An Overview of Atmospheric Convection -- The Concept of Buoyancy and Its Application to Deep Moist Convection -- Pressure Fluctuations Associated with Deep Moist Convection -- Convective Storm Initiation and Organization -- Supercell Thunderstorms -- Tornadoes and Tornadogenesis -- Dynamical Aspects of Topography: The Role of Obstacles -- Thermodynamic Aspects of Topography: the Role of Elevation -- Topography: the Global Player in Meteorology -- Environmental Conditions Associated with Convective Phenomena: Proximity Soundings -- Development and Use of Climatologies of Convective Weather -- Ingredients-Based Forecasting -- Practical Aspects of Forecasting Severe Convection in the United States: Environmental Conditions and Initiation -- Practical Aspects of Forecasting Severe Convection in the United States: Storm Evolution and Warning -- General considerations on the operational forecasts of severe convective events: from medium to short range -- General considerations on the operational forecasts of severe convective events: from short range to nowcasting -- Weather Forecast Verification.