Research in an area of mechanical engineering culminating in a verbal presentation and a written thesis document approved by the thesis adviser. Must obtain permission from a thesis adviser to enroll. Recommended enrollment for two terms, one of which can be the summer. A maximum of 6 points of master’s thesis may count toward an M.S. degree, and additional research points cannot be counted. On completion of all master’s thesis credits, the thesis adviser will assign a single grade. Students must use a department-recommended format for thesis writing.
Finding the ground truth regarding the positioning, operations, and prospects of a company, country, resource pool, or investment opportunity is challenging. It is imperative to go beyond the numbers in financial statements with alternative data and information. In this course, we will learn to accept that no predefined formula exists to identify, quantify, and project a complex organization operating in a constantly evolving global environment.
We will highlight the importance of sufficiently framing questions for intelligence gathering and analysis. The act of questioning serves as the very foundation of any investigation, project, or research endeavor. It sharpens our focus, guides our inquiry, and lays the groundwork for meaningful and actionable answers. The power to shape our understanding of the world, businesses, consumers, and individual actors lies in the answers and data we gather and the quality and direction of the questions we pose.
The confidence to ask the right questions and break down the subject of the analysis and associated materials will be a vital component of the learning. The student will work with real datasets and benefit from direct advice, experience, and practical insights from portfolio managers, research analysts, consulting data analysts, and others to derive value from the world of information within their reach.
The combination of traditional and alternative data with the right real-world questions serves to forecast future outcomes. The overarching framework for applied learning will be:
• Collection: Framing the appropriate questions and sourcing information and data in context of the subject being evaluated.
• Evaluation: Understating the reliability of the data and validity of the information value as presented.
• Analysis: Applying methodologies and frameworks, including financial frameworks to transform the data for concise decisions.
• Reporting: Frameworks for pushing the data to subject models, including financial models, presenting the derived intelligence in a useable format.
• Distribution: Informing user, including oneself and integrating feedback on the outcomes.
This course guides the student in acquiring alternative data, extracting insight from it, using it for projections, contextual business model evaluation, and determining “unknown unknowns”. The learning journey is intended to be insightful, engaging, empowering, and supplement traditional data, such as financial statements for st
Broadly speaking, the goal of this class is to provide students with both the theoretical and practical knowledge to understand the current challenges in accounting for firms’ ESG goals. In this rapidly evolving field, the course will be structured in four modules:
- Module #1 reviews the need for sustainability accounting and provide an overview of the providers of ESG metrics and the limits of current
aggregated ESG data.
- Module #2 present various market-based mechanisms to create ESG standards
- Module #3 discusses regulatory initiatives to create ESG information for listed firms
- Module #4 departs from non-financial disclosure and discuss the limits of current accounting standards and introduce new developments to
incorporate ESG characteristics into traditional financial statements.
While ESG encompasses a vast body of topics, this class will draw examples and discuss about a diverse set of issues ESG, including carbon emissions, employees pay, employees labor-safety, and the role of consumers’ NGO, based on short examples or cases spanning different firms in different industries (e.g., wholesale, aviation) and different countries (e.g., USA, France, Japan).
This half-term course is composed of a mix of lectures, cases and online or in-person interventions by high profile industry guest speakers. The lectures are motivated by (1) rigorous recent academic studies drawing from the accounting literature, but also borrowing from adjacent fields including economics, finance, law and strategy and (2) practitioners notes and examples.
Who should take this course?
Students should take this course if they are interested in ESG in general and/or if they expect to use disclosure of non-financial information in their career. This is particularly relevant for students who want to pursue careers in finance (e.g., investment banking) where firms’ ESG footprint is becoming a scrutinized factor in M&A or investment decisions in general, as well as students going to careers in consulting where corporate decisions will more and more be benchmark against their ESG implications.
Please note that this course does not require students to have pre-existing knowledge about ESG.
