Elly Schwab-Agallidis (born Elly Agallidis, , ;  – ) was a Greek physicist/physical chemist and one of the first women in Greece to be awarded a PhD in the field. She was the wife of Georg-Maria Schwab, who met her in Munich as the supervisor of the experimental work for her doctoral thesis; the couple then worked together as researchers in the Kanellopoulos Institute after they emigrated in Greece. Her most famous work concerned the properties and reactivity of parahydrogen.