Archive for the Biographical Category

Where are all the LGBT astrophysicists?

Posted in Biographical, LGBTQ+, Science Politics with tags , , , , , on September 13, 2013 by telescoper

Having scoffed my lunchtime pasty in record time today, I seem to have a few spare minutes to spend writing a brief blog post on a question which popped into my mind when I accidentally discovered that somebody had recently written a blog post (about Einstein’s Blackboard) which mentions me. I used to look after this famous relic when I was in Nottingham many years ago, you see.

There’s a sentence in the post that says

Professor Coles is one of the few out gay astrophysicists in the UK.

Well, it all depends by what you mean by “few” but I think there are more gay (or lesbian or bisexual or transgendered) astrophysicists out there than most people probably think. I know quite a large number personally, dozens in fact, most of whom are “out”. It’s a safe bet that there are many more who aren’t open about their sexuality too. However, it is probably the case that LGBT scientists are much less visible as such through their work than colleagues in the arts or humanities. Read two research papers, one written by a straight astrophysicist and one by an LGBT astrophysicist, and I very much doubt you could tell which is which. Read two pieces of literary criticism, however, and it’s much more likely you could determine the sexual orientation of the writer.

There have been attempts to raise the profile of, e.g., LGBT astronomers through such initiatives as The Outlist, but only a very small fraction of the LGBT astronomers I know have their names on it. I’m not on it myself, although I used to be. It seems I’ve been struck off.

You might ask why it matters if an astrophysicist is straight or gay? Surely what is important is whether they are good at their job? I agree with that, actually. When it comes to career development, sexual orientation should be as irrelevant as race or gender. The problem is that the lack of visibility of LGBT scientists – and this doesn’t just apply to astrophysics, but across all science disciplines – could deter young people from choosing science as a career in the first place.

It has always annoyed me that the Independent newspaper’s annual “Pink List” of the UK’s most influential LGBT people never – and I mean never – has a single LGBT scientist on it, despite the immense amount they do not only in research, but also in teaching and outreach. It’s very sad that this work is largely unacknowledged and even sadder that a great many potential role models are hidden.

The effect of this invisibility is to reinforce the perception that science just isn’t something that LGBT people do. I have known gay students in physics or astrophysics who were on the verge of quitting because of this. I think it’s important for established scientists to be as open as possible about their sexual orientation to counter this. I really don’t think the consequences of coming out are as frightening as people think. This is not to say that homophobia doesn’t exist, but that straight colleagues are much more likely to be supportive than not and (with a few exceptions) most workplaces nowadays won’t tolerate discrimination or bullying based on sexual orientation.

But that brings us to the question of why we should care about whether LGBT students might be deterred from becoming scientists. This is much the same issue as to why we should worry that there are so few female physics students. The obvious answer is based on notions of fairness: we should do everything we can to ensure that people have equal opportunity to advance their career in whatever direction appeals to them. But I’m painfully aware that there are some people for whom arguments based on fairness simply don’t wash. For them there’s another argument that may work better. As scientists whose goal is – or should be – the advancement of knowledge, the message is that we should strive as hard as possible to recruit the brightest and most creative brains into our subject. That means ensuring that the pool from which we recruit is as large and as diverse as possible. The best student drawn from such a pool is likely to be better than the best student from a smaller and more restricted one.

Big companies haven’t become gay-friendly employers in recent years out of a sudden urge for altruism. They’ve done it because they know that they’d be discouraging many excellent employees from joining them. It’s exactly the same way for research.

At Sussex University we will soon be welcoming well over a hundred new students about to start their degree programmes in the Department of Physics & Astronomy. It’s a reasonable estimate than one in ten of these will be an LGBT student. The same will be true for many other departments around the country. So, regardless of your own orientation, if you’re reading this and you’re involved in teaching science just try not to assume, just because you’re talking to a science student, that you must be talking to a straight student. That shouldn’t be be too hard, should it?

