Random Curves: Journeys of a Mathematician

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9783540740773: Random Curves: Journeys of a Mathematician

Neal Koblitz is a co-inventor of one of the two most popular forms of encryption and digital signature, and his autobiographical memoirs are collected in this volume. Besides his own personal career in mathematics and cryptography, Koblitz details his travels to the Soviet Union, Latin America, Vietnam and elsewhere; political activism; and academic controversies relating to math education, the C. P. Snow "two-culture" problem, and mistreatment of women in academia. These engaging stories fully capture the experiences of a student and later a scientist caught up in the tumultuous events of his generation.

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About the Author:

Neal Koblitz is a Professor of Mathematics at the University of Washington in the Department of Mathematics. He is also an adjunct professor with the Centre for Applied Cryptographic Research at the University of Waterloo. He is the creator of hyperelliptic curve cryptography and the independent co-creator of elliptic curve cryptography. Professor Koblitz received his undergraduate degree from Harvard University, where he was a Putnam Fellow, in 1969. He received his Ph.D. from Princeton University in 1974 under the direction of Nickolas Katz.

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"Random Curves: Journeys of a Mathematician has recently been published by Springer Verlag. a ] focuses on Koblitza (TM)s life and his many journeys. a ] serve as a travelogue as well as an autobiography, and give a different perspective on some of the countries than one might find elsewhere. a ] Random Curves is a fun read and an interesting insight into the mind of a prolific and active mathematician." (Darren Glass, MathDL, March, 2008)

“Neal Koblitz is my kind of guy. How do I know? I've never met him, never even saw him on a platform at the AMS or MAA. But I've just read his memoir, Random Curves. He doesn't pull his punches. He knows right from wrong. He speaks truth to power! Koblitz attended Harvard College from 1965 to 1969. He majored in math and organized for the Progressive Labor Party, a Mao-ist oriented anti-war organization. In those days many people thought of Mao Tse-Tung as an ascetic poet-of-the-people type of revolutionary, uniting the best qualities of Vladimir Lenin, Charles DeGaulle and Mother Teresa. Nowadays, quite the opposite, one finds plentiful books and articles exposing Mao as a disgusting, hypocritical monster. But unlike the usual respectable academic with radical episodes in his youth, Koblitz never apologizes for his early politics. He just frankly tells what it was like. With relish. [...] But he has done much more than just teach number theory and publish papers. He has traveled and spent long periods living in those territories to which travel was largely forbidden or restricted in cold-war America, including the Soviet Union, Cuba, North Vietnam, Nicaragua and El Salvador. He tells about mathematical life and ordinary daily life in those terrae incognitae freshly and frankly. Moreover, back in Seattle he tried really hard to "serve the people" - that is, to teach classes that meet the needs of ordinary undergraduates, and even ordinary little children in elementary school. Needless to say, his efforts to do good were rewarding and worthwhile, but he also met senseless and pointless frustrations and obstacles. [...] It has turned out that exotic number theory has a significant payoff in cryptography! Nowadays coding of confidential information often is based on the Rivest-ShamirAdleman method, which uses the simple fact that it is much easier to multiply two very large prime numbers together, than it is to factor the product back, to find those two prime factors. Long ago, Henri Poincaré discovered a sophisticated kind of “multiplication”, which used elliptic curves to define a new kind of “product” of rational numbers. Neal Koblitz and Victor Miller both had the idea to use elliptic multiplication as a coding method. This method turns out to have significant practical advantages, and consequently Neal Koblitz was transformed into an applied mathematician, leading conferences on cryptography, and involved-no surprise!!-in sensational controversies with Eminent Authorities in the world of cryptography. The title “Random Curves” comes from this work in cryptography. He has written a fascinating chapter where he contrasts the two cultures-not the stale old literary and scientific “Two Cultures” of C.P. Snow, but rather the two cultures of academic pure mathematics and hard cash, big money cryptography.” (Ruben Hersh, The College Mathematics Journal, 40:2, March 2009)

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