CURRICULUM VITAE:
ARTHUR T. BENJAMIN
Address:
Department of Mathematics
Harvey Mudd College
Claremont, CA 91711
(909) 6218688
benjamin@hmc.edu
Education:
 B.S. with highest honors from CarnegieMellon University, Applied
Mathematics, 1983.
 M.S.E., Johns Hopkins University, Mathematical Sciences, 1985.
 Ph.D., Johns Hopkins University, Mathematical Sciences, 1989.
Dissertation: "Turnpike Structures for Optimal Maneuvers," Advisor:
Alan J. Goldman.
Honors and Awards:
 Rufus P. Isaacs Fellowship, Johns Hopkins University, 1984.
 National Science Foundation Graduate Fellowship 198588.

George E. Nicholson Prize, for the paper "Graphs, Maneuvers and
Turnpikes," awarded by the Operations Research Society of America,
1988.
 Mayfield High School (Ohio) Alumni Hall of Fame, 1996.
 First Place,
American Backgammon Tour, 1997. Number 6 on
Alltime list.
 Distinguished Teaching Award, Southern California Section of MAA,
1999.
 Fellow of the Institute of Combinatorics and its Applications, 2000.
 National Teaching Award, (Haimo
Prize) , awarded by MAA, 2000.
 CHOICE Award,
Outstanding Academic Title, for Proofs
that Really Count: The Art of Combinatorial Proof from the
American Library Association, 2004.
 Designated "America's
Best
Math Whiz" by Reader's Digest Magazine, Best of America
issue, May 2005.
 AMS Award for
Exemplary Program or Achievement in a Mathematics Department
(awarded to HMC Mathematics Department). We were the first recipients
of this award, 2006.

Beckenbach Book Prize, for Proofs
that Really Count: The Art of Combinatorial Proof from the
Mathematical Association of America, 2006.
 MAA Polya
Lecturer , 20062008.
 TED speaker 2005 and 2009 (Among the top 5 most viewed TED
talks.)
 Selected by Princeton Review as one of The
Best 300 Professors, 2012.
 Endowed Chair: Smallwood Family Professor of Mathematics, 2015.
 New York Times Bestseller
in Education (top 10): The Magic of
Math: Solving for x and
Figuring Out Why.
 CHOICE Award,
Outstanding Academic Title, for
The Fascinating World of Graph
Theory from
the American Library Association, 2016.
Work Experience:
 Smallwood Family Professor of
Mathematics, Harvey Mudd College, 2015 to present.
 Professor of Mathematics, Harvey Mudd College, 2000 to present.
 Chair, Department of Mathematics, Harvey Mudd College, 2002
to 2004.
 Associate Chair, Department of Mathematics, Harvey Mudd College,
2001 to 2002.
 Extended Graduate Faculty, Claremont Graduate University, 1999 to
present.
 Associate Professor of Mathematics, Harvey Mudd College, 1995 to
2000.
 Assistant Professor of Mathematics, Harvey Mudd College, 1989 to
1995.
 Mathematician, Institute for Defense Analyses, Princeton, NJ, Summer
1989.
 Discreet Mathematician, National Security Agency, Washington, D.C.,
Summer 1987.
 Senior Staff Member, Hampshire College Summer Studies in Mathematics
program, Hampshire College, Amherst, MA, Summer 1986.
 Mathematician, National Bureau of Standards, Gaithersburg, MD,
Summer 1985.
 Research Assistant, IBM, T. J. Watson Research Center, Yorktown
Heights, NY, Summer 1982.
 Research Assistant, Department of Psychology, CarnegieMellon
University, Pittsburgh, PA, 198083.
Sabbatical appointments:
 Visiting Professor, Department of Mathematics, Caltech, 19951996.
 Visiting Professor, Department of Mathematics, Brandeis University,
Fall 2004.
 Visiting Professor, School of Mathematics, University of New South
Wales, Sydney, Australia, Spring 2005.
 Visiting Professor, Department of Physics, Oxford University,
20122013.
Papers (includes 78 research papers, 12 expository papers, 10 book
reviews and letters, 4 DVD courses, and 8 books):
Click here to
see a list of my papers, preprints, and books.
Research Talks (282 talks (including 3 TED talks), and counting):
Click here to
see a list of my research talks.
Books:
 Teach Your Child Math.
(with Michael B. Shermer)
McGraw Hill, New York, 177 pages, 1991. (Out of Print.)
