Prerequisites:
MUSI G6601-G6602
or the instructor's permission.
This year-long sequence explores advanced topics relating to the production of music by computer. Although programming experience is not a prerequisite, various programming techniques are enlisted to investigate interface design, algorithmic composition, and computer analysis of digital audio. Some familiarity with computer music hardware/software is expected.
Prerequisites: Refer to course syllabus.
Theory and geometry of linear programming. The simplex method. Duality theory, sensitivity analysis, column generation and decomposition. Interior point methods. Introduction to nonlinear optimization: convexity, optimality conditions, steepest descent and Newton's method, active set and barrier methods.
(Seminar). This seminar focuses on the relation between New World encounters and narrative form. It draws on an array of seventeenth- and eighteenth-century genres ranging from exploration and travel narratives to natural histories, novels, long poems, and medical treatises, among others. Rather than organizing this literary history by specific national, formal, or generic conventions, we will seek to understand the relation between those conventions and the evolution of colonialism in the New World. The course will lean heavily on early Caribbean material, and be attentive to the circulation of bodies and knowledge throughout the Atlantic world. We will examine the ways that writers narrate their observations and experiences, and inquire into the formal and narrative choices at their disposal. When and where do they make these choices, and to what effect? How do these choices affect the forms of their texts and shape the ways that we critics understand those forms as literary (or non-literary) productions?
This is a course designed for graduate students who are interested in media and their connections to religious traditions and practices. This includes a consideration of specific mediums, including books and other printed texts, photography, radio, television, film, and the internet. But there is also an important manner in which media technologies have to be understood not only as these cultural artifacts (radio, film) but also the more elementary senses they express (hearing, sight, etc). We therefore investigate media both as a broad conceptual category and as specific technologies of communication.
Course texts will include a combination of theoretical works as well as case studies drawn from major religious traditions. The learning goals of the course are: (1) to introduce seminal interpretive and methodological issues in the contemporary study of media/mediation; (2) to study some theoretical classics in the field, to provide a foundation for further reading; (3) to introduce new writing in the field; and (4) to encourage students to think of ways in which the issues and authors surveyed might provide models for their own ongoing research work.
As Post45 is increasingly understood as a field of American literature, what can be said about the diverse body of writing that falls into this category? Is there anything coherent to be said about a body of work that extends from the well-known literary fiction of Ralph Ellison, Flannery O’Connor, and Jack Kerouac to newer authors like Ben Lerner, Rivka Galchen, Chimamanda Ngozi Adichie, and Teju Cole? This course is not an exhaustive survey but a sampling of literary works that might be described as Post45 American fiction. Each week we will read a literary work, paired with critical writing that models different approaches to the analysis of prose fiction. Assignments will present students with opportunities to write in different genres, and expand their reading beyond the course material.
Prerequisites: (STAT GU4001) or Refer to course syllabus.
This is the first course in a two-course sequence introducing students to the theory of stochastic processes. The fall term starts with a review of probability theory and then treats Poisson processes, renewal processes, discrete-time Markov chains and continuous-time Markov chains. The spring term emphasizes martingales and Brownian motion. Although the course does not assume knowledge of measure theory or measure-theoretic probability, the focus is on the mathematics. Proofs are emphasized. This course sequence is intended for our first-year doctoral students. Indeed, one of the two qualifying exams at the end of the first year covers the material taught in this course sequence. The course is intended to provide students background, so that they will be able to effectively conduct research.
Prerequisites: Basic calculus, linear algebra, probability, and programming. Basic statistics and machine learning strongly recommended.
Bayesian approaches to machine learning. Topics include mixed-membership models, latent factor models, Bayesian nonparametric methods, probit classification, hidden Markov models, Gaussian mixture models, model learning with mean-field variational inference, scalable inference for Big Data. Applications include image processing, topic modeling, collaborative filtering and recommendation systems.
Prerequisites: (CSEE W4119) or (ELEN E6761) and ability to comprehend and track development of sophisticated models.
