Independent work involving experiments, computer programming, analytical investigation, or engineering design.
Prerequisites: Permission of the departmental representative required. For specially selected students, the opportunity to do a research problem in contemporary physics under the supervision of a faculty member. Each year several juniors are chosen in the spring to carry out such a project beginning in the autumn term. A detailed report on the research is presented by the student when the project is complete.
See the Barnard and Columbia Architecture Department's website for the course description:
https://architecture.barnard.edu/architecture-department-course-descriptions
Black Speculative Fiction encompasses a whole range of Black subgenres from Science Fiction and Fantasy to Horror and Afrofuturism. For the duration of this course, we will attempt to begin the work of extrapolating the function of Blackness within these various genres—interrogating which syntactical elements are required to label a piece of fiction “Black” and how Blackness informs genre. Through formal analysis of texts and the application of various theories presented in class, we’ll begin to understand how Blackness moves through genre to understand its relationship to the world and in some cases, to the artform itself. We will look at various texts: Film, Television, Prose, and Music. By looking across genres, we will be able to honor the inherent intertextuality of Black work and the constant inter-discursive work done across genre, text, and time. Whether a critique of structural anti-Blackness writ large, an expression of the complexity of the positionality of Black persons, or a statement of the function of Blackness, these texts make a case for the theoretical rigor and provocative discourses that lies at the heart of Black Speculative Fiction.
Weekly seminar to accompany Senior Honors Thesis Lab (CHEM BC3903). Focus is on scientific presentation and writing skills and research conduct.
Discussion of senior research projects during the fall and spring terms that culminate in written and oral senior theses. Each project must be supervised by a cognitive scientist working at Barnard or Columbia.
Prerequisites: The written permission of the faculty member who agrees to act as sponsor (sponsorship limited to full-time instructors on the staff list), as well as the permission of the Director of Undergraduate Studies. The written permission must be deposited with the Director of Undergraduate Studies before registration is completed. Guided reading and study in mathematics. A student who wishes to undertake individual study under this program must present a specific project to a member of the staff and secure his or her willingness to act as sponsor. Written reports and periodic conferences with the instructor.
Supervising Readings do NOT count towards major requirements, with the exception of an advanced written approval by the DUS.
Corequisites: CHEM BC3902 Guided research in Chemistry or Biochemistry, under the sponsorship of a faculty member, leading to the senior thesis. A minimum of 8 hours of research per week, to be arranged.
Corequisites: CHEM BC3902 Guided research in Chemistry or Biochemistry, under the sponsorship of a faculty member, leading to the senior thesis. A minimum of 8 hours of research per week, to be arranged.
This course considers formations of gender, sexuality, and power as they circulate transnationally, as well as transnational feminist and queer movements that have emerged to address contemporary gendered and sexual inequalities. Topics include political economy, global care chains, sexuality, sex work and trafficking, feminist and queer politics, and human rights. If it is a small world after all, how do forces of globalization shape and redefine the relationship between gender, sexuality, and powerful institutions like the state? And, if power swirls everywhere, how are transnational power dynamics reinscribed in gendered bodies? How is the body represented in discussions of nationalism and in the political economy of globalization? These questions will frame this course by highlighting how gender, sexuality, and power coalesce to impact the lives of individuals in various spaces including workplaces, the academy, the home, religious institutions, the government, and civil society, and human rights organizations. This course will enable us to think transnationally, historically, and dynamically, using gender and sexuality as lenses through which to critique relations of power and the ways that power informs our everyday lives and subjectivities.
The rise of crossover culture: racially segregated markets and genres; organizational environments and the rise of independent labels; the creative process and black-white conflict and connection; the emergence of rock as a white genre; civil rights, Black Power, and the politics of soul; cultural borrowing and the postracial ethos.
Examines processes of immigrant incorporation in the U.S. and other advanced democracies, with a focus on how immigration intersects with categorical inequalities (such as citizenship, social class, race, ethnicity, gender, and religion) in major institutional realms. Under instructor's supervision, students conduct a substantial research project related to course themes.
Ubiquitous computing is creating new canvases and opportunities for creative ideas.
