Kevin Broughan

Mathematician Kevin Broughan is the author of a number of scholarly articles and expository books about research problems in his field. These include the two-volume Equivalents of the Riemann Hypothesis (Cambridge University Press, 2017) and the Appendix to Dorian Goldfeld’s Automorphic forms and L-functions for the group GL(n,R) (CUP, 2006). Currently, Broughan is working on The Bounded Prime Gaps Story, an account of recent advances that tend

to show a solution to the twin primes conjecture could be within reach.

Broughan aims to write mathematics in a readable style without sacrificing any of the rigour or beauty to be found in the details of proofs. He enlivens his writing with details of the lives of the mathematicians whose work is being discussed, and incorporates visual materials such as plots, tables, and flow diagrams. He also includes definitions, appendices, and supplementary materials invaluable to research students, avoids jargon where possible, and deconstructs proofs into logical steps.

Broughan aims to exploit the deep relationships between proofs and programs by supplying, whenever possible, supplementary materials intended to help readers explore the materials using simple or complex programs in a widely used interactive symbolic/numeric/graphic language. These aids and tools are aimed in particular at mathematicians just beginning their careers researching promising directions related to major unsolved problems in number theory.

Broughan works in Hamilton, New Zealand, where is has been on the staff of the University of Waikato since graduating from Columbia University in New York 47 years ago, He is now an Emeritus Professor. Husband to Jackie Broughan, he is the proud father of two daughters,

one a New York-based artist, the other soon to graduate as a New Zealand vet. His hobbies include general reading, choral singing, gardening, walking, swimming, and boogie boarding,

For more information, visit www.math.waikato.ac.nz~kab