Interests | Geometrical Packing |
---|---|
Combinatorial Geometry | |
Game Theory | |
Graph Theory | |
Education | Ph.D. in Mathematics, Cornell University, 1991 |
M.S. in Mathematics, Cornell University, 1989 | |
B.S. in Mathematics, Rose-Hulman Institute of Technology, 1987 | |
Employment | Associate Professor, Stetson University, 1998-2018 (Chair, 2000-2003) |
Assistant Professor, Stetson University , 1992-1998 | |
Acting Assistant Professor, Cornell University, 1991-1992 | |
Instructor, Cornell University, 1990-1991 | |
Refereed Papers
|
Saturated Sets of Distinct Integer Equilateral Triangles, (with J. Tilley),
Geombinatorics, Volume XXXII 2 (2023) 117-121. |
Non-Tiles and Walls - A Variant on the Heesch Problem, (with R. Nandakumar),
Geombinatorics, Volume XXVI 1 (2016) 5-11. | |
The Immune System Game, (with Kirsten A. Work and Melissa A. Gibbs),
The American Biology Teacher, Volume 77 5 (2015) 382-390. | |
Covering Squares with Unit Squares, (with David A. Paterson),
Geombinatorics, Volume XV 3 (2006) 130-137. | |
Hinged Dissection of Polyominoes and Polyforms,
(with Erik Demaine, Martin Demaine, David Eppstein and Greg Frederickson), Computational Geometry Theory & Applications, Volume 31, 3 (2005) 237-262. | |
30 Two-Colored Points with No Empty Monochromatic Convex Fourgons,
Geombinatorics, Volume XIV, 2 (2004) 53-54. | |
Partridge Numbers, (with Patrick Hamlyn),
Geombinatorics, Volume XIII 1 (2003) 10-18. | |
Pascal's Triangle and the Boltzmann Distribution (with Tandy Grubbs),
The Chemical Educator, 8 (2003) 116-121. | |
Squares Touching a Constant Number of Other Squares,
Geombinatorics, Volume XII, 2 (2002) 55-60. | |
Constant Neighbor Dihedral Tilings with 15, 32, and 43 Neighbors
(with Berend Jan van der Zwaag), Geombinatorics, Volume XI, 3 (2002) 74-77. | |
Magic Carpets (with Mike Keith),
Journal of Integer Sequences, Volume 3, Issue 2 (2000) | |
N-Vex Shapes, Geombinatorics, Volume IX, 4 (2000) 159-163. | |
Heesch Tiles with Surround Numbers 3 and 4,
Geombinatorics, Volume VIII, 4 (1999) 101-103. | |
Packing Unit Squares in Squares: A Survey and New Results,
Electronic Journal of Combinatorics, DS7, 1998, 2000, 2002, 2005, 2009 | |
How Many Bridge Auctions? (with Douglas Jungreis),
College Mathematics Journal, 19 (1988) 171-172. | |
Other Papers | Cubic is NP-complete, Proceedings of Florida MAA Section Meeting, 2001 |
What's in a Name?, Math Horizons, p. 35, April 2001 | |
Hinged Dissection of Polyominoes and Polyforms
(with Erik Demaine, Martin Demaine, and David Eppstein), Proceedings of 11th Canadian Conference on Computational Geometry, 1999 | |
Plenary Talks
|
Two Dozen Unsolved Problems in Planar Geometry,
Embry-Riddle Undergraduate Mathematics Conference, 2004 |
Reptiles, Partridges, and Golden Bees: Tiling Shapes with Similar Copies,
MAA meeting, 2003 | |
Other Talks | Tiling Triangular Polyominoes With Two Tiles, Department Seminar, 2006 |
Minimal Matchstick Graphs With Small Degree Sets, Department Seminar, 2006 | |
A Dozen Unsolved Problems in Geometry, Department Seminar, 2003 | |
Spiral Galaxies Puzzles are NP-Complete, Department Seminar, 2002 | |
Triangle Centers, MAA meeting, 2002 | |
Hackenbush: The Simple Truth, QED Seminar, 2001 | |
Cubic is NP-Complete, MAA meeting, 2001 | |
Cubic is NP-Complete, Department Seminar, 2000 | |
New Bounds on Large Regular Planar Graphs, MAA meeting, 2000 | |
How to Cut a Cake, Department Seminar, 1999 | |
New Bounds on Large Planar Graphs, Department Seminar, 1999 | |
Packing Squares, MAA meeting, 1998 | |
Packing Unit Squares in Squares, Department Seminar, 1997 | |
The Game of Life, Department Seminar, 1996 | |
Trapezoidal Numbers, Department Seminar, 1996 | |
Mathematics and Can Stacking, DeLand High School, 1994, 1996 | |
The Marksman Problem, Department Seminar, 1995 | |
Mathematica and Interactive Statistics, MAA/AMS meetings, 1995 | |
Geometric Dissections, Department Seminar, 1994 | |
StetStat: An Interactive Statistics Package, ICTCM, 1994 | |
The Four Color Theorem, Department Seminar, 1994 | |
Courses Taught | Finite Math, Precalculus, Business Calculus, Calculus I, II & III |
Calculus with Review Part I & II, Real Analysis I & II, Complex Analysis, | |
Probability, Intro to Math & Stat Modeling, Mathematical Statistics, Mathematical Modeling, | |
Intro to Game Theory, Game Theory Seminar, Graph Theory, Senior Research I & II | |
Mini-Courses | Multivariable Calculus Using the Harvard Calculus Consortium Materials, 1995 |
Teaching Calculus Using Mathematica, 1993 | |
Calculus and Mathematica on the Macintosh, 1993 | |
Service | Department Chair, 2000-2003 |
Acting Department Chair, Summer 1998-2000, 2005, 2006 | |
General Education Committee, 2014-2018 | |
Admissions Committee, 1994-1997, 2000-2003, 2011-2012 (Chair 1996-1997, 2001-2003) | |
Faculty Senate, 1995-1998 | |
Stetson High School Math Contest Organizer, 1995-1999 | |
Math/Computer Science Seminar Organizer, 1994-1999 | |
Mathematical Contest in Modeling Organizer, 1997, 1998 | |
Putnam Examination Organizer, 1992, 1997, 1999, 2003, 2004, 2006, 2008, 2009 | |
Faculty Advisor to QED, 1999-2000, 2004-2005, 2006-2009 | |
Faculty Advisor to Chess Club, 2012-2014 | |
Faculty Advisor to Club Bridge, 2001-2012 | |
Other Activities | Reviewed note, American Mathematical Monthly, 2006 |
Reviewed article, Electronic Journal of Combinatorics, 2005 | |
Consultant, Volusia County Environmental Health Lab, 2003 | |
Associate Editor, Encyclopedia of Integer Sequences, 2002 | |
Editor, Rose-Hulman Insititute of Technology Undergraduate Mathematics Journal, 1999-2009 | |
Reviewed textbook, Addison Wesley Longman Publishers, 1999 | |
Field tested Mathematica software as part of NSF grant, 1999 | |
Reviewed article, Electronic Journal of Combinatorics, 1998 | |
Statistical Consultant, Volusia County Health Services, 1994-1995 | |
Mathematical Consultant, Enigmatix Inc., 1994 | |
Reviewed textbook, John Wiley Publishers, 1994 | |
Reviewed article, PRIMUS, 1993 | |
Erdös Number | 3 |