Princeton University Faculty

"Oh, the stories—those are an amalgam. I don’t think she would’ve defined herself like that, but my mother was a great storyteller. She always held me captive. She smoked Lucky Strike cigarettes, and she’d always say, “Adrienne, I wanna tell you something.” She is just all over my whole writing career. And my father, because he gave speeches. Really, everything I write is a kind of mixture of his speeches, and her telling me all these stories about Georgia."

"I've always been compelled by the notions of context and individuality. This interest has been expressed in different ways across my books, but I think I've been consistently fascinated the question of persons who find themselves in a context that either fits too well or doesn't fit at all, by persons who feel they exist simultaneously inside and outside of a cultural or political space. It’s no surprise that as an immigrant I've always been extra conscious of this interplay."

"Even though I went to Exeter and Yale, and I enjoyed all the trappings of those places, I think at the same time – and maybe it's because I'm an immigrant kid and not white – there was always this other consciousness; that is, I was conscious of everything that was going on. And I was observing. Some people just ARE, because the temperature of the water is exactly the temperature of their body…But my temperature is always off, a little bit. And I have to note it. And I always did, from a very young age. I don't know if that's my character or upbringing or both."

"Almost all of western literature is about talk…There's this great line in Beckett: keep talking, you're winning. And somehow I wanted to subvert that; the need to constantly express and put your verbal and psychological stamp on everything…You don't always have to talk."

"One of the things that's so frustrating about it is that people who are Asian-American and who are non Asian-American assume that sometimes. And I think sometimes the implication is that “Oh, you really didn't have to create that, that was just something that you recounted.” You know, that recounted stories are much more easy and simple to write than stuff that's completely made up. And I think that's one of the things that sometimes, particularly ethnic American writers face because they write about people who look like them and then people automatically assume that it's people who are them or someone in their family…"

"Well the voices, for me especially in first person story-telling, the voice is of primary importance. And the voice reflects and articulates that particular character and what that particular character is interested in and troubled by, and so the voices are different because the people are different. It seems to be an obvious thing to say but it has to be said…"

"I grew up in an Asian American family on the East Coast. I have a whole network of friends there. But the West Coast is definitely more Asian American-inflected. Personally, culturally, artistically, there’s a draw here that’s different than on the East Coast. There’s a whole new added layer here that I enjoy."

"I think back to particular librarians when I was in elementary and middle school. My parents were immigrants, and my mother didn’t really speak English. Basically, I was raised in the library. Those librarians and a few teachers in high school and college and even graduate school gave me not just knowledge but also encouragement and, sometimes, a reality check."

"Happer, who worked at the Energy Department under George H.W. Bush and joined the White House in September to work on “emerging technologies,” is not formally trained as a climate scientist."

"It’s important to note the person behind this attempt to chill our defense agencies from understanding and managing climate risk is Dr. Will Happer. Dr. Happer testified before Congress in December 2015 that the world has too little Carbon Dioxide and is too cold – an extreme, fringe view even for the tiny number of scientists who call themselves climate skeptics. This is a clumsy attempt to force the entire federal government to conform to a bizarre view thoroughly rejected by the vast majority of scientists."

"Before he founded the CO2 Coalition, Happer chaired the George Marshall Institute and developed a reputation as one of the nation's premier climate "skeptics." The Institute received $865,000 from ExxonMobil between 1998 and 2011. (Elsewhere, ExxonMobil-funded think tanks have been found offering scientists $10,000-a-pop to undermine climate reports.) With a degree in physics from Princeton, Happer is unusually qualified to serve in this area—the various other deniers I spoke to for the story had degrees like a bachelor's in political science or a PhD in geography—but he is a professional denier all the same."

"Temperatures have not risen very much, and most of the temperature rise is probably completely natural, and has nothing to do with increasing CO2. Industrialization probably played a small role, but I think it's very hard to tell how much."

"...the public in general doesn't realize that from the point of view of geological history, we are in a CO2 famine.... There is no problem from CO2. The world has lots and lots of problems, but increasing CO2 is not one of the problems. So [the accord] dignifies it by getting all these yahoos who don't know a damn thing about climate saying, 'This is a problem, and we're going to solve it.' All this virtue signaling. You can read about it in the Bible: Pharisees and hypocrites and phonies."

"Happer is a former Princeton physics professor who co-founded the group in 2015. Before that, he chaired the George Marshall Institute—dissolved around the same time of the CO2 Coalition's founding—and developed a reputation as one of the nation's premier climate skeptics."

"Shut up...The demonisation of carbon dioxide is just like the demonisation of the poor Jews under Hitler. Carbon dioxide is actually a benefit to the world, and so were the Jews."

"I like to call this the CO2 anti-defamation league, because, there is the CO2 molecule, and it has undergone decade after decade of abuse, for no reason. We’re doing our best to try and counter this myth that CO2 is a dangerous pollutant. It’s not a pollutant at all. . . . We should be telling the scientific truth, that more CO2 is actually a benefit to the earth."

