Jews From Russia

"At 04:00 on 22 February you'll feel [our new policy]. I'd like 2022 to be peaceful. But I love the truth, for 70 years I've said the truth. It won't be peaceful. It will be a year when Russia once again becomes great."

"There is no such thing as Russian fascism. You won't find a single Russian who considers Russians to be a superior race and who advocate expulsion of aliens."

"Ukraine is falling apart anyway. Poland should take the western part, Hungary should take the Carpathian Mountains, Romania should take Bukovina and Bessarabia. We'll take the whole of Novorossiya. Ukraine has no future."

"Minimal surfaces are of interest in various branches of mathematics. In the calculus of variations they appear as surfaces of least area, in differential geometry as surfaces of vanishing mean curvature. In gas dynamics the equation of minimal surfaces,"

"Bers' paper [15], in which he shows that a C-linear algebra isomorphism between the rings of holomorphic functions on two surfaces is induced by a conformal map between them, appeared in 1948 and started a whole industry. ..."

"The theory of analytic functions of a complex variable occupies a central place in analysis and it is not surprising that mathematical literature abounds in generalizations. In some generalizations one extends the domain of the functions considered, or their range, or both (functions of several complex variables, analytic functions with values in a vector space or an algebra, analytic functions of hyper-complex variables, analytic operators, etc.) If we restrict ourselves to functions from plane domains to plane domains, or, more generally, from Riemann surfaces to Riemann surfaces, we encounter two well known and very useful generalizations of analytic functions: interior functions and quasi-conformal functions. Interior functions ... have all topological properties of analytic functions and no others. As a matter of fact, they may be defined as functions which can be made analytic by a homeomorphism of the domain of definition. Quasi-conformal functions ... are interior functions subject to an additional metric condition. If the functions are assumed to be continuously differentiable mappings, this additional condition requires that infinitesimal circles be taken into infinitesimal ellipses of uniformly bounded eccentricity."

"The well known classical treatise by Krazer on the theory of θ functions contains several beautiful chapters dealing with the applications of this theory to algebraic geometry (in the largest sense of the word), but on the whole this treatise is more analytic than geometric in character. In it, page after page, swarms of complicated formulas and relations follow each other, rarely illuminated by a geometric interpretation. One can say, without fear of exaggeration, that all the geometric applications of this theory to algebraic curves and varieties made since Riemann and Weierstrass (Hurwitz, Poincaré, Schottky, Wirtinger, etc.) are absent in Krazer's treatise, or at most are only mentioned in short historical notes."

"The idea of topologizing an algebraic variety V by choosing as closed sets the algebraic subvarieties of V can be used with good effect in order to topologize the set M* of all homomorphic mappings of any abstract field A into another abstract field K. In this general case we are dealing essentially with a generalization of the concept of the Riemann manifold of a field of algebraic functions ..."

"The Italian geometers have erected, on somewhat shaky foundations, a stupendous edifice: the theory of algebraic surfaces. It is the main object of modern algebraic geometry to strengthen, preserve, and further embellish this edifice, while at the same time building up also the theory of algebraic varieties of higher dimension. The bitter complaint that Poincaré has directed, in his time, against the modern theory of functions of a real variable cannot be deservedly directed against modern algebraic geometry. We are not intent on proving that our fathers were wrong. On the contrary, our whole purpose is to prove that our fathers were right. ... In helping geometry, modern algebra is helping itself above all. We maintain that abstract algebraic geometry is one of the best things that happened to commutative algebra in a long time."

"One by one, Kara-Murza’s colleagues have been exiled, like Khodorkovsky. Or imprisoned. Or killed. Kara-Murza is determined to press on, however, believing that he has important work to do. And if people shrink from doing it, how will it get done?"

"Outspoken Kremlin critic Vladimir Kara-Murza will be a pallbearer for John McCain when the coffin of the late Republican senator is carried at Washington's National Cathedral... Kara-Murza's name was announced this week by the office of McCain, along with other details of his memorial services in Arizona, Washington, D.C., and Annapolis, Maryland. Kara-Murza joins a list of prominent U.S. dignitaries in the honor of carrying McCain's coffin..."

