Ron Evans

Ronald J. Evans is a Professor of Mathematics at the University of California, San Diego (UCSD), affiliated with the Department of Mathematics within the Division of Physical Sciences. His academic career includes roles such as Graduate Vice Chair (2011-2013). He holds a Ph.D. in Mathematics from the University of Illinois (1974). His research focuses on Number Theory, Finite Fields, and Character Sums, with significant contributions to Gauss and Jacobi Sums, as detailed in his influential book *GAUSS AND JACOBI SUMS* (1998). His work integrates algebraic, analytic, and combinatorial methods, addressing topics like hypergeometric functions over finite fields, Pfaffians, and Toeplitz matrices.

Evans has authored over 120 publications, including studies on Kloosterman sums, hypergeometric identities, and combinatorial matrix theory. His book has been reviewed in leading journals like *Mathematical Reviews* and *Zentralblatt*. Beyond academia, he is a violist with the Fine Arts Quartet, collaborating with musicians like Ralph Evans. He advocates against academic boycotts of Israel, emphasizing the importance of scientific collaboration over political strife.

Key contributions include resolving sign ambiguities in Jacobi sums, analyzing character sums in finite fields, and exploring algebraic structures in quadratic forms. His recent work includes studies on nullities of Toeplitz matrices and class field theory applications. Despite no explicitly listed students or grants, his research has impacted algebraic number theory, combinatorics, and linear algebra.