AWM M. Gweneth Humphreys Award for Mentoring, 2020.

__ Current Course Websites on Moodle:__

MA232: Discrete Mathematics, Fall 2020: Module #1

MA311: Abstract Algebra (Rings), Fall 2020: Module #2

MA101, Fall 2019: Calculus 1 (01)

MA319-NT, Fall 2019: Number Theory

MA211, Spring 2020: Linear Algebra, Sections (02) and (03)

## Some Papers

·
Algebraic identities useful in the computation
of the Igusa local zeta function;, Algebraic Geometry and Number Theory,
A. Adolphson, S. Sperber, and M. Tretkoff (editors), AMS Contemporary
Mathematics Series, 133, 1992, 171-4.

·
The Igusa local zeta function associated with
the singular cases of the determinant and the Pfaffian, J. of Number Theory, 57
(1996), no. 2, 385-408.

·
The Igusa local zeta function of a non-trival
character associated to the singular Jordan algebras, Proc. Amer. Math.
Soc. 124 (1996), no. 9, 2655-60.

·
On the tabletop improvement experiments of Japan,
Production and Operations Management, 3, No. 3, Summer 1994, joint with Alan G.
Robinson.

·
Laboratories
in Mathematical Experimentation: A Bridge to Higher Mathematics (Projects
for a sophomore course in mathematical investigations; written by the members
of the Department of Mathematics and Statistics, Mount Holyoke College and
published by Springer in April 1997)

·
Mount Holyoke College Summer Research
Institute; Women in Mathematics: Scaling the Heights, Deborah Nolan
(editor), MAA Notes 46 (1997), 113-6.

·
An Introduction to Local Zeta Functions;, a
review of Jun-ichi Igusa's new book in Bulletin (New Series) of the American
Mathematical Society 38, No. 2, (2000) 221-227.

·
Igusa Local Zeta Functions of Elliptic Curves,
Mathematics of Computation, 71 (2001), no. 238, 815-823, (joint with Prof.
Diane Meuser, Boston
University).

·
Counting fixed
points, two-cycles, and collisions of the discrete exponential
function using p-adic methods,,
J. Austr. Math. Soc., 92 (2012), no. 2, 163 - 178,
(joint with Prof. Joshua Holden,
Rose-Hulman
Institute of Technology).

·
Counting Fixed Points and Rooted Closed Walks of the Singular Map x to x^{x^n} Modulo Powers of a Prime, P-Adic Numbers, Ultrametric Analysis, and Applications, 12 (2020), no. 1, 12-28 (joint with Prof Joshua Holden and Prof. Pamela Richardson), https://doi.org/10.1134/S2070046620010021.

## Research Experiences for Undergraduates (REU) Projects

·
P-adic analysis
and computing the Igusa local zeta function for irreducible curves (1992)

·
P-adic analysis
and the Igusa local zeta function for reducible curves and for surfaces with
bad reduction modulo p (1995)

·
The Igusa local
zeta function for elliptic curves and a related Poincare Series (1997)

·
The Igusa local
zeta function for elliptic curves using Tate's Algorithm (1999)

·
Number Theory
(2002)

·
Number Theory
(2005)

·
Number Theory
(2007)

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robinson@mtholyoke.edu