Not in my name either Trying to stand firm Smiles from the cradle of civilization Collaboration meeting

Dr David John Broadhurst


Group (global):

High Energy Theory


  • arXiv
  • topcite
  • Algebraic approach to primality proving
  • The knottiest of 9-crossing knots

    Personal details:

    Quizzically available


    (+44) 1908 655169 (School of Physical Sciences)


    (+44) 1908 655667 (but email is preferable)


    School of Physical Sciences, Open University, Milton Keynes MK7 6AA, UK


    WS 134, Robert Hooke building, Walton Hall


    Theoretical high energy physics: application of quantum field theory to the interactions of particles at high energy; evaluations of multi-loop Feynman diagrams by computer algebra and high-precision numerical techniques; developing connections between: knot theory, number theory, and field theory.

  • Crandall memorial puzzle on primes from Bessel moments

  • A review of a simply wonderful biography of Dirac by Graham Farmelo

  • Article in Science News about work with David Bailey

  • High performance computing

  • Bibliographic notes on Knot/Number/Field Theory with Dirk Kreimer

  • Attempt at determining a Wiles number

  • Videos of seminars given on

    Periods in quantum field theory, Rio, June 2015

    Honary multiple zeta values and modular forms

    Singular values of elliptic integrals in quantum field theory

    Dyson-Schwinger solutions from the Hopf algebra of renormalization

  • Co-workers span the globe

  • Record primes

  • Link to High Energy Theory
  • Link to Faculty of Science, Technology, Engineering and Mathematics
  • Link to Open University

  • Motto: al-jabr wa'l-muqabala / restauratio et oppositio / Wiederherstellung und Gegenueberstellung

  • Quotations:

    On exactitude:

     Le moyen infaillible de rajeunir une citation
     est de la faire exacte.
     Emile Faguet (1847-1916)

    On transience:

     Alles Vergaengliche ist nur ein Gleichnis.
     Johann Wolfgang von Goethe (1749-1832) 

    On advocacy:

     Bring vor, was wahr ist;
     schreib so, dass es klar ist.
     Und verficht's bis
     es mit dir gar ist!
     Ludwig Boltzmann (1844-1906)

    On reason:

     El sueno de la razon produce monstruos.
     Francisco Jose de Goya y Lucientes (1746-1828) 

    On fortitude:

     I believe that despite the enormous odds which exist,
     unflinching, unswerving, fierce intellectual determination,
     as citizens, to define the real truth of our lives and our
     societies is a crucial obligation which devolves upon us all.
     It is in fact mandatory.
     Harold Pinter (1930-2008)

    On purpose:

     Live modestly and do serious things.
     Dorothy Mary Crowfoot Hodgkin (1910-1994)

    On perseverance:

     I do not enter into that notion of varying ones
     plans to keep the Publick in good humour...
     I imagine myself driving a nail.
     I have driven it some way --
     by persevering with this nail I may drive it home.
     John Constable (1776-1837)

    On provisionality:

     For the best principles, excepting divine, and mathematical, 
     are but hypotheses; within the circle of which, we may 
     indeed conclude many things, with security from error: but 
     yet the greatest certainty, advanced from supposal, is still 
     but hypothetical. So that we may affirm, that things are 
     thus and thus, according to the principles we have espoused: 
     but we strangely forget ourselves, when we plead a necessity 
     of their being so in nature, and an impossibility of their 
     being otherwise.
     Joseph Glanvill (1636-1680)

    On cautious reasoning:

     The "Origin" provided us with the working hypothesis we sought.
     Moreover, it did the immense service of freeing us for ever
     from the dilemma -- refuse to accept the creation hypothesis,
     and what have you to propose that can be accepted by any cautious
     reasoner? In 1857 I had no answer ready, and I do not think that
     anyone else had. A year later we reproached ourselves with dullness
     for being perplexed with such an inquiry. My reflection, when I
     first made myself master of the central idea of the "Origin" was,
     "How extremely stupid not to have thought of that!"
     Thomas Henry Huxley (1825-1895)

