List it in both.
The education section is typically just a list of degrees and dates. It states the official certifications that you have received and can prove with documentation. This should include your field and maybe a focus area, but not much detail. You might also include your dissertation and any other papers in a separate Publications section.
Work experience lists all of the jobs and positions you had during that time. This is where you explain in more detail your research, job responsibilities, and professional skills. I would list your Work Experience higher than Education if you are applying in industry.
Applying for jobs in academia is completely different than industry, and for that I would look for advice from Academia SE on how to properly organize a CV.