On the Interpretation of Dreams

Posted in Biographical with tags , , , , on September 11, 2013 by telescoper

Last night I had a peculiar dream in which, for reasons obscure, I hijacked one of the dishes of the Ryle Telescope at the Mullard Radio Astronomy Observatory in Cambridge and drove it at high speed along a railway line all the way to Oxford (pursued by an ice cream van). To non-astronomers this probably sounds completely barking, but I should point out that the Mullard Radio Astronomy Observatory is located at the site of Lord’s Bridge, a former railway station on the (now defunct) line between Cambridge and Oxford and some of the telescope dishes move along sections of the old track. Of course the track no longer extends all the way to Oxford, and in any case there would be bridges under which one of the 13-metre antennae of the Ryle Telescope could not possibly pass. Such mundane considerations don’t matter in the world of dreams, however, and the whole escapade was like a madcap chase scene from a daft movie. I woke up chuckling.

I’m by no means an expert in the interpretation of dreams but on the occasions when I can remember what I’ve dreamt about it always seems to be a weird juxtaposition of things I’ve experienced in the recent past. In this particular case I recall reading an article about the possibility (now, I believe, shelved) that the Oxford-Cambridge railway might be reinstated. I’ve also been reading tweets and facebook messages from people currently at a radio-astronomy workshop in the Netherlands.

My interpretation of this sort of thing is that during a dream the sleeping brain is sifting through recent experiences and relating them to others, including recent events and things lodged in long-term memory. If I’m right, then this kind of dream is basically a by-product of the workings of a sort of subconscious filing system. Not sure how the ice cream van fits into this scheme though.

There are other kinds of dream, of course, and they don’t always fit into this pattern. In my experience the majority don’t make any sense at all, so I won’t say any more about that class. I don’t know how many people have regular recurrent dreams, but I do; these are of two types. The first is a standard “anxiety” dream. I could be sitting in an orchestra on the stage of a concert hall, or some similar situation. I have a musical instrument in my hands and am dressed for the part, like all the other musicians. It is shortly before the performance is due to start. The problem is that I don’t actually know how to play the instrument. Time is ticking away and I’m soon to be found out. How do I escape? I think it’s obvious that this dream is closely related to impostor syndrome.

The second type of recurrent dream is harder to fathom. I’ve moved around quite a lot during my career: starting in Sussex, then in London, Nottingham, Cardiff and then back to Sussex. In this kind of dream I’m supposed to be back in one of the places I used to live, but it’s curiously different from what it was like in reality. One example involved me being back in my old flat in Bethnal Green. Exploring the place I took a nice walk through the French windows and into the garden. Trouble is, the flat didn’t actually have French windows or a garden. How could it? It wasn’t even on the ground floor…

That kind of dream is quite disconcerting, especially since it’s recurrent. But I can give an example that’s even weirder. As regular readers of this blog – both of them – will know, I was unwell for a period last summer. During the worst of this episode I was confined for a while in a psychiatric clinic. I wasn’t there for very long (perhaps 3-4 days) but I didn’t really keep track of time very well and in retrospect it seems I was there much longer than that. I was also heavily sedated for a lot of the time I was there. The effect of this was to blur the distinction between sleeping and waking almost completely so I literally didn’t know whether I was conscious or unconscious.

Now I know for a fact that I didn’t have any visitors when I was in that place. However, I have perfect recollection of a time when a young man (a former student of mine of Cardiff University) came into my room, sat down beside my bed and opened a discussion about physics, his plans for doing a PhD in Early Universe Cosmology, and various other topics to do with books and films. Looking back on this I realize that the conversation I’d imagined was actually a kind of synthesis of bits of other conversations I’d previously had with the same person in a different environment (i.e. my old office in Cardiff University). The peculiarity is that I now remember that imagined pastiche of a conversation as if it were actually real, and it has always been difficult for me to convince myself that it didn’t happen. It’s almost as if the filing system had gone into reverse, pulling old memories out of their drawers and sticking them back in my consciousness.