The purpose of this course is to provide you with an overview of M&A strategies and an introduction to the structuring and accounting for deals. We will also learn how to model M&A transactions. This is an advanced and technical course. If reviewing arcane accounting and tax rules does not bring you joy, you are forewarned! You will see plenty of both in the course. During the course, we will focus on several themes:
1. Deal strategy
2. Deal valuations
3. Deal structuring – impact of tax and accounting rules
4. Common metrics used to evaluate deals and limitations of those metrics
5. Accounting and modeling of deals
This course is recommended for those who intend to work in the financial services area – it will be helpful for those looking for a career in banking, corporate advisory services, treasury or corporate/financial strategy.
Advising on M&A transactions requires a strong background in accounting and tax. This course will get into the minutiae of various accounting and tax aspects of M&A. I will expect you to be willing to do the deep dive, where required. It is expected that you
have already taken courses in financial accounting and corporate finance and are interested in accounting and tax. If you do not have a prior background in accounting and tax, you are strongly advised to check with the instructor before enrolling in this
course.
This is not a course in excel, excel tools/techniques or about excel add‐ins provided by data providers. There are many services provided by data providers and Wall Street Prep companies for those. This course will focus on the accounting, finance and
economics of evaluating deals and building models. Also, we assume that you are already proficient in Excel, since we will use a lot of Excel models in the course.
The purpose of this course is to provide you with an overview of LBO strategies and to introduce you to restructuring and the bankruptcy process. During the course, you will learn how to build a basic financial model and adapt it for LBO transactions. This is an advanced and technical course. If reviewing arcane accounting and legal rules does not bring you joy, you are forewarned! You will see plenty of both in the course. During the course, we will learn to:
1. Build a basic integrated financial models (IS, BS and CFS)
2. Adapt the financial model to study the effect of LBO transactions
3. Study the impact of different deal structures, accounting choices, operating assumptions and financing decisions on firm value, liquidity, profitability, returns and other financial metrics.
4. Learn about alternative exit and restructuring strategies.
5. Understand the bankruptcy process – debt restructuring and fresh start models.
Financial statements are meant to enable the reader to evaluate the performance of an enterprise, analyze its cash flows, and assess its financial position. Recently, widely publicized cases of misleading statements, which were nevertheless attested as to their fairness by outside auditors, resulted in improper revenue recognition, overstatement of income, and misrepresentation of financial position. There is a growing awareness of the importance of honest reporting as the foundation for investors' confidence in the integrity and proper functioning of the financial markets.
Full time research for doctoral students.
Conflict Resilience. Developing the comfort and skills necessary to respond to disagreements and mis-alignments is essential for leaders and stage managers. Through a series of discussions, experienced guests, reading, role-playing, and in-class exercises, this workshop style class will present an overview of Alternative Dispute Resolution (ADR) and Restorative Process theory and techniques with a practical focus on building our skills and comfort level to be able to reframe conflict as a chance for learning, understanding, and change.
Exceeding EDI. The impact of incorporating Equity, Diversity, Inclusion, Accessibility and Belonging into the commercial theater industry in a post George Floyd era. As stage managers, it is crucial that there is a framework for supporting the evolving identities and needs of the many populations present in a theater setting. Through a series of articles, in-class discussions, written reflections and conversations with working professionals, we will develop an understanding of a variety of social issues that currently exist in the industry while building a toolkit on how to navigate them.
Conflict Resilience. Developing the comfort and skills necessary to respond to disagreements and mis-alignments is essential for leaders and stage managers. Through a series of discussions, experienced guests, reading, role-playing, and in-class exercises, this workshop style class will present an overview of Alternative Dispute Resolution (ADR) and Restorative Process theory and techniques with a practical focus on building our skills and comfort level to be able to reframe conflict as a chance for learning, understanding, and change.
Exceeding EDI. The impact of incorporating Equity, Diversity, Inclusion, Accessibility and Belonging into the commercial theater industry in a post George Floyd era. As stage managers, it is crucial that there is a framework for supporting the evolving identities and needs of the many populations present in a theater setting. Through a series of articles, in-class discussions, written reflections and conversations with working professionals, we will develop an understanding of a variety of social issues that currently exist in the industry while building a toolkit on how to navigate them.
This seminar covers research on trading with fundamental information. It covers such topics as fundamental-based trading strategies, accounting anomalies in returns, accounting arbitrage, limits to arbitrage, factor investing, fundamental analysis and smart beta, research on accounting quality, and developing the appropriate accounting information on which to trade.
