Author Archives: Edray Herber Goins, Ph.D.

About Edray Herber Goins, Ph.D.

Edray Herber Goins grew up in South Los Angeles, California. A product of the Los Angeles Unified (LAUSD) public school system, Dr. Goins attended the California Institute of Technology, where he majored in mathematics and physics, and earned his doctorate in mathematics from Stanford University. Dr. Goins is currently an Associate Professor of Mathematics at Purdue University in West Lafayette, Indiana. He works in the field of number theory, as it pertains to the intersection of representation theory and algebraic geometry.

Monodromy Groups and Compositions of Belyi Maps

A few weeks ago, I considered how the monodromy groups of Shabat polynomials change under composition by considering several examples.  I would like to explain a general phenomenon by considering the composition of Belyi maps on the sphere. Say that … Continue reading

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System of Equations for Computing Shabat Polynomials

A few weeks ago, Dong Quan Ngoc Nguyen (University of Notre Dame) came to visit here at Purdue.  We spoke a little about the computer package Bertini (created by Daniel Bates, Jonathan Hauenstein, Andrew Sommese and Charles Wampler) and whether the homotopy … Continue reading

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Monodromy Groups and Compositions of Shabat Polynomials

Last week, the great Naiomi Cameron visited me for a few days to discuss some new directions about Shabat polynomials.  I’ve been horrible about posting on this blog, so now that I’ve been motivated to work on Shabat polynomials again, … Continue reading

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“Jarden’s Property and Hurwitz Curves” by Robert A. Kucharczyk

Robert A. Kucharczyk has a new paper on the ArXiv entitled “Jarden’s Property and Hurwitz Curves”.

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“Enumeration of Grothendieck’s Dessins and KP Hierarchy” by Peter Zograf

Peter Zograf has a new paper on the ArXiv entitled “Enumeration of Grothendieck’s Dessins and KP Hierarchy”.

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“Generalized Onsager Algebras and Grothendieck’s Desssins d’Enfants” by Chernousov, Gille, and Pianzola

Vladimir Chernousov, Philippe Gille and Arturo Pianzola have a new paper on the ArXiv entitled “Generalized Onsager Algebras and Grothendieck’s Dessins d’Enfants”.

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“On computing Belyi maps” by Jeroen Sijsling and John Voight

Jeroen Sijsling and John Voight have a new paper on the ArXiv entitled “On computing Belyĭ Maps”.

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