Contributed talks/posters at professional meetings
NOTE: Starting
Fall 2020, the Mathematics and Statistics Department is replaced by two
programs in the School of Science, Technology, and Mathematics: the
Mathematics program, and the Statistics program. The records for The Mathematics and Statistics Department cease here. From here on, our records will involve the Mathematics program only.
- Steven Manns: "Derivation of the (Closed-Form) Particular Solution of the Poisson’s Equation in 3D Using Oscillatory Radial Basis Function", 2019 Undergraduate Math Day, Dayton, OH [advisor Dr. Anup Lamichhane]
- Dr. Todd France, Kaity Kelly, Megan Meyer, Will Sierzputowski and Dr. Tena Roepke: “Bridging the Span between Math and Engineering with Spaghetti” (OCTM 2019 Conference, Sandusky, OH) [advisors Dr. Todd France and Dr. Tena Roepke]
- Steven Manns: "A (Closed-Form) Particular Solution of the Poisson Equation in 3D" - 2019 Ohio MAA Fall Meeting - Shawnee State University [advisor Dr. Anup Lamichhane]
- Samuel Powell: "Applications of Group Theory in Chemistry" - 2019 Ohio MAA Fall Meeting - Shawnee State University [advisor Dr. Anup Lamichhane]
- Bradley Lockhart: "Force Propagation in a Multi-Rod Drumstick" -
2019 Ohio MAA Spring Meeting - The University of Akron, April 5 – 6
[advisor Dr. William Fuller]
- Jack Raney: "Multivariable Data Fitting by Using Radial Basis
Function" - 2019 Ohio MAA Spring Meeting - The University of Akron,
April 5 – 6 [advisor Dr. Anup Lamichhane]
- Yu Wakayama: "Solving Poisson’s equation by using Method of
particular solutions with the Oscillatory Radial Basis Function in 2D" -
2018 Ohio MAA Fall Meeting, Malone University, October 27, 2018
[advisor Dr. Anup Lamichhane]
- Aaron Kemats and Travis Maenle: "Linear Complexities of Quadratic
Residues and Primitive Roots Spacings"- 2018 Ohio MAA Fall Meeting,
Malone University, October 27, 2018 [advisor Dr. Mihai Caragiu]
- Shannon Tefft: "Processing Quadratic Residues with Ducci
Iterations" - 2018 Ohio MAA Fall Meeting, Malone University, October 27,
2018 [advisor Dr. Mihai Caragiu]
- Rachel Liebrecht et al. : "On maximum packings of lambda-fold
complete 3-uniform hypergraphs with loose 3-cycles", MCCCC 32 – Midwest
Conference on Combinatorics and Combinatorial Computing, Duluth, MI,
October 5-7 2018 (major peer-reviewed conference) [2018 REU at Illinois
State University - group presentation]
- Dr. Tena Roepke, Addison Carter, Rachel Liebrecht and Shannon
Tefft: "Combatting Mathematical Misconceptions", 68-th OCTM Annual
Conference, Akron OH, October 11-12 2018 [Advisor Dr. Tena Roepke]
- Emma Talley: "With Replacement or Without Replacement or..." - 2018
Pi Mu Epsilon Student Conference, Miami University [advisor Dr.
Laurence Robinson]
- Alexander Sube: "Particular Solutions for the Laplace Operator
using Oscillatory Radial Basis Functions" - 2017 Ohio MAA Fall Meeting,
Ohio University East, October 27, 2017 [advisor Dr. Anup Lamichhane]
- Takumi Kijima: "Naive Bayes Classifiers" - 2017 Ohio MAA Fall
Meeting, Ohio University East, October 27, 2017 [advisor Dr. Mihai
Caragiu]
- Aaron Kemats: "A Fibonacci-Lucas Experiment" - 2017 Ohio MAA Fall
Meeting, Ohio University East, October 27, 2017 [advisor Dr. Mihai
Caragiu]
- Emma Talley and Kayla Rieman: "Deal or No Deal: Can We Predict the
Banker's Offer?" - 2017 Pi Mu Epsilon Student Conference, Miami
University [advisor Dr. Laurence Robinson]
- Michelle Haver: "Classification of numerical sequences originating
from recursive polynomial sequences", 2017 Nebraska Conference for
Undergraduate Women in Mathematics, February 4, 2017 [REU in
Experimental Mathematics at Michigan State]
- Michelle Haver et al.: "Classification of numerical sequences
originating from recursive polynomial sequences", Joint Mathematics
Meetings, Atlanta GA, January 5, 2017 [REU in Experimental Mathematics
at Michigan State]
- Michelle Haver: "Closed Forms of Recursive Polynomial Sequences and
Combinatorial Identities", 2016 Math Fest, Columbus, OH, August 4,
2016 [REU in Experimental Mathematics at Michigan State]
- Michelle Haver: "On the R. Lemke Oliver - K. Soundararajan recent "prime conspiracy", Spring 2016 Centennial Meeting of the Ohio MAA, Ohio Northern University [advisor Dr. Mihai Caragiu]
- Nathan Knodel and William Fuller: "An Exact Solution for a Duffing
Oscillator", Fall 2015 meeting of the Ohio MAA, Capital University
[advisor Dr. William Fuller]
- Lacey Hittle: "Progression on Regression" 2014 Pi Mu Epsilon Student Conference, Miami University [advisor Dr. Ryan Rahrig]