"No matter how powerful the forces against them, when people are prepared to stand up for what they believe, they succeed... [T]hat's the basis of my hope for the future of Russia."

"There can be nothing more pro-Russian than to bring much-needed accountability to those who violate the rights of Russian citizens and steal the money of Russian taxpayers — and continue to spend that money, buy real estate and park their families in the West. That is precisely what the Magnitsky legislation, now adopted in six Western countries, does, by prohibiting individuals responsible for human rights abuses and corruption from receiving visas or holding assets in their territories."

"The Magnitsky legislation is a pale substitute for justice. The penalty for torture, murder, wrongful imprisonment or grand corruption should not be canceled vacations in Miami Beach or on the Côte d’Azur but a real trial in a real court of law. One day, this will be possible in Russia. For now, it is not, and targeted sanctions from Western democracies serve as the only mechanism of accountability for corrupt Kremlin officials and human rights abusers. I will continue this work, as I know will many of my colleagues, regardless of any legislative novelties from the Russian government."

"Perhaps the most important requirement in an election is that voters have a choice. It sounds trivial, but that is something that has been lacking in most Russian elections held under Vladimir Putin’s rule."

"In the tightly controlled and airproof "vertical of power" that is Vladimir Putin's Russia, even a handful of dissenting voices in legislative institutions—especially when they are loud and persistent—can present a serious threat to the system. Such was the voice of the late Boris Nemtsov."

"There is hardly a practice of the Soviet repression of dissent that has not been revived by Vladimir Putin’s regime in Russia. A host of draconian new laws has criminalized public criticism of the government and of its actions — especially regarding the war on Ukraine. Political opposition is now officially equated with treason. Opponents of the Kremlin have been murdered, poisoned and imprisoned."

"Maybe the Jews interfered in the American elections, maybe the Jews control the world, maybe Jews slaughtered the Jews in Poland. For all those allegations, there is one origin: Jew-hatred"

"By the end of 2006 it was generally believed that Perelman’s proof was correct. That year, the journal Science named Perelman’s proof the “Breakthrough of the Year.” Like Smale and Freedman before him, the forty-year old Perelman was tapped to be a Fields Medals recipient for his contributions to the Poincaré conjecture (in fact, Thurston also received a Fields Medal for his work that indirectly led to the final proof). The countdown for the $1 million prize had begun (some wonder if Perelman and Hamilton will be offered the prize jointly)."

"Revolutions in mathematics are quiet affairs. No clashing armies and no guns. Brief news stories far from the front page. Unprepossessing. Just like the raw damp Monday afternoon of April 7, 2003, in Cambridge, Massachusetts. Young and old crowded the lecture theater at the Massachusetts Institute of Technology (MIT). They sat on the floor and in the aisles, and stood at the back. The speaker, Russian mathematician Grigory Perelman, wore a rumpled dark suit and sneakers, and paced while he was introduced."

"If the proof is correct then no other recognition is needed."

"There was something volcanic about Hambourg's style. With complete disdain for anything so prosaic as technical accuracy, he would pile sonority upon sonority. His records, and he made many, are often incredible. Through them, to be sure, one does get something of the vitality of the man and the excitement that he must have brought to music. But one also gets a profusion of wrong notes, text changes, even halting passages that would make his playing inexplicable today."

"Lefschetz made a brief trip to Rome, and I asked Severi what he thought of Lefschetz's work. È bravo,' Severi told me, meaning more or less 'he is talented.' The word bravo,' as far as I can tell, has no equivalent in other languages. 'He is no Poincaré,' Severi added. Poincaré was an eagle, un'aquila—and at this, he raised his hand high. Lefschetz was a sparrow, un passero,' and he lowered his hand halfway. But Lefschetz was talented, è bravo però, è bravo."

"I would read Lefschetz's book on analysis situs and algebraic geometry - the book about which Hodge used to say that all the important statements were true and all the others false."

"Solomon Lefschetz had a reputation for “kibitzing” during the lectures of colleagues; at perhaps the first public talk on computing that von Neumann ever gave, von Neumann said, halfway in, “Well, so far so good” — and Lefschetz added, “and so trivial.” (The students passed down an impious faculty song about their elders; the verse for Lefschetz ended, “When he’s at last beneath the sod, he’ll then begin to heckle God.”)"

