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Donald B Gillies

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Residence  US
Role  Mathematician
Name  Donald Gillies
Nationality  Canadian

Donald B. Gillies

Born  Donald Bruce Gillies 15 October 1929 Toronto, Ontario, Canada (1929-10-15)
Institutions  University of Illinois, Stanford (sabbatical), National Research Development Corporation, UK
Alma mater  University of Toronto University of Illinois Princeton University
Doctoral students  Milos Dragutin Ercegovac Lawrence Joseph Henschen Allan William McInnes Ian Stocks Greg Chesson Alan M. Davis
Died  July 17, 1975, Urbana, Illinois, United States
Education  Princeton University (1951–1953)
Fields  Mathematics, Computer Science

Doctoral advisor  John von Neumann

Donald b gillies

Donald Bruce Gillies (October 15, 1928 – July 17, 1975) was a Canadian mathematician and computer scientist, known for his work in game theory, computer design, and minicomputer programming environments.


Donald B. Gillies Donald B Gillies YouTube


Donald B. Gillies was born in Toronto, Ontario, Canada and attended the University of Toronto Schools, a laboratory school originally affiliated with the University. Students at this Ontario school skipped a year ahead and so he finished his 13th-grade studies at the age of 18.

Gillies attended the University of Toronto (1946–1950), intending to major in Languages and started his first semester taking seven different language courses. In his second semester he quickly switched back to majoring in Mathematics which was his love while in high school. During his time as an undergraduate, he spent a great deal of time at the U-Toronto Computation Center. In the Putnam exam competition of 1950, Gillies was stunned at not being selected by the faculty to compete with the U-Toronto team. To avenge himself, Gillies placed in the top 10 in North America, following his University of Toronto classmates John P. Mayberry and Richard J. Semple who were top 5 Putnam Fellows. Toronto would likely have won the competition in 1950 had Gillies been on the faculty-designated team.

For graduate school, Gillies applied to the University of Illinois University of Illinois at Urbana-Champaign, which was "a very busy place building lots of computers". While he was there, he began working on the ORDVAC/Illiac I project. After one year of graduate school (1951), Gillies transferred to Princeton University to work with John von Neumann, at the urging of and also to be with John P. Mayberry, who was also studying under John von Neumann. Gillies and Mayberry were both arch-rivals and best friends, and after Mayberry beat Gillies in the Putnam exam, each competed to finish their PhD degree first.

At Princeton Gillies met his future wife, Alice E. Dunkle, and began dating her, but after several months, their relationship fizzled. Miss Dunkle, knowing of the rivalry between Mayberry and Gillies, intentionally flirted with Mayberry, who subsequently approached Gillies to ask if he was still dating her. This tactic, used only once, led to their eventual marriage.

During his graduate studies, and after working with von Neumann, Gillies became a fan of the book "One-upmanship" by Stephen Potter. John von Neumann was also a fan of this work, and was extremely successful at impressing others with his intelligence. An apocryphal math problem asks about a bumble bee flying back and forth between two approaching trains, and how far did it fly before colliding? When von Neumann gave the correct answer, the questioner asked if he used a standard time/rate-of-travel trick, and he replied, 'no, I summed the infinite series in my head' to impress the questioner. This method of impressing and astonishing others appealed to both Gillies and von Neumann.

During his time at Princeton his interest area was computer design first and mathematics second. He continued to work with U-Illinois researchers and participated the check-out of the ORDVAC Computer (from U-Illinois) at Aberdeen Proving Ground in Maryland, in the summer of 1951.

At one point during his graduate studies, Von Neumann found out that Gillies had been spending time working on an Assembler (something that had not yet been invented). Von Neumann became enraged and told Gillies to stop work immediately because computers would never be used to perform such menial tasks.

After only two years of study at Princeton, Gillies completed his PhD before Mayberry, at age 25, in 1953, which was published in Contributions to the theory of games, vol.2 — in which he characterized the core which is the set of stable solutions in a non-zero sum game.

Early career

Gillies then went to England for two years to work for the NRDC (National Research Development Corporation) and worked with an early Ferranti Pegasus computer there. This was done at a time when the U.S. government was drafting young people of all kinds—including Canadians—into service in the Korean War. In later years, after he returned to the U.S., the government would again try to draft Gillies, who at one point was forced to make a presidential appeal not to serve in the military.

When Gillies returned to the USA in 1956 he received a 1-A draft status which persisted until he was age 36. Upon returning to the USA, Gillies married Alice E. Dunkle and began a job as a professor at the University of Illinois at Urbana-Champaign.