"There’s a whole area of climate so-called science that is really more like a cult. It’s like Hare Krishna or something like that. They’re glassy-eyed and they chant. It will potentially harm the image of all science."

"We know that carbon dioxide has been a much larger fraction of the earth's atmosphere than it is today, and the geological record shows that life flourished on land and in the oceans during those times. The incredible list of supposed horrors that increasing carbon dioxide will bring the world is pure belief disguised as science."

"I am trying to explain to my fellow Americans the serious damage that will be done to us, and indeed to the whole world, by cockamamie policies to ‘save the planet’ from CO2."

"I, and many other scientists, think the warming will be small compared the natural fluctuations in the earth’s temperature, and that the warming and increased CO2 will be good for mankind."

"I claim that the success of current scientific theories is no miracle. It is not even surprising to the scientific (Darwinist) mind. For any scientific theory is born into a life of fierce competition, a jungle red in tooth and claw. Only the successful theories survive—the ones which in fact latched onto the actual regularities in nature."

"Nelson rejected the prevailing views to the effect that nonstandard analysis operates with some fictional elements that extend the standard world of mathematical entities. In his approach, nonstandard objects inhabit the realm of the most ordinary mathematical objects. Nelson emphasized the creative syntactic contribution of the new approach in the following terms: “Really new in nonstandard analysis are not theorems but the notions, i.e., external predicates.” (Nelson 1988 ...)"

"The subject matter of mathematics is the expressions themselves together with the rules for manipulating them—nothing more."

"Intellectual property is an oxymoron."

"[T]he space constant K... "" may in principle at least be determined by measurement on the surface, without recourse to its embodiment in a higher dimensional space."

"These formulae [in (1) and (2) above] may be shown to be valid for a circle or a triangle in the hyperbolic plane... for which K < 0. Accordingly here the perimeter and area of a circle are greater, and the sum of the three angles of a triangle are less, than the corresponding quantities in the Euclidean plane. It can also be shown that each full line is of infinite length, that through a given point outside a given line an infinity of full lines may be drawn which do not meet the given line (the two lines bounding the family are said to be "parallel" to the given line), and that two full lines which meet do so in but one point."

"In the sum \sigma of the three angles of a triangle (whose sides are arcs of s) is greater than two right angles [180&deg;]; it can... be shown that this "spherical excess" is given by 2)\sigma - \pi = K \deltawhere \delta is the area of the spherical triangle and the angles are measured in s (in which 180&deg; = \pi [radians]). Further, each full line (great circle) is of finite length 2 \pi R, and any two full lines meet in two points—there are no parallels!"

"[W]e propose... to deal exclusively with properties intrinsic to the space... measured within the space itself... in terms of... inner properties."

"Measurements which may be made on the surface of the earth... is an example of a 2-dimensional congruence space of positive curvature K = \frac{1}{R^2}... [C]onsider... a "small circle" of radius r (measured on the surface!)... its perimeter L and area A... are clearly less than the corresponding measures 2\pi r and \pi r^2... in the Euclidean plane. ...for sufficiently small r (i.e., small compared with R) these quantities on the sphere are given by 1):L = 2 \pi r (1 - \frac{Kr^2}{6} + ...), A = \pi r^2 (1 - \frac{Kr^2}{12} + ...)"

"The value of the intrinsic approach is especially apparent in considering 3-dimensional congruence spaces... The intrinsic geometry of such a space of curvature K provides formulae for the surface area S and the volume V of a "small sphere" of radius r, whose leading terms are 3)S = 4 \pi r^2 (1 - \frac{Kr^2}{3} + ...), V = \frac{4}{3} \pi r^3 (1 - \frac{Kr^2}{5} + ...)."

"[O]nly in a homogeneous and isotropic space can the traditional concept of a rigid body be maintained."

"That the existence of these motions (the "axiom of free mobility") is a desideratum, if not... a necessity, for a geometry applicable to physical space, has been forcefully argued on a priori grounds by von Helmholtz, Whitehead, Russell and others; for only in a homogeneous and isotropic space can the traditional concept of a rigid body be maintained."

"is a congruence geometry, or equivalently the space comprising its elements is homogeneous and isotropic; the intrinsic relations between... elements of a configuration are unaffected by the position or orientation of the configuration. ...[M]otions of are the familiar translations and rotations... made in proving the theorems of Euclid."

"In all these congruence geometries, except the Euclidean, there is at hand a natural unit of length R = \frac{1}{K^\frac{1}{2}}; this length we shall, without prejudice, call the "radius of curvature" of the space."

"Distinguished scientist, selfless servant of the national interest, courageous champion of the good and the right, warm human being, he gave richly to us and to all from his own great gifts. We are grateful for the years with him. We mourn the loss of his presence but rejoice in the legacy of his wisdom and strength."

