Immigrants To The United States

"Our values—as well as our duties under civil rights laws—compel us to condemn hate and to protect every member of our community from harassment and discrimination. Antisemitic language and actions are unacceptable and calls for violence are simply abhorrent."

"Universities and institutions of higher education have existed for millennia, stretching back to the schools of the ancients in places like China, Egypt, Greece, and India. There is something special, even magical, about the tradition of students and scholars coming together to create these unique environments of learning."

"I know that many of our Jewish students, and other students as well, have found the atmosphere intolerable in recent weeks. Many have left campus, and that is a tragedy. To those students and their families, I want to say to you clearly: You are a valued part of the Columbia community. This is your campus too. We are committed to making Columbia safe for everyone, and to ensuring that you feel welcome and valued."

"Over the last few months, we have been patient in tolerating unauthorized demonstrations, including the encampment. Our academic leaders spent eight days engaging over long hours in serious dialogue in good faith with protest representatives. I thank them for their tireless effort. The University offered to consider new proposals on divestment and shareholder activism, to review access to our dual degree programs and global centers, to reaffirm our commitment to free speech, and to launch educational and health programs in Gaza and the West Bank. Some other universities have achieved agreement on similar proposals. Our efforts to find a solution went into Tuesday evening, but regrettably, we were unable to come to resolution."

"It is going to take time to heal, but I know we can do that together. I hope that we can use the weeks ahead to restore calm, allow students to complete their academic work, and honor their achievements at Commencement."

"Columbia has a long and proud tradition of protest and activism on many important issues such as the Vietnam War, civil rights, and the anti-apartheid struggle in South Africa. Today’s protesters are also fighting for an important cause, for the rights of Palestinians and against the humanitarian tragedy in Gaza. They have many supporters in our community and have a right to express their views and engage in peaceful protest."

"Free speech is the bedrock of academic inquiry and excellence. The threats it faces are real — many places ban books, curricula are sometimes determined by politicians rather than educational experts and scholars are at serious risk in many countries."

"For me, the lesson is clear. If colleges and universities cannot better define the boundaries between free speech and discrimination, government will move to fill that gap, and in ways that do not necessarily protect academic freedom. Just as our predecessors fought for desegregation and the admission of women, we need to create an educational environment where we fight all forms of prejudice, including against Arabs, Jews and Muslims."

"Today, the critical questions we ask include, “What are you going to do with the training you’ve acquired?” and “How are you going to use the research you’ve conducted for the betterment of society?” Look behind me at the inscription on Low Library which says we want to be an institution that is “cherished by generation after generation for the advancement of the public good."

"Rather than tearing ourselves apart, universities must rebuild the bonds within ourselves and between society and the academy based on our shared values and on what we do best: education, research, service and public engagement."

"The benefits of open capital markets are clear. They facilitate the flow of finance to where it would be most productive and help ensure global resources are allocated most efficiently. They allow savers and investors to diversify portfolios beyond national borders, and they provide a greater range of funding sources to fast growing economies and businesses"

"It is not okay to cast civility aside because the moment is too heated. We must cultivate a university culture that pushes back on the forces that seek to divide us. A culture that encourages empathy, not personal attacks on individuals or identities. Learning to speak, and listen with respect, that is a cherished Columbia value."

"We are living in a time of great divisions in our societies – between rich and poor, amongst different races and religions, and across fundamental values and principles. We see the rise of truculent nationalism and troubling fault lines in democracies across the world at a time when our most pressing challenges—such as climate change—require more international agreement. We are on the cusp of many technological revolutions in fields like artificial intelligence, neuroscience, quantum and nano technologies. At the same time, we are aging rapidly and coping with mental health challenges and worsening wellbeing."

"So let us forge a new social contract with society and with each other that will make us an exemplar of a great university in the 21st century. We will construct this on a foundation built by the wisdom of our past and forge new frontiers of scholarship and service. The legacy of the Columbians who came before will live on through us, as our legacy will live on through future generations, nurtured by the commitments we reaffirm here today."

