On the scientific work of Mikhail Shl�emovich Birman;List of publications of M. Sh. Birman;Representation theorems for solutions of the Helmholtz equation on mathbb {R}^n Kronig-Penney electron in a homogeneous electric field;A Minkowski type trace inequality and strong subadditivity of quantum entropy;Integrable operators;On the determination of a potential from three spectra;Oscillatory eigenvalue branches for Schr�odinger operators with strongly coupled magnetic fields;Schr�odinger operators with strong magnetic fields: Quasi-periodicity of spectral orbits and topology;Heavy atoms in the superstrong magnetic field;A parametrix for the nonstationary Schr�odinger equation;Comparison principles for nonlinear operator differential equations in Banach spaces;On disjointness of solutions to the MNS equations;On the negative eigenvalues of a class of Schr�odinger operators;Semiclassical asymptotics for the spectral shift function;On the number of negative eigenvalues for the two-dimensional magnetic Schr�odinger operator;Elliptic boundary problems with relaxed conditions;On the spectrum of the periodic magnetic Hamiltonian;Another look at Cwikel's inequality;The discrete spectrum in the singular Friedrichs model;Spectrum of the relative motion of many-particle systems in a homogeneous magnetic field: What do we know about it?