As a Stage Manager, collaborative leadership is a both a skill and an art. It is crucial to the success of any production. This involves understanding human behavior, developing effective communication skills, and fostering a holistic workplace environment. Contemporary stage managers need to develop “next practice” skills
in order to actively calibrate their important contribution to the art of creating theater. With practice and refinement, these skills become the foundation for stage managers to lead the people and the production.
The goal of the course is to explore a variety of forward-thinking topics that focus on the process of leading theatrical teams; by the end of the semester, students should have not only a better understanding of next practice theory, but methodologies and competencies that they can deploy in practice.
Prerequisites: JPNS W4007-W4008 or the equivalent, and the instructors permission.
.
Advanced topics at the discretion of the instructor, including string theory, supersymmetry and other aspects of beyond-standard-model physics.
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Prerequisites: PHYS G6037-G6038. Basic aspects of particle physics, focusing on the Standard Model.
In this course, we will examine a series of key writings on cinema and visual culture in Japan from the 1910s to the late 1960s. Major topics will include:
1. Cinema and its technology/technics (sound, color, and film form)
2. Cinema and its intersection with politics and aesthetics (Marxism and the Proletarian Film Movement, cinematic realism, colonialism, Third Worldism, and Japanese New Wave)
3. The articulations of cinema in broader intellectual, technological, socio-cultural, and institutional discourse (film education, documentary, and
bunka eiga
)
In an attempt to explore the transitional position of cinema and media culture in Japanese cultural history, the course also critically approaches contact points between cinema, theatre (especially
shingeki
), literature, photography, and television. All mandatory readings each week will be primary sources in Japanese, and additional scholarly and/or theoretical writings in English will also be assigned or provided for reference.
In this seminar, we will examine the elements of a history of gender and sexuality in the
Hellenistic period. The topic of gender and history has been extensively studied for Archaic
and Classical Greece, but not for the Hellenistic: symptomatic (and influential) is the way M.
Foucault moves from Plato to Plutarch, erasing the intervening four centuries. We will
examine the consolidation and evolution of a particular “normal” form of sexuality (centred
on the structural opposition between marriage and “queer spaces”), then examine a particular
region (Ptolemaic Egypt) to try to reconceive in terms of gender familiar themes such as
monarchy, colonization, and Hellenization.
Collaboration Studio is meant to foster and encourage creative relationships between and among the six concentration that comprise the Columbia MFA Theatre Program.
The goal of the class is to celebrate the process and presentation of new work.
Success is defined by a desire by all participants for working relationships to extend beyond the class and into the world-at-large.
The internship course provides a substantive opportunity for students to practice applying their expertise and skills in a real world setting. The course allows students to work with practitioners and public health/healthcare experts to explore their interests in more depth and to expand their knowledge of current environments in their fields. Students will reflect on their interests, values, and skills and how their internship, past experiences, and studies align with their goals. The course will provide the opportunity for reflection on work advancement, progress of skill development, connection to current coursework, and exposure to areas within their field. The course includes self-reflection and career interests assessment exercises, and builds on communication skills to train students to respond to challenging questions that they may encounter in the job search process. The seminar provides a supportive framework designed to enhance students’ applied, field-based learning experience by exploring common themes encountered in the fieldwork setting. The seminar will address the public health core competencies of leadership, communication, professionalism, systems thinking, interprofessional education. Learning objectives include: • Describe the Theory of Vocational Choice by John Holland and explain how it can help you choose a career in alignment with your interests. • Prioritize your career interests, values, and mission areas of interest and describe how they relate to your current internship. • Identify three current job descriptions that match your interests, values, and mission areas of interest. • Write at least three effective bullet points for your resume based on your current internship and based on your job market research. • List 3 sources of salary and job market research and information. • Negotiate your salary. • Communicate your short term and long term goals and three steps you plan to take to achieve them. • Describe how your internship has contributed towards your achievement of these goals.
