I'm a third-year undergraduate student, preparing to apply for Ph.D. programs in physics (and aiming to do research in theoretical physics). I'm planning to graduate with a double major in mathematics and physics, and I have significant research experience in experimental high-energy physics (both as a research assistant for the past 3 academic years, and through several related REU programs). While I have not published anything, I have presented my work at symposia, and have contributed substantially to various software projects, data analysis efforts, and more.
Last summer, I completed IBM's "Machine Learning Professional Certificate" and "Full-Stack Software Developer Professional Certificate" programs on Coursera. I'm considering listing these on my CV (and perhaps in my application), however I'm not sure on what side of the line between resume filler and something more meaningful and substantial these lie.
Should I mention these and, if so, to what extent?