Systems and methods for producing reference voltages are disclosed. An example bandgap reference circuit includes a core bandgap module that produces a bias control for biasing the gate of a transistor to produce a proportional to absolute temperature current. The core bandgap module may use an operational amplifier that uses auto-calibration to reduce its input offset voltage. A trimming module uses the bias control to produce a proportional to absolute temperature current that is combined with a trim current and supplied to a resistor and diode to produce a trimmed bandgap voltage. The trimmed bandgap voltage is buffered to produce a reference voltage output. The trim current may be set based on a room temperature measurement of the reference voltage output.