Office Adress:
Department of Mathematics and Statistics
James Madison University
104 Burruss Hall
Harrisonburg, VA 22806
Phone: (540)568-6459
E-Mail: rosenhjd@jmu.edu
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Home Address:
570 Elmwood Drive
Harrisonburg, VA 22801
(540)438-9099
Web Site:     http://www.math.jmu.edu/~rosenhjd
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Education
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Dartmouth College     Hanover, NH
PhD in Mathematics, June 2000
Thesis Title: The Isoperimetric Numbers of Certain Cubic Cayley Graphs Associated with PSL(2, Z/nZ)
Thesis Advisor: Dorothy Wallace
M.A. in Mathematics, June 1997
Brown University     Providence, RI
B.S. in Mathematics, May 1995
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Employment
History
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James Madison University     Harrisonburg, VA
Assistant Professor of Mathematics,   2003-Present
Kansas State University     Manhattan, KS
Instructor in Mathematics,   2000-2003
Dartmouth College     Hanover, NH
Lecturer in Mathematics,     1997-2000
Teaching Assistant,     1995-1997
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Research
Interests
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General Interests:   Algebraic Graph Theory, Analytic Number Theory, Evolutionary Biology
Specific Interests: Isoperimetric numbers of Cayley graphs, Exponential Sums, Evolution and Creationism
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Publications
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Books
- Taking Sudoku Seriously: The Math Behind the World's Most Popular Pencil Puzzle (With Laura Taalman)
Forthcoming from Oxford Univsersity Press.
- Among the Creationists: Dispatches From the Anti-Evolution Frontline
Forthcoming from Oxford University Press.
- The Monty Hall Problem: The Remarkable Story Behind Math's Most Contentious Brainteaser
Oxford University Press, New York, 2009.
Research Publications
- Dominic Lanphier, Jason Rosenhouse,  
Cheeger Constants of Arithmetic Hyperbolic 3-Manifolds
To Appear in the Illinois Journal of Mathematics
- Jason Rosenhouse,  
Constructing Cayley Graphs Via Tesselations of Riemann Surfaces
Congressus Numerantium, Vol. 179, (2006). pp. 209-213
- D. Lanphier, C. Miller, J. Rosenhouse, A. Russell,  
Expansion Properties of Levi Graphs
Ars Combinatoria, Vol. 80, 2006. pp. 3-9
- Dominic Lanphier, Jason Rosenhouse,  
Lower Bounds on the Cheeger Constants of Highly Connected Regular Graphs
Congressus Numerantium, Vol. 173, 2005. pp. 65-74
- Dominic Lanphier, Jason Rosenhouse,  
A Decomposition Theorem for Cayley Graphs of Picard
Group Quotients
The Journal of Combinatorial Mathematics and Combinatorial Computing, Vol. 50, 2004. pp. 95-104.
- Dominic Lanphier, Jason Rosenhouse,  
Cheeger Constants of Platonic Graphs
Discrete Mathematics, Vol. 227, Nos. 1-3, 2004. pp. 101-113
- Todd Cochrane, Christopher Pinner, Jason Rosenhouse,  
Sparse Polynomial Exponential Sums
Acta Arithmetica, Vol. 108, No. 1, 2003. pp.37-52.
- Todd Cochrane, Christopher Pinner, Jason Rosenhouse,  
Bounds on Exponential Sums and the Polynomial Waring Problem Mod p
Journal of the London Mathematical Society, Vol 67, No. 2, 2003. pp. 319-336.
- Jason Rosenhouse,  
Isoperimetric Numbers of Cayley Graphs Arising from Generalized Dihedral Groups
The Journal of Combinatorial Mathematics and Combinatorial Computing, Vol. 42, August 2002. pp. 127-138.
Expository Essays
- S. K. Lucas, J. Rosenhouse, A. Schepler, The Monty Hall Problem, Reconsidered,
Mathematics Magazine, December 2009, pp. 332-342.
- S. K. Lucas, J. Rosenhouse,  
Optimal Strategies for the Progressive Monty Hall Problem
The Mathematical Gazette, Vol. 93, No. 528, November 2009, pp. 410-419.
