The Richard V. Andree Awards are given annually to the authors of the papers, written by undergraduate students, that have been judged by the officers and councilors of Pi Mu Epsilon to be the best that have appeared in the Pi Mu Epsilon Journal in the past year.
Until his death in 1987, Richard V. Andree was Professor Emeritus of Mathematics at the University of Oklahoma. He had served Pi Mu Epsilon for many years and in a variety of capacities: as President, as Secretary-Treasurer, and as Editor of this Journal.
The following is a list of past recipients of the Richard V. Andree Award:
2022
Ben Doyle: The Luckiest Class Group: Testing the Cohen-Lenstra Heuristic
Ben Gobler: Listing the Rationals using Continued Fractions
Jasmine Wetter: Generalizations of Sylvester’s Proof that an odd perfect number is not divisible by 105
Justin Young: Special cases of an identity involving Theta series from binary quadratic forms
2021
Nart Shalqini, Franklin and Marshall College – N-Sociable Heronian Triangles
Ariko Stephen Philemon, Makerere University – Primality of Numbers of the Form AP^k+1
Peter Servatius, Bard College – Concerning Four-bar Linkages and their Topological Configuration Spaces
2019
Phillip Marmorino, Indiana University South Bend – On Difference Bases in One and Two Dimensions
2018
Lara Kassab, Lebanese American University – Understanding the center of 2×2 linear iterative systems
Jacob Hines, Hendrix College – Exploring finite-time blow-up of separable differential equations
2017
Richard Mandel, City College of New York – Computing the fixed field of Aut(F(x)/F)
Kevin Shuman, Edinboro University – A special case of the Morley trisector theorem
2016
Bradley Dougherty, Northwest Missouri State University – On the Average Value and the Mean Value Theorem for Integrals
2015
Elijah Soria, Saint Mary’s College of California – Some properties of k-Pell Sequences
2014
Sarah Ritchey, Youngstown State University – Points on a Circle and Integer Distances
2013
Zehao Li and Meng Zhu, Worcester Polytechnic Institute – Variable Continuation in Solving a Problem in Discrete Mathematics
Lauren Morey, University of Montana – An Integral Formula for Counting Perfect Matchings in Graphs
Siqi Zheng, – Necessary and Sufficient Conditions for Benford Sequences
2012
Austin Buscher, US Air Force Academy – Approximating Trigonometric Functions with Sums of Generalized Binomial Coefficients
Samantha Campbell, University of Richmond – From Graphs to Determinants to Matrices
Yiran Duan, University of Richmond – From Graphs to Determinants to Matrices
Hristiyan Hristov, Ernst & Young – From Graphs to Determinants to Matrices
Max Grinchenko, University of Richmond – From Graphs to Determinants to Matrices
2011
Robert Thijs Kozma, SUNY Stonybrook – Julia Sets of Perturbed Quadratic Maps Converging to the Filled Basilica
2010
Matt Alexander, Youngstown State University – A Curiously Rational Result
Dan Emmendorfer, Hope College – Classification of Geometric Spirals
Martha Precup, University of Notre Dame – Classification of Geometric Spirals
Ashley Warren, Otterbein College – Classification of Geometric Spirals
Alex Cameron, Hendrix College – Counting Ring Homomorphisms
2009
Giulia Fanti, Olin College of Engineering – Habitats on Costa Rican Jaguar Populations
Brian Nowakowski, Princeton University – Habitats on Costa Rican Jaguar Populations
Adam Shull, Valparaiso University – Properties of Ideal Divisors
