Image caption The University of Toronto is using Donald Trump and Brexit to attract international students to Canada

"Let's put it this way, we're interested in breaking down walls and not building them," says Meric Gertler, president of the University of Toronto.

The head of Canada's top-ranked university has been in the UK on a recruitment drive, trying to scoop up international students.

And he makes no secret of why his country has had such a bumper crop for the past couple of years - poaching students who might previously have gone to the US or the UK.

It's been a combination of "the election of Donald Trump and the advent of Brexit", he says, which has seen two consecutive 20% increases in international students.

'Political turbulence'

The University of Toronto is pitching itself as an open, global, liberal institution, in contrast to what Prof Gertler calls the "political turbulence" elsewhere.

Image copyright Getty Images Image caption A snowball fight on the university campus

As an example, he says Toronto has attracted Indian students who might have previously gone to UK universities and Mexican students who would have gone to the US.

Canada has seen the number of international students more than double since 2010, to about 500,000, worth about £4.7bn to the country's economy.

There has been particular growth from countries such as Vietnam and Iran, along with the biggest senders such as China, India and South Korea.

High fees

The message to students is that Toronto is an outward looking, cosmopolitan city, with high levels of migration, where they will be welcome.

In contrast, Prof Gertler says, Brexit could give a negative impression to overseas students.

Image copyright Getty Images Image caption Protests in Toronto last month over changes to tuition fees

"Brexit will make students think, 'Does the country still have the same kind of opportunity it's been famous for?'" he says.

But Toronto is no longer a cheap option.

International students can now pay £30,000 per year, after fees were raised - paradoxically, to attract more students.

"It's so high because we learned that we presented a conundrum in the marketplace," Prof Gertler says.

It's a result of the strange status-driven market in higher education, where affordability gets mistaken for low quality, he says.

The university might have been in the top 30 in the world but its previously low fees appeared to be putting off international students.

Image copyright Getty Images Image caption Canadian citizenship ceremony: About half of international students aim for permanent residency

"We were a very highly ranked university - and yet we were so inexpensive, Prof Gertler says.

"In the international market place, people had a hard time reconciling those two facts.

"So when we increased price, we found demand went up - as did the quality of the applications."

Immigration encouraged

In the UK, there has been a concern that people will use a student visa as a backdoor way of coming to live and work in the country.

Image copyright Getty Images Image caption Canada is fourth most popular destination in the world for overseas students

But, Prof Gertler says, for Canadian universities, that's positively encouraged.

When overseas students graduate, they can get work and apply to stay, looked on favourably as the type of skilled migrants that the country wants to attract.

About half of the international students coming to Canada seek permanent residency, the Canadian Bureau for International Education says.

That might be the difference between a big country with a small population and a small country with a big population but it puts Canada at a competitive advantage when recruiting international students.

'Bastions for the privileged'

But if the University of Toronto is pitching itself as an example of internationalist, liberal values in action, these are also values some consider out of touch and elitist.

Prof Gertler says the "biggest crisis" for such top universities is about access to places, which feeds into a sense of isolation and lack of support from the wider community.

Image caption Half of Toronto's population was born outside Canada

"They are increasingly bastions for the privileged rather than portals of opportunity for the many," he says.

"I think that's an existential challenge for the future of universities.

"If we can't solve that challenge, we're in for an increasingly rough ride."

Prof Gertler says that for his university, not having interviews but basing admission on exam grades and written statements has helped to make it less socially exclusive.

"Much of the unconscious bias is from an interview process," he says.

Image caption Meric Gertler says it is an "existential challenge" for universities if they are seen as promoting privilege not opportunity

But if universities want to keep public support, they need to be seen as places of opportunity and social mobility.

"The combination of academic excellence and openness of access and diversity is becoming increasingly rare," Prof Gertler says.

"Many of the challenges we have faced in recent years stem from the increasingly strong perception that we're becoming less accessible and more elite."

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The editor of Global education is Sean Coughlan (sean.coughlan@bbc.co.uk).