This class explores the use of microprocessors, distributed sensor networks, IoT,
and intermedia systems for the purposes of creative expression. The course is delivered
in a mixed lecture and lab format that introduces the fundamental concepts
and theory behind embedded systems as well as issues particular to their creative
employment. The key objective of the course is for students to conceive of and
implement creative uses of computation.
Discusses theories of race and ethnicity, distinctions between prejudice, discrimination, and racism, and the intersectionality paradigm. Under instructors guidance students design a research proposal, conduct their own fieldwork and write a research paper on a sociological question relating to race and/or ethnicity.
Corequisites: Students must have an internship related to social justice or human rights during This class is intended to complement and enhance the internship experience for students working in internships that relate to social justice and human rights during the Spring 2016 semester. This course will meet bi-weekly to provide an academic framing of the issues that students are working on and to provide an opportunity for students to analyze their internship experience.
In a renewed age of anti-immigrant fervor, the last few years have seen attention focused on people seeking asylum – the process under international law by which people fleeing persecution can seek protection in a country not of their citizenship. New York has become a particular flashpoint with a large influx of asylum seekers, most of them from Latin America. Often, they have arrived on buses sent here by southern governors intending to make the border “problem” that of a so-called “sanctuary city.” How has New York responded? And how does this fit into the city’s long history of refuge?
This course will offer students an introduction to the theory, ethics, and history of the idea of international protection. We will look specifically at how Latin American citizens have engaged with the US asylum system over time and how this engagement has changed the shape of US immigration laws. We will study the origins of the ideas of international protection, who is understood to qualify and why, how the system has changed over time, and what these developments mean for a broader understanding of human rights across borders. We will also take a critical look at asylum, examine ideas of deservingness and innocence and their intersection with categories of race, class and gender, and question what it means for certain people to be constructed as victims and others to be seen as not eligible – or worthy – of protection.
This is an engaged pedagogy course. The class will be organized around a close collaboration with a NY legal organization that has taken on the work of representing many asylum seekers in the city. Students will learn the complexities of US asylum law and will work collectively to use this knowledge, while developing their research skills, to put together reports to be used in active asylum cases.
This seminar will investigate efforts to coordinate, justify, and understand global activism through lenses of internationalism, solidarity, and universal human rights. We will also study transformations in the global institutional landscape – comprising international finance, supranational unions, and non-governmental organizations – which is itself the contradictory outcome of prior cycles of contestation. We will survey historical precedents, analyze contemporary manifestations, and speculate on the future prospects of global activism. Students will explore cases and concepts by reading scholarly literature and by considering the political practices, texts, and media created by movements themselves.
This seminar and engaged pedagogy course is centered around close collaboration with a community-based organization in New York City. We will divide our time between an intellectual study of the history, theory, and practice of human rights protections, and address the semester's specific topic as it is unfolding locally and nationally, in real time. As an engaged pedagogy course, the academic and project-based work will be conducted in conjunction with, and for the benefit of, an organization involved in local social justice work. The course is therefore fundamentally designed around the lives, experiences, and needs of real people in New York City and the organizations dedicated to advancing their demands. Our partner organizations serve the needs of their members or clients in various ways, including but not limited to: legal representation, public policy advocacy, rights' campaigns, and educational outreach. Students will work directly with members and/or clients of these organizations as they draw upon human rights frameworks to make specific demands to ameliorate their circumstances. Ultimately, students will use their academic knowledge, reading and writing skills, and newly-gained on-site experience to complete a specific project intended to further the causes and needs of the community-based organization and its members.
The American Dream of owning a home has long represented an ideal of American equity. The ideal screams of opportunity and meritocracy: no matter how poor one begins life, as long as they work and save, they can enjoy the security and safety of home. To many, this ideal gives them hope, for they can see possibility for their achievement. To others, the ideal feels like a farce, for they rightly anticipate facing countless barriers to achieving that dream.
This course examines challenges, contradictions, and ironies of American housing equity. We study ways in which the ideal of single-family home ownership has directly led to excluding large portions of the population from secure housing. We examine why and how many Americans can be deeply committed to equality and freedom and still perpetuate inequalities in their housing choices. We examine how people at the bottom who understand well the barriers they face still manage to survive, invent, and struggle to achieve dignity and equity in their housing.
