The Courant Institute of Mathematical science is an independent division of New York University under the Faculty of Arts & Science that serves as a center for research and advanced training in computer science and mathematics. The Director of the Courant Institute directly reports to New York University's Provost and President and works closely with deans and directors of other NYU colleges and divisions respectively. The Courant Institute is named after Richard Courant, one of the founders of the Courant Institute and also a mathematics professor at New York University from 1936 to 1972.The Courant Institute is considered one of the most prestigious and leading mathematics schools and mathematical science research centers in the world. It is ranked #1 in applied mathematical research, #5 in citation impact worldwide, and #12 in citation worldwide. On the Faculty Scholarly Productivity Index, it is ranked #3 with an index of 1.84. It is also known for its extensive research in pure mathematical areas, such as partial differential equations, probability and geometry, as well as applied mathematical areas, such as computational biology, computational neuroscience, and mathematical finance. The Mathematics Department of the Institute has 18 members of the United States National Academy of science and five members of the National Academy of Engineering. Four faculty members have been awarded the National Medal of Science, one was honored with the Kyoto Prize, and nine have received career awards from the National Science Foundation. Courant Institute professors Peter Lax, S. R. Srinivasa Varadhan, Mikhail Gromov won the 2005, 2007 and 2009 Abel Prize respectively for their research in partial differential equations, probability and geometry. Louis Nirenberg received the Chern Medal in 2010, and Subhash Khot won the Nevanlinna Prize in 2014.The undergraduate programs and graduate programs at the Courant Institute are run independently by the Institute, and formally associated with the NYU College of Arts and Science and NYU Graduate School of Arts and Science respectively. Wikipedia.
Holmes-Cerfon M.,Courant Institute of Mathematical Sciences
Annual Review of Condensed Matter Physics | Year: 2017
Nano- and microscale particles, such as colloids, commonly interact over ranges much shorter than their diameters, so it is natural to treat them as "sticky," interacting only when they touch exactly. The lowest-energy states, free energies, and dynamics of a collection of n particles can be calculated in the sticky limit of a deep, narrow interaction potential. This article surveys the theory of the sticky limit, explains the correspondence between theory and experiments on colloidal clusters, and outlines areas where the sticky limit may bring new insight. © 2017 by Annual Reviews. All rights reserved.
News Article | May 8, 2017
NEW YORK--(BUSINESS WIRE)--New York University Stern School of Business is launching a new category of specialized MBA, optimized for MBA seekers who are firmly committed to business careers either in technology or in fashion and luxury. Stern’s new Tech MBA and Fashion & Luxury MBA will enable students to build applicable knowledge, gain relevant real-world experience and earn their MBA in one year. The program structure consists of four components: a business core; a technology or fashion and luxury core; real-world experiential learning projects with organizations in the respective specialty areas; and electives. Given Stern’s proximity to multinational brands, start-ups and nonprofits, the School has offered experiential learning projects to its MBA students for more than 15 years. The Stern approach matches students with faculty to help an organization solve a real business challenge in real time. Stern MBAs have engaged with companies ranging from Diane Von Furstenberg to MasterCard to HBO and more, with student participation in projects growing by more than 130 percent in the past two years alone. With the establishment of the new focused MBAs that will incorporate real-world business projects as an essential element of the curriculum, Stern is elevating its commitment to experiential learning and branding it Stern Solutions. “Because we sit in the heart of the business ecosystem that is New York City, with global headquarters and new economy upstarts just outside our doors, we are in constant conversation with industry about developing future talent," said Peter Henry, Dean, NYU Stern. "This dialogue drives continuous innovation at Stern, such as establishing the first FinTech MBA specialization at a business school last year to creating new specialized MBA programs now, so we stay as relevant to the new economy as we are to Wall Street." Stern developed these programs through extensive conversations and in conjunction with industry advisors, including business leaders from Amazon, BuzzFeed, Citigroup and General Catalyst, to cite a few organizations. Many officially joined the newly formed Advisory Boards (see below for the complete list), and all will partner on future Stern Solutions projects. The inaugural classes for the Tech MBA and Fashion & Luxury MBA will enroll at Stern in May 2018. Students will take 51 credits over 12 months and earn an MBA degree from Stern in one year. “Stern’s Tech MBA and Fashion & Luxury MBA are intentionally designed for a specific type of MBA candidate, one with a definitive career focus and a passion for these fields,” said Raghu Sundaram, Vice Dean for MBA Programs and Online Learning. “These new MBAs provide broad exposure to core business areas with a depth of focus on the specialty area through an efficient schedule, reducing the opportunity cost with a more affordable MBA option.” The Tech MBA is designed for business candidates with strong technology backgrounds. The program will prepare students to advance their careers in Product Management, FinTech and Tech Entrepreneurship across various industries. The program’s tech core was designed in partnership with NYU’s Courant Institute of Mathematical Sciences; NYU Stern is itself home to one of the largest faculty of computer and data scientists among business schools and will bring all these strengths to bear in the Tech MBA. Stern is the first US business school to offer a Fashion & Luxury