John Holmes, Wabash College – Properties of Ideal Divisors
2008
Joseph David Gastenveld, Northern Kentucky University – Extensions that Yield Quasi p-Groups
Sharon J. Sternadel, Oregon State University – Circles in a One-Way Street Taxicab Model
Melissa Wasson, Hartwick College – Scaling Ratios and Self-Contact in Planar Asymmetric Trees
2007
Sarah Baker and Larisa Perolli The George Washington University Log concavity in lattice path matroids
2006
Colleen Hughes Denison University Linked Triangle Pairs in a Straight edge K_6
Sara Zasada Elmhurst College Working with Block Products
2005
Aja Johnson Elon University Strategies of a Sequenced Game of Chance
David Nash Santa Clara University Cayley Graphs of Symmetric Groups Generated by Reversals
Jared Williams Hendrix College Extending Wilson’s Theorem
2004
Stephen W. Hruska Wheaton College An Alternating Series Expansion for (ln(2))^2
Rebekah B. Johnson Wheaton College An Alternating Series Expansion for (ln(2))^2
Ryan L. Yates Wheaton College An Alternating Series Expansion for (ln(2))^2
Molly McGinty Washington & Lee University Geometric Probability for the Space-Time Plane
Peter Horn Hendrix College Modelling the Impact of Forest Fragmentation on Predator-Prey Populations
Ryan D. Westbrook Texas A&M University Modelling the Impact of Forest Fragmentation on Predator-Prey Populations
2003
First Place:
Patrick Hummel California Institute of Technology Solid constructions using ellipses
Second Place:
John M. Zobitz St. John’s University Pascal matrices and particular solutions to differential equations
Third Place:
Stephanie Libera St. Olaf College Some Perfect Order Subset Groups
Paul Tlucek St. Olaf College Some Perfect Order Subset Groups
2002
First Place:
Andrea Douglas Hope College Expected Areas of Randomly Generated Triangles
Courtney Fitzgerald Niagara University Expected Areas of Randomly Generated Triangles
Scott Mihailik University of Michigan Expected Areas of Randomly Generated Triangles
Kimberly L. Patti Saint Louis University Randomly Generating a Finite Group
2001
First Place:
Emilia Huerta-Sanchez Mills College Iteration of an Even-Odd Splitting Map
Aida Navarro-Lopez University of Puerto Rico in Humacao Iteration of an Even-Odd Splitting Map
David Uminsky Harvey Mudd College Iteration of an Even-Odd Splitting Map
John Griesmer Miami University Results Involving Continuity of the Derivative
2000
First Place:
Nitish Dass St. Olaf College The Determinant of a (m,n) Pretzel
Jonathan McGrath St. Olaf College The Determinant of a (m,n) Pretzel
Erin Urbanski St. Olaf College The Determinant of a (m,n) Pretzel
Brett Alan Enge James Madison University The Search for Tri-Operate Fields
Matthew J. Hale St. Xavier High School Circular Functions of Multiple Integral Angles
1999
First Place:
Xiaolong Ron Yu Worcester Polytechnic Institute Curious Numbers
Second Place:
Jack Samuel Calcut III Michigan State University Single Rational Arctangent Identities for Pi
Third Place:
Gina Garza Western Michigan University Which Graphs Have Planar Shadow Graphs?
Natascha Shinkel Western Michigan University Which Graphs Have Planar Shadow Graphs?
1998
First Place:
Johanna Miller Duke University Mauldin-Williams Graphs with Unique Dimension
C. Ryan Vinroot North Carolina State University Mauldin-Williams Graphs with Unique Dimension
Tricia Stone John Carroll University Where Do My Sequences Lead?