The course examines core issues of housing equity in America historically and in the present. The course primarily offers a sociological perspective on housing. But we will also read work and bring in perspectives from geography, history, urban planners, and others. In addition, we will also engage with work by journalists, which represents one way that the multi-disciplinary issues of housing are connected in narratives intended for a wider audience than more scholarly products. While we draw on work from various perspectives, we will focus on developing a sociological lens to understand housing.
This seminar explores theories regarding race/racism, gendered racism, capitalism, political economy, and processes related to how governments and markets allocate capital to build and maintain public goods and services and private amenities—from drinking water, to homes, to schools, to grocery and retail stores. Focus is on debates within and across Black communities regarding how Black people should seek individual and collective capacity to realize their citizenship rights and privileges, with particular attention to variation in Black Americans’ interests across the class spectrum. The final two weeks are devoted to Black liberation and reparations movements.
What is global health? Where do global health disease priorities come from, and how do the ways that we understand disease shape how we respond to it? What happens when good ideas and good intentions go wrong? This course critically examines the politics of global health and its impact on local institutions and people. Drawing on social science research, the course will address three main themes: 1) how global health priorities are defined and constructed, 2) how our understandings of disease influence our response to that disease, and 3) how efforts to respond to disease intersect with people on the ground, sometimes in unexpected ways. We will examine the global health industry from the vantage point of different institutions and actors – international organizations, governments, local healthcare institutions, healthcare workers, and people living with or at risk of various illnesses like HIV/AIDS, malaria, cancer, and Ebola. A primary goal of this course is to help you to develop skills in critical thinking in relation to global health issues and their impact on society. Students will demonstrate their knowledge through individual writing, class discussion, presentations, and a final research project.
Prerequisites: the instructors permission. This course pursues interconnections linking text and performance in light of magic, ritual, possession, narration, and related articulations of power. Readings are drawn from classic theoretical writings, colonial fiction, and ethnographic accounts. Domains of inquiry include: spirit possession, trance states, séance, ritual performance, and related realms of cinematic projection, musical form, shadow theater, performative objects, and (other) things that move on their own, compellingly. Key theoretical concerns are subjectivity - particularly, the conjuring up and displacement of self in the form of the first-person singular I - and the haunting power of repetition. Retraced throughout the course are the uncanny shadows of a fully possessed subject --within ritual contexts and within everyday life.
This seminar examines transgender people’s lives through a sociological lens, investigating how social structures, institutions, and everyday interactions shape trans people’s lives and identities. Students will analyze the intersectional nature of transgender experience, exploring how gender, race, class, disability, nation, and citizenship status create diverse lived realities within transgender communities. Topics include family dynamics, violence, resistance, space, work, legal recognition, and visions of transgender futures.
In little more than fifty years linguistics has shifted from philological description to a cognitive-biological quest to uncover the mind’s language faculty. This seminar traces that shift through the generative tradition, which treats language as an innate “mental organ” whose universal grammar lets children build a full syntax from sparse input. We follow Minimalism’s bold reduction: a single operation called Merge, plus a finite lexicon and two interfaces, one to articulation and one to thought, yields the “digital infinity” of human expression. Framing this architecture in evolutionary terms, we confront Darwin’s problem: did language emerge gradually for communication or erupt suddenly from pre-existing cognitive parts? Evidence from birdsong, primate calls, and gesture helps separate general performance limits from the species-specific competence that remains uniquely human. Students will practice minimalist analyses and weigh competing biolinguistic accounts, using language as a window onto the design and origin of the human mind.
Prerequisites: two years of calculus, at least one year of additional mathematics courses, and the director of undergraduate studies' permission. The subject matter is announced at the start of registration and is different in each section. Each student prepares talks to be given to the seminar, under the supervision of a faculty member or senior teaching fellow. Prerequisite: two years of calculus, at least one year of additional mathematics courses, and the director of undergraduate studies' permission.
Individual research in Women's Studies conducted in consultation with the instructor. The result of each research project is submitted in the form of the senior essay and presented to the seminar.
