<p>Jude Socrates received his Ph.D. in Mathematics (Number Theory) from the California Institute of Technology in 1993, <span style="font-size: 10pt;">under the direction of Prof. Dinakar Ramakrishnan. He has been on the full-time faculty of Pasadena City College since </span><span style="font-size: 10pt;">that year.</span></p><p> </p><p><br />Professor of Mathematics, Pasadena City College <br /><br />Member of the faculty since 1993. <br /><br />E-mail: jtsocrates @ pasadena.edu </p>