Loi Nguyen University of North Florida Seeing is Not Always Believing
Tu Tran University of North Florida Seeing is Not Always Believing
1997
1 Marc Fusaro University of Scranton A Visual Representation of the Sequence Space
1 Danica A. Nowosielski Russell Sage College Change Ringing: A Connection Between Mathematics and Music
1 Kerry Smith Seton Hall University Rearrangement of Series
1996
1 Rick Mohr Rose-Hulman Institute of Technology Nearness of Normals
2 Ryan Bennink Hope College Red Light, Green Light: A Model of Traffic Signal Systems
3 Carolyn Farruggia University of Scranton The Elimination of a Family of Periodic Parity Vectors in the 3x+1 Problem
3 Michael Lawrence University of Scranton The Elimination of a Family of Periodic Parity Vectors in the 3x+1 Problem
3 Brian Waterhouse University of Scranton The Elimination of a Family of Periodic Parity Vectors in the 3x+1 Problem
3 Mark Tomforde Gustavus Adolphus College Self-Similarity and Fractal Dimension of Certain Generalized Arthimetical Triangles
1995
1 Scott M. Wagner Hendrix College Group Generators and Subgroup Lattices
2 Kevin Dennis Michigan State University Sierpinski n-Gons
2 Julie Varbalow University of Kentucky An Application of Partitions to the Factorization of Polynomials over Finite Fields
2 Lars Seme Hendrix College Automorphisms of Hasse Subgroup Diagrams for Cyclic Groups
1994
1 Gina Aurello Seton Hall University On the Rearrangement of Infinite Series
2 Rychard J. Bouwens Hope College Who Gets the Washers? A Problem in Dividing Resources
3 Michael J. Reske Carthage College The Secret Santa Problem
1993
1 Jennifer DeBoer Michigan Technological University Non-Existence of Certain Unitary Perfect Numbers
2 James R. Murphy Michigan State University Uniform Embeddings of Graphs
2 Mohammad P. Shaikh Western Michigan University Uniform Embeddings of Graphs
3 Carol Clifton Middle Tennessee State University Some Operations on Matrix-Valued Expressions
3 Jeremy M. Dover Worcester Polytechinic Institute and The University of Delaware Outerplanar Graphs and Matroid Isomorphism
1992
1 Nataniel S. Greene Yeshiva University Fractorial!
2 Michael H. Lin Stanford University Rings of Small Order
3 Mark J. Lancaster Hendrix College On the Number of Invertible Matrices Over Zpe
1991
1 Amy Pinegar Middle Tennessee State University Inversions and Adjacent Transpositions
2 Shannon Spittler Miami University A Math Problem Within an Antique Clock Label
3 Judy Marie Kenney College of St. Benedict Turning Triangles into Circles
1990
1 Amy Dykstra Western Michigan University A Generalization of Odd and Even Vertices in Graphs
1 Michelle Shultz Western Michigan University A Generalization of Odd and Even Vertices in Graphs
2 Eric Berg A Family of Fields
3 Joel Atkins Rose-Hulman Institute of Technology Regular Polygon Targets
1988
1 James E. Georges California Polytechnic State University Maximal Polygons for Equitransitive Periodic Tilings
1 Annette M. Matthews Portland State University Maximal Polygons for Equitransitive Periodic Tilings
2 Melanie L. Butt Middle Tennessee State University Automorphism Groups of Hasse Subgroup Diagrams for Groups of Low Order
3 Robert A. Coury University of Washington A Continued Fraction Approach for Factoring Large Numbers
1987
1 Wah Keung Chan McGill University On the Largest RAT-Free Subset of a Finite Set of Points
2 Jennifer Zobitz College of St. Benedict Fractals: Mathematical Monsters
3 Kelley Ann Chambers University of Dayton The Isomorphism of the Lattice of Congruence Relations on a Group and the Lattice of Normal Subgroups of a Group
1986
1 Kirk Weller Hope College Lattices of Periodic Functions
2 John Reid Perkins Oakland University The Adequacy of { ~ , Æ,?} for Gödel Many-Valued Logics
3 Janet Eckoff Albion College Random Cantor Sets
1985
1 Donald John Nicholson Iowa State University A Ubiquitous Partition of Subsets of Rn
