June 1, 2026 Bookmarks Perfectoid Spaces By Tarpley Hitt and Olivia Kan-Sperling Each month, we comb through dozens of soon-to-be-published books, for ideas and good writing for the Review’s site. Often we’re struck by particular paragraphs or sentences from the galleys that stack up on our desks and spill over onto our shelves. We sometimes share them with each other on Slack, and we thought, for a change, that we might share them with you. Here are some we found this month. —Tarpley Hitt, online editor, and Olivia Kan-Sperling, associate editor Kevin Hartnett’s The Proof in the Code: How a Truth Machine is Transforming Math and AI (Quanta Books) tells the story of Lean, a proof assistant program. Here, an extract from a series of work messages from an ebullient but erratic expert in “perfectoid spaces”: Kevin Buzzard: This is going to be so much fun Kevin Buzzard: Lean is made for this sort of stuff Kevin Buzzard: Mario, this is what real maths looks like … Kevin Buzzard: it is a million miles from anything that has ever been formalized Kevin Buzzard: and it will be easy to formalize Kevin Buzzard: Lean is a big puzzle game Kevin Buzzard: and we will be able to make some really cool levels for this game … Kevin Buzzard: the type is the level, the term is the solution Kevin Buzzard: All the old levels are boring Read More
May 29, 2026 Dispatch Love in a Fallen City: Shanghai’s Marriage Market By Becky Zhang The market, May 2015. Photograph by Reinhold Möller, via Wikimedia Commons. Licensed under CC BY-SA 4.0. On a low-pollution Sunday last December, the weekend before Christmas, I headed to People’s Park on Shanghai’s Nanjing Road to visit the city’s so-called marriage market: a cluster of footpaths and lawns in the park’s northwest corner, where hundreds of parents gather each weekend to matchmake their unmarried adult children. It was the winter solstice: a particularly auspicious occasion this year, as an aunt had written to our family’s thirty-one-person WeChat group—a day on which it was said that heaven and earth would reunite. It had rained that morning, so the air was damp and cool. I’d come here before as a child, glimpsing the idling marriage brokers—the “aunties” and “uncles”—as my parents and I crossed the park to the city center. Though I was now of marriageable age, I doubted I’d find a husband here, a city from which I felt largely estranged. I’d grown up in Hong Kong and visited family in Shanghai every year until moving abroad over a decade ago. The cultural differences alone between any potential Shanghainese suitors and me foreclosed the possibility, I figured, of a real bond. But perhaps there was something to learn from the stand-in courtship practiced here, so radically different from the flirting and swiping I was predisposed to. What were the right conditions under which to find a life partner? Long a romantic, I had lately come to learn that love might instead be something worked toward, an earned outcome rather than a projection sustained until its inevitable end. The idea of courting prospective in-laws before spouses therefore seemed reasonable. This market was pragmatic: it conceded that familial compatibility could only help a relationship. It was to the point, with no beating around the bush about your finances or genetic ailments. I’d always enjoyed meeting the parents of friends and boyfriends—particularly the Chinese ones, who often seemed like strange permutations of my own: religiously preoccupied with their kids’ well-being and success, offbeat and quaintly crude, their politesse at odds with an inborn urge to voice their sometimes inflammatory convictions. Like the rule-abiding child I’d been, I was known to succumb to the flattery of my Chinese elders, who softened at my xiaoshun deference and fluent Mandarin—I’d spent months on the mainland as a child. I caved to cajoling missionaries at the supermarket in New York’s Chinatown, to the Mandarin-speaking Bank of America employee who convinced me to sign up for another credit card when all I’d wanted was to update my address. I entered the park through a western gate, next to which a Starbucks played Mariah Carey and Willie Nelson. The market emerged suddenly: crops of middle-aged Chinese huddled around laminated advertisements that littered the ground or were clipped to trolley bags and music stands. The otherwise quiet grounds, within these few thousand square feet, were beginning to teem with brokers and visitors alike. Fleece-clad aunties lined the shrubbery; raincoated uncles smoked under the wutong trees. I slipped into the sparse flow of people that circled the gardens and moved through sheltered walkways. Read More
