Given the prominence of the nearly empty buildings, at a time of austerity in Spain, Calatrava has become an easy target; he is blamed for bankrupting the local government, the subject of front-page articles around the world. And when he speaks (as he did with me last year), he tends to make things worse, describing his 90-million-Euro fee for designing the Valencia complex as “very modest” and the charges against him as “a political maneuver by the communists.”

In fact, the costs are outrageous, and the technical problems (like a tiled roof that has been dripping tiles), inexcusable. But despite all that, I find the buildings thrilling. Walking around the Cite, I wanted to see every one of them from every angle. The organic, almost skeletal forms, in many cases reach skyward like the vaults of Gothic cathedrals, but streamlined and rendered in the whitest white, are awe-inspiring. My head tells me one thing, but my heart tells me another.

Over the years, I have visited dozens of Calatrava buildings, from a bridge in Calgary to an opera house in Tenerife, and they have affected me the way Hoover Dam, the Golden Gate Bridge, and the TWA Terminal at JFK have affected me: Each is a utilitarian structure raised to the level of art. There’s a reason Herbert Muschamp, the late New York Times architecture critic, hailed Calatrava as our “leading poet of transportation architecture.” Poet! True, Calatrava’s work has precedents. Among those he has quoted are the Swiss bridge designer Robert Maillart; the American architect Eero Saarinen; the Japanese-American architect Minoru Yamasaki; the Spanish architect Antonio Gaudi (whose experiments in structure are almost exact precursors of Calatrava’s); and the Italian polymath Pier Luigi Nervi. (He is also known for recycling his own designs.)

Meanwhile, among engineers, the consensus is that Calatrava’s structures aren’t “elegant” because they use more steel and concrete (sometimes far more) than is necessary. That’s surely true, but what if his steel and concrete provide not just support, but inspiration?

I’m not an apologist for Calatrava, with his leaky roofs, projectile-tiles, and tendency to bankrupt clients; in fact, I have been one of his harshest critics. Buildings need to work, and—if the public is paying for them—need to come in on, or close to, budget. He responds to complaints about the Valencia overruns with astonishing arrogance. “They are not attacking the Alhambra in Granada,” he told me of his critics. They are not attacking the cathedral in Santiago de Compostela. They are not attacking the Prado in Madrid.” But, bad as it sounds, he has a point: No one thinks now about the costs of the Prado or the Alhambra, or even of 20th century buildings that have captured the public’s imagination.

Calatrava’s PATH station at the World Trade Center is now budgeted at some $4 billion, or about $70,000 for each of its expected daily riders. The Port Authority of New York and New Jersey is struggling to pay the bills, which is one reason the tolls at Hudson River crossings have skyrocketed (prompting the American Automobile Association to sue the Port Authority, claiming illegal diversion of funds to non-transportation uses). As a taxpayer, and occasional toll payer, I am outraged.

But when I visited the site a few months ago, I forgot about those things. The centerpiece of the station is a giant oval, 320 feet long and 100 feet wide, topped by a pair of glass-and-steel wings reaching 160 feet into the sky. I was transported back to Valencia, to Tenerife, and most of all to Milwaukee. There, Calatrava’s addition to the Milwaukee Art Museum went about 300 percent over budget, and was delayed by highly-publicized construction problems. But on a sunny day, there is no more glorious place to be than in Calatrava’s room overlooking Lake Michigan, the Quadracci Pavilion, with its movable wings—and try finding a Milwaukeean who doesn’t think so. New Yorkers deserve no less.

True, there are a couple of reasons the station may not provide that thrill Calatrava intended. First, fire codes required that the steel be covered in an intumescent coating, a kind of paint that expands in response to heat, insulating and emitting moisture. But the coating gives a cottage-cheesy appearance to much of the structure. 

And for safety reasons, the steel ribs of the oculus are thicker than in Calatrava’s original design—so much so that the ribs largely obscure views through the glass panes. The feeling of being in a space open to the sky is diminished.

And yet, despite all its problems, I am betting that the PATH Station, scheduled to debut in 2015, will become a symbol of Lower Manhattan, rivaling the Statue of Liberty and eclipsing the ungainly Freedom Tower. New Yorkers who can’t get to Milwaukee, much less Valencia or Tenerife, will get a chance to see how electrifying Calatrava’s work can be. There are lots of good reasons to criticize the architect. It’s the architecture I’m rooting for.