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Embark on a captivating journey through the world of mathematics in this illuminating lecture. Discover the often-overlooked role of mathematics in groundbreaking discoveries and inventions, moving beyond basic concepts like prime numbers and the Pythagorean theorem. Explore the real-world applications of advanced mathematical ideas such as polynomials and integrals, and learn about the unsung mathematicians behind world-changing scientific breakthroughs. Gain insight into how mathematics is currently being applied to solve pressing global challenges and shape our future. Conclude the lecture with a fascinating look at the intersection of mathematics and space sustainability, as presented by mathematician Caoimhe Rooney from Astroscale, U.S. Leave with a renewed appreciation for the importance, excitement, and innovation inherent in the field of mathematics.