PREREQUISITES AND PERMISSION: Students must submit a letter from their employer following the guidelines at https://isso.columbia.edu/sites/default/files/content/sampleletters/CPTemploymentsample.pdf to
hk2778@cumc.columbia.edu
in order to obtain permission to enroll in this course. If you are continuing an internship with the same organization where you completed your required APEx or internship,
Sec. 1: Ethnomusicology; Sec. 2: Historical Musicology; Sec. 3: Music Theory; Sec. 4: Music Cognition; Sec. 5: Music Philosophy.
This course will provide an introduction to the basics of regression analysis. The class will proceed systematically from the examination of the distributional qualities of the measures of interest, to assessing the appropriateness of the assumption of linearity, to issues related to variable inclusion, model fit, interpretation, and regression diagnostics. We will primarily use scalar notation (i.e. we will use limited matrix notation, and will only briefly present the use of matrix algebra).
This course is open to all graduate students in English and Comparative Literature in year 5 and beyond. The course, which students may take for R-credit, has several aims. It will help you: sharpen the focus of your dissertation and clarify the nature of its contribution; expand your scholarly profile, illuminating the breadth of what you have to offer academic life; and launch activities that can make your potential contributions visible and legible. We will look closely at the kinds of materials you will circulate on the job market: cover letters,
CVs
, teaching statements, research statements, portfolios showing “evidence of teaching effectiveness,” and more. We will workshop these in the seminar, while also practicing the oral forms you will encounter in the job market: interviews, presentations, job talks. At the same time, one of the central aims of the seminar is to help you develop your sense of who you are as a scholar, teacher, and member of the profession more broadly, expand the universe of professional possibilities, and highlight the richness of your potential contributions.
Preparing yourself for the academic job market can be emotionally wrenching, but it can also be exciting. The seminar will serve not only as a workshop but as a supportive community of scholars, teachers, readers, and writers helping one another envision the work they might do and, at the same time, remember why it matters.
This class brings business operations and management science classes to the field with real-world experience. Through experiential learning, we will bridge the gap between theory and practice with international case discussions, conversations with guest speakers and hands-on company sponsored projects. Different to most classes in the school, in this class students will be exposed to a series of international cases and examples based on medium-sized, fast-growing entrepreneurial ventures. Each session will also include a guest speaker, often times the protagonist of the case studied, giving the students the opportunity to learn directly from successful entrepreneurs and senior executives.
Additionally, students will put into practice the concept of process improvement by working on a company-sponsored applied project. Teams of 4-5 people, 3-4 MBA/EMBA students and 1-2 engineering (SEAS) students, will work hand in hand with the instructors and company representatives to achieve company goals. For example, teams may be tasked with re-designing the logistical strategy of distribution of the company to get rid of inefficiencies, or identify and find strategies to eliminate areas of waste within the companies’ processes, or analyze customer feedback and design operational solutions to increase customer satisfaction, etc.
Enrollment in this course is by application only. To apply, please follow this link: https://forms.gle/EG6buNZqQYEgN2EH9
This seminar explores key texts of twentieth-century anticolonial political thought and its postcolonial interpretation. It is an advanced course in political theory for graduate students. Over the last twenty years, postcolonial approaches to political theory have challenged many of the traditional categories and assumptions of western political thought. Some contend that theories inherited from Western social and political thought cannot adequately speak to the political experiences of the non-Western world. Others have been sharply critical of the complicity of Western political thought and modern practices of imperialism, slavery, and global inequality. This seminar aims to investigate the various challenges that postcolonial theorists pose to political theory and to offer critical assessments of the possibilities and limitations of this perspective. We will do so by reading key anticolonial texts alongside major postcolonial interpretations of these texts. We will compare how anticolonial texts and their postcolonial interpreters engage with questions of political theory – such as the relationship between universality and freedom, revolution and history, violence and power, progress and emancipation – in light of the legacy of colonialism and the promise of decolonization.
Students meet with the professor and pave the transition from graduate students to seeing themselves as artists with a long term working creative perspective beyond academia. The professor will work to contextualize the students body of work in the arena of an international art conversation. VISUAL ART LAB will be led by Sarah Sze in the Spring.
Schedule:
Priority will be given to all second-year students who submit a short presentation of their work. Should there be remaining room for first year students they will be admitted upon review. To apply please submit a brief description of work, current research and interest in taking the seminar, along with 5 - 10 images. There will be one half hour meeting for each student with professor Sze throughout the Spring Semester.
