Edray Herber Goins

2002 in Paris

Born: June 29, 1972; place: Los Angeles, California

B.S. (1994) California Institute of Technology

Ph.D. (1999) Mathematics, Stanford University

thesis:Elliptic Curves and Icosahedral Galois Representations; Advisor: Daniel Bump and Karl RubinAssistant Professor of Mathematics Purdue University

personal or university URL:

http://homepage.mac.com/ehgoins/

email:Edray was raised, along with his brother, by his mother in South Central Los Angeles,. His mother was a school teacher, Edray credits her " and other teachers in the public schools he attended with encouraging and motivating him to study hard and to take an additional learning challenges."

Even at young age, Edray had a thirst fo knowledge. He asked his teachers to let him study ahead or subjects not part of the curriculum. Correspondingly, during graduate school and the postdoctoral positions he's held, Goins has made a consistent effort to mentor Black and other minority students seriously interested in mathematics and science. Students my enjoy his

Diary of a Black Mathematician. For his own personal enjoyment, Edray plays the piano and harpsichord.After earning his Ph.D. in Number Theory at Stanford university, Dr. Goins was a post-doc at MSRI (Mathematical Sciences Research Institute) from August 1999 to September 1999. Then he was a post-doc at Institute for Advanced Study (see list of Black Mathematician official visitors to the

IAS) from September 1999 to June 2000. From 2001 to 2004 he was the Irvine Visiting Professor and Taussky-Todd Instructor at California Institute of Technology. In the Fall of 2004. He became an Assistant Professor of Mathematics at Purdue University. His colloquia are to this mathematician,like sounds of golden nector.RESEARCH

Goins' Research Interests: Number Theory, Elliptic Curves, Modular Forms, Mod p Representations

.

PUBLICATIONS

Goins, Edray;Icosahedral Q-Curve Extensions, Math. Res. Lett. 10 (2003), no. 2-3.Goins, Edray;Togbe, Alain.Pythagorean quadrupletsGoins, EdrayA ternary algebra with applications to binary quadratic forms.Council for African American Researchers in the Mathematical Sciences, Vol. IV (Baltimore, MD, 2000),7--12, Contemp. Math., 284,Amer. Math. Soc., Providence, RI,2001.Goins, Edray HerberArtin's conjecture and elliptic curves. Contemp. Math., 275,39--51,Amer. Math. Soc., Providence, RI,2001.Currie, M. R.;Goins, E. H.The fractional parts of $\frac nk$.Council for African American Researchers in the Mathematical Sciences, Vol. III (Baltimore, MD, 1997/Ann Arbor, MI, 1999),13--31, Contemp. Math., 275,Amer. Math. Soc., Providence, RI,2001.

**Papers in transition:**

Heron Triangles via Elliptic Curveswith Davin Maddox

Rocky Mountain Journal of Mathematics (To appear)On the Modularity of Wildly Ramified Galois Representations

SubmittedExplicit Descent via 4-Isogeny on an Elliptic Curve

SubmittedHeron Triangles, Diophantine Problems and Elliptic Curveswith Garikai Campbell

SubmittedExtending the Serre-Faltings Method for Q-Curves

In Preparation

references:2004 Emerging Scholars of the Year, Black Issues in Higher Education, Janaury 15, 2004, pg. 28; Dr. Goins web pages from Stanford, Cal. Tech, Purdue and http://homepage.mac.com/ehgoins/; the Mathematics Geneology Project

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