SMALL Internal Reports

M. Alfaro*, J. Goodell*, K. Hodges*, K. Pootrakool*, A. Soto*, S. Taubs*, Dynamics Group Report, Undergraduate Research, Williams College, 1989.

M. Alfaro*, M. Conger*, M. Gray*, M. McDougall*, W. Sherman*, K.von Hamm*, Topology Group Report, Undergraduate Research, Williams College, 1988.

J. Baraka*, A. Bardine*, J. Emerson*, K. Hodges*, K. Pootrakool*, A. Soto*, S. Taubs*, "An Exposition of Macaulay's Resultant", Undergraduate Research, Williams College, 1989.

J. Baraka*, L. Borowsky*, B. Jarman*, M. Knell*, Computational Geometry Report, Undergraduate Research, Williams College, 1989.

D. Bergstrand, F. Hurary*, K. Hodges*, G. Jennings*, L. Kuklinski*, Z. Mahmood*, W. Sherman*, J. Weiner*, " Some results on Sum Graphs", Undergraduate Research, Williams College, 1988.

W. Sherman*, "Hyperbolic Manifolds from Ideal Tetrahedra", Undergraduate Honors Thesis, Williams College, 1988.

M. Alfaro*, J. Brock*, J. Foisy*, N. Hodges*, J. Zimba*, "Compound Soap Bubbles in the Plane", Undergraduate Research, Williams College, 1990.

J. Bope, D. Goodwin*, J.Foisy*, S. Friedland*, M. Gallagher*, J. Gyori*, T. Tucker*, "Ramsey Numbers and SCUBE", being rewritten for submission to undergraduate research journal, 1990.

J. Bugbee*, S. Friedland*, D. Robb*, T. Tucker*, J. Zimba*,"Classifying Vector-Valued Hermitian Forms", Undergraduate Research, Williams College, 1990.

A. Huston*, A. Beveridge*, M. Donofrio*, J. Emerson*, K. Fiesler*, D. Robb*,"Topology of Robotics", Undergraduate Research, Williams College, 1990.

A. Beveridge*, M. Gallagher*, D. Goodwin*, J. Gyori*, A. Joseph*, "Results on Sum Graphs", in preparation, 1990.

L. Kuklinski*, "Niche Graphs: Families, Constructions, and Boundaries", Undergraduate Honors Thesis, 1990.

M. Alfaro*, "Existence of Shortest Directed Networks in R2", Undergraduate Honors Thesis, 1990.

Joel Foisy*, "Soap bubble clusters in R2 and R3," undergraduate thesis, Williams College, 1991.

Graph Editor, a computer program developed by students over three summers for manipulating graphs.

Margaret H. Forbush*, Elizabeth Hanson, Susan Kim*, Andrew Mauer*, Rhian Merris*, Seth Oldham*, Jennifer O. Sargent*, Kate Sharkey*, and Dave Witte "Hamiltonian Paths in Projective Checkerboards", preprint.

Marcus Christian*, Dylan Cooper*, James Goodell*, ³Length-Minimizing Networks in R3: The Tetrahedron and New Examples², Geometry Group Report, January, 1989.

Susan Kim*, "Source and sink networks: no stochastic Steiner points in cost minimizers," undergraduate thesis, Williams College, 1993.

Christopher French*, Kristen Albrethsen*, Heather Curnutt*, Scott Greenleaf*, Christopher Kollett*, "The planar double Wulff crystal," Geometry group report, 1993.

Margaret Forbush*, Susan Kim*, Andrew Mauer*, Rhian Merris*, Seth Oldham*, Jennifer O. Sargent*, and Kate Sharkey*, "Hamiltonian Paths in Checkerboards on the Torus, Klein Bottle, and Projective Plane", Undergraduate Research, Williams College, 1992.

Cordelia Aitkin*, Thomas Colthurst*, Kathryn Kollett*, Steven Levandosky*, Andrew Perry*, Eugene Stern*, "On the Diophantine Equation Sxk= (Sx) 2", SMALL Combinatorics Group, 1991.

Andrew Beveridge*, Michael Donofrio*, Lisa Klein *, Cherie Macauley*, Jonathan Mattingly*, Jessica Polito*, Stephen Root*, "On Dynamics of the General Tent Map," SMALL Dynamics Group, 1991.

C. Aitkin*, S. Fiedler*, A. Huston*, J. MacEachern*, B. McLean*, A. Perry*, "Peaks of the Divisor Function", SMALL Number Theory Group, 1991.

