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❶Were there ideological connections? Flops and Equivalences of derived Categories for Threefolds with only terminal Gorenstein Singularities.

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On the degree of convergence and overconvergence of polynomials of best simultaneous approximation to several functions analytic in distinct regions.

Sufficient conditions in the problem of the calculus of variations in n-space in parametric form and under general end conditions. Infinite systems if ordinary differential equations with applications to certain second order non-linear partial differential equations of hyperbolic type. On rigid motions in four dimensions with applications to the Laguerre geometry of three dimensions.

On the location of the roots of the Jacobian of two binary forms and of the derivative of a rational function. Ordinary linear homogeneous differential equations of order n and the related expansion problems. A method of series in elastic with applications I to circular plates of constant or variable thickness. Expansion theorems for solution of a Fredholm homogeneous integral equation of the second kind with kernel of non-symmetric type. The general theory of the linear partial q-difference equation and of the linear partial difference equation of the intermediate type.

The determination of the coefficients in interpolation formulae and a study of the approximate solution of integral equations. Problems in the theory of ordinary linear differential equations with auxiliary conditions at more than two points.

On the functions of a complex variable defined by an ordinary differential equation of the first order and first degree. Problems connected with linear difference equations of the second order with special reference to equations with periodic coefficients. Binary Families in a triply connected region with especial reference to hypergeometric families. Regular singular points of a system of homogeneous linear differential equations of the first order.

On linear differential equations of the third and fourth orders in whole solutions exist certain homogeneous relations. Surfaces having the principal radii of curvature at each point numberically equal but of opposite sign. Guided by the goal of having a transformative impact on education research, policy, and practice, you will focus on independent research in various domains, including human development, learning and teaching, policy analysis and evaluation, institutions and society, and instructional practice.

You will assume roles as university faculty, researchers, senior-level education leaders, and policymakers. You will choose your individual coursework and design your original research in close consultation with your HGSE faculty adviser and dissertation committee. The requirements listed below include the three Ph.

The colloquia convenes weekly and features presentations of work-in-progress and completed work by Harvard faculty, faculty and researchers from outside Harvard, and Harvard doctoral students. Research Apprenticeship The Research Apprenticeship is designed to provide ongoing training and mentoring to develop your research skills throughout the entire program. Teaching Fellowships The Teaching Fellowship is an opportunity to enhance students' teaching skills, promote learning consolidation, and provide opportunities to collaborate with faculty on pedagogical development.

In CIS, you will examine the broader cultural, institutional, organizational, and social contexts relevant to education across the lifespan. What is the value and purpose of education? How do cultural, institutional, and social factors shape educational processes and outcomes? How effective are social movements and community action in education reform? How do we measure stratification and institutional inequality?

In CIS, your work will be informed by theories and methods from sociology, history, political science, organizational behavior and management, philosophy, and anthropology.

You can examine contexts as diverse as classrooms, families, neighborhoods, schools, colleges and universities, religious institutions, nonprofits, government agencies, and more. In EPPE, you will research the design, implementation, and evaluation of education policy affecting early childhood, K—12, and postsecondary education in the U. You will evaluate and assess individual programs and policies related to critical issues like access to education, teacher effectiveness, school finance, testing and accountability systems, school choice, financial aid, college enrollment and persistence, and more.

Your work will be informed by theories and methods from economics, political science, public policy, and sociology, history, philosophy, and statistics. In HDLT, you will work to advance the role of scientific research in education policy, reform, and practice. New discoveries in the science of learning and development — the integration of biological, cognitive, and social processes; the relationships between technology and learning; or the factors that influence individual variations in learning — are transforming the practice of teaching and learning in both formal and informal settings.

Whether studying behavioral, cognitive, or social-emotional development in children or the design of learning technologies to maximize understanding, you will gain a strong background in human development, the science of learning, and sociocultural factors that explain variation in learning and developmental pathways. Your research will be informed by theories and methods from psychology, cognitive science, sociology and linguistics, philosophy, the biological sciences and mathematics, and organizational behavior.

The most remarkable thing about the Ph. Program enrolled its last class in fall and the Ph.

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Dissertations are also deposited with ProQuest’s databases and become accessible to subscribers of ProQuest Dissertation & Theses Global. If necessary, students may request to delay the release of (“embargo”) their work when submitting their dissertation to ETDs @ Harvard.

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Networked Digital Library of Theses and Dissertations (NDLTD) is an international organization dedicated to promoting the adoption, creation, use, dissemination, and preservation of electronic theses and dissertations (ETDs). NDLTD is the biggest consortium worldwide for online dissertations. Dissertation Non-Resident Doctoral Status (Dissertation Work in Absentia) Doctoral students occasionally need to perform dissertation research in absentia (outside the Boston metropolitan area).

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Students defend their dissertation before it is approved by the dissertation defense committee.* The defense committee consists of the student’s dissertation committee plus one additional member drawn from the History Department, another Harvard department, or outside the University. We present here dissertations on topics in Atlantic history, ongoing or recently completed. The site operates by a combination of solicitation and self-submission; we try to be on the lookout for dissertations in the field, but we strongly encourage those of you working in Atlantic History in the early modern period to send an abstract to us.