Requirements:
Rigorous development of students' own body of work.
The main objective of this course is to provide Columbia University's Clinical & Translational Science award trainees, students, and scholars with skills and knowledge that will optimize their chances of entering into a satisfying academic career. The course will emphasize several methodological and practical issues related to the development of a science career. The course will also offer support and incentives by facilitating timely use of CTSA resources, obtaining expert reviews on writing and curriculum vitae, and providing knowledge and resources for the successful achievement of career goals.
This course extends and deepens the material you learned in business analytics. We will apply these methods in more unstructured and diverse situations, introduce new analytics tools and methods (including Tableau Visualization, text mining, and random forests), and study a modern framework for overfitting reduction called regularization that underlies much of modern machine learning. This course does not require coding or knowledge beyond Business Analytics, but the mathematical sophistication level will be somewhat more advanced.
With the explosion of “Big Data” problems, statistical learning has become a very hot field in many scientific areas. The goal of this course is to provide the training in practical statistical learning. It is targeted to MS students with some data analysis experience.
This course covers a review of mathematical statistics and probability theory at the Masters level. Students will be exposed to theory of estimation and hypothesis testing, confidence intervals and Bayesian inference. Topics include population parameters, sufficient statistics, basic distribution theory, point and interval estimation, introduction to the theory of hypothesis testing, and nonparametric procedures.
This course will introduce the statistical methods for analyzing censored data, non-normally distributed response data, and repeated measurements data that are commonly encountered in medical and public health research. Topics include estimation and comparison of survival curves, regression models for survival data, logit models, log-linear models, and generalized estimating equations. Examples are drawn from the health sciences.
A comprehensive overview of methods of analysis for binary and other discrete response data, with applications to epidemiological and clinical studies. It is a second level course that presumes some knowledge of applied statistics and epidemiology. Topics discussed include 2 × 2 tables, m × 2 tables, tests of independence, measures of association, power and sample size determination, stratification and matching in design and analysis, interrater agreement, logistic regression analysis.
This elective course covers accounting tools useful to consultants, as well as for students with an interest in a firm’s finance function, general management, or private equity.
There will be a particular focus on performance measurement and management.
Performance measurement is a key determinant of success for today’s companies that sell a wide range of products and services to a wide range of customers differentiated in their needs. While financial accounting (GAAP) information is a useful shortcut toward gaining some understanding of a firm’s financial health, consultants and managers need a more solid understanding of the firm’s strategy and mission, as well as disaggregated information that helps assess how the firm is performing along its strategic objectives.
There is overlap between this course and the half-semester course “Financial Planning & Analysis (FP&A)” course. This course expands on many of the concepts taught in FP&A and supplements them with industry insights and guest speakers. For this reason, this course is mutually exclusive with the elective course “B8007 – Financial Planning & Analysis”. If you have taken FP&A, you will not be able to enroll in this course for credit. Please contact me immediately in case of such a conflict.
The following specific topics will be addressed:
• Profitability analysis to assess individual products
• Customer relationship management using customer lifetime value (CLV)
• Budgeting and variances
• Performance evaluation for profit centers and investment centers
• Performance-based pay: team incentives, relative performance evaluation, etc.
• Corporate governance: the C-suite and the role of compensation consultants
• The “War of Metrics”: Cash Flow, EVA, Balanced Scorecards, etc.