This course examines specific debates in the history and philosophy of science, and in science and technology studies (STS), with a view towards exploring the relationships among science, technology and society. The first half of the course engages methodological questions and theoretical debates concerning the nature of epistemology, and the significance of social interests, material agency, laboratory and social practices, and “culture(s)” in the making of scientific knowledge. The second half delves more specifically into the ways in which sciences and technologies are both embedded in and shape contemporary social and political practices and imaginaries
Working with her advisor, a student will expand the research project initiated in the Fall Senior Seminar for Music Majors (BC3992x). In order to satisfy the requirement, the student will complete a fifty page research paper.
Working with her advisor, a student will develop a vocal or instrumental recital program with representative musical works from a variety of historical periods. In order to satisfy the requirement, the student will present an hour long public performance of the recital program. Students may also satisfy this requirement by composing original vocal or instrumental works.
Enrollment limited to Barnard senior English majors with a concentration in creative writing.
This creative writing workshop represents an opportunity for creative writing concentrators to focus on one large project that will serve as a capstone senior project. As in a typical writing workshop, much of the focus will be on sharing and critiquing student work. Unlike other workshops, in this class students will focus on building out a longer project—such as a more ambitious full-length story for fiction and creative nonfiction writers and a chapbook for poets. This means students will discuss work by writers who may not share their own genre. We will focus on generating new work, developing your writing process, and creating new possibilities and momentum for your piece, as well as trying to create a sense of community among the concentrators. We will also conduct in-class writing exercises in response to short reading assignments and class lectures. Students should be aware of two important notes: (1) This class is limited to senior English majors who have already been approved to be creative writing concentrators; and (2) this course fulfills the requirement for concentrators to finish a senior project, but not the academic senior seminar requirement. This class is about your own writing and that of your classmates. This class will be what you make of it!
Prerequisites: Senior standing. Year-long course; participation is for two consecutive terms. No new students admitted for spring. Emphasizes the study of the built environment of cities and suburbs, and the related debates. Readings, class presentations, and written work culminate in major individual projects, under the supervision of faculty trained in architecture, urban design, or urban planning.
Majors in Mathematics are offered the opportunity to write an honors senior thesis under the guidance of a faculty member. Interested students should contact a faculty member to determine an appropriate topic, and receive written approval from the faculty advisor and the Director of Undergraduate Studies (faculty sponsorship is limited to full-time instructors on the staff list). Research is conducted primarily during the fall term; the final paper is submitted to the Director of Undergraduate Studies during the subsequent spring term.
MATH UN3994 SENIOR THESIS IN MATHEMATICS I must be taken in the fall term, during which period the student conducts primary research on the agreed topic. An optional continuation course MATH UN3995 SENIOR THESIS IN MATHEMATICS II is available during the spring. The second term of this sequence may not be taken without the first. Registration for the spring continuation course has no impact on the timeline or outcome of the final paper.
Sections of SENIOR THESIS IN MATHEMATICS I and II do NOT count towards the major requirements, with the exception of an advanced written approval by the DUS.
The Religion Salon is a one-point course in the Religion department, designed to offer students an introduction to new areas of the academic study of religion and/or new approaches to the field. The Religion Salon will be offered as a supplement to an existing course offered in the same semester and will be open to (but not required of) the students in that existing course as well as to students who wish to take the Salon as a stand-alone one-point course. The Religion Salon will feature guest scholars whose research and teaching extend into new areas and/or engage in new approaches to the academic study of religion.
This is an undergraduate seminar for special topics in computing arranged as the need and availability arises. Topics are usually offered on a one-time basis. Participation requires permission of the instructor. Since the content of this course changes each time it is offered, it may be repeated for credit.
Designed for students writing a senior thesis and doing advanced research on two central literary fields in the students major. The course of study and reading material will be determined by the instructor(s) in consultation with students(s).
Prerequisites: the written permission of the faculty member who agrees to act as a supervisor, and the director of undergraduate studies permission. For specially selected mathematics majors, the opportunity to write a senior thesis on a problem in contemporary mathematics under the supervision of a faculty member.
