From REU and EXCEL Programs at Lafayette College
Asterisks denote undergraduates. A full list of journals that have published articles with Lafayette or REU student coauthors appears at the end of this list.
Summer 2018

Amy Pitts*, Kathryn Haglich*, Sarah Neitzel*, Jeffrey Liebner. “A Bayesian method for locating breakpoints in time series”. Joint Mathematics Meetings, MAA General Contributed Paper Session on Modeling and Applications, III.

Carl Hammarsten, Rae Helmreich*, Anchala Krishnan*, John Meier, and Nathan Schmitz*. “Persistent Homology and Random Models of the Gaussian Primes.” Topology Proceedings

Dylan Green*. Maximum proper diameter for 2connected graphs. Dylan Green: Talk “Maximum properdiameter for 2connected graphs,” National Conference on Undergraduate Research (NCUR), Kennesaw State University.

Laura Seaberg*. “Intersections of Shortest Taxicab Paths in the Sierpiński Carpet.” Nebraska Conference for Undergraduate Women in Mathematics.

Rebekah Chase*, Ryan Mike*, Laura Seaberg*. “Intersections of Shortest Taxicab Paths in the Sierpiński Carpet.” Joint Mathematics Meetings, AMSMAASIAM Special Session on Research in Mathematics by Undergraduates and Students in PostBaccalaureate Programs, II.
 Rebekah Chase*. “Intersections of Shortest Taxicab Paths in the Sierpiński Carpet.” MAKO Undergraduate Mathematics Research Conference at Missouri State University.
Summer 2017
 Allison J. Ganger*, Shannon N. Golden*, Brian G. Kronenthal, Carter A. Lyons*, “On the girth of twodimensional real algebraically defined graphs,” Discrete Mathematics, online December 3, 2018.
 Joshua D. Nolan*, Clifford A. Reiter, “Computing and Visualizing 3Dimensional Quasicrystals,” Fractals, to appear
 Carl Hammarsten, Rae Helmreich, Anchala Krishnan, John Meier, and Nathan Schmitz, “Persistent homology and random models of the Gaussian primes,” Topology Proceedings, to appear.
Summer 2015
 Ethan Berkove, Andrew Eickemeyer*, Michael Schulman*, “The 4Color Cubes Problem,” Integers (2018), Paper No. A68, 23 pages.
 Ethan Berkove, David CervantesNava*, Daniel Condon*, Andrew Eickemeyer*, Rachel Katz*, Michael Schulman*, “The Color Cubes Puzzle with 2 and 3 Colors,” MOVES Volume II (Princeton University Press), 2017.
Summer 2014
 Michael Bauer*, Xiaowen Chang*, Michael Conway*, “Quantifying Options Implications,” SIAM Undergraduate Research Online (SUIRO), 8 (2015), 177204.
 Michael Bauer*, Don Chambers, Xiaowen Chang*, Jeff Liebner, Qin Lu, “Estimating the Risk Neutral Density of the S&P 500,” submitted.
 Michael Knopf*, Jesse Milzman*, Derek Smith, Dantong Zhu*, Dara Zirlin*, “Lattice Embeddings of Planar Point Sets,” Discrete & Computational Geometry, 56 (2016), 693710.
Summer 2013
 Ethan Berkove, David CervantesNava*, Daniel Condon*, Rachel Katz*, “Automorphisms of \(S_6\) and the Color Cubes Puzzle,” Australasian. Journal of Combinatorics, 68 (2017), 71 – 93.
 Alex Chin*, Gary Gordon, Kellie MacPhee*, and Charles Vincent*, “Pick a tree, any tree,” American Mathematical Monthly, 122 (2015), 424432. (Winner of a 2016 Paul R. Halmos – Lester R. Ford Award for expository excellence.)
 Alex Chin*, Gary Gordon, Kellie MacPhee*, and Charles Vincent*, “Subtrees of graphs,” J. Graph Theory, 89 (2018), 413 – 438.