Mathematical models, analyses of economic and networking interdependencies in the Internet. Topics include microeconomics of pricing and regulations in communications industry, game theory in revenue allocations, ISP settlements, network externalities, two-sided markets. Economic principles in networking and network design, decentralized vs. centralized resource allocation, “price of anarchy”, congestion control. Case studies of topical Internet issues. Societal and industry implications of Internet evolution.
This course introduces the fundamental concepts and problems of international human rights law. What are the origins of modern human rights law? What is the substance of this law, who is obligated by it, and how is it enforced? The course will cover the major international human rights treaties and mechanisms and consider some of today's most significant human rights issues and controversies. While the topics are necessarily law-related, the course will assume no prior exposure to legal studies.
Prerequisites:
ECON G6211
and
G6215
.
G6805
covers analysis of taxation, welfare and social insurance programs – their efficiency and redistributive consequences, optimal design, policy issues and empirical evidence.
Prerequisites: (COMS W3134 or COMS W3136 or COMS W3137) and (COMS W3261)
Introduction to the theory and practice of formal methods for the design and analysis of correct (i.e. bug-free) concurrent and embedded hardware/software systems. Topics include temporal logics; model checking; deadlock and liveness issues; fairness; satisfiability (SAT) checkers; binary decision diagrams (BDDs); abstraction techniques; introduction to commercial formal verification tools. Industrial state-of-art, case studies and experiences: software analysis (C/C++/Java), hardware verification (RTL).
Prerequisites: (ELEN E4810)
Advanced topics in signal processing, such as multidimensional signal processing, image feature extraction, image/video editing and indexing, advanced digital filter design, multirate signal processing, adaptive signal processing, and wave-form coding of signals. Content varies from year to year, and different topics rotate through the course numbers 6880 to 6889. Current topic for 6880: MIMO Wireless Communication.
Required of all first-year Ph.D. candidates. Each faculty member addresses the proseminar in order to acquaint students with the interests and areas of expertise on the faculty. Through discussion and the dissemination of readings the student learns about possible areas of doctoral research.
Topic: Big Data Analytics.
Topic: Deep Learning for Computer Vision & NLP.
Prerequisites: Available to M.S. and Ph.D candidates in CS/CE.
Topics to help CS/CE graduate students’ communication skills. Emphasis on writing, presenting clear, concise proposals, journal articles, conference papers, theses, and technical presentations. May be repeated for credit. Credit may not be used to satisfy degree requirements.
Provides students the opportunity to present work in progress or final drafts to other students and relevant faculty to receive guidance and feedback.
Prerequisites: Instructor's permission.
Selected topics in computer science. Content varies from year to year. May be repeated for credit.
Prerequisites: Instructor's permission.
Selected topics in computer science. Content varies from year to year. May be repeated for credit.
Prerequisites: Instructor's permission.
Selected topics in computer science. Content varies from year to year. May be repeated for credit.
Prerequisites: Instructor's permission.
Selected topics in computer science. Content varies from year to year. May be repeated for credit.
Prerequisites: Instructor's permission.
Selected topics in computer science. Content varies from year to year. May be repeated for credit.
Prerequisites: Instructor's permission.
Selected topics in computer science. Content varies from year to year. May be repeated for credit.
Prerequisites: Instructor's permission.
Selected topics in computer science. Content varies from year to year. May be repeated for credit.
Prerequisites: Instructor's permission.
Selected topics in computer science. Content varies from year to year. May be repeated for credit.
Required course for first-year PhD Students in the Art History Department.
The dissertation colloquium is a non-credit course open to MESAAS doctoral students who have completed the M.Phil. degree. It provides a forum in which the entire community of dissertation writers meets, bridging the department's different fields and regions of research. It complements workshops outside the department focused on one area or theme. Through an encounter with the diversity of research underway in MESAAS, participants learn to engage with work anchored in different regions and disciplines and discover or develop what is common in the department's post-disciplinary methods of inquiry. Since the community is relatively small, it is expected that all post-M.Phil. students in residence will join the colloquium. Post M.Phil. students from other departments may request permission to join the colloquium, but places for non-MESAAS students will be limited. The colloquium convenes every semester, meeting once every two weeks. Each meeting is devoted to the discussion of one or two pre-circulated pieces of work (a draft prospectus or dissertation chapter). Every participant contributes at least one piece of work each year.