MBA. Over the past several years, the fashion and luxury industries have increasingly acknowledged the competitive advantage of adding business-educated talent to their creative ranks especially in the face of technological disruption. This program is designed for students with a commitment to management roles throughout these sectors—accessories, apparel, beauty, jewelry, high-end automotive, fine wines and spirits, real estate, wearable tech and more. They will also have access to the Stern Fashion Lab, a new central hub being established for industry-related projects and networking for all Stern students. About New York University Stern School of Business New York University Stern School of Business, located in the heart of Greenwich Village, is one of the nation’s premier management education schools and research centers. NYU Stern, whose faculty includes three Nobel Laureates in Economics, offers a broad portfolio of programs at the graduate and undergraduate levels, all of them enriched by the dynamism, energy and deep resources of one of the world’s business capitals. Visit www.stern.nyu.edu and follow NYU Stern on Twitter: @NYUStern. Statements from Members of the NYU Stern Tech MBA and Fashion Lab Advisory Boards “In our line of work, there is an acute need for people who understand both business and technology. The Stern Tech MBA is primed to develop this type of talent.” -- Don Callahan, Head of Technology & Operations, Citigroup "Understanding how technology is reshaping our world is essential knowledge for any aspiring entrepreneur. NYU Stern’s new Tech MBA program combines immersive coursework in technology with the essential skills for people joining the business world to put those insights to use." -- Jared Cohen, Founder and CEO, Jigsaw; Advisor to the Executive Chairman of Alphabet Inc. “I'm thrilled to be working closely with Stern to help cultivate the next generation of tech leaders. The great work and inspired thinking of young people in technology has a tremendous impact on countless businesses across multiple industries – including the media industry – around the world.” -- Greg Coleman, President, BuzzFeed “Successful brands are constantly innovating their use of changing technology to attract and retain loyal customers. I believe Stern's new Tech MBA will help prepare future leaders to address that challenge, and bring technology and business strategy together in exciting and new ways.” -- Michelle Peluso, Chief Marketing Officer, IBM Corporation “I’m excited to serve on NYU Stern’s board and advise on how NYU’s top-tier business school can continue producing students who are at the forefront of tech and business. Stern alumni are adding tremendous value at companies like Amazon, and I’m looking forward to joining their board.” -- Maria Renz, Vice President Delivery Experience and Robotics, Amazon "To realize the full potential of the rapidly growing FinTech industry, we need to equip future business leaders with the skills necessary to drive innovation and impact at scale. Stern is taking an exciting and needed step with its new Tech MBA and FinTech program. Graduates of the program will undoubtedly be an important factor in shaping the future of the FinTech sector.” -- Dan Schulman, President and CEO, PayPal “Today’s business environment requires an appreciation and understanding for how technology can be applied to solve real business problems. We are pleased to partner with Stern on this innovative and practical approach to preparing the next generation of tech-savvy business leaders and entrepreneurs.” -- Umesh Subramanian, Co-head of the Technology Division, Goldman Sachs “NYU Stern’s new Tech MBA program will fulfill an unmet industry need by preparing the next generation of leaders to embrace technological change and the new opportunities that enables. Stern has always offered a unique experience blending business, technology and academic pursuits with the industry and culture of New York City. My time as a student at NYU was transformative for both my life and my career.” -- Jeff Teper, Corporate Vice President, Office, OneDrive & SharePoint at Microsoft "The world is filled with promising designers who start labels that fail because they lack the business acumen to transform their innovations into viable businesses. By developing business talent that understands the creative side, NYU Stern will help close this gap by encouraging the kind of collaboration upon which successful brands are built." -- Simon Collins, Former Dean, School of Fashion, Parsons School of Design; Founder, Fashion Culture Design Unconference “NYU Stern Fashion Lab will be a nexus for fashion brands, retailers and media to come together with students, faculty, designers, technologists and entrepreneurs during this time of incredible disruption, and will play a valuable role in the Fashion & Luxury MBA student experience.” -- Joseph Ferrara, Co-founder, NYU Stern Fashion Lab; Co-founder and Co-CEO, Resonance Companies; CEO, Ferrara Manufacturing Company "Our goal is to be a platform for dialog, learning and action for the innovators who will embrace and drive future changes in the fashion industry." -- Lawrence Lenihan, Co-founder, NYU Stern Fashion Lab; Co-founder and Co-CEO, Resonance Companies; Founder, FirstMark Capital
Marx D.,Ruhr University Bochum |
Chandra A.,Indian Institute of Technology Kanpur |
Tuckerman M.E.,Courant Institute of Mathematical Sciences
Chemical Reviews | Year: 2010
A scientific review informed about the anomalous diffusion of hydroxide in basic solutions OH-. The discussion was initiated with a review of structural diffusion of H+ in acidic solutions, enabling a comparison to be made. The presentation was based on the formal and unifying 'presolvation concept' that was explained within the context of the H+ diffusion process. A theoretical formalism was used by the researchers to connect the qualitative predictions of the presolvation concept to actual mechanisms and the resulting kinetics in quantitative detail. The theoretical formalism allowed structural diffusion to be analyzed on the basis of appropriately defined population correlation functions. This theoretical framework led to consistent sets of various lifetimes and rates for OH- that were directly compared to H+.
