Hot surface igniter assemblies used in cooktops are shown and described. The hot surface igniters include a silicon nitride ceramic body with an embedded, resistive, heat-generating circuit. The igniters are less than 0.04 inches thick, and when energized, they reach surface temperatures in excess of 2000° F. in under 4 seconds to ignite cooking gas such as propane, butane, or natural gas. Examples of cook top burner systems are also provided which allow the igniter to remain on after ignition at a power level that is lower than during ignition but high enough to ignite the cooking gas should a flame out occur. Examples are also provided of burners that ignite on a low flow setting (e.g., simmer) as opposed the high flow settings that are common in cook top industry.