 Edward Gamber, Jeffrey Liebner, and Julie Smith, “The distribution of inflation forecast errors,” Journal of Policy Modeling, 37 (2015), 47–64. (With significant assistance from Shannon Nitroy*.)
Summer 2012
 Benjamin D. Sokolowsky*, Amy G. VanHooft*, Rachel M. Volkert*, and Clifford A. Reiter, “An Infinite Family of Perfect Parallelepipeds,” Mathematics of Computation, 83 (2014), 24412454.
 Joshua Cape*, William Dearden*, William Gamber*, Jeffrey Liebner, Qin Lu, and Linh Nguyen*, “Estimating Heston’s and Bates’ models parameters using Markov Chain Monte Carlo simulation,” Journal of Statistical Computation and Simulation, 85 (2015), 22952314.
 Joshua Cape*, William Dearden*, William Gamber*, and Linh Nguyen*, “First encounters with option pricing and return simulation,” RoseHulman Undergraduate Mathematics Journal, 16 (2015), 191207.
 Joshua Cape*, William Dearden*, William Gamber*, Jeffrey Liebner, Qin Lu, and Linh Nguyen*, “Statistical Properties of Measures of Risk Adjusted Returns Implied by OptionPricing Models,” submitted.
 Emily Dinan*, Alice Nadeau*, and Isaac Odegard*, “Folding Concave Polygons into Convex Polyhedra: The LShape,” accepted to the RoseHulman Undergraduate Mathematics Journal.
Summer 2011
 John Meier, and Liang Zhang*, “Connectivity at infinity for braid groups on complete graphs,” Homology, Homotopy, and its Applications, 15 (2013), 30331
Summer 2010
 Hannah Alpert* and Jennifer Iglesias*, “Length 3 edgedisjoint paths is NPhard,” Comput. Complexity, 21 (2012), 511–513.
 Michael Follett*, Kyle Kalail*, Elizabeth McMahon, Catherine Pelland*, and Rob Won*, “Partitions of AG(4,3) into maximal caps,” Discrete Mathematics 337 (2014), 18.
 Farhan Abedin* and Justin Corvino, “On the Pscalar curvature,” The Journal of Geometric Analysis, 27 (2017), no. 2, 15891623.
Summer 2009
 Donald Chambers, Michael Kelly, Qin Lu, Adam Biesenbach*, Angela King*, Kuni Natsuki*, and Qi Sun*, “CDO Squared: The Case of Subprime Mortgages,” The Journal of Structured Finance, 17 (2011), 96–113.
 Daniel Allen*, Megan Cream*, Kate Finlay*, John Meier, and Ranjan Rohatgi*, “Complete growth series and products of groups,” New York Journal of Mathematics, 17 (2011), 321329.
 Chencong Bao*, Camila FriedmanGerlicz*, Gary Gordon, Peter McGrath*, and Jessica Vega*, “Matroid automorphisms of the H4 root system,” Congr. Numer. 207 (2011), 141–160.
 Clifford Reiter and Jorge Sawyer*, “Perfect Parallelepipeds Exist,” Mathematics of Computation, 80 (2011), 10371040.
 Clifford Reiter and Jorge Sawyer*, “Generalized Perfect Parallelograms and Their Matrix Generators,” JP Journal of Algebra and Number Theory and Applications, 16 (2010), 112.
Summer 2008
 Chelsey Cooley*, William Ella*, Michael Follett*, Eric Gilson*, Lorenzo Traldi, “Tied dice. II. Some asymptotic results,” Journal of Combinatorial Mathematics and Combinatorial Computing, 90 (2014), 241 248.
 Chelsey Cooley*, William Ella*, Michael Follett*, Eric Gilson*, Lorenzo Traldi, “The Efron dice voting system,” Social Choice and Welfare, 39 (2012), 931–959.
 Chu Yue (Stella) Dong*, James Long*, Clifford Reiter, Corey Staten*, Rytis Umbrasas*, “A cellular model for spatial population dynamics,” Computers & Graphics, 34 (2010), 176181.
 Farhan Abedin*, Justin Corvino, Shelvean Kapita*, Haotian Wu*, “On isoperimetric surfaces in general relativity, II,” Journal of Geometry and Physics, 59 (2009), 14531460.
