On some cars, a low oil pressure signal shuts off the fuel pump. A careful reading of your model’s electrical diagram would disclose this.
A low oil pressure light is not proof of low oil pressure. The oil pressure sender unit is usually inexpensive and easy to replace. If you want to do some DIY, consider changing it. Otherwise, a mechanic can hook up a mechanical pressure gauge to read the oil pressure - although a mechanic might replace the OP sender as a first step, anyhow.
To further investigate, you’d want to find out if a stall and not restart condition involves lack of fuel or lack of spark.