- Jason Rosenhouse, 
The Deal or No Deal Problem
Math Horizons, September 2008, P. 11
- Glenn Branch, Jason Rosenhouse,  
Media Coverage of Intelligent Design
BioScience, Vol. 56, No. 3, 2006. pp. 247-252.
- Jason Rosenhouse,  
Leaders and Followers in the Intelligent-Design Movement
BioScience, Vol. 53, No. 1, January 2003. pp. 6-7.
- Jason Rosenhouse,  
Probability, Optimization Theory and
Evolution
Evolution: The International Journal of Organic Evolution, Vol. 56, No. 8, August 2002, pp. 1721-1722.
Reprinted in Reports of the National Center for Science Education, September-October 2003, Vol 23, Nos. 5-6, pp. 48-52.
- Jason Rosenhouse,  
How Anti-Evolutionists Abuse Mathematics
The Mathematical Intelligencer, Vol. 23, No. 4, Fall 2001. pp. 3-8.
Popular Science
- Jason Rosenhouse, Report on the 2005 Creation Mega Conference, Lynchburg VA, July 2005
Skeptic, Vol. 12, No. 2, 2006. pp. 11-15.
- Jason Rosenhouse,  
Why Scientists Get so Angry When Dealing With Intelligent-Design Proponents
Skeptical Inquirer, Vol. 29, No. 6, 2005. pp. 42-45.
- Jason Rosenhouse.   Dembski, Darwin and Devils
Skeptic, Vol. 11, No 2, 2004. pp. 79-84.
- Jason Rosenhouse,   Wrong Questions, No
Answers
Skeptic, Vol. 10, No. 1, 2003. pp. 86-88.
- Jason Rosenhouse,   How do ID Proponents Behave When Preaching to the Choir?
Skeptic, Vol. 10, No. 1, 2003. pp. 14-17.
- Jason Rosenhouse,  
Does Theology Have Any Content?
Free Inquiry, Vol. 22, No. 4, Fall 2002. pp. 66.
- Jason Rosenhouse,
Rhetorical Legerdemain in Intelligent-Design Literature
in Darwin Day Collection One, Amanda Chesworth, ed. pp. 327-338, Tangled Bank Press, 2002.
- Jason Rosenhouse,  
On Science and Pseudoscience
The Humanist, Vol. 61, No. 5, September\October 2001. pp. 32-33.
Reprinted in Powerweb: Physical and Integrated Science, McGraw Hill: Dushkin, 2003.
- Jason Rosenhouse,  
The Design Detectives
Skeptic, Vol. 8, No. 4, 2001. pp. 59-64.
- Jason Rosenhouse,   God and Darwin
Skeptic, Vol. 8, No. 2, 2000. pp. 84-88.
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Courses
Taught
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At James Madison University
- Abstract Algebra I, II
- Graph Theory
- Calculus I, II
- Applications of Discrete Mathematics   (For current secondary school teachers)
- Fundamentals of Mathematics I, II   (For prospective elementary school teachers)
- Discrete Mathematics   (Mostly Math Majors)
- Discrete Mathematics and its Applications   (Mostly Comp. Sci. majors)
- Calculus with Functions I, II   (Intended for students with weak math backgrounds)
At Kansas State University
- Combinatorial Analysis   (For Graduate Students)
- Mathematics for Elementary School Teachers
- Introduction to Algebraic Systems   (Abstract Algebra for prosepctive high school teachers).
- Introduction to Number Theory (Twice; Once with A. Bennett)
- History of Mathematics
- Guided Independent Studies in Abstract Algebra and History of Mathematics
At Dartmouth College
- Chance   (with J. Baumgartner)
- Honors Linear Algebra
- Calculus with Algebra and Trigonometry
As a Teaching Assistant, Dartmouth College
- Advanced Placement Calculus
- Calculus with Linear Algebra
- Honors Multivariable Calculus
- Integrated Math and Physical Science
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Conference
Presentations
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Invited Talks
- "The Monty Hall Problem, Revisited" April 2007
Keynote Talk, Meeting of the MD-DC-VA Section of the MAA; Roanoke, VA.
- "Legal Battles Over Evolution", February 2007
Colloquium Talk, Center for Inquiry; Buffalo, NY.