Related to this (possibly) are various memories I have of very early childhood. These are often very vivid, but in many cases completely at odds with facts that I’ve subsequently established. I think what has happened in such examples is that I haven’t actually remembered the event in question, but have been told things about it so frequently that a memory has somehow been constructed to accommodate the narrative.

Over a year on I still find the clinic episode quite scary to think about. I think that’s mostly because it’s an extreme example of how one’s perception of what is real and remembered versus what is imaginary and dreamt can get confused. Am I really writing this? Or am I dreaming? Are you really reading it? Are you dreaming? Wake-up!

Widening Participation – Outreach versus Bursaries

Posted in Biographical, Education, Finance with tags , , , , , on September 5, 2013 by telescoper

This morning I came across a University of Sussex News Item which explains that Sussex has made the shortlist, published today (Thursday 5 September), for Widening Participation or Outreach Initiative of the Year in the Times Higher Education Awards 2013.  This piece reminded me of a discussion I had a while ago about the whole approach to widening participation in University education, an issue made all the more serious by the introduction of £9K a year tuition fees. In particular

The University has increased spending on widening participation activities to £8.1 million a year, with over half of this spent on the innovative First Generation Scholars scheme, which supports students who are from low-income backgrounds or who are the first in their family to go to university.

Before commenting on this in any detail I should put my cards on the table. When I went to University in 1982 I was the first in my family ever to go to university. I’m also, at least as far as my immediate family goes, the last. However, in those days there was no need for a First Generation Scholars scheme: there were no tuition fees and, because I don’t come from a wealthy background, I qualified for a full maintenance grant. Life (in Cambridge) as an undergraduate student was fairly comfortable.

Times have changed a lot. Many more people go to university nowadays, but the price is that support for those who don’t have access to family funds is now spread very thinly.  There are no full maintenance grants, and the fees are very high. Looking back, though, I don’t think it would have been the tuition fees that might have deterred me from going to university. After all, they don’t have to be paid back until after graduation, and when one’s income exceeds a certain level. What would have made a difference would have been the withdrawal of maintenance. Without the grant, I simply wouldn’t have been able to study without getting a job. Apart from the amount of work involved in doing my degree, the recession of the early 1980s meant that jobs were very hard to come by.

To get back to the news item I mentioned earlier, I have always thought there is a tricky calculation to be made when it comes to designing programmes intended to encourage students from as wide a range of backgrounds as possible to come to university, whether that be to do with socio-economic considerations, gender, ethnicity, age or anything else. The question is whether pumping money into bursaries is actually effective. I can imagine that a large bursary, perhaps equivalent in money terms to the old maintenance grant, would genuinely influence the decision of a prospective student, but if the pot is shared out among very many people the resulting bursaries are fairly modest. How much does a bursary have to be to make a difference? Answers on a postcard.

The other side of the debate is what the balance should be between bursaries and outreach. In a subject like Physics one of the principal obstacles faced by pupils from the state sector is the dire shortage of physics teachers as well as the lack of laboratory facilities in schools. Here in the Department of Physics & Astronomy at Sussex we have a very large (and growing) outreach programme which includes giving kids from local schools the chance to come into our building and do specially designed experiments in a laboratory set aside for the purpose.  This kind of activity is intended to get those of school age thinking about doing Physics or Astronomy, which they might not otherwise do.

I don’t see bursaries and outreach as mutually exclusive approaches to  the goal of widening participation. It’s more a question of the balance. How do we decide how to allocate resources? Is there research on the effectiveness of different programmes?

As always, comments are welcome via the box below!

 

Black Hole Firewalls, etc.

