Alexa Carr

Alexa is from the Kitsap Peninsula of WA state. She is a technical editor and writer based in Seattle, WA. Her areas of expertise include Physical Sciences writing, editing, and publishing, particularly in the disciplines of Remote Sensing, Geotechnical Engineering, Environmental Sustainability & Land Use, and applications of Artificial Intelligence. Following previously held positions as an educator, Alexa has also written Mathematics and Computer Skills instructional and curricula material. Her research experience surrounds Biological Mathematics, specifically, diagnostic procedures to minimize antibiotic resistance. Alexa's other professional experiences heavily emphasize operations and procedure development in new & growing, non-profit & for-profit, and local & international companies. Alexa holds a Bachelors degree in Mathematics with a minor in Computer Science, from the University of Portland, Portland OR.

Topics in Cybersecurity (Academic) •

Computer Security: Elliptic Curves

The definition of a group over an elliptic curve is the foundation of elliptic curve cryptography because the identity element and the inverse of all elements of groups are unique. This uniqueness is what provides the security of elliptic curves. Groups must have an associated binary operation that satisfies the properties of closure, associativity, existence of an identity element, an inverse for every element in the group.