- "Decomposition Theorems for Cayley Graphs of the Modular Group Over a Finite Field", April 2006
Mid Atlantic Algebra Conference, James Madison University; Harrisonburg, VA.
- "Cheeger Constants in Combinatorics and Geometry", November 2005
Colloquium Talk, Middle Tennessee State University; Murfreesboro, TN.
- "Lower Bounds on The Cheeger Constants of Highly Connected Graphs", March 2005
Special Session on Graph Theory, Spring Southeast Section Meeting of the AMS; Bowling Green, KY.
- "Bounds on Polynomial Exponential Sums",   January 2003
Special Session on Modular Forms, Elliptic Curves and Related Topics, Joint Mathematics Meeting, Baltimore, MD.
Contributed Talks
- "Cheeger Constants of Certain Arithmetic Hyperbolic Three-Manifolds," January 2007
AMS Session on Geometry and Topology, Joint Mathematics Meetings, New Orleans, LA.
- "Group Actions on Arithmetic Riemann Surfaces", March 2006
37th Southeastern Conference on Combinatorics, Graph Theory and Computing; Boca Raton, FL.
- "The Isoperimetetric Numbers of Certain Cayley Graphs of the Projective Special Linear Groups," &mbsp; January 2006
AMS Session on Graph Theory, Joint Mathematics Meetings, San Antonio, TX.
- "Expansion Properties of Block-Design Graphs", October 2005
19th Midwest Conference on Combinatorics, Cryptography and Computing", Rochester,NY.
- "Bounding the Isoperimetric Number from Below", March 2005
36th Southeastern International Conference on Combinatorics, Graph Theory and Computing; Boca Raton, FL.
- "Hamilton Cycles in Cayley Graphs of Picard Group Quotients", October 2004
18th Midwest Conference on Combinatorics, Cryptography and Computing; Rochester, NY.
- "New Bounds on the Isoperimetric Numbers of Platonic Graphs",   January 2004
AMS Session on Graph Theory, Joint Mathematics Meeting; Phoenix, AZ.
- "Cheeger Constants of Platonic Graphs",   March 2003
Workshop on Automorphic Forms and Related Topics, University of Colorado at Boulder; Boulder, CO.
- "A Decomposition Theorem for Cayley Graphs of the Picard Group";   November 2002
Midwest Conference on Combinatorics, Computing and Crytography, Southern Illinois University; Carbondale, IL.
- "Using Evolutionary Biology to Teach Basic Concepts in Probability",   March 2002
MAA Midwest Section Meeting, Truman State University; Kirksville, MO.
- "Isoperimetric Numbers of Cayley Graphs Associated with Generalized Dihedral Groups",   November 2000
Midwest Conference on Combinatorics, Computing and Cryptography, Wichita State University; Wichita, KS.
- "The Isoperimetric Contants of Certain 3-Regular Cayley Graphs Associated with PSL(2, Z\nZ)",   January 2000.
AMS Session on Graph Theory, Joint Mathematics Meeting; Washington, D.C.
- "Internet Resources for Teaching Statistics-The `Chance' Website",   January 2000
MAA Contributed Paper Session on Teaching Statistical Reasoning, Joint Mathematics Meeting; Washington D.C.
- "A Combinatorial Approach to Spectral Geometry",   April 1999
Workshop on Automorphic Forms and Related Topics, University of California at Santa Barbara; Santa Barabara, CA.
- "A Study of Convexification of Levi-Pseudoconvex Domains" (with Mark Nowakowski);   January 1995
AMS Special Session on Undergraduate Research, Joint Mathematics Meeting; San Francisco, CA.
Talks to Undergraduates
- "From Darwin to Dover", February 2007
Freethinker's Club, James Madison Univeristy
- "What Evolution Is", February 2006
Freethinker's Club, James Madison University
- "A Fermat's Last Theorem Primer",   April 2005
Undergraduate Mathematics and Statistics Club, James Madison University
- "Some Thoughts on the Primes",   April 2004
Undergraduate Mathematics and Statistics Club, James Madison University
- "Chess and Mathematics",   February 1993
Department Undergraduate Group, Brown University
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Seminar
Participant
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James Madison University Discrete Mathematics Seminar, 2003-2006.
