Carlson is a 1994 graduate of the California Institute of Technology. She went to the University of California, Los Angeles for graduate study, earning a master's degree in 1995 and completing her Ph.D. in 2000.
After postdoctoral research at Boston University, she joined the Purdue faculty in 2003.
Carlson was named a Fellow of the American Physical Society (APS) in 2015, after a nomination from the APS Division of Condensed Matter Physics, "for theoretical insights into the critical role of electron nematicity, disorder, and noise in novel phases of strongly correlated electron systems and predicting unique characteristics". Purdue University named her as a 150th Anniversary Professor in 2018.

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