 Evan Fisher and Shiliang Cui*, “Patterns generated by mthorder Markov Chains”, Statistics and Probability Letters, 80 (2010) 157–166.
Summer 2007
 Daniel D’Argenio* and Clifford Reiter, “Families of Nearly Perfect Parallelepipeds,” JP Journal of Algebra, Number Theory and Applications, 9 (2007), 105111.
Summer 2006
 Jordan Tirrell* and Clifford Reiter, “Matrix Generation of the Diophantine Solutions to Sums of 3 ≤ n ≤ 9 Squares that are Square,” JP Journal of Algebra, Number Theory and Applications, 8 (2007) 6980.
 Stephanie Fried*, Aydin Gerek*, Gary Gordon, and Andrijz Perunicic*, “Matroid automorphisms of the root system \(F_4\),” Electronic J. Comb. 14 (2007) R78, 12 pp.
 Justin Corvino and Haotian Wu*, “On the Center of Mass of Isolated Systems,” Classical and Quantum Gravity 25 (2008) 18 pp.
 Brian Kronenthal* and Lorenzo Traldi, “Tied dice,” Journal of Combinatorial Mathematics and Combinatorial Computing, 68 (2009), 8596.
Summer 2005
 Clifford Reiter and Jordan Tirrell*, “Pursuing the perfect parallelepiped,” JP Journal of Algebra, Number Theory, and Applications, 6 (2006) 279294.
 Justin Corvino, Aydin Gerek*, Michael Greenberg*, and Brian Krummel*, “On isoperimetric surfaces and general relativity,” Pacific J. Math. 231 (2007) 6384.
 Kevin Ehly* and Gary Gordon, “Matroid automorphisms of the root system H3,” Geom. Dedicata, 130 (2007) 149161.
 Melanie Albert*, Jenna Bratz*, Patricia Cahn*, Timothy Fargus*, Nicholas Haber*, Elizabeth McMahon, Jaren Smith*, and Sarah Tekansik*, “Colorpermuting automorphisms of Cayley graphs,” Cong. Num., 190 (2008) 161171. (REU groups for 2001 & 2005).
 R. E. Andersen*, A. O. Balan*, J. P. Rowe*, and L. Traldi, “A note on independentdisjoint analysis of network reliability,” Applied Mathematical and Computational Sciences 1 (2010), 6166.
Summer 2004
 David Glasser*, Lori McDonnell*, John Meier, Kevin Penderghest*, and Mary. Vacha*, “The geometry of the Dehn complex for a spatial graph,” J. Knot Theory Ramifications, 18 (2009) 11751191.
 Ethan Berkove, Jenna Van Sickle*, Ben Hummon*, and Joy Kogut*, “An Analysis of the (Colored Cubes)3 Puzzle,” Discrete Math., 308 (2008) 10331045.
 David Eisenstat* and Gary Gordon, “Nonisomorphic caterpillars with identical subtree data,” Discrete Math., 306 (2006) 827830.
 David Eisenstat*, Gary Gordon, and Amanda Redlich*, “Combinatorial properties of a rooted graph polynomial,” SIAM J. on Discrete Math., 22 (2008) 776785.
 David Eisenstat*, Jennifer Feder*, Greg Francos*, Gary Gordon, and Amanda Redlich*, “Optimality and randomness in rooted graphs,” Discrete Appl. Math., 156 (2008) 746756.
 Prince Chidyagwai* and Clifford Reiter, “A Local Cellular Model for Growth on Quasicrystals, Chaos,” Chaos, Solitons & Fractals, 24 (2005) 803812.
 Blerta Shtylla*, Lorenzo Traldi, and Louis Zulli, “On the Realization of Double Occurrence Words,” Discrete Math. 309 (2009), 17691773.
Summer 2003
 Blerta Shtylla* and Louis Zulli, “An extension of the Jones polynomial of classical knots,” Journal of Knot Theory and Its Ramifications, 15 (2006) 81100.
