Mapping the Pantheons
The basic conversion from Greek to Roman deity names is straightforward for the major Olympians, but it gets messy the deeper you go. I went through this process last year when I was cleaning up a mythology database and tried to standardize every entry. The short version is that the Romans largely absorbed the Greek pantheon during the early Republic, so most correspondences are well established. There are a few real gotchas though. Here's the working list I ended up using, with notes on the tricky ones: Zeus — Jupiter (not just "Jove," that's poetic shorthand, not the actual Roman name). Jupiter was already a sky god before the syncretism with Zeus, so his original character carried over into the merged identity. The agricultural functions Zeus had in some Greek traditions got stripped away and assigned to Ceres instead.
Hera — Juno. Juno had independent significance as a protector of women and childbirth before she absorbed Hera's marriage aspects. Don't treat them as identical; Juno's role in Roman state religion was broader than Hera's in Greece. Poseidon — Neptune. This one actually swapped importance. Poseidon was second only to Zeus in Greek power. Neptune was originally an Italian water god with no particular status until the Greeks started mapping their pantheon onto Roman institutions. By the Imperial period Neptune had been elevated artificially through this association. Athena — Minerva. Minerva started as an Etruscan goddess of crafts and trade. She absorbed Athena's war wisdom aspect. The martial side of Athena is where the merge is most obvious, but Minerva never really became a full war goddess in the Roman tradition the way Athena was in Greece.
Ares — Mars. Mars was far more important to Romans than Ares was to Greeks. He was a grandfather figure, father of Romulus and Remus, and a central divine ancestor. Ares was the despised god of brute slaughter. The correspondence works on the surface but the emotional weight of each god is completely different. Aphrodite — Venus. Venus had fertility associations before the Aphrodite merger. Like Mars, she carried more cultural significance in Rome. The love and beauty aspects were grafted onto an already established figure. Hephaestus — Vulcan. Straightforward enough. Vulcan was originally an industrial/fire god, which aligned well with Hephaestus's forge associations.
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Apollo — Apollo. No change. He was Greek in origin and adopted directly into Roman religion without a native equivalent. Same with Artemis — Diana was the native Italian counterpart, but Artemis and Diana are closer in role than most other pairs, which is why they're treated as distinct in most scholarly work. Hermes — Mercury. Mercury was already a god of commerce and eloquence. Hermes's trickster and messenger roles overlapped cleanly. This is probably the closest 1:1 match in the whole set. Demeter — Ceres. Pure agricultural equivalence. Clean transfer with no complications.
Hestia — Vesta. Vesta's cult was institutionally central to Rome through the Vestal Virgins. Hestia's role as keeper of the hearth translated well, but the Roman institution was far more politically significant than the Greek one.
Where It Gets Complicated
The Twelve Olympians don't map perfectly because the Roman list of major gods was structured differently. Some Greek deities simply have no Roman equivalent. Hades is the classic problem case — the Romans had Pluto (or Dis Pater), but he occupied a completely different conceptual space. Hades was the gloomy underworld king; Pluto was a wealth god whose chthonic associations came later through Greek influence. For most practical purposes they're treated as the same figure, but if you're doing rigorous comparative mythology work, that conflation obscures real differences. Athena and Minerva is another one people get wrong. Beginners often treat Minerva as purely the Roman Athena, but Minerva's three-part Capitolium triad role (with Jupiter and Juno) gave her a civic function that Athena never held in Athens. She wasn't just a translated Olympian; she was structurally embedded in Roman state religion. I ran into a specific issue when cataloging temple dedications. A Roman inscription from Pompeii referenced "Mars Gradivus" and I almost filed it under Ares. But Gradivus was a distinct Roman aspect of Mars — the god who leads armies into battle. Ares never had a gradive function. The two are related but not interchangeable, and conflating them in a taxonomy produces garbage results. I created a separate field for "Roman Martial Aspect" and tagged Gradivus there instead of forcing it into a straight Ares bucket.

Practical Workarounds
If you're building a database or working through translations, the cleanest approach is a dual-field system. Keep the Greek and Roman names as separate entries with a cross-reference link rather than trying to collapse them into one master list. This preserves the distinction where it matters and makes lookup trivial where it doesn't. For a quick reference table, the Wikipedia entry on "Roman gods" has a solid correspondence list, and the Perseus Digital Library's gazetteer is reliable for ancient source references. Neither will solve the Hades/Pluto problem or the Mars Gradivus edge case, but they cover the vast majority of entries without requiring deep expertise. The whole exercise usually takes about 20 minutes for a standard lookup, maybe 45 if you're dealing with minor deities or regional variants. That said, if you need exhaustive coverage — which is rare unless you're working academically — the process stretches significantly because the sources themselves are inconsistent. Different Roman authors used different equivalents, and the historical record shows the syncretism was often pragmatic rather than systematic.