When \(H(x)\) is a real-valued function of a real variable, the \(2\)-step recursion relation $$ x_{i+1} = H(x_i) – x_{i-1} $$ is said to be \(n\)-

The B. F. Bryant Prize for Excellence in Teaching is awarded annually to a graduate teaching assistant in the Department of Mathematics. The B.F. Bryant award was established in 1987 in honor of Billy F. Bryant, Professor of Mathematics, Emeritus, who taught at Vanderbilt from 1948 to 1986. The award is given each spring to a graduate teaching assistant who has demonstrated concern for and accomplishments in teaching, qualities that characterized the career of Professor Bryant.

Bjarni Jónsson Prize for Research

The Bjarni Jónsson Prize for Research is awarded each year to a graduate teaching assistant in the Department of Mathematics for exceptional research in mathematics, as well as for outstanding research potential. The Bjarni Jónsson Prize was established in honor of Bjarni Jónsson, Distinguished Professor of Mathematics, Emeritus, who taught at Vanderbilt from 1966 to 1992.

Richard J. Larsen Award for Achievement in Undergraduate Mathematics

Richard Larsen was a member of the faculty of the Department of Mathematics from 1970 to 2005. Richard’s primary focus in the Department of Mathematics was undergraduate education and administration. He served as the Director of Undergraduate Studies for seventeen years, from 1985 to 2002. When Professor Larsen retired in the spring of 2005, the Department established the Richard J. Larsen Award for Achievement in Undergraduate Mathematics in his honor. The award, along with a check for $500, is presented each spring to the senior math major judged by the faculty to have excelled in all aspects of undergraduate mathematics.

The Samir Aldroubi and Amira Azhari Prize for Excellence in Postdoctoral Research is awarded every two years to recognize the research achievements of current and recent postdoctoral fellows in the department. It was established by Mathematics Professor Akram Aldroubi in honor of his parents, Samir Aldroubi and Amira Azhari.

]]>for the Euler characteristic and is related to birational invariants of varieties. I’ll introduce this object, and show how it

arises from higher algebraic K-theory (which I will also introduce). I’ll also present applications of this result: lifting so-called

motivic measures (including the zeta-function!) to the infinite loop space level. ]]>