Contact
  • King Building 205A
  • 440-775-6090
  • Monday & Wednesday 1:30-2:30
    Tuesday & Thursday 3:30-5:00
    Also by appointment
    Call cell phone to schedule: (440) 935-6090

Education

  • Bachelor of Arts, Oberlin College, 1985
  • Master of Science, Rensselaer Polytechnic Institute, 1987
  • Doctor of Philosophy, Yale University, 1991 

Biography

Current Research Interest: Opt Art

Currently I am interested in using optimization to create pictures, portraits, and other works of art. See my TSP Art and Domino Artwork pages for examples.

Courses Spring 2017

Statistics 113-01 Introduction to Statistics
Monday, Tuesday, Wednesday, and Friday 10:00-10:50 p.m.

Statistics 113-02 Introduction to Statistics
Monday, Tuesday, Wednesday, and Friday 11:00-11:50 p.m.

Selected Publications

  • "Opt Art", Math Horizons 14(3) (2006) 6-9.
  • "TSP Art" (with C.S. Kaplan), Proceedings of Bridges 2005 (2005) 303-310. See Craig Kaplan's marvelous TSP Art web page!
  • "Pointillism via Linear Programming" (with A. Herman), The UMAP Journal 26(4) (2005) 393-400.
  • "Continuous Line Drawings via the Traveling Salesman Problem" (with A. Herman), Operations Research Letters 32 (2004) 302-303.
  • "Constructing Domino Portraits" in Tribute to a Mathemagician, ed. B. Cipra et al., A.K. Peters, 2004, 251-256.
  • "Constraint Programming and Hybrid Formulations for Three Life Designs" (with M. Trick), Annals of Operations Research 130 (2004) 41-56.
  • "Maximizing Fun at an Amusement Park" (with M. Cardiff and G. Hughes), The UMAP Journal 21(4), 483-498, (2000).
  • "Finding Optimal Piano Fingerings" (with M. Hart and E. Tsai), The UMAP Journal 21(2) (2000) 167-177.
  • "Optimal Card-Collecting Strategies for Magic: The Gathering", The College Mathematics Journal 31(1) (2000) 15-21.
  • "Integer Programming and Conway's Game of Life", SIAM Review 41(3) (1999) 596-604.
  • "Separating Hyperplanes and the Authorship of the Disputed Federalist Papers" (with J.A. Smith), The American Mathematical Monthly 105(7) (1998) 601-608.
  • Refinements of Paltiel and Kaplan's Decision-theoretic Model of AIDS Clinical Trials" (with N.K. Stout), Socio-Economic Planning Sciences 31(2) (1997) 87-101.
  • "The Battle of the Burger Chains: Which is Best---Burger King, McDonald's, or Wendy's?", Socio-Economic Planning Sciences 30(3) (1996) 157-162.
  • "A New Infinity-Norm Path Following Algorithm for Linear Programming" (with K.M. Anstreicher), SIAM Journal on Optimization 5 (2) (1995) 236-246.
  • "Big Mac Attack: The Diet Problem Revisited at McDonald's", OR/MS Today August (1993) 30-31.
  • "Long Steps in an O(n3L) Algorithm for Linear Programming" (with K.M. Anstreicher), Mathematical Programming 54 (1992) 251-265.

Faculty Notes

  • Robert Bosch Featured in Article

    January 3, 2017

    Professor of Mathematics Robert Bosch was the subject of an article in Proceedings of the National Academy of Science,"Solving a Math Problem to Create Art."

  • Bob Bosch Gives Talks

    April 7, 2016

    Professor of Mathematics Bob Bosch recently gave two talks at the invitation-only Gathering for Gardner Conference, held in Atlanta every two years in honor of Martin Gardner, who wrote Scientific American’s "Mathematical Games" column from 1956 to 1981.

    Bosch's first talk, "Numerically Balanced Dice," a collaboration with The Dice Lab's Robert Fathauer and Henry Segerman, unveiled the world's first mass-produced injection-molded 120-sided die (based on the disdyakis triacontahedron). The die is numerically balanced in that numbers on opposite sides sum to 121, and all of the vertex sums are exactly what they should be (the degree of the vertex times the average of the numbers on the die).

    Bosch's second talk, "Game-of-Life Animations," presented Game-of-Life patterns that resemble works of art (including a Magritte still life, a portrait of John Horton Conway, the game's inventor, and two animations based on Eadward Muybridge's locomotion studies).

  • Robert Bosch ’85 Speaks at MoMath

    February 4, 2016

    Professor Mathematics Robert Bosch ’85 delivered the talk “Life is Beautiful: The Startling Consequences of Three Simple Rules” at MoMath (the National Museum of Mathematics) on February 3. Bosch’s talk was part of the Math Encounters presentation series.

  • Bob Bosch Delivers Address & More

    November 19, 2015

    Professor of Mathematics Bob Bosch delivered the banquet address on November 6 at the MD DC VA Fall Sectional Meeting of the Mathematics Association of America. The address, "Opt Art," was a survey of Bosch’s efforts to use mathematical and computer science-based optimization techniques to design visual artwork.

    On November 9, Bosch participated in the opening of the exhibition In the Realm of Forms at the Pearl Conard Gallery at the Ohio State University, Mansfield. The exhibition is open through December 8.

    Finally, Bosch’s 2006 continuous line drawing Knot?, an early example of his TSP Art, makes an appearance in art historian Lynn Gamwell's new book "mathematics + art: a cultural history".

  • Robert Bosch Publishes in Journal of Mathematics and the Arts

    January 15, 2015

    An article by Professor of Mathematics Robert Bosch '85 and mathematics major Julia Olivieri '16 was recently published in the Journal of Mathematics and the Arts. The article, "Designing Game of Life Mosaics with Integer Programming," describes how Bosch and Olivieri used mathematical optimization techniques to construct sets of tiles that can be interpreted as still lifes (stable objects) or phoenix patterns (period-2 oscillators) in Conway's Game of Life. The tiles are modular and have various brightness levels, making them suitable for making mosaics. At the present time, the article is available for free.