 Michael Dinitz*, Jonah Gold*, Thomas Sharkey*, and Lorenzo Traldi, “Graphical representations of clutters,” Ars Combinatoria, 94 (2010), 303–320.
 Robert Root, Tiffany Psemeneki*, Ricardo Cortez, Philip Watts, and John Long, “Heads or Tails? Anterior Thrust Generation in NumericallySimulated Carangiform Fish,” Journal of Morphology, 260 (2004) 323.
 Deidra Coleman*, Christopher Dugan*, Robert McEwen*, Clifford Reiter, and Tran Tang*, “Periods of (Q,R)Fibonacci Sequences and Elliptic Curves,” The Fibonacci Quarterly, 44 (2006) 5970.
 John Harding, Ekaterina Jager*, and Derek Smith, “Groupvalued measures on the lattice of closed subspaces of a Hilbert space,” Int’l J. of Theoretical Physics, 44 (2005) 539548.
 Gary Gordon and Ekaterina Jager*, “On the location of the root of a network,” Networks, 55 (2010) 181186.
Summer 2002
 A. Beste*, D. Leventhal*, Q. Lu, J. Williams*, “Additional analysis on the Markowitz frontier,” submitted.
 Angela Coxe* and Clifford Reiter, “Boolean Hexagonal Automata,” Vector, 19 3 (2003) 113121.
 Angela Coxe* and Clifford Reiter, “Fuzzy Hexagonal Automata and Snowflakes,” Computers & Graphics, 27 (2003) 447454.
 Alexandru Balan* and Lorenzo Traldi, “Preprocessing minpaths for sum of disjoint products,” Institute of Electrical and Electronics Engineers Transactions on Reliability, 52 (2003), 289295.
Summer 2001
 Mohammed Abouzaid*, Jarod Alper*, Steve DiMauro*, Justin Grosslight*, Derek Smith, “Common left and righthand divisors of a quaternion integer,” J. Pure Appl. Algebra, 217 (2013), 779785.
 Mohammed Abouzaid*, Jarod Alper*, Steve DiMauro*, Justin Grosslight*, Derek Smith, “On cosets of the unit loop of integral octonions,” Communications in Algebra, 35 (2007) 207214.
 Melanie Albert*, Jenna Bratz*, Patricia Cahn*, Timothy Fargus*, Nicholas Haber*, Elizabeth McMahon, Jaren Smith*, and Sarah Tekansik*, “Colorpermuting automorphisms of Cayley graphs,” Cong. Num., 190 (2008) 161171. (REU groups for 2001 & 2005).
 Jonah Blasiak*, Jennifer Rowe*, Oded Yacobi*, and Lorenzo Traldi, “An exposition of elementary matroid theory,” Ars Combinatoria, 77 (2005), 3344.
Summer 2000
 Ned Allis*, Jeffrey Dumont*, and Clifford Reiter, “Visualizing point sets, fractals, and quasicrystals using raster techniques,” Computers & Graphics, 25 (2001) 519527.
 Alison Bailey*, Gary Gordon, Matthew Patton*, Jennifer Scancella*, “Expected value expansions in rooted graphs,” Disc. Appl. Math., 128 (2003) 555571.
 Joseph Loeffler*, John Meier, and James Worthington*, “Graph Products and Cannon Pairs,” International Journal of Algebra and Computation, 12 (2002) 747–754.
 John Long, Bruce Adcock*, and Robert Root, “Force transmission via axial tendons in undulating fish: a dynamic analysis,” Comparative Biochemistry & Physiology Part A, 133 (2002) 911929.
Summer 1999
 Ned Allis*, Jeffrey Dumont*, Flynn Heiss*, and Clifford A. Reiter, “Fast Fourier Transforms, Diffraction Patterns, and J,” Vector, 16 3 (2000) 111116.
 Bruce Adcock*, Kevin Jones*, Clifford Reiter, and Lisa Vislocky*, “Iterated Function Systems with Hyperbolic Symmetry”, Computers & Graphics, 24 (2000) 791796.