"I think at the moment we really are on the cusp of potentially a major change, and I'm quite optimistic about not just all the women we see rising to the top, but also all the young women coming up who will fill those jobs in the future toward gender parity."

"When I was inaugurated as Columbia’s 20th president on October 4, 2023, I called for strengthening the bond between universities and society through a recommitment to academia’s contribution to the common good. The horrors of the Hamas attack three days later, the ensuing war with Israel and the tragic loss of civilian lives in Gaza have tested that bond in unimaginable ways. I have seen the campus engulfed in tensions and divisions deepened by powerful external forces."

"The wave of protests, encampments, and building takeovers has since spread across the US and around the world. Whatever one thinks of the response of university leaders — denouncing hurtful rhetoric, enforcing rules and discipline, and summoning police to restore order — these are actions, not solutions. All of us who believe in higher education must now engage in serious soul searching about why this is happening. Only then can universities recover and begin to realise their potential to heal and unify."

"From my perspective, there are two issues at stake. First, we must do a better job of defining the boundaries between the free speech rights of one part of our community and the rights of others to be educated in a place free of discrimination and harassment."

"I strongly believe that talent is spread evenly around the world, but opportunity is not."

"In the past, the middle class could count on a conveyor belt of higher education leading to university, leading to public sector employment. But now, that conveyor belt has stopped."

"The most obvious way to take international considerations into account is by treating risks emanating from abroad as an important input when setting domestic macroprudential policy."

"In a 1967 article, “Virgin Birth,” Leach astutely foreshadowed the reflexivity of the late 1970’s and 1980’s, calling attention to the fact that anthropologists call their own practice religion but assert that other peoples practice magic. In the present volume he presents the dramatic case of the fabrication of the Aryan invasion, which shows how profoundly the seemingly objective academic endeavors are affected by the mentalité of the culture to which they belong. Leach describes how cherished but erroneous assumptions in linguistics and anthropology were accepted without question. If the mentalité of the academic culture was in part responsible for the fabrication, geopolitics was even more responsible for upholding the Aryan invasion as history. The theory fit the Western or British vision of their place in the world at the time. The conquest of Asian civilization needed a mythical charter to serve as the moral justification for colonial expansion. Convenient, if not consciously acknowledged, was the Aryan invasion by a fair-skinned people, speaking the so-called Proto-Indo-European language, militarily conquering the dark- skinned, peasant Dasa (Dasyu), who spoke a non-European language and with whom the conquerors lived, as Leach puts it, in a “system of sexual apartheid.” The first civilization in India, thus, was built by the Aryan invaders. A remarkable case of Orientalism indeed."

"... if you take the s, we have a classification of them ... And then we've got a very simple explanation of why this list turns up, that they more or less correspond to finite reflection groups. And we know who to classify finite reflection groups. ... we can give single uniform construction of all the compact Lie groups. But there's nothing like that for the sporadic groups."

"(quote at 35:35 of 1:36:06 in video)"

"The classification of s shows that every finite simple group either fits into one of about 20 infinite families, or is one of 26 exceptions, called . The is the largest of the sporadic finite simple groups, and was discovered by and ... Its order is 8080,17424,79451,28758,86459,90496,17107,57005,75436,80000,00000 = 246 ⋅ 320 ⋅ 59 ⋅ 76 ⋅ 112 ⋅ 133 ⋅ 17 ⋅ 19 ⋅ 23 ⋅29 ⋅ 31 ⋅ 41 ⋅ 47 ⋅ 59 ⋅ 71 (which is roughly the number of elementary particles in the earth). The smallest irreducible representations have dimensions 1, 196883, 21296876, ... The has the power series expansion j(τ) = q−1 + 744 + 196884q + 21493760q2 +... where q = e2π iτ, and is in some sense the simplest nonconstant function satisfying the functional equations j(τ) = j(τ + 1) = j(−1/τ). noticed some rather weird relations between coefficients of the elliptic modular function and the representations of the monster as follows: 1 = 1 196884 = 196883 + 1 21493760 = 21296876 + 196883 + 1 where the numbers on the left are coefficients of j(τ) and the numbers on the right are dimensions of irreducible representations of the monster. At the time he discovered these relations, several people thought it so unlikely that there could be a relation between the monster and the elliptic modular function that they politely told McKay that he was talking nonsense. The term “monstrous moonshine” (coined by ) refers to various extensions of McKay’s observation, and in particular to relations between sporadic simple groups and modular functions."