"The solution of (1), which represents a homogeneous manifold, may be written in the form:ds^2 = \frac{d\rho^2}{1 - \kappa^2\rho^2} - \rho^2 (d\theta^2 + sin^2 \theta \; d\phi^2) + (1 - \kappa^2 \rho^2)\; c^2 d\tau^2, \qquad (2)where \kappa = \sqrt \frac{\lambda}{3}. If we consider \rho as determining distance from the origin... and \tau as measuring the proper-time of a clock at the origin, we are led to the de Sitter spherical world..."

"Euclidean geometry is only one of several congruence geometries... Each of these geometries is characterized by a real number K, which for Euclidean geometry is 0, for the hyperbolic negative, and for the spherical and elliptic geometries, positive. In the case of 2-dimensional congruence spaces... K may be interpreted as the ' of the surface into the third dimension—whence it derives its name..."

"Weyl published a third appendix to his Raum, Zeit, Materie, and an accompanying paper], where he calculated the redshift for the ‘de Sitter cosmology’,ds^2 = -dt^2 + e^{2{\sqrt{\frac{\Lambda}{3}t}}} (dx^2+dy^2+dz^2),the explicit form of which would only be found later, independently by Lemaître and Robertson."

"[T]he astronomical data give the number N of nebulae counted out to a given inferred "distance" d, and in order to determine the curvature... we must express N, or equivalently V, to which it is assumed proportional, in terms of d. ...from the second of formulae (3) and... (4)... to the approximation here adopted, 5)V = \frac{4}{3} \pi d^2 (1 + \frac{3}{10} K d^2 + ...);...plotting N against... d and comparing... with the formula (5), it should be possible operationally to determine the "curvature" K."

"We should, of course, expect that any universe which expands without limit will approach the empty de Sitter case, and that its ultimate fate is a state in which each physical unit—perhaps each nebula or intimate group of nebulae—is the only thing which exists within its own observable universe."

"This... is an outrageously over-simplified account of the assumptions and procedures..."

"The general theory of relativity considers physical space-time as a four-dimensional manifold whose line element coefficients g_{\mu \nu} satisfy the differential equationsG_{\mu \nu} = \lambda g_{\mu \nu} \qquad .\;.\;.\;.\;.\;.\; (1)in all regions free from matter and electromagnetic field, where G_{\mu \nu} is the contracted Riemann-Christoffel tensor associated with the fundamental tensor g_{\mu \nu}, and \lambda is the ."

"Langlands spent every morning, seven days a week, for five years working on the paper he delivered in Oslo. It is written entirely in Russian and dedicated in large part to reformulating the geometric program championed by Frenkel. This new paper is an attempt to shift the field toward a more traditional approach: it proposes a new mathematical basis for the geometric theory that relates more closely to Langlands’s own conjectures by using similar tools to the ones he used in the ’60s—in the process, restoring his work back to its original arithmetic purity."

"All the light which is radiated... will, after it has traveled a distance r, lie on the surface of a sphere whose area S is given by the first of the formulae (3). And since the practical procedure... in determining d is equivalent to assuming that all this light lies on the surface of a Euclidean sphere of radius d, it follows...4 \pi d^2 = S = 4 \pi r^2 (1 - \frac{K r^2}{3} + ...);whence, to our approximation 4)d = r (1- \frac{K r^2}{6} + ...), or r = d (1 + \frac{K d^2}{6} + ...)."

"The search for the curvature K indicates that, after making all known corrections, the number N seems to increase faster with d than the third power, which would be expected in a Euclidean space, hence K is positive. The space implied thereby is therefore bounded, of finite total volume, and of a present "radius of curvature" R = \frac{1}{K^\frac{1}{2}} which is found to be of the order of 500 million light years. Other observations, on the "red shift" of light from these distant objects, enable us to conclude with perhaps more assurance that this radius is increasing..."

"In what respect... does the general theory of relativity differ...? The answer is: in its universality; the force of gravitation in the geometrical structure acts equally on all matter. There is here a close analogy between the gravitational mass M...(Sun) and the inertial mass m... (Earth) on the one hand, and the heat conduction k of the field (plate)... and the coefficient of expansion c... on the other. ...The success of the general relativity theory... is attributable to the fact that the gravitational and inertial masses of any body are... rigorously proportional for all matter."

"He’s clearly one of the most important living mathematicians. His legend precedes him. But the question is, ‘Do mathematicians really know what he has done?’ It’s like having a famous writer but no one has read his books."

"The field equation may... be given a geometrical foundation, at least to a first approximation, by replacing it with the requirement that the mean curvature of the space vanish at any point at which no heat is being applied to the medium—in complete analogy with... the general theory of relativity by which classical field equations are replaced by the requirement that the Ricci contracted curvature tensor vanish."

"He would become fluent in French, Russian, German and Turkish, and well-versed in their literature. Frenkel, who exchanges emails with Langlands in Russian, speculates that his versatility with languages may have had something to do with his ability to see connections in disparate fields of mathematics."

"An "empty world," i.e., a homogeneous manifold at all points at which equations (1) are satisfied, has, according to the theory, a constant Riemann curvature, and any deviation from this fundamental solution is to be directly attributed to the influence of matter or energy."