Out in the air

Out in the air
Out in the air

Monday 16 December 2019

Pastor Adeboye, Grigori Perelman And Poincare: the Mathematical Degrees of Separation. (First published in 2010)

When I read the report of how the Russian mathematician, Grigori Perelman, turned down the 1 million dollar Millennium Mathematical Prize for solving one of the most redoubtable mathematics problems, I was again reminded of the knotty linear continuum, otherwise called Africa. What has Perelman got to do with Africa? A lot more than you would guess. All right, he is not a descendant of the poet Pushkin, who had an African great-grandfather. But then, who says Perelman does not have his own African ancestor, lost in the reverse offing of time? Anyway, soon after he resolved the mathematical problem (Poincaré Conjecture), Perelman resigned from his teaching job at Steklov Institute and has since eschewed what he sees as the seamless materialism of modern life, he has escaped into a kind of temporal semi-monastic existence in a verminous flat in St Petersburg, a neo-Tolstoyan figure time-travelling into an unwritten Dostoevsky's epic.

After Nigeria's Pastor Adeboye was named one of the People of the Year in 2009, I wrote an article in which I mentioned the Millennium Mathematical Problems. I submitted that it would have been a more worthwhile achievement if Adeboye had solved one of the problems instead of winning plaudits for pronouncing the profound obscurantist drivel of hoping to plant churches in every corner of Africa. I took full cognisance that Mr Adeboye has the freedom to act according to his lights or what he considers the lights of his god – if his great God had told him to supplant mathematics with religion, then one should better leave well enough alone. After all, if there is such a saying that the road to hell is full of good intentions, I don't think it would be entirely facetious to suggest that the road to heaven may indeed be full of daft intentions.

I found it ever so slightly bemusing that it was not only Mr Adeboye who had given up a career in mathematics for a calling as a scriptural shepherd corralling flocks of Nigerian Pentecostal sheep. I understand that Mr Kumuyi, head of Deeper Life Church, was also a mathematics teacher (probably a colleague of Adeboye's) before he became yet another shepherd overseeing a huge flock. I remember someone parlaying his Christianised commonsense into my rueful observation of this coincidence: Isn't it a good thing, he argued, that mathematics loss is God's gain? Being a born-again bonehead, this person failed to reason it out that mathematics' loss is not just God's gain but yet another instance of Africa's reversion to the state of ante- or anti-enlightenment. Would it have mattered whether or not Pastors Adeboye and Kumuyi had remained run-of-the-mill mathematicians and were not even capable of solving the merest mathematical problem? Probably not. I just don't see any point in celebrating the sacrifice of mathematics to religion.

And this would not have meant anything if these two had not set a lamentable precedent that it is something to be rapturous about when someone brilliant enough to be a scholar gives academe up for preacherly calling. Today Nigeria is full of doctors, engineers, architects, lecturers and ‘professors,' who are either honorary or part-time pastors, or deacons, to use a happy-clappers' parlance, or who have given up their old professions to become full-time bible-cramming gospellers. Again, there would not have been anything wrong in a handful of well-educated lay Christians taking preferment, but for this to have become a fashion, a badge of respectability and wisdom, is pitiful. For one thing, it would seriously undercut the chances of anyone from such a society ever winning anything as rare and crucial as the Millennium Prize.

And what is this Millennium Prize, and why am I going on about it? This is a very important Prize, and considering that it is not won every year or even every four years like the Fields Medal, it may even be said that it is more important than the five intellectual Nobel prizes, more important than the latterly instituted Abel Prize. I am not the most mathematical in the village; my handhold on the finer points of maths has always been slippery and very weak indeed. While I would not presume to compare myself with such literary colossi as Updike and Soyinka, I have read both men express how the love of maths was lost on them. Possibly, the DNA sequence of the denizens of the literary republic carries an elision in numeracy, so there is no point in fussing over an expatiation on any of the Millennium Mathematical problems.

Nevertheless, I appreciate and even have an apprehension of the power of mathematics, its omnivalence, its overarching immanence in the exploration of the morphology and meaning not just of the earth, but of the whole universe, maths is the ethereal (as well as real) equivalent of carbon. From Pythagoras to Ptolemy to Newton to Einstein and even to Hawking - maths has been the instrument of choice in these men's effort to untie the few they can among the billions of knots and skeins and the mysteries of the union of space and mass. To render it further down, there could not have been such an invention as the computer I am writing now without mathematics – plus millions of other things. And although applied maths could bring forth such a beautiful – or at least useful thing - like the computer, in its pure form, it is notoriously difficult; it is dense, deep, and to a lot, metaphysically runic.

The Millennium Problems are the apogean problems of mathematics, the eminently bull-headed cruces, the bitch septet. One of them is the cognately complex Poincaré Conjecture. This conjecture is no more or less complex than the Riemann Hypothesis, P versus NP Problem, or Yang-Mills Existence and Mass Gap. In 2003, Grigori Perelman cracked, or shall we say, second-conjectured the Poincare conjecture. In his time, the Frenchman Henri Poincaré was a mathematical luminary; his contributions to mathematics were (still are) massive; among dozens of formulations, he conjured up what is now known as the Poincaré Conjecture. Like all Millennium problems, this is all but humanly unsolvable and extremely prickly. This is why the Clay Mathematics Institute offered a million-dollar prize for the solution of any of the seven.

Perelman was the first person to solve any of the long-unsolved problems - the Poincaré conjecture was proposed in 1904. In 1996, it had been proved and verified that Perelman had marrowed out the conjecture; he was awarded the Fields Medal. However, Perelman declined the award and refused to appear at the International Congress of Mathematics to accept the medal. Several years before he was awarded the Clay Millennium Prize, he had given up mathematics, describing the subject as too painful to discuss. And again, like the Fields Medal, he rejected the Millennium Prize with its million-dollar premium, saying, 'I'm not interested in money or fame. I don't want to be on display like an animal in a zoo.' He believes cracking the theorem is enough reward.

What piques my fascination is how Perelman has reacted rather than his gargantuan algorithmic achievements. Well, crackpot and idiosyncratic, you might say. But we should not forget what had come from that crackpot mind in the first place. And despite the odds, Nigeria, or maybe Africa as a whole, needs a mathematical crackpot like Perelman rather than ex-mathematicians who have chosen a no less crackpot religious persuasion in which they see nothing wrong in praying for miracles or to the ‘unmoved mover,' to move cars. As I wrote earlier, someone like Mr Adeboye has all the right in the world to give up maths for the pulpit, but the effect of such personal abdications is part of the problems of Africa today, and we are yet to thoroughly examine where this sort of teleological drift would land us. Ours is a continent slumbering in the belly of the whale of time. I fear that it might be too late by the time Africa is disgorged; the continent might find itself islanded, arid and sterile, a metaphorical Jonah.

And there is a paradox to the connections I am trying to make. Perelman, the mathematician, worked his backside off, solved a thumping mathematical problem, and won a prize, but chose to live a hermitic life, spurning the million dollar gift, an attitude which mirrors the scriptural Jesus Christ than that of a man who gave up mathematics for charismatic Christianity and thought nothing of buying a billion naira aircraft. At the same time, several thousand members of his congregation might be unable to send their children to school for want of money or feed themselves squarely. This sort of parable is one of Nigeria's subtle tragedies. And when the final tally of the most influential people of this century or even millennium is made, I don't think it will be too hard to separate the grains from the chaff. No Nigerian ‘pastor' – not even Adeboye – has done anything worth celebrating in a high-minded, even humane, way. The likelihood is that these men and women would feature in lengthy footnotes when the story of the failed state once called Nigeria is written.