Posted in Biographical, The Universe and Stuff with tags , , on September 2, 2013 by telescoper

Well, just back to the office after taking a restful weekend in Cardiff to recover from the trials and tribulations of the meeting of the Astronomy Grants Panel of the Science and Technology Facilities Council in Swindon last week. I’ve got a lot to catch up on, so I’ll just post this video which explains all about the issue of Black Hole Paywalls Fire Sales Firewalls about which there’s a not inconsiderable to-do and hoo-ha going on in the world of Physics. Pity they couldn’t put a firewall around Swindon, that’s all I can say…

Good Morning Swindon

Posted in Biographical, Science Politics with tags , , on August 28, 2013 by telescoper

So here I am again, in the picturesque town of Swindon (Wilts) for the three-day festival of fun and frivolity that is the Astronomy Grants Panel. I probably won’t get much time to blog, so I thought I’d post a photograph of the idyllic view from my hotel window, in case any of you think I’m here enjoying myself…

 

Against Anonymity

Posted in Biographical with tags , , , on August 24, 2013 by telescoper

There’s been quite a lot of reaction on the interwebs about a recent decision by the Huffington Post to block anonymous comments in an attempt to prevent abusive behaviour, which is a serious problem on many websites. Many argue that this won’t stop trolls from trolling, which is of course true. What it might do is make some people think twice before they post a comment. It might also allow appropriate (possibly legal) action to follow up more extreme examples.

My own feelings about this are quite complicated actually. I don’t really care about randomly abusive comments from anonymous lowlife. I’ve learned to ignore such things, except when the abuse appears that it might come from, say, someone in your workplace. Some time ago something like that happened to me and I found it so distressing to think that a colleague or student might be behind it. That’s even worse than when somebody does such things brazenly under their own identity.

The Huffington Post’s policy is just one illustration of a wide issue,, namely to what extent one has a right to anonymity. I’m not at all sure what the law says on this or what it should say, in fact, especially when it comes to the internet.

In Britain we don’t have identity cards (not yet anyway), so there’s a sort of de facto right to anonymity there. However, with the increasing levels of surveillance and state intrusion into people’s lives, that is changing. The  issue generated by the Huffington Post, however, is how the right to anonymity extends into the blogosphere (or the internet generally) rather than how it applies in other spheres of life.

Some blogs I know are anonymous but I happen also to know who writes them. I presume the authors have reasons for wishing to conceal their identities so I wouldn’t dream of revealing them myself. However, these are all sites run by reasonably civilised people and it’s very unlikely that any of them would use their anonymity to engage in abusive or defamatory activities. If one of them did, I wouldn’t have any qualms at all about exposing their identity, but I’m not sure whether that would be a legally acceptable course of action.

But anonymity still makes me a  bit uncomfortable. In academic life we come across it in the context of refereeing grant applications and papers submitted to journals for consideration. Usually the default is for referees to remain anonymous is such situations. Most referees are fairly conscientious and if they have criticisms they are usually presented politely and constructively. There are, however, some exceptions. Fortunately these are few and far between, but there are some individuals who take the opportunity provided by anonymity to be downright abusive. Us old hands have sufficiently thick skins to brush such attacks off, but vitriolic comments made on papers written by inexperienced scientists (perhaps even research students) are completely out of order. This probably wouldn’t happen if referees didn’t have the right to remain anonymous. On the other hand, having your identity known might make it difficult for some  to write critically of, say, the work of more senior scientists. Perhaps the answer is to retain anonymity but for the journal editor, for instance, to monitor the reports produced by referees and reprimand any who transgress.

Going back to the subject of blogs, provides me with an opportunity to describe some of the behind-the-scenes issues with running this blog. In the beginning I decided to have an open comment policy so that anyone and everyone could comment without any form of intervention. That turned out to be a disaster because of the number of automatically generated  SPAM comments that clogged up the boxes. I therefore switched on a SPAM filter so it could veto obvious garbage, but otherwise kept an open policy. The alternatives offered by WordPress include one that requires all comments to be from people registered at the site (which I thought would probably be a deterrent to people only wanting to comment on the odd post). Another option is to maintain a blacklist which treats all messages from persons on the list as SPAM. It’s also possible to block all comments entirely, of course, but I enjoy reading most of them so I think it would be a shame to do that just because of a few breaches of netiquette.