"The work at school was really not that difficult if one applied oneself to it, but it was so uninteresting that you could not wish to apply yourself. I felt there was another mathematics. I later found that the yearning for and the satisfaction gained from mathematical inslight brings the subject near to art. While talent is undoubtedly needed by itself, it does not always make a person a mathematician. Yet most people who go into mathematics do it because they are know they are good at it. When their talent slowly declines they find themselves occasionally quite lost. This happens to some people at an early age. But what are they to do then?"

"In spite of my admiration for , I myself left his seminar and even his private circle, to which I had been admitted. I was the youngest in age in the , but I was disappointed that these gatherings could not give me guidance for my work in number theory. Had I realized what Gödel would achieve later, I would not have run away. For Gödel's results show that logic is not a subject that stands alone and is a basis for mathematical thinking; it is in fact part of mathematics."

"Olga Taussky is remembered by many for her lectures. One was 's in 1981; this had a special resonance, for she had known Emmy Noether both at Göttingen and at Bryn Mawr. Others remember Olga as author of some beautiful research papers, as teacher, as collaborator, and someone whose zest for mathematics was deeply felt and contagious. The field she is most identified with—which might be called "linear algebra and applications," though "real and complex matrix theory" would be preferred by some—did not have autonomous existence in the 1930s, despite the textbook by . Her service in that field is the very highest, as was palpable in the standing ovation after her survey talk at the second Raleigh conference."

"We'll get through this, the Church has been through a whole lot worse than this, but the thing is when you're in the middle of the storm, most of the time, all you comprehend is the storm. And when you're in that storm, it's like, when will this ever end? Because all your energy is focused on getting out of the storm and getting through the storm alive. You lose sense that it was calm before the storm, and there'll be calm afterwards and life will go on."

"I escaped. I locked up my house. At some point I thought I would go back in a few weeks, and I never knew that it was for good. And, you know, I left everything -- especially my wedding dress that I wish I could have."

"No, I never saw dead bodies."

"The biggest thing is to protect yourself emotionally and mentally, which should be a daily practice anyway.""

"As far as advice goes, I would definitely say keep your circle small and close. There really is something to making sure that you have a good support group."

"Society expects you to act a certain way and she didn't, which had its consequences."

"I think it's a good thing to look back on and understand that you have a power really. You have power in it and to use it wisely and to the best of our abilities too. Do good rather than bad."

"It's one of those things where — and this is why writers are so successful — it's about humanizing people."

"Some of the biggest monsters out there have something in their past that's made them into what they are.I don't think someone is just born into the world being nasty. Usually it's a combination of things. But it's interesting how it affects their life, how it affects everybody else in their life."

"You get into that position and you don't want to get your hopes up because everything is so fickle in the industry."

"Teenage bullying in general, I don't even want to say teenage anymore because everyone deals with some sort of bullying, it never ends. That's such a misconception, but bullying in general is so awful. Whether it's online or it's in person or it's your family."

"I am a practicing Muslim, so I kind of have an internal conflict sometimes. One of the biggest main sins it's hard to be forgiven for is adultery — having sex without marriage is a sin and doing it multiple times a day as an escort is one of the major sins that you will not be forgiven for, and I am fully aware of that, but yeah, I still pray."

"I’ve been told, ‘you’re not a Muslim, you’re a disgrace to Pakistan, Pakistan won’t accept you,’ but I do come from a Middle Eastern background and I am Muslim, not the way my parents are, but by practice. My sister covers her head, she’s modest, married, and has kids. My mom covers her head and prays five times a day, I pray two times a day but I’m still a practicing Muslim."

