Ignoring heat of re-entry (so you jumped from a plane, not orbit):

You'd hit a terminal velocity higher than earths, even if you jumped where the pressure is ~1 atm, due to the higher force of gravity.

As you fall, the air gets thicker, but fails to transition into a liquid or solid state due to the rising temperature.

Because of the thicker air, you'll begin to slow, but continue to fall, never reaching a stop until you reach a density of air akin to that of your body (just shy of the density of water). It's still a gas, but quite densely packed (very high pressure, not healthy!). Here you'd overshoot a bit, but "float" back to the area where you are the same density as your surroundings. There won't be much of a splash, due to the gradual transition.

You'd be nowhere near the core, and quite dead if we weren't ignoring temp and pressure effects on you personally.