Department of Mathematics

Edray H Goins

Last updated on August 8, 2012.

You may find some interesting references for Edray Herber Goins on:

arXiv.org
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MathSciNet
Microsoft Academic Search
the On-Line Encyclopedia of Integer Sequences
Wolfram Demonstrations Project


Refereed Publications

With Kevin Mugo, Points on Hyperbolas at Rational Distance. International Journal of Number Theory, Vol. 8, No. 4 (2012), pgs. 911-922.

Semi-Magic Squares and Elliptic Curves. Missouri Journal of Mathematical Sciences, Vol. 22 (2010), no. 2, pgs. 102 - 107.

With Talitha Washington, Sphere-of-Influence Graphs. Wolfram Demonstrations Project. (February 4, 2010)

With Talitha Washington, A Tasty Combination: Multivariable Calculus and Differential Forms. The Pentagon: The Journal of Kappa Mu Epsilon, Fall 2009, pgs. 11-28.

Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins. INTEGERS: The Electronic Journal of Combinatorial Number Theory, Vol. 9 (2009), pgs. 725-734.

With Florian Luca and Alain Togbe, On the Diophantine Equation x2 + 2α 5β 13γ = yn. Algorithmic Number Theory Seminar (ANTS-VIII); LCNS 5011 (2008), pgs. 430-442.

With Alain Togbe, Pythagorean Quadruplets. International Journal of Pure and Applied Mathematics, Vol. 35 (2007), no. 3, pgs. 363 - 372.

With Davin Maddox, Heron Triangles via Elliptic Curves. Rocky Mountain Journal of Mathematics, Vol. 36; (2005), no. 5, pgs. 1511 - 1526.

Icosahedral Q-curve Extensions. Math Res. Lett. 10 (2003), no. 2-3, pgs. 205-217.

A Ternary Algebra with Applications to Binary Quadratic Forms. Council for African-American Researchers in the Mathematical Sciences, Vol. IV; Contemp. Math. 284 (2001), pgs. 7 - 12.

Artin's Conjecture and Elliptic Curves. Council for African-American Researchers in the Mathematical Sciences, Vol. III; Contemp. Math. 275 (2001), pgs. 39 - 51.

With Mel Currie, The Fractional Parts of n/k. Council for African-American Researchers in the Mathematical Sciences, Vol. III; Contemp. Math. 275 (2001), pgs. 13 - 31.

With Mel Currie, On the Distribution of Fractional Parts. Internal publication of the National Security Agency. (1997).


Publications In Press

With Jing Ma, Susan Margulies, and Illya V. Hicks, Branch Decomposition Heuristics for Linear Matroids, 29 pp. Journal of Discrete Optimization. Accepted April 29, 2012.

With Talitha Washington, On the Generalized Climbing Stairs Problem, 8 pp. Ars Combinatoria. Accepted July 24, 2009.


Publications Submitted

With Talitha Washington, The Area of the Surface Generated by Revolving a Graph About Any Line, 8 pp. Submitted June 11, 2012.

With Asamoah Nkwanta, Riordan Matrix Representations of Euler's Constant γ and Euler's Number e, 16 pp. Submitted August 19, 2011.

Which Ellipses Go Through Four Points? Wolfram Demonstrations Project. Submitted April 7, 2011.

Explicit Descent via 4-Isogeny on an Elliptic Curve, 20 pp. Conditionally Accepted April 8, 2010.

Extending the Serre-Faltings Method for Q-Curves, 15 pp.


Lecture Notes

Research Experiences for Undergraduate Faculty (REUF4)
American Institute of Mathematics / ICERM
Lecture Notes | Dessin d'Enfant Explorer

Ma 162b: Galois Representations
Department of Mathematics, California Institute of Technology
Winter 2004


Invited Lectures

Galois Representations and L-Series: A Tour Through Mathematics
Claytor-Woodard Lecture, Joint Mathematical Meetings
January 2011

Why Should I Care About Elliptic Curves?
David Blackwell Lecture, MAA MathFest
August 2009

Where Have All the Black Students Gone?
Professionally Speaking Lecture Series, Minority Student Education
February 2003

Freshman Summer Institute: Research Lectures
Minority Student Affairs, California Institute of Technology
Conjectures and Prime Numbers | Recursion Formulas | The Unit Circle | Fourier Analysis | Harmonic Motion to Chaotic Behavior


Miscellaneous Publications

Elliptic Curves and Icosahedral Galois Representations
Doctoral Thesis, Department of Mathematics, Stanford University (1999)

Ol' Time Religion in a Brave New World
Senior Thesis, Department of History, California Institute of Technology (1994)

History of Caltech's Underrepresented Students
Caltech Summer Undergraduate Research Project (1993)