- Zachary Soja: "The Case of The Disappearing Tablet", 2014 MAA Fall Meeting, University of Wittenberg [advisor Dr. William Fuller]
- James Rader: "Gold Glove Winners: Baseball Statistics", 2014 MAA Fall Meeting, University of Wittenberg [advisor Dr. Ryan Rahrig]
- Kerry DuLaney: "Exploring Gears and Watchmaking", 2014 MAA Fall Meeting, University of Wittenberg [advisor Dr. Donald Hunt]
- Nathan Knodel: "Scaling, Sneezes and the Elephant's Trunk" 2014 MAA Spring Meeting, Toledo, OH (April 2014) - [advisor: Dr. William Fuller]
- Emily Barbee: Another Downfall With Using Facebook, 2013 Pi Mu Epsilon Student Conference, Miami University - [advisor: Dr. Ryan Rahrig]
- Lacey Hittle: Living With Loans, 2013 Pi Mu Epsilon Student Conference, Miami University [advisor: Dr. Ryan Rahrig]
- Thomas Steinberger: Arithmetical Functions On Gaussian Integers (poster presentation) 2013 MAA Undergraduate Poster Session, San Diego- [advisor: Dr. Mohammad Zaki]
- Jonathan C. Schroeder: A Uniform Distribution Result for k-Paradoxical Directed Graphs (poster presentation) 2013 MAA Undergraduate Poster Session, San Diego - [advisor: Dr. Mihai Caragiu]
- James Rader: Gold Glove Winners (poster presentation) 2013 MAA Undergraduate Poster Session, San Diego - [advisor: Dr. Ryan Rahrig]
- James Rader: Quantifying Defensive ability in Baseball, 2012 Pi Mu
Epsilon Student Conference, Miami University - [advisor: Dr. Ryan
Rahrig]
- Emily Barbee: Are the Statistics Really Statistics? - 2012 Pi Mu
Epsilon Student Conference, Miami University [advisor: Dr. Ryan Rahrig]
- Johnathan Neville: What Difference Can A Single Game Make? - 2012
Pi Mu Epsilon Student Conference, Miami University [advisor: Dr.
Laurence D. Robinson]
- Hannah DePriest: How Much Does One Point Matter? - 2012 Pi Mu
Epsilon Student Conference, Miami University [advisor: Dr. Ryan Rahrig]
- Joanna Snyder: Hot Hand - 2012 Pi Mu Epsilon Student Conference, Miami University [advisor: Dr. Ryan Rahrig]
- Caitlin Zook: My Relentless Struggle with a Sangaku Problem - 2012
Ohio MAA Spring Meeting, Xavier University - [advisor: Dr. Donald Hunt]
- Tommy Steinberger: On Bernoulli's Inequality, 2012 Michigan
Undergraduate Mathematics Conference, March 3, Siena Heights University -
[advisor: Dr. Mohammad Zaki]
- Ashley Ernst, Morgan Hammer, Mitchell Thayer and Matt Tremains : A
Nice Relation in Triangle Geometry, 2012 Michigan Undergraduate
Mathematics Conference, March 3, Siena Heights University - [advisor:
Dr. Mihai Caragiu]
- Emily Barbee, David Kauffman, Katie Klopp and Liz Spingola: On The
Product of Binomial Coefficients, 2012 Michigan Undergraduate
Mathematics Conference, March 3, Siena Heights University - [advisor:
Dr. Mihai Caragiu]
- Joe Mileski: The Mathematical Relationship between Musical Phrases
[poster presentation], MAA Undergraduate Poster Session, 2012 Joint
Mathematical Meetings, Boston - [advisor: Dr. William Fuller]
- Lauren Cassell: Guarding a Koch Fractal Art Gallery [poster
presentation] - MAA Undergraduate Poster Session, 2012 Joint
Mathematical Meetings, Boston [advisor: Dr. William Fuller]
- Courtney J. Brown: Special Polynomial Interpolation over Finite
Fields, 2011 Undergraduate Mathematics Day, University of Dayton
[advisor: Dr. Mihai Caragiu]
- Joseph Mileski: Paths of Melody Lines on Circles - 2011 Ohio MAA
Fall Meeting, University of Findlay [advisor: Dr. William Fuller]
- Lauren Cassell: Guarding a Koch Fractal Art Gallery - 2011 Ohio MAA
Fall Meeting, University of Findlay [advisor: Dr. William Fuller]
- Molly Eickholt: Simplifying Ford Links - 2011 Ohio MAA Spring Meeting, Youngstown State University [advisor: Dr. Donald Hunt]
- Kristin Elix: Maximizing The Product of Two Multi-Digit Numbers -
2011 Ohio MAA Spring Meeting, Youngstown State University - [advisor:
Dr. Harold Putt]
- David Mangus: Ways in Which I was Wrong - 2011 Ohio MAA Spring Meeting, Youngstown State University [advisor: Dr. Donald Hunt]
- Ashley Risch: An Euler-Fibonacci Sequence - 2010 Pi Mu Epsilon Student Conference, Miami University [advisor: Dr. Mihai Caragiu]
- Lauren Cassell, Joseph Mileski and Christopher Iliff: "Hyperbolic"
Nine Point Circles - 2010 Ohio MAA Fall Meeting, Ursuline College
[advisor: Dr. William Fuller]
- Axel Brandt and Nicholas Erickson: Efficiencies of Factorization
Algorithms on RSA Encryption - (poster presentation) 2010 Posters on the
Capitol, Columbus, OH [advisors: Dr. Mohammad Zaki and Dr. Nathaniel
Bird]
- Greg Back: The Greatest Prime Factor Function and Some Applications
- 2010 Ohio MAA Spring Meeting, Kent State University [advisor Dr.