• Innovative ways to deviate from GAAP rules to better measure value creation
• Issues specific to multinational enterprises (MNEs), e.g., taxation
• Industry-specific insights: performance measurement in key industries
This course analyzes the unique characteristics and strategies of investing in the healthcare sector from the perspectives of venture capital firms investing in early-stage healthcare enterprises, entrepreneurs creating and managing such business entities, and private equity firms seeking to build value-creating health care platforms. The course is focused on innovative business models of early to mid-stage healthcare services companies (payers, providers, HCIT firms) that improve quality of patient care, lower costs, and facilitate access to such services, as well as the opportunities and challenges of early-stage biotechnology companies discovering and developing novel compounds. It considers how investors and entrepreneurs can assess, value and manage the inherent risks to succeed in this large, complex, and dynamic sector. This course will address these issues through a mixture of lectures, case studies, and guest speakers (investors and entrepreneurs) from the healthcare sector. Note: Some understanding and prior experience in the healthcare/pharma industry will be highly useful. Students need to attend the first class session to understand material covered later in the course. Evaluation is 25% class participation, 25% mid-term assignment (short paper on questions or case study), and 50% final (individual) paper. "
Regression analysis is widely used in biomedical research. Non-continuous (e.g., binary or count-valued) responses, correlated observations, and censored data are frequently encountered in regression analysis. This course will introduce advanced statistical methods to address these practical problems. Topics include generalized linear models (GLM) for non-Gaussian response, mixed-effects models and generalized estimating equations (GEE) for correlated observations, and Cox proportional hazards models for survival data analysis. Examples are drawn from biomedical sciences.
This course explores the theoretical foundations underlying the models and techniques used in mathematical genetics and genetic epidemiology. Topics include use and interpretation of likelihood methods, formulation of mathematical models, segregation analysis, ascertainment bias, linkage analysis, genetic heterogeneity, and complex genetic models. The course includes lectures, discussions, homework problems, and a final exam. My single most important objective for this course is for students to be able to break down any mathematical modeling problem logically into all its component parts, to express each part" accurately, and to know how to "add" all the pieces back up and to check the accuracy of their result."
Students in this course will learn and practice the fundamental methods and concepts of the randomized clinical trial: protocol development, randomization, blindedness, patient recruitment, informed consent, compliance, sample size determination, crossovers, collaborative trials. Each student prepares and submits the protocol for a real or hypothetical clinical trial.
TBD
This class will focus on how analytics have generated value in a broad range of industries. Each class will be taught by a different faculty member with specific subject matter expertise and will focus on one specific industry and on how it has been transformed through the use of analytics.
DROMB8152
This course will cover some of the fundamental product decisions together with the basic analytic and data science tools to support them that are currently being used to run the most exciting online marketplaces in the world. More specifically, among others, we will address the following questions: How does Uber or Lyft match drivers to passengers? How does Airbnb select the set of listings to show to a guest in a search? How can we build an algorithmic, scalable reputation and trust system in an e-commerce platform such as Amazon? How should advertisers optimize their decisions in today’s online advertising marketplaces run by Google and others?
Verticals of interest include the following:
• Matching platforms like those for ride-hailing, lodging, dating, labor, and food delivery.
• Internet advertising platforms including search engine advertising, display advertising, and sponsored products.
• Retail platforms including those for physical goods like Amazon, Etsy, and possibly also those for virtual goods like the App Store/Play Store and gaming platforms.
As statistical models become increasingly complex, it is often the case that exact or even asymptotic distributions of estimators and test statistics are intractable. With the continuing improvement of processor speed, computationally intensive methods have become invaluable tools for statisticians to use in practice. This course will cover the basic modern statistical computing techniques and how they are applied in a variety of practical situations. Topics to be covered include numerical optimization, random number generation, simulation, Monte Carlo integration, permutation tests, jackknife and bootstrap procedures, Markov chain Monte Carlo methods in Bayesian settings, and the EM algorithm.
AI Agents and the Future of Business explores one of the most transformative shifts in modern enterprise: the rise of autonomous AI systems that think, act, and collaborate to achieve business goals. As artificial intelligence evolves from predictive models to agentic systems, organizations are redesigning how decisions are made, how workflows operate, and how value is created.
Unlike traditional large language models that respond to prompts, AI agents pursue goals. They perceive their environment, reason about tasks, use tools and APIs, maintain memory, and adapt dynamically to feedback. These capabilities are reshaping enterprise productivity, decision-making authority, and organizational structure.
This course blends strategy and studio. Students will examine agentic architectures (tool use, memory, orchestration, multi-agent coordination), analyze real enterprise deployments, and prototype or evaluate AI-agentic workflows using low-code tools. Through simulations, interactive discussions, and a final team project, students will develop the managerial and strategic literacy required to lead in the emerging agentic economy.