Prerequisites: Advanced knowledge of Latin or instructor permission required.
This course provides an introduction to bibliography and working with early printed books for Classics scholars and an introduction to early modern Latin through the printer's prefaces from the workshop of Aldus Manutius.
Prerequisites:
JPNS W4017-W4018
and the instructor’s permission.
Selected works in modern Japanese fiction and criticism.
Prerequisites:
CHNS W4007-4008
,
W4017-4018
, one year of an 8000-level course, and the student's adviser and the instructor's written permission.
Reading of advanced texts chosen in consultation with the student's advisor. GF
Prerequisites:
JPNS W4007-W4008
or the equivalent, and the instructor’s permission.
This graduate seminar reads canonical medieval poems against their relevant counterparts in leishu (compendiums arranged by classification systems that served as writing handbooks). We examine these compendiums as thresholds—lying outside the poems as their ostensible background material, these thesholds not only frame questions of genre and genealogy but also mediate the borders of poems. Some questions posed by this course: What conceptual paradigms are operative in the deployment of particular classifications? What are the implications for interpretive practice to regard a genre not as an archetype of abstracted qualities but, as these compendiums suggest, as something embodied by exemplars? Insofar as categories are organized by intertextual references, what is the relationship between lei and the work of allusion? What are the criteria and ramifications for determining the operative scope of allusions—are ‘contiguous’ but elided passages also in play? What is the family resemblance between leishu and commentaries like that of Li Shan for the Wenxuan anthology that do not so much give glosses as draw intertextual relationships? In what ways do lei furnish genealogies for things? What are the limits of ‘close reading’ on one hand and sprawling ‘intertextuality’ on the other?
Prerequisites:
PHYS G6037-G6038
.
Basic aspects of particle physics, focusing on the Standard Model.
Sec. 1: Ethnomusicology; Sec. 2: Historical Musicology; Sec. 3: Music Theory; Sec. 4: Music Cognition; Sec. 5: Music Philosophy.
Prerequisites: Faculty adviser's permission.
Selected topics of current research interest. May be taken more than once for credit.
Proseminar for Graduate Students only.
This course will situate the Jewish book within the context of the theoretical and historical literature on the history of the book: notions of orality and literacy, text and book, authors and readers, print and manuscript, literacy and gender, the book trade and its role in the circulation of people and ideas. It opens with the history of Jewish texts and literacy in premodern society and the changes wrought by transitions within scribal culture and with the gradual introduction of print. We follow print and scribal culture through the migrations of early modern Jewry as well as the repercussions of destruction and suppression in some places, openness and opportunity in others. The course will be taught in the Rare Book and Manuscript Library with the cooperation of Michele Chesner, Norman Alexander Librarian for Judaica and Hebraica at the Columbia Libraries.
This seminar investigates the art and archaeology of the Sumerian city-states in Mesopotamia, focusing on sculpture, architecture, material culture, and the historical scholarship and scholarly debates regarding this era. Advanced knowledge of the ancient Near East is expected of seminar participants. The seminar readings will consist primarily of archaeological site reports and historical texts, as well as secondary literature on the third millennium BC accompanied by some readings in archaeological and critical theories. Students will be expected to research and compile the bibliographies for each of the Early Dynastic sites for their presentations and final papers.
The course is designed to introduce you to the field of public management. It is a practical course organized around the tools managers may use to influence the behavior of their organizations. The course also discusses the political environment in which public managers must interact.