Mihai Caragiu]
- Kevin Earnest: Perturbations in the Aerospace Sequence of Attitude
Determination Using Quaternions - 2010 Ohio MAA Spring Meeting, Kent
State University [advisor Dr. William Fuller]
- John Holodnak: The Perron-Frobenius Theorem with Applications to
Sports Ranking Models - 2010 Ohio MAA Spring Meeting, Kent State
University [REU advisor Dr. Carl D. Meyer, North Carolina State
University]
- Caitlin Zook: A Nonvanishing Result for Certain Sums … - 2010 Ohio
MAA Spring Meeting, Kent State University [advisor Dr. Mohammad Zaki]
- John Holodnak: Rush versus Pass:Modeling the NFL (poster presentation) - 2010 AMS-MAA Joint Meetings, San Francisco [REU advisor Dr. Carl D. Meyer, North Carolina State University]
- Greg Back: A Prime Addition Commutative Magma (poster presentation) - 2010 AMS-MAA Joint Meetings, San Francisco [advisor Dr. Mihai Caragiu]
- Andrew Magyar: Edgar Structures on Manifolds (poster presentation) - 2009 Mathfest, Portland OR [advisor Dr. William Fuller]
- John Holodnak: Rush versus Pass: Modeling the NFL, 2009 Ohio MAA Fall Meeting, Kenyon College [REU advisor Dr. Carl D. Meyer, North Carolina State University]
- Axel Brandt: Characterisation of Ford Links - Undergraduate Knot Theory Conference, Denison University, 13-15 July 2009 [advisor Dr. Donald Hunt]
- Joshua Stoffel: Maxwell's equations - 2009 Ohio MAA Spring Meeting, Bowling Green [advisor Dr. Khristo Boyadzhiev]
- Joshua Szekely: Annular and annular-like functions - 2009 Ohio MAA Spring Meeting, Bowling Green. [advisor Dr. Donald Hunt]
- Gregory Back: The Jacobi symbol and cryptography - 2009 Ohio MAA Spring Meeting, Bowling Green. [advisor Dr. Mihai Caragiu]
- Eric Gossett: Hailstones in tornadoes - 2009 Ohio MAA Spring Meeting, Bowling Green. [advisor Dr. Bill Fuller]
- Sharon Binkley: One-time pad and text visualization - 2009 Ohio MAA Spring Meeting, Bowling Green. [advisor Dr. Mihai Caragiu]
- John Holodnak: Sudoku and binary integer programming - 2009 Ohio MAA Spring Meeting, Bowling Green. [advisor Dr. Donald Hunt]
- Axel Brandt: Characterisation of Ford Links - 2009 Ohio MAA Spring Meeting, Bowling Green. [advisor Dr. Donald Hunt]
- Axel Brandt: Characterisation of Ford Links (poster presentation) - 2009 AMS-MAA Joint Meetings, Washington D.C. [advisor Dr. Donald Hunt; co-author - Tyler Dunlap, ONU '08]
- John Holodnak: A Stochastic Model of Tuberculosis (poster presentation) - 2009 AMS-MAA Joint Meetings, Washington D.C. [advisors Dr.Yuliya Gorb and Dr. Jay Walton, Texas A&M; co-presenter Andrew Basinski]
- Andrew Magyar: The Structure of Digroups - 2008 MAA Ohio Spring
Meeting, Marietta College [REU advisor Dr. J. D. Phillips, Wabash
College]
- Christopher Lemon: Markov Chains and the Ising Model, 2008 MAA Ohio Spring Meeting, Marietta College [advisor Dr. Ronald Johns]
- Andrew Magyar (ONU), Kyle Prifogle (Wabash College), David White
(Bowdoin College), and William Young (Purdue University): An
Investigation into the Structure of Digroups (award-winning poster presentation) - 2008 AMS-MAA Joint Meetings, San Diego [REU advisor Dr. J. D. Phillips, Wabash College]
- John Holodnak: On Sequences Not Satisfying Recurrence Relations (poster presentation) - 2008 AMS-MAA Joint Meetings, San Diego [advisor Dr. Mihai Caragiu]
- Charise Kazmierczak: Geometry in Rose Windows - 2007 MAA Ohio Spring Meeting, Shawnee State University [advisor Dr. Maria Raiti]
- Megan Reese: The Golden Section and Design, 2007 MAA Ohio Spring Meeting, Shawnee State University [advisor Dr. Maria Raiti]
- Greg Back: Counting with Transfer Matrices - 2007 MAA Ohio Spring Meeting, Shawnee State University [advisor Dr. Mihai Caragiu]
- John Holodnak: Kronecker's Theorem and Linear Recurrences, 2007 MAA
Ohio Spring Meeting, Shawnee State University [advisor Dr. Mihai
Caragiu]
- Andrew Homan: An Outline of the Completeness Theorem, 2007 MAA Ohio
Spring Meeting, Shawnee State University [advisor Dr. Mihai Caragiu]
- Lisa Scheckelhoff: On a class of recurrent sequences based on the greatest prime factor function (award-winning poster presentation) 2007 AMS-MAA Joint Meetings, New Orleans [advisor Dr. Mihai Caragiu]
