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Phys.org: "In the future it is quite possible that an inflatable structure(s) can generate a magnetic dipole field at a level of perhaps 1 or 2 Tesla (or 10,000 to 20,000 Gauss) as an active shield against the solar wind."

Along with the "In the future it is quite possible..." caveat we will still need to get help from the Vulcans to create additional planetary gravity on Mars strong enough to retain an atmosphere.

Don't hold your breath.... so to speak.

Oh, and the added gravity will also cause a stronger tidal force that will cause Phobos to tear itself apart and crash onto Mars sooner than expected. Splat.

Along with the "In the future it is quite possible..." caveat we will still need to get help from the Vulcans to create additional planetary gravity on Mars strong enough to retain an atmosphere.

Uh, no. Mars' gravity is strong enough to hold onto a decent atmosphere by itself, if that atmosphere can be protected from the solar wind. That's the whole idea.

No Vulcans. Phobos stays put. Mars gains an atmosphere and terraforming proceeds as planned. Carl moves to Mars.