When he got the rejection saying he should prepare to leave, he was at first surprised, then angry.
'It's outrageous that they use statements like that, especially at a time like this,' he said.
Schwarzkopf was trying to obtain a small blue card emblazoned with the logo of Britain's Home Office and the words 'U.K. residence documentation' for European nationals.
Before last year's EU membership referendum, most people didn't even know the cards existed. Residents of EU nations can live and work across the bloc - no special visas or paperwork are needed for Europeans living in Britain.
That will change once Britain leaves the EU, after a two-year divorce process due to begin by March 31. But no one is sure exactly how.
Britain says it will end free movement and impose controls on EU immigration, but has given no details. Officials in both the U.K. and the EU say the 3 million EU citizens living in Britain - and the 1 million Britons who reside elsewhere in the bloc - should be allowed to stay. But there has not been a formal guarantee, or a decision on when the cutoff date for legal residence could be.
That leaves Europeans in Britain anxious, and gives the previously obscure residence cards new value as proof of immigrants' legal status.
The number of residence cards issued by the British government shot up sevenfold between the final quarter of 2015 and the same period in 2016. There were 240,000 applications in all of 2016 - a number that has stressed the civil service, which at the end of 2016 was working through 90,000 unprocessed applications.
Applicants have to fill out an 85-page form and supply reams of supporting documents including pay slips, bank statements and proofs of address.
Chris Jordan from Brighton in southern England weighed the material submitted by his German wife: It came to 1 kilogram (2.2 pounds).
More than a quarter of applicants are rejected, sometimes because of simple mistakes in filling out the form. Schwarzkopf was turned down because he had sent a copy of his German passport rather than the original.
Like him, other rejected applicants have been sent government letters telling them to prepare to leave the country they call home.
Schwarzkopf said the 'threatening' wording of the letters 'is just really irresponsible.'
Following complaints from Schwarzkopf and others, the Home Office says it has changed the wording of its refusal letters 'to make clear that nobody who has the legal right to remain in the country has to leave the country.' It also says it has simplified the application process.
It stressed in a statement that 'the rights of EU citizens remain unchanged while we are a member of the European Union.' It also said 'there is no requirement for any EU national to apply for documentation certifying permanent residency' to confirm that status. But that hasn't slowed the tide of applications.
Critics accuse the British government of acting with insensitivity - or even hostility - to long-time residents.
'The goalposts have been moved retrospectively,' Liberal Democrat politician Sarah Ludford said in the House of Lords earlier this month. 'People are being asked to document every movement in their lives.'
Some applicants have fallen foul of a requirement that people who are not employed or looking for work, such as students and full-time parents, must prove that that they had 'comprehensive sickness insurance' while living in Britain.
This has come as a shock to many, since Britain's National Health Service provides free care to all residents, paid for from taxation. EU countries also have agreements that guarantee citizens can get medical treatment in other member states.
Oxford University PhD student Dora-Olivia Vicol said she spent weeks trying to get a document from her homeland, Romania, to prove she had health coverage.
'I felt like I was going to fall through the cracks,' she said.
'I had to scramble for papers and trace back my steps and try to find my paper trail,' said Vicol, an anthropologist whose area of study is, ironically, migration. '[It was] like I had to authenticate myself and claim this right to be here.'
Vicol's application was successful. She knows people who have failed and are trying again with the help of immigration lawyers. But it's a lengthy and expensive process. Vicol says well-educated young professionals like her and her friends may have the resources, but many others will not.
Jonathan Portes, a professor of economics and public policy at Kings College London, said the system is 'a complete mess.'
'We've got a process - the permanent residence process - which clearly isn't capable of dealing with more than a few thousand people, let alone 3 million,' he said.
'So that process will have to be replaced, it will have to be streamlined. Everybody in government knows it - but we're still letting people apply for this, and then rejecting a third of them for stupid bureaucratic reasons. And of course the result has been ... that we're spreading uncertainty and confusion.'
In the meantime, some successful applicants are reconsidering whether they want to stay in Britain.
Schwarzkopf reapplied and was approved. But he has already started looking for academic posts abroad.
'These last few months have confirmed to me that I will be leaving,' he said. 'I don't know when, but I know it will be fairly soon.'