Stephen Fiedler*, H. Lowy*, B. McLean*, J. Mynntinen&, E. Swanson*, J. Terilla*, "Invariants of Vector-Valued Forms", SMALL Differential Geometry Group, 1991.

.H. Howards*, L. Klein*, J. Mynttinen*, J. Maceachern*, J. Polito*, J. Terilla*, "Universally Linked Graphs", Topology Group, 1991.

Douglas Briggs*, Eric Chiu*, Noah Graham*, Charles Huse*, Meg Tilton*, "Invariants of Vector-Valued Forms", The SMALL CR Structures Group, 1992.

Hugh Howards*, "Soap bubbles on surfaces," undergraduate theis, Williams College, 1992.

Kristen Albrethsen, Derek Bruneau*, Matthew Carroll*, Tonya McLean*, Amy Tsang*, SMALL Symmetry Group Report, 1993.

Froney Crawford*, Jason Eglit*, Craig Epifanio*, Jamie Kerman*, Kira Maginnis*, "Testing the Density Matrix Perturbation Theory of the Doppler Effect", SMALL Mathematical Modeling Group, 1993.

Matthew Carroll*, Heather Curnutt*, Scott Greenleaf*, Joshua Kucera*, Tonya McLean*, "Minimal Networks: Approximate Solutions, Triangle Metric", SMALL Minimal Surface Group 1993.

Michael Pelsmajer*, Jeffrey VanderClute*, Penny Vongsinsirikul*, Ted Welsh*, Aaron Williams*, "On Gelfand's Powers Problem", SMALL Dynamics Group, 1993.

Megan Barber*, Jennifer Tice*, Brian Wecht*, ³Geodesics and Geodesic Nets on Regular Polyhedra², Geometry Group Report, 1995.

Megan Barber*, Jennifer Tice*, Brian Wecht*, ³Immiscible Fluids², Geometry Group Report, 1995.

Megan Barber*, Jennifer Tice*, Brian Wecht*, ³Double Salt Crystals², preprint.

Megan Barber*, Jennifer Tice*, Brian Wecht*, ³Double Salt Crystals², (research announcement), preprint.

The Splittability of Almost Alternating Links, Charene Arthur*, Derek Bruneau*, Tom Graber*, Josh Kucera*, Penny Vongsinsirikul*, and Ted Welsh*, preprint.

The Reduction of Almost Alternating Knots and Links, Charene Arthur*, Derek Bruneau*, Tom Graber*, Josh Kucera*, Penny Vongsinsirikul*, and Ted Welsh*, Knot Theory Group Report, 1993.

Jennifer Sargent*, Janette Light*, Douglas Briggs*, Michael Hutching*, Kate Sharkey*, Timothy Pinto*, "T-Colorings of Cycles and Other Graphs", SMALL Graph Coloring Group.

Christopher French*, Christopher Kollett*, Michael Pelsmajer*, Jeffrey VanderClute*, Aaron Williams*, "Recurrence Relations and Simple Continued Fractions," SMALL Number Theory, 1993.

Ted Welsh*, "Hyperbolic 3-orbifolds", Undergraduate thesis, Williams College, 1995.

J. Danciger*, S. Devadoss, D. Sheehy*,"Compatible triangulations and point partitions by series-triangular graphs,"  submitted 2005.

    J. Danciger*, S. Devados*, J. Mugno*, D. Sheehy*, R. Ward*, "A homotopic approach to Whitespace Management," to be submitted summer 2005.

    Ivan Corwin*, Stephanie Hurder*, Vojislav Sesum*, Ya Xu*, Double bubbles in Gauss space and high-dimensional spheres, and differential geometry of manifolds with density, Geometry Group report, Williams College, 2004.

    Chris Dodd*,  Phakawa Jeasakul*,  Anne Jirapattanakul*, Daniel M. Kane*, Becky  Robinson*, Noah Stein*, and Cesar E.  Silva, "Ergodic Properties of a Class of Discrete Abelian Group Extensions of Rank-One Transformations,"  preprint 2004.

Daniel Kane*, "Weak Mixing of a Transformation Similar to Pascal,"  submitted 2005.

Nathan Jay Brown*, Rachel Finck*, Matthew Spencer*, Kristopher Tapp, Zhongtao Wu*, "Invariant metrics with nonnegative curvature on Lie Groups," submitted 2004.