Kidston J.,Princeton University |
Gerber E.P.,Courant Institute of Mathematical Sciences
Geophysical Research Letters | Year: 2015
Future climate predictions by global circulation models in the Coupled Model Intercomparison Project Phase 3 (CMIP3) archive indicate that the recent poleward shift of the eddy-driven jet streams will continue throughout the 21st century. Here it is shown that differences in the projected magnitude of the trend in the Southern Hemisphere are well correlated with biases in the latitude of the jet in the simulation of 20th century climate. Furthermore, the latitude of the jet in the models' 20th century climatology is correlated with biases in the internal variability of the jet stream, as quantified by the time scale of the annular mode. Thus an equatorward bias in the position of the jet is associated with both enhanced persistence of the annular mode, and an increased poleward shift of the jet. These relationships appear to be robust throughout the year except in the austral summer, when differences in forcing, particularly stratospheric ozone, make it impossible to compare the response of one model with another. These results suggest that the fidelity of a model's simulation of the 20th century climate may be related to its fitness for climate prediction. The cause of this relationship is discussed, as well as the implications for climate change projections. Copyright © 2010 by the American Geophysical Union.
E W.,Princeton University |
Vanden-Eijnden E.,Courant Institute of Mathematical Sciences
Annual Review of Physical Chemistry | Year: 2010
Transition-path theory is a theoretical framework for describing rare events in complex systems. It can also be used as a starting point for developing efficient numerical algorithms for analyzing such rare events. Here we review the basic components of transition-path theory and path-finding algorithms. We also discuss connections with the classical transition-state theory. Copyright © 2010 by Annual Reviews. All rights reserved.
Boureau Y.-L.,Courant Institute of Mathematical Sciences |
Dayan P.,University College London
Neuropsychopharmacology | Year: 2011
Affective valence lies on a spectrum ranging from punishment to reward. The coding of such spectra in the brain almost always involves opponency between pairs of systems or structures. There is ample evidence for the role of dopamine in the appetitive half of this spectrum, but little agreement about the existence, nature, or role of putative aversive opponents such as serotonin. In this review, we consider the structure of opponency in terms of previous biases about the nature of the decision problems that animals face, the conflicts that may thus arise between Pavlovian and instrumental responses, and an additional spectrum joining invigoration to inhibition. We use this analysis to shed light on aspects of the role of serotonin and its interactions with dopamine. © 2011 Nature Publishing Group All rights reserved.
Buhler O.,Courant Institute of Mathematical Sciences
Annual Review of Fluid Mechanics | Year: 2010
This article reviews the methods of wave-mean interaction theory for classical fluid dynamics, and for geophysical fluid dynamics in particular, providing a few examples for illustration. It attempts to bring the relevant equations into their simplest possible form, which highlights the organizing role of the circulation theorem in the theory. This is juxtaposed with a simple account of superfluid dynamics and the attendant wave-vortex interactions as they arise in the nonlinear Schrödinger equation. Here the fundamental physical situation is more complex than in the geophysical case, and the current mathematical understanding is more tentative. Classical interaction theory might be put to good use in the theoretical and numerical study of quantum fluid dynamics. Copyright © 2010 by Annual Reviews. All rights reserved.
Shelley M.J.,Courant Institute of Mathematical Sciences |
Zhang J.,Courant Institute of Mathematical Sciences
Annual Review of Fluid Mechanics | Year: 2011
The flapping or bending of a flexible planar structure in a surrounding fluid flow, which includes the flapping of flags and the self-streamlining of flexible bodies, constitutes a central problem in the field of fluid-body interactions. Here we review recent, highly detailed experiments that reveal new nonlinear phenomena in these systems, as well as advances in theoretical understanding, resulting in large part from the rapid development of new simulation methods that fully capture the mutual coupling of fluids and flexible solids. © 2011 by Annual Reviews. All rights reserved.
Laing C.,Courant Institute of Mathematical Sciences |
Schlick T.,Courant Institute of Mathematical Sciences
Current Opinion in Structural Biology | Year: 2011
RNA molecules are important cellular components involved in many fundamental biological processes. Understanding the mechanisms behind their functions requires RNA tertiary structure knowledge. Although modeling approaches for the study of RNA structures and dynamics lag behind efforts in protein folding, much progress has been achieved in the past two years. Here, we review recent advances in RNA folding algorithms, RNA tertiary motif discovery, applications of graph theory approaches to RNA structure and function, and in silico generation of RNA sequence pools for aptamer design. Advances within each area can be combined to impact many problems in RNA structure and function. © 2011 Elsevier Ltd.
Khot S.,Courant Institute of Mathematical Sciences
Proceedings of the Annual IEEE Conference on Computational Complexity | Year: 2010
This article surveys recently discovered connections between the Unique Games Conjecture and computational complexity, algorithms, discrete Fourier analysis, and geometry. © 2010 IEEE.