Summer 1998
 Jeffrey Dumont*, Flynn Heiss*, Kevin Jones*, Clifford Reiter, and Lisa M. Vislocky*, “Chaotic Attractors and Evolving Planar Symmetry, Computers & Graphics,” 23 (1999) 613619.
 Jeffrey Dumont* and Clifford Reiter, “Chaotic Attractors Near Forbidden Symmetry,” Chaos, Solitons & Fractals, 11 (2000) 12871296.
 Kevin Jones* and Clifford Reiter, “Chaotic Attractors with Cyclic Symmetry Revisited,” Computers & Graphics, 24 (2000) 271282.
 Jeffrey Dumont*, Flynn Heiss*, Kevin Jones*, Clifford Reiter, and Lisa Vislocky*, “Ndimensional Chaotic Attractors with Crystallographic Symmetry,” Chaos, Soliton’s and Fractals, 12 (2001) 761784.
 Manny Aivaliotis*, Gary Gordon, and William Graveman*, “When bad things happen to good trees,” J. Graph Theory, 37 (2001) 7999.
Summer 1997
 Evan Fisher, Matthew Berman*, Natalie Vowels*, and Christine Wilson*, “Excursions of a Normal Random Walk above a Boundary,” Statistics and Probability Letters, 48 (2000), 141151.
 Danielle Bianco*, Olivia Carducci, Stephen Hartke*, and Anne Larimer*, “Stable matchings in the couples problem,” Morehead Electronic Journal of Applicable Mathematics, Issue 2, MATH200106, January 16, 2002.
 Nathan Carter*, Stephen Grimes*, and Clifford Reiter, “Frieze and Wallpaper Chaotic Attractors with a Polar Spin,” Computers & Graphics, 22 6 (1998) 765779.
 Nathan Carter*, Richard Eagles*, Stephen Grimes*, Andrew Hahn*, and Clifford A. Reiter, “Chaotic Attractors with Discrete Planar Symmetries,” Chaos, Solitons & Fractals, 9 12 (1998) 20312054.
 Nathan Carter*, Richard Eagles*, Stephen Grimes*, Andrew Hahn*, and Clifford A. Reiter, “Chaos with Symmetry: Reflections on an Exhibition,” The CDROM Proceedings of the APL97 International Conference on APL, Toronto, Ontario, August 1720, 1997.
 Susan Garner Garille* and John Meier, “Whitehead graphs and the S1 invariants of infinite groups,” International Journal of Algebra and Computation, 8 (1998) 2334.
Summer 1996
 Lori Fern*, Gary Gordon, Jason Leasure*, Sharon Pronchik*, “Matroid automorphisms and symmetry groups,” Combinatorics, Probability, and Computing, 9 (2000), 105123.
 Christina Ahrens*, Gary Gordon, and Elizabeth McMahon, “Finite Convex Sets and the Beta Invariant,” Discrete and Computational Geometry, 22 (1999), 411424.
 Christie Gilbert*, Joseph Kolesar*, Clifford Reiter, and John Storey*, “Function Digraphs of Quadratic Maps Modulo p,” The Fibonacci Quarterly, 39 1 (2001) 3249.
 Sean Grettum*, Jennifer Mandelson*, John Meier, Philippa Mignon Rhodes*, “Automatic Groups, Rational Growth, and Polygonal Amalgams,” Communications in Algebra, 29 (2001) 53715382.
 Elizabeth McMahon, Beth Shimkus*, and Jessica Wolfson*, “Chordal graphs and the characteristic polynomial,” Discrete Math., 262 (2003) 211219.
Summer 1995
 Jessica Wolfson* and John Meier, “Visualizing the Geometry of Lissajous Knots,” College Mathematics Journal, 28 (1997) 211216.
 Nicole Librizzi*, John Long, Robert Root, “Modeling a swimming fish with an initialboundary value problem: unsteady maneuvers of an elastic plate with internal force generation,” Mathematical and Computer Modeling, 30 (1999) 7793.
 Travis Lee*, Max Minzner*, Evan Fisher, “The length of an excursion above a linear boundary by a random walk,” Statistics and Probability Letters, 34 (1997) 397402.
