Involve, a Journal of Mathematics Vol. 5, No. 1, 2012

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Vol. 5, No. 1, 2012

DOI: 10.2140/involve.2012.5-1

Elliptic curves, eta-quotients and hypergeometric functions

1–8

David Pathakjee, Zef RosnBrick and Eugene Yoong

Trapping light rays aperiodically with mirrors

9–14

Zachary Mitchell, Gregory Simon and Xueying Zhao

A generalization of modular forms

15–24

Adam Haque

Induced subgraphs of Johnson graphs

25–37

Ramin Naimi and Jeffrey Shaw

Multiscale adaptively weighted least squares finite element methods for convection-dominated PDEs

39–49

Bridget Kraynik, Yifei Sun and Chad R. Westphal

Diameter, girth and cut vertices of the graph of equivalence classes of zero-divisors

51–60

Blake Allen, Erin Martin, Eric New and Dane Skabelund

Total positivity of a shuffle matrix

61–65

Audra McMillan

Betti numbers of order-preserving graph homomorphisms

67–80

Lauren Guerra and Steven Klee

Permutation notations for the exceptional Weyl group $F_4$

81–89

Patricia Cahn, Ruth Haas, Aloysius G. Helminck, Juan Li and Jeremy Schwartz

Progress towards counting $D_5$ quintic fields

91–97

Eric Larson and Larry Rolen

On supersingular elliptic curves and hypergeometric functions

99–113

Vol. 5, No. 1, 2012

Vol. 5, No. 1, 2012

David Pathakjee, Zef RosnBrick and Eugene Yoong

Zachary Mitchell, Gregory Simon and Xueying Zhao

Adam Haque

Ramin Naimi and Jeffrey Shaw

Bridget Kraynik, Yifei Sun and Chad R. Westphal

Blake Allen, Erin Martin, Eric New and Dane Skabelund

Audra McMillan

Lauren Guerra and Steven Klee

Patricia Cahn, Ruth Haas, Aloysius G. Helminck, Juan Li and Jeremy Schwartz

Eric Larson and Larry Rolen

Keenan Monks