All went fairly well and I only had to ban a couple of individuals for abuse. I did for a time receive a stream of crudely abusive comments (of a personal nature) from various anonymous sources. These were mostly depressingly puerile and they didn’t affect me much but I did find it very disconcerting to think that there are people sitting out there with nothing better to do.

Since WordPress notifies me every time a  comment is posted, it is quite easy to remove this junk but I found it very tiresome (when there were several per day) and eventually decided to change my policy and automatically block comments from all anonymous sources. Since this requires a manual check into whether the identity information given with the comment is bona fide, comments from people who haven’t commented on this blog before may take a little while to get approved.

There are still comments on here which may appear to a reader anonymous (or with a pseudonym) on here, but these are from people who have identified themselves to me with a proper email address or who the software has identified through their IP address or information revealed by their web browser (which is probably more than you think…). I’m happy for people to comment without requiring they release their name to the world, and will do my best to ensure their confidentiality, but I’m not happy to publish comments from people whose identity I don’t know.

If you’re interested, as of today approximately 17500 comments have been published on this blog. The number rejected as SPAM or abuse is about 350,000 (many of them from a Mrs Trellis of North Wales). That means that only about one comment in twenty is accepted.

Am I denying freedom of speech by rejecting anonymous comments? I don’t think so. If you want freedom of speech that much, you can write your own blog (anonymous or otherwise). And if every sight of this blog makes you want to write abusive comments, perhaps you should exercise your freedom not to read it.

I’d be interested to know from any fellow bloggers if they have the same problems with abusive comments. If not, perhaps I should start taking it personally!

More generally, I will not accept anonymous comments on the subject of the anonymity of comments, but any other contributions are welcome via the box.

Unless you’re banned.

Trivial Hirsute

Posted in Beards, Biographical with tags , , , , on August 18, 2013 by telescoper

There’s been a lot going on in the world of beards recently. There’s the  Daily Fail story about how “hipster beards” are threatening the razor industry.  I don’t think it will be long before they run a story about the effect of facial hair on house prices. Then of course there’s the fuss about Jeremy Paxman’s appearance on Newsnight with a beard, which unleashed a storm of pogonophobia. Looking on the bright side, this served to generate some very positive publicity for the Beard Liberation Front, regular updated from which you can find on Keith Flett’s Blog.

Of course the Beard Liberation Front is essentially light-hearted in nature, but it does underline some rather serious points about the society we live in. First, is the obvious one. With so much terrible news going on in the world, who cares whether the presenter has a beard or not? In other words, it’s symptomatic of the superficiality of our celebrity-obsessed culture.

But there’s more than that. On the rare occasions I’ve been involved in media work I overheard many conversations about how such-and-such a scientist was no go for television because he had a beard. Why should that be? I think part of the answer can be found in Howard Jacobson’s piece in Saturday’s Independent: in that beards generally make their wearers look older. Nowadays, that, by definition ,means “unsuitable for TV”. You may have wisdom and gravitas, but if you don’t look like you belong in a boy band you’re just a beardy-weirdy and therefore out of contention.

Incidentally, I was of course clean-shaven when I had a few brief encounters with television, but my big chance for fame and fortune lapsed when I did a screen-test for the BBC, only to be told that I “lacked gravitas”. I doubt if a beard would have helped.

Back to my point.  I think I’ve established that bPogonophobia clearly has a significant overlap with ageism. Moreover, because it’s about jumping to conclusions about people based on their appearance  it also overlaps with racial prejudice. Men with beards are of not of course a persecuted minority, which is why the Beard Liberation Front can afford to engage in so much humorous self-parody, but it still succeeds in holding up a mirror to other, more sinister, forms of discrimination.