Prerequisites: Appropriate coursework and substantial production experience, including a major crew assignment in the junior year. Enrollment limited to senior Theatre majors. Combined and special majors may be considered under exceptional circumstances. Permission of the instructor required. Students register for this course to pursue approved theses in acting, design, directing, dramaturgy, solo performance, or stage and production management.
Students will act in, direct, design, stage manage or dramaturg a play in the Barnard Department of Theatre season, or write a short play or solo performance piece that will be produced (according to departmental guidelines) in the Senior Thesis Festival. Collaboration is expected and students will meet weekly with faculty and other seniors. A written proposal must be submitted in the spring of the junior year and be approved. In addition to the performance, an extensive written Casebook is required: see departmental guidelines.
Prerequisites: Appropriate coursework and substantial production experience, including a major crew assignment in the junior year. Enrollment limited to senior Theatre majors. Combined and special majors may be considered under exceptional circumstances. Permission of the instructor required. Students register for this course to pursue approved theses in acting, design, directing, dramaturgy, solo performance, or stage and production management.
Students will act in, direct, design, stage manage or dramaturg a play in the Barnard Department of Theatre season, or write a short play or solo performance piece that will be produced (according to departmental guidelines) in the Senior Thesis Festival. Collaboration is expected and students will meet weekly with faculty and other seniors. A written proposal must be submitted in the spring of the junior year and be approved. In addition to the performance, an extensive written Casebook is required: see departmental guidelines.
Prerequisites: Appropriate coursework and substantial production experience, including a major crew assignment in the junior year. Enrollment limited to senior Theatre majors. Combined and special majors may be considered under exceptional circumstances. Permission of the instructor required. Students register for this course to pursue approved theses in acting, design, directing, dramaturgy, solo performance, or stage and production management.
Students will act in, direct, design, stage manage or dramaturg a play in the Barnard Department of Theatre season, or write a short play or solo performance piece that will be produced (according to departmental guidelines) in the Senior Thesis Festival. Collaboration is expected and students will meet weekly with faculty and other seniors. A written proposal must be submitted in the spring of the junior year and be approved. In addition to the performance, an extensive written Casebook is required: see departmental guidelines.
Prerequisites: Appropriate coursework and substantial production experience, including a major crew assignment in the junior year. Enrollment limited to senior Theatre majors. Combined and special majors may be considered under exceptional circumstances. Permission of the instructor required. Students register for this course to pursue approved theses in acting, design, directing, dramaturgy, solo performance, or stage and production management.
Students will act in, direct, design, stage manage or dramaturg a play in the Barnard Department of Theatre season, or write a short play or solo performance piece that will be produced (according to departmental guidelines) in the Senior Thesis Festival. Collaboration is expected and students will meet weekly with faculty and other seniors. A written proposal must be submitted in the spring of the junior year and be approved. In addition to the performance, an extensive written Casebook is required: see departmental guidelines.
Prerequisite: the written permission of the staff member under whose supervision the research will be conducted.
Prerequisites: Permission of program director in the semester prior to that of independent study.
Enrollment is limited to Barnard senior English majors. To see the current course description for each section, visit the English Department website:
https://english.barnard.edu/english/senior-seminars
Enrollment is limited to Barnard senior English majors. To see the current course description for each section, visit the English Department website:
https://english.barnard.edu/english/senior-seminars
Enrollment is limited to Barnard senior English majors. To see the current course description for each section, visit the English Department website:
https://english.barnard.edu/english/senior-seminars
Enrollment is limited to Barnard senior English majors. To see the current course description for each section, visit the English Department website:
https://english.barnard.edu/english/senior-seminars
Working research seminar devoted to helping students produce a substantive piece of writing that will represent the culmination of their work at the College and in the major.
Prerequisites: the department's permission. Supervised Individual Research
Prerequisites: Enrollment limited to senior Theatre majors. Combined and special majors may be considered under exceptional circumstances. Permission of the instructor required. In-depth research project culminating in a substantial written thesis on any aspect of drama, performance, or theatre research.
Prerequisites: Open to majors who have fulfilled basic major requirements or written permission of the staff member who will supervise the project. Specialized reading and research projects planned in consultation with members of the Asian and Middle Eastern Cultures teaching staff.
