction electrons and valence holes in the InGaAs layer. Both electrons and holes are further localized in the area of the dot due to the effectively increased thickness of the WL, i.e. the effectively decreased energy of the lowest confined subband in the WL. The detailed calculation [7] shows that the resulting effective 1ateral potential in the SAD is well approximated by a parabola: 1/2m*ω20r2. Here m* is the effective mass of an electron and ω 0 is the (1108)