- Andrew J. Homan: Robinson's theorem in connection with a Putnam
problem (award-winning poster presentation), 2007 AMS-MAA Joint
Meetings, New Orleans [advisor Dr. Mihai Caragiu]
- Justin Gieseler: An application of elliptic curves to one-time
pad cryptography (award-winning poster presentation), 2007 AMS-MAA Joint
Meetings, New Orleans [advisors Dr. Mihai Caragiu and Dr. Ronald Johns]
- Andrew J. Homan: An Extension of a Putnam problem, 2006 MAA Ohio Fall Meeting, Muskingum College [advisor Dr. Mihai Caragiu]
- Lisa Scheckelhoff: On a class of sequences related to the greatest prime factor function, 2006 MAA Ohio Spring Meeting, University of Akron [advisor Dr. Mihai Caragiu]
- Justin Gieseler: Randomness properties of elliptic curves, 2006 MAA Ohio Spring Meeting, University of Akron [advisors Dr. Mihai Caragiu and Dr. Ronald Johns]
- Jason J. Bockey: Ford Circles, 2006 MAA Ohio Spring Meeting, University of Akron [advisor Dr. Donald Hunt]
- Lisa Scheckelhoff: Sophie Germain Digraphs (poster presentation) - Eighth
Annual Nebraska Conference for Undergraduate Women in Mathematics
(university of Nebraska, Lincoln), February 3-5, 2006 [advisor Dr. Mihai
Caragiu]
- Kristi Patton: Continued Fractions (poster presentation) - 2006 AMS-MAA Joint Meetings, San Antonio, TX [advisors Dr. Sandy Schroeder and Dr. Richard Daquila]
- Jacob Johanssen: Fibonacci-Lucas densities (poster presentation) - 2006 AMS-MAA Joint Meetings, San Antonio, TX [advisor Dr. Mihai Caragiu]
- Justin Gieseler: The Distribution of points on elliptic curves projections (poster presentation) - 2006 AMS-MAA Joint Meetings, San Antonio, TX [advisors Dr. Mihai Caragiu and Dr. Ronald Johns]
- Kristi Patton: Continued Fractions - Undergraduate Mathematics Day,University of Dayton, November 5, 2005 [advisor Dr. Sandy Schroeder]
- Justin Gieseler: Distribution of Points on Elliptic Curves Projections, Undergraduate Mathematics Day,University of Dayton, November 5, 2005 [advisors Dr. Mihai Caragiu and Dr. Ronald Johns]
- Justin Gieseler: Cubic Polynomials and Quadratic Residues, 2005 MAA Ohio Fall Meeting, Ashland University [advisor Dr. Mihai Caragiu]
- Jacob L. Johanssen: Fibonacci-Lucas densities, 2005 MAA Ohio Fall Meeting, Ashland University [advisor Dr. Mihai Caragiu]
- Nathan Baxter and Justin Gieseler: Some computer explorations in
Number Theory - 2005 MAA Ohio Spring Meeting, Miami University [advisor
Dr. Mihai Caragiu]
- Nathan Baxter: Ultrasonic Beam-Forming with the Genetic Algorithm (award-winning poster presentation) 2005 Joint MAA-AMS Meetings, Atlanta [REU advisor Dr. Jerry Magnan, Florida State University]
- Julie Holda: A closer look at Monte Carlo simulations (poster presentation) 2005 Joint MAA-AMS Meetings, Atlanta [Project developed at NASA Glenn Research Center]
- Matt Katschke: San Gaku Problems and the Consequences of their Analogs (poster presentation) 2005 Joint MAA-AMS Meetings, Atlanta [REU advisor Dr. William Dickinson, GVSU; ONU advisor Dr. Donald Hunt]
- Kara S. Lewis: Increasing the Retention Rate of Women in Sciences
at Purdue University, 2005 Joint MAA-AMS Meetings, Atlanta [REU advisor
Dr. George McCabe, Purdue University]
- Nathan Baxter: Quadratic Residues: a Computer - Assisted Journey - 2004 MAA Ohio Fall Meeting, John Carroll University [advisor Dr. Mihai Caragiu]
- Kristine Patton: The Ducci Problem: a Brief Review - 2004 MAA Ohio Fall Meeting, John Carroll University [advisor Dr. Mihai Caragiu]
- Julie Holda: An application of Monte Carlo simulations for NASA -
2004 Pi Mu Epsilon Fall Student Conference, Miami University, Oxford, OH
[Project developed in a summer internship at NASA Glenn Research
Center]
- Matt Katschke: San Gaku Problems in Other Geometries (award-winning poster presentation) 2004 MATHFEST, Providence, RI [REU Project at Grand Valley State University]
- Kristine Patton: On Primorial Primes - 2004 MAA Ohio Spring Meeting, University of Cincinnati [advisor Dr. Mihai Caragiu]