Prerequisites: Permission of the instructor. Enrollment limited to 15. Preregistration required. Examines the theory and practice of transnational feminist activism. We will explore the ways in which race, class, culture and nationality facilitate alliances among women, reproduce hierarchical power relations, and help reconstruct gender. The course covers a number of topics: the African Diaspora, suffrage, labor, development policy, colonialism, trafficking, consumerism, Islam, and the criminal justice system.
Prerequisites: open only to qualified majors in the department; the director of undergraduate studies permission is required. An opportunity for research under the direction of an individual faculty member. Students intending to write a year-long senior thesis should plan to register for C3996 in the spring semester of their senior year and are strongly advised to consult the undergraduate studies as they plan their programs.
Prerequisite: Successful completion of URBS UN2200 Introduction to GIS Methods, or equivalent with instructor permission.
With the veritable explosion of urban data alongside the continued proliferation of new tools for its consideration, this course allows students to develop specialized approaches to spatial analysis while introducing a series of common advanced techniques and nuanced methodological questions. Aimed at covering a variety of topics with immediate relevance to urbanism in practice and in research, the course operates with a two-fold mission: (1) to critically discuss the theories, concepts, and research methods involved in spatial analysis and (2) to learn the techniques necessary for engaging those theories and deploying those methods. The class will work to meet this mission with a dedicated focus on the urban environment and the spatial particularities and relationships that arise from the urban context.
Among others, this course takes as a foundational premise that spatial analysis within geographic information systems is an incredibly powerful and double-edged weapon: it provides both the methods for answering complex spatial questions and the means for effectively communicating the results. Like any other weapon it can serve many ends, and as such an advanced course in spatial analysis must frame its use within the developing discourse on professional practice and responsibility.
The course is designed with a combination format. Early weeks are predominantly lecture-style presentations supplemented with discussion and technical demonstration and exercises. Students are expected to complete these exercises outside of class (as homework), bringing their questions to our discussion. The latter half of the course is a project-based seminar. Seminar-style presentation and discussion will rely heavily on student participation and preparation to consider the variety of spatial methods available and their implications on urban research and intervention. Woven throughout the semester is the development of a self-driven research project, through which students will engage and compare the methodological advantages and disadvantages of several assumptions, approaches, analyses, and datasets.
How have painters, filmmakers, novelists, and other artists portrayed the history of Africans and their descendants in Latin America? How do those portrayals – of the Middle Passage, slavery, revolution, abolition, and contemporary social movements, to name a few examples – compare to scholarly approaches to those same subjects? To answer these and other questions, this class brings together a wide array of materials covering more than five hundred years of Afro-Latin American history. The course will move chronologically from the 15th century to the present, with each week devoted to grappling with a topic relevant to the history of Afro-Latin America in a given era, as viewed through both artistic and scholarly sources. Students will come to class prepared to consider what each has to offer to our understanding of the past. We will also debate the possibilities of using art to disseminate historical knowledge, and whether there any dangers to privileging artistic over scholarly approaches to history (or vice versa). In addition, because NYC is home to so many museums, archives, and cultural institutions relevant to our subject, it will serve as an experiential laboratory where we will spend several of our class meetings. Learning outcomes. By the end of the semester, students will be skilled at the following:
analyzing artistic and scholarly sources on their own terms
discussing them in relation to one another
evaluating the utility of these diverse materials to the process of understanding the past.
This course focuses on the ways in which museums conceptualize, contextualize, curate and display Islamic art. In the process, it interrogates the degree to which the orientalist past and the secular present shapes our understanding of the Muslim world. Students will not just engage with material objects from Muslim societies but also consider the choices museums make about their display and presentation. These choices, in turn, speak to the role of museums in defining a specific understanding of the “sacred.” Finally, students will learn to thoughtfully and critically pose questions about the roles that museums as public institutions play in sharping public and private understandings of Islam.
The course begins with a general discussion of material objects in the study of religion. This is followed by a broad survey of Islamic Art which both describes and critiques the category as it has been framed in the Academy. Students then visit a number of museums to learn about the style and content of their Islamic collections. The course concludes by engaging a different kind of curation, namely oral histories in the Brooklyn Museum.