"In its early phase (Abel, Riemann, Weierstrass), algebraic geometry was just a chapter in analytic function theory. ... A new current appeared however (1870) under the powerful influence of Max Noether who really put "geometry" and more "birational geometry" into algebraic geometry. In the classical mémoire of Brill-Noether (Math. Ann., 1874), the foundations of "geometry on an algebraic curve" were laid down centered upon the study of linear series cut out by linear systems of curves upon a fixed curve ƒ{x, y) = 0. This produced birational invariance (for example of the genus p) by essentially algebraic methods."

"It is quite obvious that he was strongly influenced by the similar problems in algebraic geometry, and in particular by the theory of correspondences, studied since the middle of the nineteenth century by Chasles and the school of “enumerative geometry” (de Jonquières, Zeuthen, Schubert), then by Hurwitz in the theory of Riemann surfaces, and which had been thoroughly investigated by Severi in the first years of the twentieth century; this influence explains the rather unusual frame within which Lefschetz developed his theory."

"The numerical relations existing between ordinary or so-called Plückerian singularities of a plane curve were determined as early as 1834 by P, but the inverse question has been left almost untouched. It may be stated thus: To show the existence of a curve having assigned Plückerian characters; and is equivalent to the determination of the maximum of cusps κM that a curve of order m and genus p may have. V ... has solved the question for rational curves."

"In the development of the theory of algebraic functions of one variable the introduction by Riemann of the surfaces that bear his name has played a well-known part. Owing to the partial failure of space intuition with the increase in dimensionality, the introduction of similar ideas into the field of algebraic functions of several variables has been of necessity slow. It was first done by Emile Picard, whose work along this line will remain a classic. A little later came the capital writings of Poincaré in which he laid down the foundations of Analysis Situs, thus providing the needed tools to obviate the failure of space intuition."

"It will be remembered that the positions on a Riemann surface are treated by Hensel, Landsberg, and Jung as arithmetical divisors. At bottom the associated symbolical operations are in no sense different from those that occur in connection with the Noether-Brill theory of groups of points, elements being merely multiplied instead of added."

"As is well known, when one endeavors to pass from one-dimensional birational geometry to the higher dimensions, the difficulties multiply enormously. Many results do not extend at all, or if they do, they are apt to assume a far more complicated aspect or else to demand most difficult proofs."

"It was my lot to plant the harpoon of algebraic topology into the body of the whale of algebraic geometry."

"I can recall one memorable afternoon at one of his recitals in the old St. James's Hall, when just as he had begun to play Chopin's Funeral March—no over ever played it like him—a post horn from a coach in Piccadilly suddenly sounded. This so disturbed him (and no wonder) that he took his hands off the piano and dashed them down again pell-mell on the keys in a fit of rage and disgust. After a while he commenced the piece again, but the spirit of the music had left him, and for that day at least we were deprived of the beauty of his rendering."

"I think that with the death of Schumann and Chopin—‘finis musicae'.'’"

"... He could, at will, move you to tears, thrill you with emotion, or make you shiver with excitement. It was no longer a piano he played on, but an entire orchestra, in which power, sweetness, and great execution vied with each other to produce effects totally unlike the efforts of any other single instrumentalist I have ever heard. ... The magnetism he exercised over his audiences was quite extraordinary, and I have seen them roused got such a pitch of excitement and enthusiasm that they could not sit still, but had perforce to rise from their seats to watch as well as listen to him. No one could help being absorbed in his performances; indeed, he was so himself, though perhaps not to the same extent, for any extraneous sound or movement would easily upset him and break the thread of his inspiration,"

"One thing that every late-stage ruling class has in common is a high tolerance for mediocrity. Standards decline, the edges fray, but nobody in charge seems to notice. They're happy in their sinecures and getting richer. In a culture like this, there's no penalty for being wrong. The talentless prosper, rising inexorably toward positions of greater power, and breaking things along the way. It happened to the Ottomans. Max Boot is living proof that it’s happening in America."