Kansas State University Number Theory Seminar, 2001-2003.
Kansas State University Topology Seminar, 2000-2001.
Dartmouth College Combinatorics Seminar, 1999-2000.
Dartmouth College Number Theory Seminar, 1997-2000.
Dartmouth College Graduate Student Seminar, 1995-2000.
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Math Reviews
Contributor
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I have reviewed the following papers for Math Reviews:
- Ala Alnaser, Todd Cochrane, Warings Number Mod m,
Journal of Number Theory, Vol. 128, 2008, pp. 2582-2590.
- P. Codeca, M. Nair, An Extension of a Result of Lehmer on Numbers Coprime to n,
Ramanujan Journal, Vol. 16, pp. 59-71, 2008.
- S. Bezrukov, M. Rius, O. Serra, The Vertex Isoperimetric Problem for the Powers of the
Diamond Graph,
Discrete Mathematics, Vol. 308, 2008, pp. 2067-2074.
- J. A. Cipra, T. Cochrane, C. Pinner, Heilbronn's Conjecture on Waring's Number (mod p),
Journal of Number Theory, Vol. 125, 2007, pp. 289-297.
- DeDeo, M., Lanphier, D., Minei, M., The Spectrum of Platonic Graphs Over Finite Fields,
Discrete Mathematics, Vol. 307, 2007, pp. 1074-1081.
- Dinai, O., Poly-Log Diameter Bounds for Some Families of Finite Groups,
Proceedings of the American Mathematical Society, Vol. 134, No. 11, November 2006, pp. 3137-3142.
- Grady, L., Schwartz, Eric L., Isoperimetric Partitioning: A New Algorithm for Graph Partitioning,
SIAM Journal on Scientific Computing, Vol. 27, No. 6, pp. 1844-1866. (2006)
- Elzinga, Cees H., Combinatorial Representations of Token Sequences,
Journal of Classification, Vol. 22, pp. 87-118. (2005)
- Shparlinski, I., Winterhof, A., A Hidden Number Problem in Small Subgroups,
Mathematics of Computation, Vol. 74, No. 252, pp. 2073-2080. (2005)
- Sivasubramanian, S., Approximating the Isoperimetric Number of Strongly Regular Graphs,
Electronic Journal of Linear Algebra, Vol. 13, pp. 111-121. (April 2005).
- Oshikiri, G., A Divergence-Like Characterization of Admissible Functions on Digraphs: A Combinatorial Proof,
Interdisciplinary Information Sciences, Vol. 10, No. 2, pp. 165-167. (2004).
- Codeca, P., Nair, M., The Lesser-Known Δ-Function in Number Theory,
American Mathematical Monthly, Vol. 112, No. 2, pp. 131-140. (2005).
- Gamburd, A., Shahshahani, M., Uniform Diameter Bounds for Some Families of Cayley Graphs,
International Mathematics Research Notices, Vol. 71, pp. 3813-3824. (2004)
- Pinter, C. C., Combinatorial Tableaux in Isoperimetry,
Progress in Comp. Sci. and Applied Logic, Vol. 23, pp. 289-301. (2004).
- Chung, F., Laplacians and the Cheeger Inequality for Directed Graphs,
Annals of Combinatorics, Vol. 9, pp. 1-19. (2004)
- Ostrovskii, M., Minimal Congestion Trees,
Discrete Math, Vol. 285, No. 1-3, pp. 219-226. (2004)
- Alon, N., Benjamini, I., Stacey, A., Percolation on Finite Graphs and Isoperimetric Inequalities,
The Annals of Probability, Vol. 32, No. 3A, pp. 1727-1745. (2004).
- Bolla, M., Molnar-Saska, G., Optimization Problems for Weighted Graphs and Related Correlation Estimates,
Discrete Math, Vol. 282, No. 1-3, pp. 23-33. (2004).
- Banks, W., Conflitti, A., Shparlinski, I., Number Theoretic Designs for Directed Regular Graphs of Small Diameter,
SIAM J. Discrete Math, Vol. 17, No. 3, pp. 377-383. (2004).
- Oshikiri, G., A Divergence-Like Characterization of Admissable Functions on Digraphs,
Tohoku Math J. (2), Vol. 56, No. 2, pp. 147-153. (2004).