Prerequisites: MATH UN3007 A one semeser course covering the theory of modular forms, zeta functions, L -functions, and the Riemann hypothesis. Particular topics covered include the Riemann zeta function, the prime number theorem, Dirichlet characters, Dirichlet L-functions, Siegel zeros, prime number theorem for arithmetic progressions, SL (2, Z) and subgroups, quotients of the upper half-plane and cusps, modular forms, Fourier expansions of modular forms, Hecke operators, L-functions of modular forms.
Prerequisites: MATH UN1102 and MATH UN1202 and MATH UN2010 or the equivalent. The second term of this course may not be taken without the first. Groups, homomorphisms, normal subgroups, the isomorphism theorems, symmetric groups, group actions, the Sylow theorems, finitely generated abelian groups.
Prerequisites: MATH UN1102 and MATH UN1202 and MATH UN2010 or the equivalent. The second term of this course may not be taken without the first. Rings, homomorphisms, ideals, integral and Euclidean domains, the division algorithm, principal ideal and unique factorization domains, fields, algebraic and transcendental extensions, splitting fields, finite fields, Galois theory.
Prerequisites: MATH GU4041 and MATH GU4042 or the equivalent Algebraic number fields, unique factorization of ideals in the ring of algebraic integers in the field into prime ideals. Dirichlet unit theorem, finiteness of the class number, ramification. If time permits, p-adic numbers and Dedekind zeta function.
Prerequisites: (MATH GU4041 and MATH GU4042) and MATH UN3007 Plane curves, affine and projective varieties, singularities, normalization, Riemann surfaces, divisors, linear systems, Riemann-Roch theorem.
Intensive study of a philosophical issue or topic, or of a philosopher, group of philosophers, or philosophical school or movement. Open only to Barnard senior philosophy majors.
Prerequisites: MATH GU4051 Topology and / or MATH GU4061 Introduction To Modern Analysis I (or equivalents). Recommended (can be taken concurrently): MATH UN2010 linear algebra, or equivalent. The study of algebraic and geometric properties of knots in R^3, including but not limited to knot projections and Reidemeisters theorm, Seifert surfaces, braids, tangles, knot polynomials, fundamental group of knot complements. Depending on time and student interest, we will discuss more advanced topics like knot concordance, relationship to 3-manifold topology, other algebraic knot invariants.
A substantial paper, developing from an Autumn workshop and continuing into the Spring under the direction of an individual adviser. Open only to Barnard senior philosophy majors.
Prerequisites: MATH UN2010 and MATH GU4041 and MATH GU4051 The study of topological spaces from algebraic properties, including the essentials of homology and the fundamental group. The Brouwer fixed point theorem. The homology of surfaces. Covering spaces.
Prerequisites: MATH UN1202 or the equivalent, and MATH UN2010. The second term of this course may not be taken without the first. Real numbers, metric spaces, elements of general topology, sequences and series, continuity, differentiation, integration, uniform convergence, Ascoli-Arzela theorem, Stone-Weierstrass theorem.
The second term of this course may not be taken without the first. Power series, analytic functions, Implicit function theorem, Fubini theorem, change of variables formula, Lebesgue measure and integration, function spaces.
Prerequisites: (MATH GU4051 or MATH GU4061) and MATH UN2010 Concept of a differentiable manifold. Tangent spaces and vector fields. The inverse function theorem. Transversality and Sards theorem. Intersection theory. Orientations. Poincare-Hopf theorem. Differential forms and Stokes theorem.
Indigenous people are often imagined in the distant past, or as living anachronisms in relation to contemporary life. Working against these assumptions, this course examines how Native peoples have survived colonialism, focusing on economic aspects of colonialism in North America, while looking to Australia and Hawai‘i. We will look at the long history of Native land struggles, and links between colonial economies and ecological destruction. Themes guiding our inquiry include: the development of wage labor, property law and economic production on Native lands, histories of political and economic dependency, "development" as defined and practiced over Native communities, and Native people's own economic choices. Our inquiry will be oriented towards deepening our ability to critically analyze the colonial situation we live in, and to see Indigenous survivals despite ongoing assaults against life and territory.