    On exerimental philosopy:

     I have not been able to discover the cause of those properties 
     of gravity from phenomena, and I frame no hypotheses. For whatever 
     is not deduc'd from the phenomena, is to be called an hypothesis; 
     and hypotheses, whether metaphysical or physical, whether of occult 
     qualities or mechanical, have no place in experimental philosophy.
     Isaac Newton (1642--1727)

    On the limitations of atheism

     I am not religious, but I place high value on the religious 
     experience of believers ... those who do not understand what 
     it is to be religious, do not understand what human beings 
     live by. That is why dry atheists seem to me blind and deaf 
     to some forms of profound human experiences ...
    Isaiah Berlin (1909--1997)

    On skepticism:

     I keep six honest serving-men
     (They taught me all I knew);
     Their names are What and Why and When
     And How and Where and Who.
     Rudyard Kipling (1865-1936)

    On equivocation:

     Three reasons have been given for attacking Iraq.
     One is to get rid of weapons of mass destruction;
     the second is to destroy the link with al-Qaida;
     the third is to get rid of a bad regime.
     It depends which day of the week you talk to them,
     or perhaps to whom you talk, which one is emphasised.
     My personal opinion is that none of these three matter really.
     The decision to get rid of the regime was made a long time ago;
     it is nothing to do with al-Qaida.
     It is part of a policy of pursuing US dominance.
     Joseph Rotblat (1908-2005)

    On the importance of never growing up:

     I think physicists are the Peter Pans of the human race.
     They never grow up and they keep their curiosity.
     Isidor Isaac Rabi (1898-1988)

    On character:

     Nearly all men can stand adversity,
     but if you want to test a man's character,
     give him power.
     Abraham Lincoln (1809-1865)

    On race:

     an Arab has no superiority over a non-Arab 
     nor a non-Arab has any superiority over an Arab; 
     also a white has no superiority over black 
     nor a black has any superiority over white 
     except by piety and good action 
     Muhammad ibn Abdullah (circa 570-632 CE)

    On responsibility:

     The disappearance of a sense of responsibility is the
     most far-reaching consequence of submission to authority.
     Stanley Milgram (1933-1984)

    On patriotism:

     Man is the only Patriot. He sets himself apart in his own country,
     under his own flag, and sneers at the other nations,
     and keeps multitudinous uniformed assassins on hand at heavy expense
     to grab slices of other people's countries,
     and to keep them from grabbing slices of his.
     And in the intervals between campaigns he washes the blood off his hands
     and works for "the universal brotherhood of man" -- with his mouth.
     Mark Twain (1835-1910)

    On education:

     If you work hard and diligently you should be able to detect
     when a man is talking rot. And that, in my view, is the main,
     if not the sole purpose of education.
     Harold Macmillan (1894-1986), quoting his tutor in classics

    On political rights:

     Political rights do not originate in parliaments; they are, rather,
     forced on parliaments from without. And even their enactment into law
     has for a long time been no guarantee of their security...
     Political rights do not exist because they have been legally set down
     on a piece of paper, but only when they have become the ingrown habit
     of a people...
     We compel respect from others when we know how to defend our
     dignity as human beings. This is not only true in private life,
     it has always been the same in political life as well.
     Rudolf Rocker (1873-1958)

    On the wealth of nations:

     All for ourselves, and nothing for other people, seems, in every age
     of the world, to have been the vile maxim of the masters of mankind.
     Adam Smith (1723-1790)

    On justice:

     If you are neutral in situations of injustice,
     you have chosen the side of the oppressor.
     Desmond Mpilo Tutu (b. 1931)

    On the arc of the moral universe:

     I do not pretend to understand the moral universe, 
     the arc is a long one, my eye reaches but little ways. 
     I cannot calculate the curve and complete the figure by 
     the experience of sight; I can divine it by conscience. 
     But from what I see I am sure it bends towards justice.
     Theodore Parker (1810-1860)

