| Interests | Geometrical Packing |
|---|---|
| Combinatorial Geometry | |
| Game Theory | |
| Graph Theory | |
| Computational Complexity | |
| Education | Ph.D. in Mathematics, Cornell University, 1991 |
| M.S. in Mathematics, Cornell University, 1990 | |
| B.S. in Mathematics, Rose-Hulman Institute of Technology, 1987 | |
| Employment | Associate Professor, Stetson University, 1998-present (Chair, 2000-2003) |
| Assistant Professor, Stetson University , 1992-1998 | |
| Acting Assistant Professor, Cornell University, 1991-1992 | |
| Instructor, Cornell University, 1990-1991 | |
| Refereed Papers | 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),
Electronic 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 | |
| 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 | |
| Preprints | Sets of Points that are the Vertices of K Non-overlapping N-gons ![]() |
Pearl Puzzles are NP-Complete ![]() | |
Corral Puzzles are NP-Complete ![]() | |
Pushing Blocks in Gravity is NP-Hard ![]() | |
Spiral Galaxies Puzzles are NP-Complete ![]() | |
| New Bounds for Largest Planar Graphs with Fixed Maximum Degree and Diameter
(with Rob Pratt) ![]() | |
| 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 and III, |
| Real Analysis I and II, Complex Analysis, Probability, Statistics, | |
| Mathematical Modeling, Game Theory, Graph Theory, Senior Research | |
| 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 | |
| Admissions Committee, 1994-1997, 2000-2003 (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 | |
| Faculty Advisor to QED, 1999-2000, 2004-2005, 2006-present | |
| Faculty Advisor to Club Bridge, 2001-present | |
| 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-present | |
| 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 | |
| Puzzling | Published puzzles in Brain Games, 2008 |
| Published puzzles in an Indian puzzle magazine, 2008 | |
| Contributed 1 problem to U.S. Puzzle Championship, 2007 | |
| Published puzzle in Reader's Digest, Apr 2007 | |
| Published 3 puzzles on Perplexcity cards, 2006 | |
| Contributed 4 problems to U.S. Puzzle Championship, 2006 | |
| Contributed 4 problems to U.S. Puzzle Championship, 2005 | |
| Contributed 4 problems to U.S. Puzzle Championship, 2004 | |
| Contributed 3 problems to U.S. Puzzle Championship, 2003 | |
| Contributed 5 problems to U.S. Puzzle Championship, 2002 | |
| Contributed 3 problems to U.S. Puzzle Championship, 2001 | |
| Contributed 18 problems to World Puzzle Championship, 2000 | |
| Contributed 13 problems to U.S. Puzzle Championship, 2000 | |
| Published puzzles in Games Magazine, Nov 1999, Feb 200, Apr 2000, Jun 2000,
Aug 2000, Sep 2000, Feb 2001, Mar 2001, Apr 2001, Aug 2001 | |
| Published puzzles in World of Puzzles, Aug 2000, Sep 2000 | |
| Published puzzles in Pages, Dec 1999, Feb 2000, Apr 2000, Jun 2000, Aug 2000, Oct 2000 | |
| Contributed 3 problems to U.S. Puzzle Championship, 1999 | |
| Honors/Awards | MSI Research Fellow, Cornell University, 1991 |
| NSF Graduate Fellowship, 1987-1990 | |
| graduated summa cum laude from Rose-Hulman, 1987 | |
| NSF Undergraduate Research Fellow, University of Minnesota at Duluth, 1986 | |
| Member of 9th ranked Putnam team, 1984 | |
| Erdös Number | 3 |
last updated
January 5, 2008