2 Ruth Brisbin Plant H.S. Taxicab Trigonometry
2 Paul Artola University of South Florida Taxicab Trigonometry
3 Julie Yancey Fort Lewis College Edge-Labelled Trees
1982
1 Bradley D. Strand Carleton College Vector Subspaces of Magic Squares
2 Karen Cunningham University of Texas at Arlington A Simple Model for Two Interacting Species and the Principle of Competitive Exclusion
3 Ravi Salgia Loyola University of Chicago Volume of An n-Dimensional Unit Sphere
1981
1 Gary Ricard South Dakota School of Mines and Technology A Comparison of Computer Algorithms to Solve for Knight’s Tour
2 Sandra L. Cousins Hendrix College Singular Functions
3 Michael L. Orrick, Jr. Macalester College The Area of a Triangle Formed by Three Lines
1980
1 Ziad Haddad UCLA Two Remarks on the Quaternions
2 Robert C. Smith University of Arkansas Uniform Algebras and Scattered Spaces
3 Alma E. Posey Hendrix College Rolling Cones
1979
1 Deborah L. Massari University of Akron The Probability of Generating A Cyclic Group
2 Julie D. Anderson Hendrix College Non-linear Additive Functions
3 Michael J. Young Portland State University A Matrix Model for Use in Population Ecology
1978
1 Robert Antol Iowa State University The Perfect Numbers and Pascal’s Triangle
2 Debra Lea Gutridge Muskingum College Mathematical Curiosities
3 Jackie L. Lawrence Western Kentucky University Numerical Integration by Polynomial Interpolation
1976
1 Brent Hailpern University of Denver Continuous Non-differentiable Functions
2 Philip D. Olivier Texas Tech University Two Applications of Pseudoinverses
3 Karen M. Lesko Central Missouri State University A Generalization to Almost Divisible Groups
1975
1 Daniel Minoli & Robert Bear Polytechnic Institute of New York Hyperperfect Numbers
2 Mary Zimmerman Western Michigan State University Matrix Multiplication as an Application of the Principle of Combinatorial Analysis
3 Lonnie J. Kuss Texas Tech University A Conformal Group on an n-Dimensional Euclidean Space
1974
1 Charles D. Keys Lousiana State University Graphs Critical for Maximal Bookthickness
2 S. Brent Morris Duke University The Basic Mathematics of the Faro Shuffle
3 H. Joseph Straight Western Michigan University Applications of Finite Differences to the Summation of Series
1973
1 S. W. Talley Western Kentucky University Niceness of the Socle and a Characterization of Groups of Bounded Order
2 Daniel Minoli Polytechnic Institute of New York Use of Matrices in the Four Color Problem
3 Roseann Moriello Seton Hall University Partial Differentiation on a Metric Space
1972
1 Sidney Graham The University of Oklahoma On “Almost Unitary Perfect” Numbers
1 Christopher Scussel Michigan State University Goldbach’s Conjecture
2 Joseph J. Buff New York University Characterization of an Analytic Function of a Quaternion Variable
3 Lee Ratzan Courant Institute of Mathematical Sciences Comments on the Properties of Odd Perfect Numbers
3 Frank L. Capobianco College of the Holy Cross Spec (R) for a Particular R
1971
2 Martin Swiatkowski John Carroll University Wronskian Identities
3 Thomas R. Bingham State University of the New York College at Fredonia Newton and the Development of the Calculus
1969
1 Robert L. Devaney College of the Holy Cross Lens Spaces as Coset Spaces
2 Michael Kopkas John Carroll University Partial Sums of Certain Infinite Series of Polygonal Numbers
3 Douglas Townsend Ohio State University A Generalization of Subnet with Some Resulting Improvements in Moore-Smith Convergence Theory
3 George Benkart Ohio State University A Generalization of Subnet with Some Resulting Improvements in Moore-Smith Convergence Theory
1968
1 Daniel E. Putnam University of Illinois An Easier Condition Than Total Boundedness
2 Jerome M. Katz Brooklyn College An Interesting Mapping of Two Fields
1967
3 Dennis Spellman Temple University On Hula Hoops
1966
1 James Williams Carleton College A Multiplication-Free Characterization of Reciprocal Addition