In early October 1957 the Soviet Military launched Sputnik I, and caused a widespread panic across the United States. Just hours later the UIUC Astronomy Department rigged an ad-hoc interferometer to measure signals from the satellite. The astronomers approached Dr. Gillies and Dr Jim Snyder to program the ILLIAC I computer to calculate the satellite orbit from this data. The programming and calculation was completed in under two days. The very rapid publication of the ephemeris (orbit) in the journal Nature—just a month after satellite launch—helped to dispel some of the fear created by the Sputnik launch by the Soviet Union. It also lent credence to the (likely false) idea that the Sputnik launch was part of an organized effort to dominate space.

Gillies wrote 3 patents in the late 1950s. One of them laid out all the details of how to implement a base register for program relocation in computers—before it had been done. He considered these patents as kind of a joke, and assigned the rights of the patents to IBM, without taking fees for this service. This kept the ideas from being patented by others which would have hindered progress in the computer industry.

Starting in 1958, Gillies designed the 3-stage pipeline control of the ILLIAC II supercomputer at the University of Illinois. The control circuitry consisted of advanced control, delayed control, and interplay. This work was in the public domain, and competed with the Stretch computer system design from IBM that is often credited with inventing pipelining. This work was presented in a 1962 Michigan conference on computer design, "On the design of a very high speed computer"

As the main designer of the pipelined control circuitry for ILLIAC II, Gillies developed the algorithms for the month-long checkout and acceptance testing of the new computer. To draw attention to this new computer design in the field of mathematics, he wrote a mersenne prime-number algorithm and found 3 new Mersenne primes, and published them in a paper, "Three new Mersenne primes and a statistical theory." The new Mersenne primes were reported in the Guinness Book of World Records, and the largest one was immortalized on all mail sent from the Post Office (Annex) at the Math department of the University of Illinois. In the same paper, Gillies made a conjecture about the distribution of prime divisors of Mersenne numbers.

Later career

In the late 1960s, Gillies became concerned that students were not getting direct access to computers any more. He lobbied UIUC to adopt the 1968 WATFOR one-pass FORTRAN compiler / runtime system from the University of Waterloo in Ontario. This was a fast-turnaround IDE for batch-based mainframe computers. At the time it was common practice to submit a job (card deck) and pick up the results the next day. The WATFOR compiler could compile, link, and run a short program in the compiler's memory space in a few seconds. This compiler allowed the university to offer underclass programming courses not only to computer scientists but also to business majors and to other non-specialists. Gillies and his family traveled to Waterloo to pick up a magtape with this compiler, on one of his visits to see his family, in the early 1970s.

In 1969, Gillies received a preprint of Wirth's "Pascal User Manual and Report" and launched a project to build the first Pascal compiler written in North America. Ian Stocks was one of the graduate students who worked on this fast-turnaround in-memory 2-pass compiler, and the compiler (for the Digital Equipment PDP-11 minicomputer) was completed in the early 1970s. This work was part of the "PDP-11 Playpen" project which focused on getting graduate students direct access to low-cost computer hardware, such as the PDP-11/23, where the Pascal compiler ran.

Two years later at the urging of his new graduate student, Greg Chesson, Gillies became in 1974 the first licensee for the UNIX operating system from Bell Labs. Chesson went on to be the third person to edit the Unix kernel and was the eighth hire at Silicon Graphics Inc..

In memoriam

Gillies died unexpectedly at age 46 on July 17, 1975, of a rare viral myocarditis. Digital Equipment Corporation and many of his friends, colleagues, and family contributed money for the Donald B. Gillies Memorial Lectureship In Computer Science, at the University of Illinois at Urbana Champaign. This annual lectureship continues until this day.

In 1994, the Nobel Memorial Prize in Economic Sciences was awarded to John Forbes Nash. In the Nash Seminar, Gillies (who was at Princeton at the same time, and was friends with Nash) was mentioned as a pioneer in the field of game theory. Nash proved the existence of stable solutions for non-zero sum games; Gillies and Shapley extended this work by characterizing the core which is the set of stable solutions that cannot be improved by a coalition.

In 2006 the Donald B. Gillies Chair Professorship was established in the department of Computer Science at the University of Illinois. A generous donation from Lawrence (Larry) White, a former student, established this chair. The first professor to hold this chair is Lui Sha, a well-known authority on real-time and embedded systems.

In 2011, the UIUC Department of Computer Science awarded a Memorial Achievement Award to Gillies, and family members accepted the award on his behalf at the Urbana-Champaign campus.


  • Greg Chesson
  • Ian Stocks
  • Al Davis
  • Many others, some in the UIUC Mathematics Department.
  • References

    Donald B. Gillies Wikipedia