- Mark Clausing: Advanced compass and straightedge constructions -
2004 MAA Ohio Spring Meeting, University of Cincinnati [advisor Dr.
Donald Hunt]
- Nathan Baxter: Arithmetic Properties of Some Partial Sums - 2004 MAA Ohio Spring Meeting, University of Cincinnati [advisor Dr. Mihai Caragiu]
- Nathan Baxter: P-adic exponents and some of their applications [poster presentation] - 2004 MAA-AMS Joint Meetings, Phoenix, AZ [advisor Dr. Mihai Caragiu]
- Nathan Baxter: An Application of Weyl's Theorem, 2003 MAA Ohio Spring Meeting, The Ohio State University [advisor Dr. Mihai Caragiu]
- Matt Valerio: Fractal Exploration: A Look at Mandelbrot and Julia
sets in 2 and 3 dimensions, 2002 MAA Ohio Spring Meeting, Xavier
University [advisor Dr. Khristo Boyadzhiev]
- Nicholas Vidovich: On a Fibonacci identity - 2002 MAA Ohio Spring Meeting, Xavier University [advisor Dr. Mihai Caragiu]
- Thomas Jonell: A square root algorithm, 2002 MAA Ohio Spring Meeting, Xavier University [advisor Dr. Mihai Caragiu]
- Ethan Miller and Paul Pfeiffer: Cellular Automata with Finite Life Span, 2001 MAA Ohio Spring Meeting, Bowling Green [advisor Dr. Mihai Caragiu]
https://www.onu.edu/arts_sciences/mathematics_statistics/undergraduate_research
Capstone presentations by ONU math/stat majors 1998 - Spring 2020
NOTE: Starting Fall 2020, the Mathematics and Statistics Department is replaced by two programs in the School of Science, Technology, and Mathematics: the Mathematics program, and the Statistics program. The records for The Mathematics and Statistics Department cease here. From here on, our records will involve the Mathematics program only.
- Kaleigh Cummins: The Birthday Problem - an Expanded Look [Rahrig] 2020
- John Mullin: What Makes a Successful Hire for A College Library [Wang] 2020
- Hannah Ray: Heel Spur Surgery: Evaluating the Outcomes [Wang] 2020
- Travis Maenle: A linear complexity analysis of quadratic residues and primitive roots spacings [Caragiu] 2020
- Bryan Peck: Bell's Inequalities [Caragiu] 2020
- Kenneth Eaton: The Fundamentals of Automated Theorem Proving [Caragiu] 2019
- Megan Meyer: An Experimental Approach to Sophie Germain Sequences [Caragiu] 2019
- Corey Thrush: Two Person Zero Sum Games [Robinson] 2019
- Kayla Rieman: Flipping Coins [Rahrig] 2019
- Bradley Lockhart: Force Propagation in Multi-Rod Drumsticks [Fuller] 2019
- Takumi Kijima: Naive Bayes Classifier [Wang] 2019
- Addison Carter: An Introduction to Partitions and Compositions [Caragiu] 2019
- Emma Talley: Multivariate Analysis of Variance [Wang] 2019
- Rachel Liebrecht: Special Topics on Graph Theory and Ramsey Numbers [Caragiu] 2019
- Grant McConnel: Problem Posing Using the Mathematical Game Qubic [Robinson] 2019
- Dylan Battison: SAS Base Programmer Certification [Rahrig] 2019
- Shannon Tefft: Processing Quadratic Residues with Ducci Iterations [Caragiu] 2019
- Andrew Kurdys: The Autoregressive Model and Real Life Time Series Applications [Rahrig] 2019
- Jenna Holler: American Mathematics Competitions – Variations and Generalizations [Caragiu] 2018
- Joseph Stomps: American Mathematics Competitions AMC 10 - analogies and generalizations [Caragiu] 2018
- Ian Simpson: Passive Scalar Transport of Contaminants via Traveling Waves [Fuller] 2018
- Andrew Tomkins: Statistical Analysis of Library Surveys Using SAS [Wang] 2018
- Gia Saturday: Myth Busting the Sophomore Slump [Wang] 2018
- Zachary Goodchild: Three Dichotomous Variables: There is more to it than you think [Robinson] 2018
- Lindsely Black: Player Efficiency Ratings for Basketball Players [Rahrig] 2018
- Jennifer Point: Brownian Motion & Its Application to Stock Evaluation [Rahrig] 2017
- Kyle Thomas: Performance Evaluation of Selected Normality Tests, a Simulation Study [Wang] 2017
- Jessica Lewe: Analysis of Fall Preventions Outreach Survey Using Nonparametric Statistical Methods" [Wang] 2017
- Meredith Eichenlaub: Variation of Probability: Baseball and the Binomial Distribution [Robinson] 2017
- Matthew Golden: The Baker-Campbell-Hausdorff Formula [Caragiu] 2017
- Michelle
Haver: Poissonian Character and Chebyshev Bias for Greatest Prime