"... As a mathematician coming of age in the early years when women were underrepresented, namely the 1970s, I received informal mentoring in the form of experiential advice from rare encounters with females who had achieved professional recognition; their words of wisdom were substantive resources that allowed me to persevere. I am inspired by the book Every Other Thursday (Daniell 2006) which tells the story of a group of professional women, including scientists, university professors, and administrators, who met twice a month for twenty-five years, establishing specific practices such as goal setting, networking, and checking on each other's progress. I am inspired to see more intentional examples of mentoring taking panel for women and girls interested in the ."

"The nature of s comes down to a differential equation and a duality. The interplay between the two variables is still something of a mystery (to this writer). By virtue of the lattice of periods, the theta function is at the same time one of the most powerful objects of algebraic geometry. Much classical mathematics of curve theory (Riemann surfaces) is derived using this algebraic aspect. The key idea is to interpret the moduli space of line bundles over the curve as a principally polarized abelian variety. Exploitng its self-dual property provides two variables whose duality establishes a linearization of the class of non-linear s that have as a prototype."

"The notion of Algebraic Complete Integrability (ACI) of certain mechanical systems, introduced the early 1980s, has given great impetus to the study of moduli spaces of holomorphic vector bundles over an algebraic curve (or a higher-dimensional variety, still at a much less developed stage). Several notions of 'duality' have been the object of much interest in both theories. There is one example, however, that appears to be a beautiful isolated feature of genus-2 curves. In this note such example, which belongs to a 'universal' class of ACIs, namely (generalized) s, is interpreted in the setting of the classical geometry of Klein's quadratic complex, following the Newstead and Narasimhan-Ramanan programme of studying moduli spaces through projective models."

"Colour cinematography tends to brighten and cheapen natural colour. The problem was to counteract that. I realised that colour in films is nearer to painting than to the stage. Now if you look, for instance, at a crimson cloak painted by El Greco, you’ll find that what first appears as a mass of colour is in fact a subtle blending of all sorts of shades, with patches of pink and blue and purple and green. So I treated the colour the way a painter would."

"There was a blue lamp on the table. Mr Mamoulian placed an orange against it for contrast. He shoved a green chair in front of a red curtain. He made caustic remarks about the visitor's tie, pointed out that it wouldn't look well against a yellow drape. He spoke of mosaics and color progression; of red for excitement, dark blue for dignity and rosemary for remembrance. "If blood was green it wouldn't be exciting," he said."

"[Mamoulian] "[T]he majority of the films in the future will be done in color. Perhaps not immediately. Perhaps it will take three years or five years. But there must be progress and development in the cinema. Color will enrich it. It is part of that progress."

"[In 1927] Porgy made me overnight. In it I tried all my ideas of a dramatic integration of many elements ... At this time I felt it should be possible, in a stage production, to take a snapshot of the stage picture at any moment, and record an artistic composition. So each movement and grouping was minutely rehearsed. The actors were often required to adopt poses which were neither comfortable nor natural, but which looked right on the stage. That's stage truth."

"In this unhappy, fragmented world of ours, overflowing with mutual suspicions, hostilities, violence, and destruction, we need a constructive force. Politics, economics, religions seem to fail. I think our best hope is in the arts. Today, the most powerful and universal and powerful medium of art and communication is in the film. In the last few years I've done a great deal of traveling to many countries, and I've been amazed at the impact of films on both the individuals and the societies of different nations. The influence is enormous. So we must all strive to elevate the quality of motion pictures. We must affirm and insist that the ultimate goal of a film, no matter what subject matter it deals with, is to add to the beauty and goodness of life, to the dignity of human beings and to our faith in a better future."

"Shakespeare used the soliloquy to give oral expression to thoughts. Since then the soliloquy had become obsolete. But it was a wonderful device: so I wanted to use a close-up of Sylvia Sidney, alone, in prison, and superimpose over it all her impressions and recollections. Again, everybody insisted it was impossible and that the audience would never understand what was going on. I argued that in the silent cinema they had used – and the audience had accepted – stylisation: simile, visual poetry. So why not in sound? That’s what I wanted to do with sound and, later, with colour. Now, of course, this use of audible thoughts over a silent close-up has become a convention."