As for myself, I have no aspiration to become a hipster. I am far too old for that anyway. But I have always hated the chore of shaving in the mornings (and again later if I have to go out in the evening). I have frequently gone as far as growing a goatee beard, only to get rid of it because I didn’t like it much. The first time I grew a full beard was last summer. It wasn’t planned, but a consequence of a fairly long period of ill-health during a large part of which, for various reasons, I was unable to shave. When I began to recover, I shaved off the growth not so much because I disliked the beard in itself, but because it was an unwelcome reminder of what I’d been through. I wanted a fresh start. Having avoided any major recurrence this summer, I decided to have a go at growing a full beard again and am quite pleased with the result. At least it’s more convincing than Paxman’s.

Although not as grey, it has turned out rather similar in style to that of Ernest Hemingway as he is seen in this famous photograph by Yousuf Karsh:

yousufKarsh-ErnstHemingway-large

I have to admit, though, that the opinions of others are mixed. The best comment I got was from a work colleague who said that she liked my beard very much, only to add, with immaculate timing, “because it covers half of your face”. I guess I’ll just have to hope that Beard Power eventually carries me through to wider acceptance.

PS. For the physicists among my readers here is an old post of mine about the role of beards in the development of thermodynamics.

The Expanding University

Posted in Biographical, Education, The Universe and Stuff with tags , , , on August 10, 2013 by telescoper

Well, I’m a bit busy today – despite the fact that it’s a weekend – so I’m just going to take the opportunity post here  a news item from my employer which has already been posted on the University of Sussex website. 

–o–

The School of Mathematical and Physical Sciences (MPS) will have 63 academics at the start of the 2013-14 academic year – an increase of 58 per cent from February, when only 40 were in post.

The expansion follows a very successful few years for the School, during which the number of students starting degrees in Physics and Astronomy at Sussex has grown almost threefold.

The department has also climbed to 5th in The Times Good University Guide 2013 and Mathematics was ranked in the top 10 for academic support in the 2012 National Student Survey (NSS).

From September, Physics and Astronomy will have 40 academics, up from 25 in February. There are 12 new posts as well as three replacements, including the arrival in February of Professor Peter Coles, who replaced the late Professor David Axon as Head of School.

Mathematics is increasing from 15 academics to 23, with five of these arrivals being new positions. In particular, three new professors will join the Department this year.

Professor Coles says that overseeing this expansion has been his main focus since returning to Sussex. He says: “When I arrived, plans were already under way to get new people in and I knew this had to be my priority in my first few months as Head of MPS.

“We had an incredibly high calibre of applicants for all the posts and, in many cases, have been able to appoint more than one person. For one of the posts in Astronomy, the shortlist was so strong that we have actually appointed four excellent academics in that area. We couldn’t miss that opportunity.

“Our three  new chairs in Mathematics are joining us from Denmark, Greece and Italy, bolstering the School’s international outlook.

“We have been strategic in our appointments to encourage growth into new areas for us, such as probability and stochastic modelling on the Mathematics side, and materials-based experimental research on the Physics side. We anticipate further strategic expansion in these areas in the near future.

“These appointments also represent a step towards more interdisciplinarity and better crossover between the two departments within the School, and indeed with other schools such as Life Sciences, developing still further the University’s traditional strength in interdisciplinary research.

“And, most importantly of all, students in MPS will benefit from more study choices and smaller class sizes.”

A Sussex Alumna

Posted in Biographical, Television, The Universe and Stuff with tags , , , , on August 9, 2013 by telescoper

I had a very nice meeting this morning with Sir Harry Kroto, who is back in the UK for the summer. We chatted about a number of exciting things going on at Sussex University and beyond, in the middle of which I remembered a film featuring my former  PhD Student from Nottingham days, Emma King. The film was part of a series about young scientists made by the Vega Science Trust (which Harry set up) and it was originally broadcast on BBC 2 as part of The Learning Zone.