Factor Sequences: a Computational Analysis [Caragiu] 2017
- Andrew Harden: The Capital Asset Pricing Model & Markowitz Problem" [Jaki] 2017
- David Zirkle: The Lognormal Distribution as a Model for Stock Prices [Rahrig] 2017
- Kaila Bollinger: Kruskal-Wallis versus Classical One-Way Analysis of Variance: Who's the Winner? [Rahrig] 2016
- Brandon Wilson: Black-Scholes Formula [Jaki] 2016
- Jeffrey Hancock: Optimal Strategy for an Obscure Game Show" [Robinson] 2016
- Nathan Knodel: Exact Solutions of Cubic-Quintic Duffing Oscillators [Fuller] 2016
- Abigail Thayer: Computer Solutions of the One Dimensional Diffusion Equation [Johns] 2015
- Brian Slabe: Contingent Payment Methods [Rahrig] 2015
- James Rader: Analysis of Points After Touchdown in the NFL [Putt] 2015
- Ashley Ernst: A Group Theoretic Development of Isospin and Low Isospin Multiplets [Fuller] 2015
- Benjamin McKinnis: The Square Wheel Problem [Hunt] 2014
- Brandon Guillen: A Look at Bayesian Statistics [Robinson] 2014
- Amanda Marco: Fibonacci Numbers and Some of Their Properties [Caragiu] 2014
- Kerry DuLaney: Exploring Gears and Watchmaking [Hunt] 2014
- Kate Klopp: Wheel of Fortune: From a Statistical Standpoint [Robinson] 2014
- Lacey Hittle: Progression on Regression: A Look at Multicollinearity [Rahrig] 2014
- Matthew R. Zirkle: Finding Square Roots in a Prime Field [Caragiu] 2013
- Thomas E. Steinberger: Arithmetic Functions of Several Variables on the Gaussian Integers [Jaki] 2013
- Jonathan C. Schroeder: Small Special Pairs of Primnitive Roots [Caragiu] 2013
- Devin F. Kisor: Eploration of the Regression to the Mean Phenomenon [Robinson] 2013
- Morgan Hammer: Applications of Direct Products to Molecular Spectroscopy [Putt] 2013
- Kelsie E. Zumberger: Did You Cheat In School This Year? [Robinson] 2013
- Donald J. Pleshinger: On a Congruence of Ohtsuka [Caragiu] 2013
- Matthew J. McCandless: Picturing Eigenfaces [Retterer] 2013
- Joanna Snyder: Analyzing the "Hot Hand" Effect [Rahrig] 2012
- David Mangus: "Let's Get Paradoxical: A Statistical Major's Quest to Solve Some Common Problems [Robinson] 2012
- Jennifer Krauss: In the World of a Taxicab Driver: an Exploration of Conic Sections in Taxicab Geometry [Putt] 2012
- Hannah
(DePriest) Barnaba: How Much Does One Point Matter: A Study on the
Probability of Winning a Tennis Match and the Generalized Case of
Winning by n [Rahrig] 2012
- Lauren Cassell: Guarding a Koch Fractal Art Gallery [Fuller] 2012
- Ashley Risch: An Euler-Fibonacci Sequence. [Caragiu] 2011
- Molly Eickholt: Simplifying Ford Links [Hunt] 2011
- Lauren Sutherland: Multidimensional Greatest Prime Factor Sequences [Caragiu] 2011
- Lucas Witt: Sometimes Two Wrongs Do Make a Right [Robinson] 2011
- Lindsey Miller Walch: Chordal Geometries and Their Axioms [Fuller] 2011
- Joshua Szekely: The Quantum Harmonic Oscillator and the Hermite Polynomials [Boyadzhiev] 2011
- Greg Back: The Greatest Prime Factor and its Applications [Caragiu] 2010
- Jenna Brace: Traffic Flow Simulation with Cellular Automata [Caragiu] 2010
- Andrew Caldwell: Misuses of Statistics [Robinson] 2010
- Kevin Earnest: Perturbations in the Aerospace Sequence of Attitude Determination Using Quaternions [Fuller] 2010
- John Holodnak: The Perron-Frobenius Theorem and Applications [Caragiu] 2010
- Kyle Meyer: Parity in Professional Sports [Robinson] 2010
- Matt Rader: Quantifying Defensive Ability in Baseball [Putt] 2010
- Sharon Binkley: The One Time Pad and Text Visualization [Caragiu] 2009
- Joshua Stoffel: Maxwell's Equations through the Major Vector Theorems [Boyadzhiev] 2009
- Joshua Somerlot: The Affine Cipher [Caragiu] 2009
- Brock Prater: Transmission and Reflection Holograms [Hovis] 2009
- Eric Gossett: Behavior of Particles in Circular Vertical Floe with Magnus Effect" [Fuller] 2009
- Axel Brandt: Classification of Ford Links [Hunt] 2009
- Andrew Magyar: The Einstein's Field Equations [Fuller] 2009
- Amanda Stype: Holy Voley! How Should We Allocate Those Traps? [Robinson] 2009
- Michael Gabrieli: The Exploration of Time Series and Forecasting [Robinson] 2009
- Michael Garee: Solitary Waves and KdV Theory [Fuller] 2008
