Verified Certificate

Supported by the following organizations

This is to certify that R. VINODH KUMMAR successfully completed and received a passing grade in ASTRO112x: Cosmic Rays, Dark Matter, and the Mysteries of the Universe a course of study offered by WasedaX, an online learning initiative of Waseda University.

Noted by

Shoji Torii

Shoji Torii

Professor Emeritus, Distinguished Guest Research Professor, Department of Physics Director Waseda Institute for Space Science Observation Waseda University

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About edX Verified Certificates

An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.