- Kwak, J.H. and Oh, J., Infinitely Many Finite One-Regular Graphs of Any Even Valency,
Jounral of Combintorial Theory, Series B, Vol 90, pp. 185-191. (2004).
- Higuchi, Y. and Shirai, T., Isoperimetric Constants of (d, f)-Regular Planar Graphs,
Interdisciplinary Information Sciences, Vol 9, pp. 221-228. (2003).
- Cochrane, T. and Pinner, C., Stepanov's Method Applied to Binomial Exponential Sums,
Quart. J. Math., Vol 54, pp. 243-255. (2003).
- Mokhtari-Sharghi, Shahriar, Cheeger Inequality for Infinite Graphs,
Geometria Dedicata, Vol 100, pp. 53-64. (2003).
- Motose, Kaoru, On Gauss Sums and Vandermonde Matrices,
Bull. Fac. Sci. Tech. Hirosaki Univ., Vol 6, pp. 19-23. (2003).
- Codeca, P., Nair, M., Links Between Δ(x,N)= Σ (1- xφ(N)) and Character Sums,
Bollettino U. M. I., Vol 8, pp. 509-516. (2003).
- Urakawa, Hajime, The Cheeger Constant, the Heat Kernel, and the Green Kernel of an Infinite Graph,
Monatsh Math., Vol 138, pp. 225-237. (2003).
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Memberships
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American Mathematical Society
Mathematical Association of America
American Institute of Biological Sciences
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Other
Activities
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Professional science blogger for Seed Magazine, 2006-present; Harrisonburg, VA
I write "EvolutionBlog" for Seed Magazine, a wide circulation magazine about science and society.
Peer Reviewer, 2006-present; Harrisonbrug, VA.
I have served as a peer reviewer for the journals Discrete Mathematics, Applied Mathematics Letters,
The Journal of Combinatorial Mathematics and Combinatorial Computing and Networks.
Project Supervisor, REU Program; 2004-2005; Harrisonburg, VA.
I have supervised two summer undergaduate research projects as part of the Research Experiences for Undergraduates program.
Manuscript Reviewer, 2003-present; Harrisonburg, VA.
I have reviewed book mansucripts for Oxford University Press, Houghton Mifflin and Key College Publishing.
Session Chair;   January 2004; Phoenix, AZ.
AMS Session on Graph Theory, Joint Mathematics Meeting
Kansas State University-Professional Development School Partnership;   2000-2003;   Manhattan, KS
Worked as part of a group of university professors and public school teachers in a multi-year, federally-funded project to reform the teacher
training program at Kansas State University. Responsibilities included leading small-group sessions of mathematics educators,
giving presentations to teachers in other disciplines, familiarizing myself with state teacher standards in Kansas, participating in organizational
meetings and organizing data in a presentable fashion for other Partnership participants.
Participant, Teaching of Mathematics Seminar, Dartmouth College;   Summer 1997;   Hanover, NH
In intensive, ten-week seminar, read about and disucssed many aspects of teaching mathematics, including lesson plans, group work,
cooperative learning, chalkboard technique, and evaluation. Designed and co-taught two week-long mathematics seminars
for high school students.
Consultant for Department of Education, Dartmouth College;   Spring 1997;   Hanover, NH
Analyzed data concerning the Department of Mathematics' teacher certification program and determined if the existing program
was in accordance with state guidelines. Prepared a detailed report discussing my findings.
Research Experiences for Undergraduates, Oklahoma State Univeristy;   Summer 1994;   Stillwater, OK
With two other undergraduates, conducted original research in the area of several complex variables. Advisor: Alan Noell.
Public School Volunteer, Chess Instructor;   1993-1995;   Providence, RI.
Designed an original curriculum in chess instruction for elementary and middle school students. Implemented this program in two
Providence public schools. Organized an after-school chess club for middle school students in a low-income area of Providence.
Volunteers in Providence Schools, Mathematics Tutor;   1991-1992;   Providence, RI.
Working closely with tutors in other disciplines, organized a weekly tutorial session for local students. Gave
mathematics instruction to students ranging in age from eight to twenty, in subjects ranging from basic arithmetic to calculus.
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