This is an advanced graduate seminar in Economic Sociology looking at new developments in this field. It addresses the disciplinary division of labor in which economists study value and sociologists study values; and it rejects the pact whereby economists study the economy and sociologists study social relations in which they are embedded.
This graduate seminar aims to introduce students to Freud and Freudian Psychoanalysis and the integration of both in critical theory. The main question the seminar aims to study is the formation of identity in psychoanalysis and how it relates to civilization and culture more generally, whether in its gender, sexual, or national configurations. The influence of Social Darwinism and Developmentalism more generally on Freudian psychoanalysis will be discussed as well as the importance of related temporal concepts deployed in psychoanalysis' insistence on the divide between primitivism and culture. We will discuss a number of major scholarly works engaging Freud's theories on all these questions and their relevance to social and cultural analysis.
Individual projects in composition.
Parabolic flows have become a central tool in differential geometry in recent years. One of the main problems is to understand the formation of singularities. In this course, I will give an introduction to the subject, starting with the simplest example of the curve shortening flow in the plane. We will then discuss the main a-priori estimates for mean curvature flow in higher dimensions, such as the convexity estimate, the cylindrical estimate, and the pointwise gradient estimate. Finally, we plan to present recent results concerning singularity formation for fully nonlinear curvature flows.
"Global Governance" has become an increasingly common term to capture an enormous diversity of governance regimes and specific public and private agreements. It includes well-established public institutions such as the WTO (World Trade Organization) and the ISO (International Standards Organization). But it also includes private agreements among actors in specialized domains, such as private commercial arbitration --which has become the dominant form for settling cross-border business disputes. The course will cover the full range of these governance modes even if not all specific agreements -- a number so vast it is impossible to cover in a single course.
A study of the meanings and cultural significance of music and music theory; integration of music theory with areas outside of music, such as aesthetics, literary criticism, cognitive psychology, sociology of music, semiotics, phenomenology, theories of narrative, hierarchy theory, and linguistics.
This course critically examines the history of Early Modern architectural practice and theory in Britain between 1600 and 1800. It aims to rethink and energize this traditional, and often marginalized, field in light of broader, contemporary discourses on art and architectural history. While considering the formation of an architectural national identity, the course seeks to introduce new European and global perspectives. We will consider how a nascent history of architecture interacted with issues of theory, technology, science, culture, and the printing press. At the same time, the seminar will address questions of gender, as well as other social and political concerns. It will approach current debates on temporality, portability, materiality and fragmentation in architecture. Seminar meetings will center on major artists (e.g. Inigo Jones, Wren, Hawksmoor, Adam, Soane); different scales of architecture, from the city to the landscape; institutions and movements (e.g. Universities, the Royal Office of Works, Palladianism). We will of course attend to key moments in the historiography of British architecture, with special attention to early foundational literature and primary sources.
Prerequisites: one graduate course in music and the instructor's permission.
Exploration of gender and sexuality studies in music theory and historical musicology. Music explored will include classical music, popular music and jazz.
2012 marked the centennial of American artist Gordon Parks. Parks was a writer, musician, and filmmaker. He is best known, however, as a photographer, who began his career with the Farm Security Administration, worked as a photojournalist for
Life
magazine, and lived in Paris as a correspondent for
Vogue
. This course interrogates ideas of intermedia, multidisciplinarity, as well as theoretical concepts of intersectionality in the 20th and 21st centuries through the figure of Parks. We will explore the photograph as social document in the New Deal and Civil Rights eras, and consider its role as news and as a register of beauty in the periodical format. Parks' film work spanned the black coming-of-age story in the 1960s (
The Learning Tree
, 1969; based on his own 1963 novel), and the "insurgent visibility" of the more uncompromising figures of the Blaxploitation genre (
Shaft
, 1971) and the Black Power period.
Comparative media is an emergent approach intended to draw upon and interrupt canonical ideas in film and media theory. It adopts a comparative approach to media as machines and aesthetic practices by examining contemporary media in relation to the introduction of earlier technologies. The class also extends our focus beyond the U.S. and Europe by examining other cultural locations of media innovation and appropriation. In doing so, it decenters normative assumptions about media and media theory while introducing students to a range of media practices past and present.