 Mathemagics: How to Look like a
Genius Without Really Trying.
(with Michael B. Shermer)
McGraw Hill (BookoftheMonthClub Selection), New York, 218 pages,
1993, 1998. (Out of Print. Updated as Secrets of Mental Math.)
 Proofs That Really Count: The Art of
Combinatorial Proof.
(with Jennifer J. Quinn)
Mathematical Association of America, Dolciani Series, Washington DC,
208 pages, 2003. (Order
here!)
 Secrets of Mental Math: The
Mathemagician's Guide to Lightning Calculation and Amazing Math
Tricks.
(with Michael B. Shermer;
translated into more than 10 languages!)
Random House, New York, 279 pages, 2006. (This is an updated version
of Mathemagics.)
 Biscuits
of Number Theory.
(coedited with Ezra B. Brown)
Mathematical Association of America, Dolciani Series, Washington DC,
311 pages, 2009. (Order
here!)
 The Art of Mental Calculation: Addition
& Subtraction
(with Natalya St. Clair)
selfpublished with createspace.com, 60 pages, 2014. (Order
here!)
 The Fascinating World of Graph Theory
(with Gary Chartrand and Ping Zhang)
Princeton University Press, Princeton NJ, 322 pages, 2015. (Order
here!)
 The Magic of Math: Solving for x
and Figuring Out Why
Basic Books, New York, NY, 336 pages, 2015. (New
York Times Bestseller!) (Order
here!)
DVD Courses (from The Great Courses):
 The Joy of Mathematics.
The Teaching Company, Chantilly, VA (24 thirty minute lectures on
DVD), 2007.
(Order here!)
 Discrete Mathematics.
The Teaching Company, Chantilly, VA (24 thirty minute lectures on
DVD), 2009.
(Order here!)
 The Secrets of Mental Math
The Teaching Company, Chantilly, VA (12 thirty minute lectures on
DVD), 2011. (Order
here!)
 The Mathematics of Games and
Puzzles: From Cards to Sudoku
The Teaching Company, Chantilly, VA (12 fortyfive minute lectures on
DVD), 2013. (Order
here!)
Conferences:
I organized the Eighth
Annual HMC Mathematics Conference in 2006. The topic was Enumerative
Combinatorics and our speakers were George Andrews (Pennyslvania State),
Igor Pak (MIT), Carla Savage (North Carolina State), and Doron Zeilberger
(Rutgers).
Mathemagics Presentations:
Click
here to see a list of my recent performances.
Senior Theses:
 Jeremy Billones, Optimal Strategies in PaiGow Poker, 1991.
 Eric Huggins, Optimal Blackjack Strategies with Lucky Bucks, 1991.
 Roderick Lee, Chance and Determinism: What Happens When You Add a
Coin to a NimLike Game?, 1991.
 Greg Levin, A Comparison of Negative Cycle Detection Methods, 1992.
 Jeff Vogel, A Brief Introduction to the Theory of Matroids, 1992.
 Michael Buksas, Juggling by the Numbers: A Mathematical Model of
Juggling, 1993.
 Cliff McCarthy, Determinants of the Tournaments, 1994.
 Mike Munson, Winning Backgammon, 1994.
 Tim Kokesh, Mathematics of Baseball, 1995.
 Andrew Ross, Optimal Racing in Backgammon, 1996.
 Jessica Sidman, Splitting Numbers, 1997.
 Kan Yasuda, Squares of Magic Squares, 1997.
 Aaron Archer, Coloring Theorems, 1998.
 Andrew Hutchings, Applications of SemiDefinite Programming, 1998.
 Matthew Fluet, Searching for Optimal Strategies in Knock 'm Down,
1999.
 David Rudel, Solving x^2 + y^2 = z^n, 1999.
 Helen Monroe, NPerson Coalitional Games: The Power of More Than
One, 2000.
 Kylie Bryant, Genetic Algorithms and the Travelling Salesman
Problem, 2001.
 Greg Preston, A Combinatorial Approach to Harmonic Numbers, 2001
 Jeremy Rouse, Combinatorial Proofs of Congruences, 2003.
 Alexander Eustis, The Negs and Regs of Continued Fractions, 2006.
 Jonathan Azose, A Tiling Interpretation of qBinomial Coefficients,
2007.
 Daniel Walton, A Tiling Approach to Chebyshev Polynomials, 2007.