"Trump was running against more armed conflicts. ... Boot hated him. As Trump found himself accused of improper ties to Vladimir Putin, Boot agitated for more aggressive confrontation with Russia. Boot demanded larger weapons shipments to Ukraine. He called for effectively expelling Russia from the global financial system, a move that might be construed as an act of war against a nuclear-armed power. The stakes were high, but with signature aplomb Boot assured readers it was "hard to imagine" the Russian government would react badly to the provocation."

"Journalists are naturally skeptical of the U.S. intelligence, given the U.S. government's history making claims that did not pan out—most notoriously about the presence of weapons of mass destruction in Iraq, which was used to justify the U.S. invasion in 2003. But there is indeed a long history of Russia using so-called false-flag operations to justify aggression."

"Listed in one place, Boot's many calls for U.S.-led war around the world come off as a parody of mindless warlike noises, something you might write if you got mad at a country while drunk."

"Adversaries including the self-declared Islamic State and the Kremlin are free to spread lies and conspiracy theories, while the U.S. government generally feels compelled to hew to the truth in its public pronouncements (even as it often tries to conceal scandalous misconduct)."

"Carlson’s defenders point out that his conversations with Bubba the Love Sponge occurred years ago and not on Fox News. But he defended statutory rape — female teachers having sex with underage boys — as recently as a 2015 podcast. And on his Fox News show, Carlson regularly rages against immigration and diversity. In December, he said that immigration "makes our own country poorer and dirtier." White supremacists have become avid fans of Carlson; the white supremacist website Daily Stormer called him "literally our greatest ally.""

"It is high time for both advertisers and network bosses, from Rupert Murdoch on down, to search their souls about their complicity in injecting this poison into the body politic. Carlson has a right to say whatever he wants — but he doesn't have a right to say it on the most-watched cable channel in the country. He needs to go. Now."

"As media scramble to figure out Trump's evolving position on immigration, remember he cares *only* about feeding his ego. Policy irrelevant."

"Trump is an ignorant demagogue who traffics in racist and misogynistic slurs and crazy conspiracy theories. He champions protectionism and isolationism — the policies that brought us the Great Depression and World War II. He wants to undertake a police-state roundup of undocumented immigrants and to bar Muslims from coming to this country. He encourages his followers to assault protesters and threatens to sue or smear critics. He would abandon Japan and South Korea and break up the most successful alliance in history — . But he has kind words for tyrants such as Vladimir Putin. There has never been a major party nominee in U.S. history as unqualified for the presidency. The risk of Trump winning, however remote, represents the biggest national security threat that the United States faces today."

"What the heck is a neocon anyway in 2003? A friend of mine suggests it means the kind of right-winger a liberal wouldn't be embarrassed to have over for cocktails. That's as good a definition as any, since the term has clearly come unmoored from its original meaning. ... In social policy, it stands for a broad sympathy with a traditionalist agenda and a rejection of extreme libertarianism. Neocons have led the charge to combat some of the wilder excesses of academia and the arts. But there is hardly an laid down by Neocon Central. I, for one, am not eager to ban either abortion or cloning, two hot-button issues on the religious right. On economic matters, neocons--like pretty much all other Republicans, except for Mr. Buchanan and his five followers--embrace a laissez-faire line, though they are not as troubled by the size of the welfare state as libertarians are."

"Many Democrats took all this at face value and congratulated themselves for being smarter than the benighted Republicans. Here’s the thing, though: The Republican embrace of was, to a large extent, a put-on. At least until now."

"Catering to populist anger with proposals that are certain to fail is not a viable strategy for political success."

"There is no evidence that Republican leaders have been demonstrably dumber than their Democratic counterparts. During the Reagan years, the G.O.P. briefly became known as the "party of ideas," because it harvested so effectively the intellectual labor of conservative think tanks. ... In recent years, however, the Republicans' relationship to the realm of ideas has become more and more attenuated as talk-radio hosts and television personalities have taken over the role of defining the conservative movement that once belonged to thinkers."

"Trump is a fascist. And that's not a term I use loosely or often. But he's earned it."

"By their critisism of the existing system, which repeats the Social-Democratic critisism almost word for word, the Bolshevik opposition is preparing minds ... for the acceptance of the positive platform of Social-Democracy. ... Not only among the mass of the workers, but among communist workers as well, the opposition is rearing the shoots of ideas and sentiments which, if skillfully tended, may easily bear social-democratic fruit."