The idea that technology––in particular information technologies––is democratizing is a truism whose origins go back to the postwar era. With the rise of digitization––i.e. the Internet, social media––this utopianism has accelerated, promising user autonomy, decentralization, and new forms of engagement and participation that will inevitably shape community and make the world a better place. This course seeks to problematize these claims by examining theories of digitization, democracy, and technical society. It questions the universalism that underlies such utopianism––in particular with regards to matters of race, gender, and ethnicity––approaching technologies as socially symbolic meanings that both build upon and produce new forms of knowledge, potentially engendering political inequality and
anti
-democracy. Welcoming students from departments across the university, the course aims to generate a cross-disciplinary dialogue about these issues in relation to art, culture, and society.
This seminar will examine the relationship of architecture to the rise of the modern art museum since the Enlightenment. On the one hand the museum’s spatial organization and formal expression were integral to the stakes of cultivating a new aesthetically aware citizen and of crafting spaces of culture. On the other the project of a museum of architecture remained fraught with difficulties and paradoxes.
Individual work with an adviser to develope a topic and proposal for the Ph.D. dissertation.
Prerequisites: Instructor permission
This course will examine the history of Japanese photography from the middle of the 19th century to the present. The seminar will be organized both chronologically and thematically. Throughout its history, photography has been a powerful medium for addressing the most challenging issues facing Japanese society. Among the topics under discussion will be: tourist photography and the representation of women within that genre in the late 19th century, the politics of propaganda photography, the construction of Japanese cultural identity through the representation of “tradition” in photography, and the interest in marginalized urban subcultures in the photography of the 1960s and 1970s. Although the course will be focused on Japan, the class will read from the literature on photography elsewhere in order to situate Japanese work within a broader context.
This graduate colloquium will introduce students to the literature of colonial Latin American history, from narrative and institutional history to social history, and then on to ethno-history and gender history. Both early and recent books will be discussed, together with the latest debates in the field.
The course will cover various topics in number theory located at the interface of p-adic Hodge theory, p-adic geometry, and the p-adic Langlands program.
Prerequisites:
G6215
,
G6216
,
G6211
,
G6212
,
G6411
,
G6412
.
Students will make presentations of original research in Microeconomics.
“In politics,” Reinhart Koselleck writes at the end of his essay on the modern concept of revolution, “words and their usage are more important than any other weapon.” Perhaps. Or perhaps not. Perhaps it is action that matters more than words, ultimately—political engagement, praxis, “agir.” Perhaps the words, in the end, merely catch up with the things. Regardless, a central question arises: In an age that may be considered post-revolutionary (but that too is a question), how should we understand and theorize collective action and individual political engagement? This seminar seeks to answer that question through a sustained, critical examination of different contemporary forms of political upheaval. The purpose of this seminar series, then, is to explore various modalities of uprising, disobedience, inservitude, revolt, or other forms of political contestation. Instead of including them all under the name of “revolution”—a term that has become conceptually and historically fraught—we are interested in considering how specific experiences and discourses articulate new forms of upheaval or reformulate well-known ones. By focusing on this conceptual, historical and political problematic, we intend to shine a light on experiences and manifestations that take place at the local and at the global level, as well as at the subjective and the collective level. The idea is to articulate how critical political practice is expressed and understood today.
This is a year-long course (Y course). Columbia GSAS students will be required to take both Fall and Spring semesters of this course. No grade will be issued for the Fall semester, the credits are broken up across both semesters, 4 credits total, 1 in Fall and 3 in Spring. This course co-convenes with LAW L8866 001.
Research in and reading in Chinese history.
Field(s): EA
Prerequisites: Chinese-History G4815-G4816 or the equivalent.
Selected problems and controversies in the social and political history of the Sung dynasty, approached through reading and discussion of significant secondary research in English.
Field(s): EA