- Steven Garofalo: Relational Model for Database Management [Retterer] 2008
- Brittany Metz: Latin Squares, Probability, and their involvement in the Sudoku [Robinson] 2008
- Heather Schimmoeller: B2 or not B2. That is the Question [Robinson] 2008
- Ashley Yontz: Mathematics and Stocks: Risk Analysis of a Portfolio [Putt] 2008
- Lorelei Rautsaw: The Geometry of Flowers [Raiti] 2008
- Christopher Lemon: Markov Chains and the Heat Bath Monte Carlo Algorithm for the Ising Model of Ferromagnetism [Johns] 2008
- Stacy Nagel: Symmetry and Quilting [Raiti] 2008
- Brian Henderson: A Probability Distribution Associated with the Minehunt Game [Hovis] 2008
- Katie Milligan: The Underlying Mathematical Patterns of Tessellations [Schroeder] 2008
- Gretchen Deeg: Projective Geometry and the Art of Perspective [Hovis] 2008
- Rachel Fye: An Analysis of Stock Portfolios: Random vs. Non-Random [Putt] 2007
- Tyler Dunlap: Ford Links [Hunt] 2007
- Andrew Homan: An Overview of Model Theory and Completeness [Caragiu] 2007
- Aaron Piper: Given two fractions, what is the fraction between the two that has the smallest denominator? [Robinson] 2007
- Greg Snyder: March Madness Probabilities [Robinson] 2007
- Mark Bierkan: To Deal or Not to Deal - is that the Question? [Robinson] 2007
- Matthew Shonkwiler: Conflict: A Game Theory Approach [Putt] 2007
- Megan Reese: The Golden Section and Design [Raiti] 2007
- Charise Kazmierczak: Geometry of Rose Windows [Raiti] 2007
- Katie Miklovic: The Truth Behind the Witch of Agnesi [Schroeder] 2007
- Anthony Gerdeman: A Venture Into the World of Obstructed Random Walks [Robinson] 2006
- Allison Mackay: Elementary Number Theory and Classical Cryptography [Caragiu] 2006
- Lisa Scheckelhoff: GPF Sequences [Caragiu] 2006
- Brandon Bucholtz: The Euclidean Algorithm [Caragiu] 2006
- Kara Stechschulte: Braids and Music [Fuller] 2006
- Michael Paulus: Predicting Winning Percentage: An Application of Mathematics to Sports [Putt] 2006
- Adam Hibbard: Predicting Movie Ratings [Robinson] 2006
- Dan Gudorf: Mary Had a Little Paradox: Whose fleece was and was not as white as snow... [Fuller] 2006
- Jason Bockey: Ford Circles [Hunt] 2006
- Jacob L. Johanssen: Fibonacci-Lucas Densities [Caragiu] 2006
- Kristine Patton: An investigation of Continued Fractions [Schroeder] 2006
- Kara S. Lewis: A look at Confounding [Robinson] 2005
- Matt Katschke: San Gaku Problems in Hyperbolic and Spherical Geometry [Hunt] 2005
- Nathan Baxter: Finite Fields [Caragiu] 2005
- Jennifer Szippl: Platonic solids [Raiti] 2004
- Julie Holda: Monte Carlo simulations [Robinson] 2004
- Tyler Betts: Applications of Group Theory in Chemistry [Putt] 2004
- Clinton Louiso: Tic-Tac-Toe: an in-depth analysis [Robinson] 2004
- Molly Neer: Mathematics and Arts at Ohio Northern University [Fuller] 2004
- Mark Clausing: Advanced Compass and Straightedge Constructions [Hunt] 2004
- Michael Hewit: The Ehrenfest Model, Analysis via Markov Chains and Recurrent Events [Johns] 2004
- Sara Miller: Fibonacci Numbers [Caragiu] 2003
- Julia Gould: Fear of Crime, An Investigative Analysis [Putt] 2003
- Matthew Suchan: Is Hitter Performance Affected by Free Agency? [Putt] 2003
- Ann Boerger: The Value of a Bond [Putt] 2002
- Reid Moore: Analysis of Interest and Basic Annuities [Putt] 2002
- Stacey Stillion: Covariates of Pancreas Transplant Survival in Recipients of Combined Kidney-Pancreas Grafts [Putt] 2002
- Laura DiMarco: Classification of Compact, Connected Topological Surfaces Without Boundary [Raiti] 2001
- Kimberly Myers: Bond Valuation [Putt] 2001
- Stephanie Osgood: Statistics Reveal the True "Best Hitters" in Baseball [Putt] 2001
- Ivan Tornes: The Circular Vibrating Membrane [Boyadzhiev] 2001
- Jason Kline: The Fourier Series and Some Applications [Boyadzhiev] 2000
- Rachel Kahlenberg: Confidence Intervals for One Pupulation Mean [Song] 2000
- Ryan Snivley: Analysis of Categorical Data [Song] 2000
- Sarah Ruppert: Rubik's Cube [Retterer] 2000
- Lindsay Nicholson: Fourier Series [Lhamon] 2000
- Tim Thompson: Solutions to the Shortest Path Problem [Putt] 1999