May 28, 2026 On Things Ode to the Kitchen Bath By Daniel Felsenthal Bill Costa, The Bath (Homage to Paul Cadmus), 1985. Courtesy of the Leslie-Lohman Museum of Art (2001.1134.0008). Bequest of Douglass Roby. Our bathtub was born in a sturdier, more brutal age. It’s a deep and oblong cauldron—perfect for cooking a human being—which stands in the center of our kitchen. Perched between the cheapo stove and the sink, the tub’s claw-feet are plantar flexed, as if they’re wearing high heels or pointe shoes, topped with swollen ankles and muscled calves. Time and use have abraded the inner porcelain. Only Bar Keeper’s Friend, a powder from the nineteenth century packaged in a retro canister (the plastic squeeze bottle just won’t cut it), keeps grime at bay. Read More
May 27, 2026 Conversations The Twenty-Year Novel: Harriet Clark on The Hill By Lidija Haas A gifted fiction writer who doesn’t publish must stand accused of genius or maladjustment (if we can distinguish those)—and Harriet Clark endured both during the twenty-plus years she spent refining her debut, The Hill. The work in progress, from which the Review eventually extracted a Plimpton Prize–winning short story in 2022, earned her several MacDowell residencies, fellowships from the Iowa Writers’ Workshop and Stanford University’s Wallace Stegner program, and a rare pitch of whispered literary envy and suspicion—amply justified, in the end, by the novel itself, which came out earlier this month. Clark described its slow, uncertain gestation over tea one Friday afternoon in May, in the sun-soaked attic study of the Bed-Stuy house she shares with her wife and son. Its striking premise draws on her early experience. During her infancy, her mother, Judith, a member of the Weather Underground and other radical organizations, was arrested, and later sentenced to life in prison for driving the getaway vehicle for an armed robbery, intended to fund revolutionary struggle, that went disastrously awry. (She was released on parole after nearly forty years in 2019.) Like her protagonist, Suzanna, Clark (whose father also spent years incarcerated in connection with his involvement in militant groups) was raised by her maternal grandparents, once prominent Communists; they apparently fostered and protected Clark’s intimacy with her mother against the best efforts of the state. Yet rather than some thinly veiled autobiography, the book is an eerie, dreamlike, funny, psychologically acute fable crossed with a nineteenth-century novel (unexpressed ardor, letters burned unread, train rides, consequences), a portrait of childhood to rival What Maisie Knew. Read More
May 22, 2026 On Books Barthelme, the Houstonian By Susan Choi Donald Barthelme, via Wikimedia Commons. Courtesy of Special Collections, University of Houston Libraries. Public domain. Barthelme was a Houstonian. To me this is the single most salient fact about him, though the competitors for that distinction are many: that he was a contemporary-art-museum director; that his childhood was spent riding in an open-top car through the undeveloped Texas prairie; that his friend and neighbor in New York City was Grace Paley; that his students called him Don B. and associated with him the powers of a mystic or shaman, if one prone to sarcasm. Barthelme was a genre unto himself, the rare writer who never wrote toward or against any previously recognized form but simply, somehow, took his own form, which is always instantly recognizable as its inept imitations are also instantly recognizable. All these qualities attest to his home city, at least for me, who shared the city with him for a while in the mid-eighties. Houston is a city of unexpected adjacencies. Because it has no zoning regulations, it has no zones. Instead, things are put places—a church, an ice house, some houses for living in, a place for strippers, a place to buy your fishing boat, a place to eat chilaquiles—in whatever way they happen to go, as if the city has said, collectively, Let’s not get too hung up on formalities, we’ve got enough room not to worry about it. Even now, Houston is a city like a prairie, its urbanity thin as a threadbare quilt tossed onto the grass, a playful indication of the urban. And this is also very Barthelme, this playing with category rather than dutifully seeking to conform, this ignoring of the very many conventions—of living, thinking, and certainly of writing—with which the rest of the world seems to unquestioningly preoccupy itself. Read More
May 21, 2026 On Poetry Building an AI Data Center in Pine Island, Minnesota By Thomas John Weber Pine Island, 2026. Photograph by Thomas John Weber. Pine Island, despite its name, is not an island. It’s your average Midwestern farm town, population 3,800. Highway 52 cuts through it like a spine, with little to see on either side except corn and billboards—unless it’s winter, in which case it’s just billboards. Most advertise burgers or death: McDonald’s (seven miles north), Newt’s Burgers (thirteen miles south), judgment day (“After You Die, You Will Meet God”), plus two competing southeast Minnesota cremation services. Only one billboard, on the south end, is locally relevant. It’s newer, smaller, and appears to be homemade. It reads: NO DATA CENTER. Read More