    On democracy:

     I have hinted that what people are afraid of in democracy is less
     the thing itself than what they conceive to be its necessary
     adjuncts and consequences. It is supposed to reduce all mankind
     to a dead level of mediocrity in character and culture, to
     vulgarize men's conceptions of life, and therefore their code of
     morals, manners, and conduct - to endanger the rights of property
     and possession. But I believe that the real gravamen of the
     charges lies in the habit it has of making itself generally
     disagreeable by asking the Powers that Be at the most
     inconvenient moment whether they are the powers that ought to be.
     If the powers that be are in a condition to give a satisfactory
     answer to this inevitable question, they need feel in no way
     discomfited by it.
     James Russell Lowell (1819-1891)

    On independence:

     If you always do what interests you,
     at least one person is pleased.
     Katherine Hepburn (1907-2003)

    On humanity:

     What do we live for if not to make the
     world less difficult to each other?
     Mary Ann Evans (1819-1880)

    On intellectual property:

     He who receives an idea from me, receives instruction
     himself without lessening mine; as he who lights his
     taper at mine, receives light without darkening me.
     Thomas Jefferson (1743-1826)

    On the interweaving of lives:

     I wish to say that it is in personal union with my friends 
     that I hope to escape the despair which belongs to the 
     contemplation of the outward aspect of things with human eyes. 
     Either be a machine and see nothing but "phenomena", 
     or else try to be a man, feeling your life interwoven, as it is, 
     with many others, and strengthened by them whether in life or in death.
     James Clerk Maxwell (1831-1879) 

    On scientific enterprise:

     This is what makes up scientific enterprise:
     longing to know and understand,
     searching for meaningful relations, 
     demand for verification,
     respect for logic.
     Albert Vinicio Baez (1912-2007)

    On speaking for the weak:

     We are called to speak for the weak, for the voiceless, 
     for the victims of our nation, for those it calls enemy, 
     for no document from human hands can make these humans 
     any less our brothers.
    Martin Luther King (1929-1968) 

    On Abrahamic tradition:

     To save one life is to save all of humankind.
     Jerusalem Talmud, Sanhedrin 4:1:22a 
     Holy Quran, Surah 5:32

    On mathematics:

     The science of numbers is at
     the root of all the sciences,
     the foundation of wisdom,
     the source of knowledge
     and the pillar of meaning.
     From the summary "al-Risalat al-Jami'a"
     of the encyclopedia "Rasa'il ikhwan as-safa' wa khillan al-wafa"
     by the Brethren of Purity, circa 1000 CE.
  • With Amber Ruan Thompson Broadhurst
  • With Jemima Seren Broadhurst
  • With Margaret Elizabeth Broadhurst
  • With Andrew Richard Broadhurst
  • Jemima and Matilda Broadhurst
  • Amber and Tate Broadhurst
  • Trying to stand firm and to lend a voice to others
  • Not in my name either
  • Smiles from the cradle of civilization
  • Collaboration meeting
  • Opposed to these 4 guys
  • With John, Chris and Gerard

    Nota bene: No electron was destroyed in the preparation of this page. However, note warnings.

    David Broadhurst, 20 October 2018

    David Broadhurst is entirely and exclusively responsible for these pages. Clearly, the views expressed here do not necessarily represent views of the Open University. The Open University is hereby expressly denied any assumption of responsibility for any material on these personal pages, be it sound or otherwise.

    Postscriptum: The Open University was incorporated by Royal Charter in a document authorized on 23 April 1969 and sealed by "Dobson", Clerk of the Crown in Chancery, on 30 May 1969. It is registered at Companies House under number RC 000391. The University is an exempt charity in England and Wales and a charity registered in Scotland under number SC 038302. It also serves Northern Ireland, which is part of the United Kingdom, though it appears that we have no legal duty to say so.

    This is a spider trap.