 Travis Lee*, Max Minzner*, Evan Fisher, “Excursions of a random walk related to the strong law of large numbers,” The Rocky Mountain Journal of Mathematics, 28 (1998) 595606.
 Gabriel Brisson* and Clifford Reiter, “Parallel Processing with J,” Vector, 13 1 (1996) 8695.
 Gabriel Brisson*, Kaj Gartz*, Benton McCune*, Kevin O’Brien*, and Clifford Reiter, “Symmetric Attractors in 3D Space,” Chaos, Solitons & Fractals, 7 7 (1996) 10331051.
Summer 1994
 Jessica Benashski*, Ryan Martin*, Justin Moore*, and Lorenzo Traldi, “On the βinvariant for graphs,” Congressus Numerantium, 109 (1995) 211221.
 Laura McKinney*, John Meier, and Katherine Schnare*, “Abelian quotients of Artin groups,” Houston Journal of Mathematics, 21 (1995) 659670.
 Caroline Lucheta*, Eli Miller*, and Clifford A. Reiter, “Digraphs from powers mod p,” The Fibonacci Quarterly, 34 3 (1996) 226239.
Summer 1993
Sandy Balkin*, Deborah Cousins*, Christopher Orr*, and Clifford Reiter, “Short periods of continued fraction convergents modulo m: a generalization of the Fibonacci case,” The Fibonacci Quarterly, 33 3 (1995) 222233.
Sarah Drucker*, Evan Fisher, and Imola Fodor*, ” On random walks and levels of the form na,” The Rocky Mountain Journal of Mathematics, 26 1 (1996) 117134.
Gary Gordon, Eleanor McDonnell*, Darren Orloff*, and Nen Yung, “On the Tutte polynomial of a tree,” Congressus Numerantium, 108 (1995) 141151.
Gary Gordon and Eleanor McDonnell*, “Trees with the same degree sequence and path numbers,” Discrete Mathematics, 147 (1995) 297300.
Summer 1992
 Sandy Balkin*, Elizabeth Golebiewski*, and Clifford Reiter, “Rasterization of elliptic curves,” Computers and Graphics, 18 (1994) 837843.
 Sandy Balkin*, Elizabeth Golebiewski*, and Clifford Reiter, “Chaos and elliptic curves,” Computers and Graphics, 18 (1994) 113117.
List of Journals
American Mathematical Monthly; Ars Combinatoria; Australasian Journal of Combinatorics; Chaos, Solitons & Fractals; Classical and Quantum Gravity; College Mathematics Journal; Combinatorics, Probability, and Computing; Communications in Algebra; Comparative Biochemistry & Physiology Part A; Computational Complexity ; Computers & Graphics; Congressus Numerantium; Discrete Applied Mathematics; Discrete Mathematics; Discrete and Computational Geometry; Electronic Journal of Combinatorics; Fibonacci Quarterly; Fractals; Geometriae Dedicata; Homology, Homotopy, and its Applications; Houston Journal of Mathematics; IEEE Transactions on Reliability; Institute of Electrical and Electronics Engineers Transactions on Reliability; Integers; International Journal of Algebra and Computation; International Journal of Theoretical Physics; Journal of Combinatorial Mathematics and Combinatorial Computing; Journal of Knot Theory Ramifications; Journal of Geometrical Analysis; Journal of Geometry and Physics; Journal of Graph Theory; Journal of Morphology; Journal of Policy Modeling; Journal of Pure and Applied Algebra; Journal of Statistical Computation and Simulation; Journal of Structured Finance; JP Journal of Algebra and Number Theory and Applications; Mathematical and Computer Modeling; Mathematics of Computation; Morehead Electronic Journal of Applicable Mathematics; Networks; New York Journal of Mathematics; Pacific Journal of Mathematics; RoseHulman Undergraduate Mathematics Journal; SIAM Journal on Discrete Mathematics; SIAM Undergraduate Research Online; Statistics and Probability Letters; The Rocky Mountain Journal of Mathematics; and Vector.