- Nathan Hyatt: Hypothesis Testing [Song] 1999
- William Anthony: Recurrent Events [Hovis] 1999
- Justin Reckner: Differential Geometry of Curves in 3-Space [Raiti] 1999
- Bodi Kauffman: The Stieltjes Integral [Boyadzhiev] 1999
- Chris Finney: The Mathematics of Annuity Valuation [Putt] 1999
- James Conine: Fuzzy Sets [Hovis] 1998
- Lee Koratich: Functions of Matrices [Boyadzhiev] 1998
- Jason McCartney: Game Theory [Shult] 1998
- Amanda Pater: Regression Analysis [Song] 1998
- Michelle Schlauch: Random Walks [Roepke] 1998
An excellent article by Robert Gavin, in "Academic Excellence - The role of research in the physical sciences at undergraduate institutions" (Michael P. Doyle, Editor - published in the year 2000 by Research Corporation - a foundation for the advancement of science). Even if the paper, which emphasizes the role of publishing in a research-based education, refers to physical sciences, the ideas in there are even better suitable for mathematical sciences, where there is not an excessive need for laboratories and equipment.
Straight to the point: "Publishing research articles, especially those done in collaboration with undergraduate students, should be expected, encouraged and supported both before and after the tenure decision".
The Council on Undergraduate Research defines it as follows:
``An inquiry or investigation conducted by an undergraduate student that makes an original intellectual or creative contribution to the discipline.''
The word "original" is very important. An original contribution to knowledge rules out works of a severely expository or textbook nature, results that follow immediately from previous work (as in... use the previously obtained A=B to "discover" that 2A=2B, or something like that), or trivial derivations in existent or made-up ad hoc formal systems. The original contribution to the discipline must also go through a rigorous, external, peer-review process. Ideally, a rigorous, solid peer-review is a process which does not accept works simply because they are formally correct, indeed it demonstrates a pattern of rejecting a significant percentage of logically correct but otherwise not interesting enough (as judged by the reviewers) works. Also, note that being "peer-reviewed" is not the same with "being made public/disseminated" (a confusion that is still circulating). A valuable original contribution will be able to generate 'participative waves', engaging others in the area. Thus, when it comes to goals and assessment, 'undergraduate research' is not (and shouldn't be, in my opinion) different from good old 'research'. So it is a serious matter, and competitive universities recognize that. I found interesting the following straight-to-the-point statement (due to Jim Coleman, vice chancellor for research and professor of biology at the University of Missouri) on the central place of undergraduate research in the life of a good university:
``There is nothing more central to the mission of a university than activities associated with discovery, creation, innovation and scholarship. So, I think that what defines a great university is the integration of these activities into the entire fabric of the undergraduate experience.''
Integrating the research/scholarship into the undergraduate life is a challenging enterprise. There are no clear recipes, since there are students and students. Each individual case is unique and interesting in itself. The faculty's essential asset is their own involvement and demonstrated proficiency in research. Indeed the undergraduate research is driven, after all, by faculty research. Or, if you want, faculty research is a necessary condition for undergraduate research. One may ask, is it also a sufficient condition? This is not true, mainly because the student is a person, not a machine or a notebook on which the faculty mentor writes a paper. In the end, note that the complexities of (undergraduate) research that even an otherwise well prepared academic (mentor) faces, ultimately point to persons (as in real persons, and not ``the idea of a person''), and their participative experience.