## HOM SIGMAA Student Paper Contest

For history of mathematics papers by undergraduates, sponsored by MAA’s Special Interest Group for the History of Mathematics.

#### 2022

First Place: Rye Ledford (University of Missouri – Kansas City)

"The Assumptive Attitudes of Western Scholars Regarding the Contributions of Mathematics from India: Assessing *yukti-s* from the *Yuktibhāṣā *of Jyeṣṭhadeva"

Second Place: Sarah Szafranski (University of Redlands)

"Estimations of \(\pi\): The Kerala School of Astronomy and Mathematics, The Gregory-Leibniz Series, and the Eurocentrism of Math History"

#### 2021

First Place: Megan Ferguson (Adelphi University)

“The *Suan shu shu* and the *Nine Chapters on the Mathematical Art*: A Comparison”

#### 2020

First Place: Jeffrey Powers (Grand Rapids Community College)

“Did Archimedes Do Calculus?”

#### 2019

First Place: Amanda Nethington (University of Missouri – Kansas City)

"Achieving Philosophical Perfection: Omar Khayyam's Successful Replacement of Euclid's Parallel Postulate"

#### 2018

First Place: Callie Lane (University of Missouri – Kansas City)

"Race to Refraction: The Repeated Discovery of Snell's Law"

Second Place: Christen Peters (Lee University)

"The Reality of the Complex: The Discovery and Development of Imaginary Numbers"

Second Place: Rachel Talmadge (University of Missouri – Kansas City)

"François Viète Uses Geometry to Solve Three Problems"

#### 2017

First Place: Amanda Akin (Lee University)

“To Infinity and Beyond: A Historical Journey on Contemplating the Infinite”

First Place: Johann Gaebler (Harvard University)

“Traditionalism: 1894 to 1925”

First Place: Nathan Otten (University of Missouri – Kansas City)

“Huygens and *The Value of all Chances in Games of Fortune”*

#### 2016

First Place: Brittany Anne Carlson (Salt Lake Community College)

“A Latent Element of Alice’s Agency in Wonderland: Conservative Victorian Mathematics”

First Place: William Cole (Lee University)

“The Evolution of the Circle Method in Additive Prime Number Theory”

#### 2015

First Place: Samuel Patterson (University of Missouri – Kansas City)

“Bernard Bolzano, a Genius Unnoticed in His Time”

First Place: Briana Yankie (Lee University)

“Examining Disproved Mathematical Ideas through the Lens of Philosophy”

#### 2014

First Place: Jenna Miller (University of Missouri – Kansas City)

"Casting Light on the Statistical Life of Florence Nightingale"

First Place: Anna Riffe (University of Missouri – Kansas City)

"The Impossible Proof: An Analysis of Adrien-Marie Legendre's Attempts to Prove Euclid's Fifth Postulate."

Second Place: Paul Ayers (University of Missouri – Kansas City)

“Gabriel Cramer: Over 260 Years of Crushing the Unknowns"

Second Place: Mary Ruff (Colorado State University – Pueblo)

“Probability to 1750”

#### 2013

First Place: Matthew Shives (Hood College)

"Paradigms and Mathematics: A Creative Perspective"

#### 2012

First Place: Jesse Hamer (University of Missouri – Kansas City)

“Indivisibles and the Cycloid in the Early 17th Century”

Second Place: Kevin L. Wininger (Otterbein University)

“On the Foundations of X-Ray Computed Tomography in Medicine: A Fundamental Review of the 'Radon transform' and a Tribute to Johann Radon”

#### 2011

First Place: Paul Stahl (University of Missouri - Kansas City)

“Kepler's Development of Mathematical Astronomy”

Second Place: Sarah Costrell (Brandeis University)

“Mathematics and Mathematical Thought in the Quadrivium of Isidore of Seville”

Second Place: Rick Hill (University of Missouri – Kansas City)

“Thomas Harriot's *Artis Analyticae Praxis* and the Roots of Modern Algebra”

#### 2010

First Place: Jennifer Nielsen (University of Missouri – Kansas City)

“The Heart is a Dust Board: Abu’l Wafa Al-Buzjani, Dissection, Construction, and the Dialog Between Art and Mathematics in Medieval Islamic Culture”

First Place: Palmer Rampell (Phillips Academy and Harvard University)

“The Use of Similarity in Old Babylonian Mathematics”

First Place: Stefanie Streck (Pacific Lutheran University)

“The Fermat Problem”

#### 2009

First Place: Nathan McLaughlin (University of Montana)

“The Mathematical Optics of Sir William Hamilton: Conical Refraction and Quaternions”

Second Place: Tim Chalberg (Pacific Lutheran University)

“Regression Analysis: A Powerful Tool and Riveting Drama”

Honorable Mention: Amy Buchmann (Chapman University)

“A Brief History of Quaternions and the Theory of Holomorphic Functions of Quaternionic Variables”

#### 2008

First Place: Mame Maloney (University of Chicago)

“Constructivism: A Realistic Approach to Math?”

Second Place: Woody Burchett (Georgetown College)

“Thinking Inside the Box: Geometric Interpretation of Quadratic Problems in BM 13901”

Second Place: Cole McGee (Colorado State University – Pueblo)

“Jean Le Rond D'Alembert: Biography of a Mathematician, Philosophe, and a Man of Letters”

Honorable Mention: Mame Maloney (University of Chicago)

“Pathological Functions in the 18th and 19th Centuries”

#### 2007

First Place: Rory Plante

“The *Libra Astronomica* and its Mathematics”

First Place: Douglas Smith (Miami University, Ohio)

“Lucas’s theorem: A Great Theorem”

#### 2006

First Place: Jennifer Wiegert

“The Sagacity of Circles: A History of the Isoperimetric Problem”

First Place: Samantha Reynolds (University of Missouri – Kansas City)

“Maria Gaetana Agnesi: Female Mathematician and Brilliant Expositor of the 18^{th} Century”

#### 2005

First Place: Newlyn Walkup (University of Missouri – Kansas City)

“Eratosthenes and the Mystery of the Stades”

Second Place: James Collingwood (Drake University)

“Rigor in Analysis: From Newton to Cauchy”

#### 2004

First Place: Mark Walters

“It Appears That Four Colors Suffice: A Historical Overview of the Four-Color Theorem”

First Place: Heath Yates (University of Missouri – Kansas City)

“An Emanji Temple Tablet”