Emma is a graduate of the Department of Physics & Astronomy at Sussex University. As an undergraduate at the University of Sussex she made history when she became the first woman to win the top prize at the Science, Engineering and Technology Student of the Year award despite tests at school which showed that Emma was not only slightly dyslexic, but that also had very poor arithmetic skills and she says “a nearly non-existent visual memory.” None of that stopped her completing her PhD thesis (on magnetic fields in cosmology) in 2006.

p.s. After completing her PhD, Emma changed career and now runs this outdoor event venue.

An Integral Appendix

Posted in Biographical, Cute Problems, The Universe and Stuff with tags , , , , , , on August 7, 2013 by telescoper

After the conference dinner at the Ripples in the Cosmos meeting in Durham I attended recently, a group of us adjourned to the Castle bar for a drink or several. I ended up chatting to one of the locals, Richard Bower, mainly on the subject of beards. I suppose you could call it a chinwag. Only later on did  we get onto the subject of a paper we had both worked on a while ago. It was with some alarm that I later realized that the paper concerned was actually published twenty years ago. Sigh. Where did all that time go?

Anyway, Richard and I both remembered having a great time working on that paper which turned out to be a nice one, although it didn’t exactly set the world on fire in terms of citations. This paper was written before the standard “concordance” (LCDM) cosmology was firmly established and theorists were groping around for ways of reconciling observations of the CMB from the COBE satellite with large-scale structure in the galaxy distribution as well as the properties of individual galaxies. The (then) standard model (CDM with no Lambda) struggled to satisfy the observational constraints, so in typical theorists fashion we tried to think of a way to rescue it. The idea we came up with was “cooperative galaxy formation”, as explained in the abstract:

We consider a model in which galaxy formation occurs at high peaks of the mass density field, as in the standard picture for biased galaxy formation, but is further enhanced by the presence of nearby galaxies. This modification is accomplished by assuming the threshold for galaxy formation to be modulated by large-scale density fluctuations rather than to be spatially invariant. We show that even a weak modulation can produce significant large-scale clustering. In a universe dominated by cold dark matter, a 2 percent – 3 percent modulation on a scale exceeding 10/h Mpc produces enough additional clustering to fit the angular correlation function of the APM galaxy survey. We discuss several astrophysical mechanisms for which there are observational indications that cooperative effects could occur on the scale required.

I have to say that Richard did most of the actual work on this paper, though all four authors did spend a lot of time discussing whether the idea was viable in principle and, if so, how we should implement it mathematically. In the end, my contribution was pretty much limited to the Appendix, which you can click to make it larger if you’re interested.

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As is often the case in work of this kind, everything boiled down to evaluating numerically a rather nasty integral. Coincidentally, I’d come across a similar problem in a totally different context a few years previously when I was working on my thesis and therefore just happened to know the neat trick described in the paper.

Two things struck me looking back on this after being reminded of it over that beer. One is that a typical modern laptop is powerful enough to evaluate the original integral without undue difficulty, so if this paper had been written nowadays we wouldn’t have bothered trying anything clever; my Appendix would probably not have been written. The other thing is that I sometimes hear colleagues bemoaning physics students’ lack of mathematical “problem-solving” ability, claiming that if students haven’t seen the problem before they don’t know what to do. The problem with that complaint is that it ignores the fact that many problems are the same as things you’ve solved before, if only you look at them in the right way. Problem solving is never going to be entirely about “pattern-matching” – some imagination and/or initiative is going to required sometimes- but you’d be surprised how many apparently intractable problems can be teased into a form to which standard methods can be applied. Don’t take this advice too far, though. There’s an old saying that goes “To a man who’s only got a hammer, everything looks like a nail”. But the first rule for solving “unseen” problems has to be to check whether you might in fact already have seen them…