 Sean Plott, Functions of the Binomial Coefficient, 2008.
 Bob Chen, Combinatorial Proofs Using Complex Weights, 2010.
 Elizabeth Reiland, Combinatorial Proofs of Fibonomial Identities,
2011.
 Curtis Heberle, A Combinatorial Approach to rFibonacci Numbers,
2012.
 Kym Louie, Flatterland: The Play, 2012.
 Eric Stucky, Kastelyn's Solution of the Dimer Model, 2015.
Editorial Boards:
 The College Mathematics Journal, 2014 to 2018.
 Math Horizons, coEditor,
2004 to 2008.
 Mathematics Magazine, 1996 to 2005.
 The UMAP Journal, The Journal of Undergraduate Mathematics and its
Applications, 1990 to present.
 Involve, A Journal of Mathematics, 2006 to present.
 Anneli Lax New Mathematical Library, Mathematical Association of
America, 2000 to 2003.
 Spectrum Book Series, Mathematical Association of America, 1995 to
2000 (Editor from 1996 to 2000).
Service to the Profession:
 Secretary, The Fibonacci Association.
 Member at Large, AMS Governing Council, 2012 to
present.
 Chair, MAA Carriage House Committee, Washington, DC.
 MAA Program Committee for Joint Meetings, 2009.
 Chair, Carriage House Advisory Board Subcommittee for
Opening Ceremony, MAA, Washington, DC.
 Advisory Network for Department of Applied Mathematics and
Statistics, Johns Hopkins University.
 Advisory Panel for Mathematics Department, Rose Hulman Institute of
Technology.
 Program Committee, Joint Meetings of AMS/MAA, Washington, DC 2009.
 Chair, Southern CaliforniaNevada Section of MAA (20092010).
 Vice Chair, Southern CaliforniaNevada Section of MAA (2008 to
2009).
 Governor, Southern CaliforniaNevada Section of MAA
(2004 to 2007).
 SecretaryTreasurer, Southern CaliforniaNevada Section of MAA
(1999 to 2004).
 MAA Program Chair, Joint Meetings of AMS/MAA, San Diego, CA 2002
 MAA Program Chair, MAA MathFest, Boulder, CO 2003
Memberships:
 American Mathematical Society (AMS)
 Association for Women in Mathematics (AWM)
 The Fibonacci Association (Board of Directors and Secretary)
 Institute of Combinatorics and its Applications (ICA)
 Mathematical Association of America (MAA)
 National Council of Teachers of Mathematics (NCTM)
 The Magic Castle
 US Backgammon Federation (Board of Directors, since 2012)
Referee for these journals and book series:
 American Mathematical Monthly
 Annals of Combinatorics
 Anneli Lax New Mathematical Library (MAA)
 Ars Combinatoria
 Applications of Fibonacci Numbers
 The College Mathematics Journal
 Discrete Mathematics
 Discrete Applied Mathematics
 Electronic Journal of Combinatorics
 European Journal of Combinatorics
 The Fibonacci Quarterly
 INTEGERS: The Electronic Journal of Combinatorial Number Theory
 Involve: The Journal of Undergraduate Mathematics
 The International Journal of Combinatorics
 Journal of Applied Probability
 Journal of Combinatorial Mathematics and Combinatorial Computing
 Journal of Combinatorial Theory, Series A
 Journal of Integer Sequences
 The Journal of Magic Research
 Management Science
 Math Horizons
 Mathematical Intelligencer
 Mathematics Magazine
 Naval Research Logistics
 Notices of the American Mathematical Society
 Oxford University Press
 Pi Mu Epsilon Journal of Mathematics
 Princeton University Press
 Rocky Mountain Journal of Mathematics
 SIAM Review
 Spectrum Book Series (MAA)
 The UMAP Journal
 Utilitas Mathematica
Courses Taught:
 Calculus
 Linear Algebra (with Discrete Dynamical Systems)
 Discrete Mathematics
 Introduction to Probability and Statistics
 Combinatorics
 Intermediate Probability
 Mathematical Statistics
 Stochastic Processes
 Abstract Algebra
 Number Theory
 Stochastic Operations Research
 Deterministic Operations Research
 Mathematics of Games and Gambling
 Math Horizons
 Math Forum
 Mathematics Clinic
 Senior Thesis
Hobbies:
I enjoy attending theatre, playing competitive backgammon, writing
parodies, racing calculators and performing magic.
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