Courses and Events for Math Students and Early Career Researchers in the United States (USA)

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Title
ICERM Semester Program on Singularities and Waves In Incompressible Fluids
30 Jan 2017 - 05 May 2017 • Providence, United States
Abstract
Incompressible fluids are an abundant source of mathematical and practical problems. The question of global-in-time regularity versus finite-time singularity formation for incompressible fluids, governed by the Navier-Stokes or Euler equations, has been one of the most challenging outstanding problems in applied PDE. There have also been new developments in the study of the onset of turbulence due to linear and nonlinear instabilities in incompressible fluids. Interfacial and surface water waves are physical phenomena that, in addition to the challenges outlined above, involve the evolution of free boundaries. These problems embody many of the mathematical challenges found in studies of nonlinear PDEs.

Progress on these topics is possible because of advances in analysis, numerical computations and physical experiments. In addition, ocean field observations provide a reality test to all conclusions and invite new problems to be addressed. In this program, we provide a venue for interaction among researchers engaged in all of these problem-solving techniques to focus on topics arising in incompressible fluids.

Topics of particular interest include: singularity formation, stability and bifurcation; the modeling and analysis of simplified phenomenological models for the description of coherent structures; and time-dependent and steady free boundary problems including water waves, vortex sheets, capillary problems with contact lines and viscous waves with boundary layers.

Contact
Danielle Izzi;     Phone: [401-863-5030];     Email: danielle_izzi@icerm.brown.edu
Event listing ID
734345
Title
"A view toward algebraic geoemtry"
01 May 2017 - 05 May 2017 • Martha's Vineyard, MA, United States
Abstract
"A view toward algebraic geoemtry" (in honor of David Eisenbud's 70th birthday), at the Harbor View Hotel.
Event listing ID
847899
Related subject(s)
Title
Summer Graduate School:Commutative Algebra and Related Topics
22 May 2017 - 02 Jun 2017 • Mathematical Sciences Research Institute, Berkley, United States
Abstract
The purpose of the school will be to introduce graduate students to foundational results in commutative algebra, with particular emphasis of the diversity of the related topics with commutative algebra. Some of these topics are developing remarkably in this decade and through learning those subjects the graduate students will be stimulated toward future research.
Event listing ID
835218
Related subject(s)
Title
ICERM Topical Workshop: Probabilistic Scientific Computing: Statistical inference approaches to numerical analysis and algorithm design
05 Jun 2017 - 09 Jun 2017 • Providence, RI, United States
Abstract
There is an urgent and unmet need to formally analyze, design, develop and deploy advanced methods and algorithms that can scale in statistical and computational efficiency to the size of modern data sets and the complexity of contemporary mathematical models. Addressing this need will require a holistic approach involving new foundational theory, algorithms, and programming language design.
Event listing ID
882416
Title
Transforming Analytical Learning in the Era of Big Data
05 Jun 2017 - 14 Jul 2017 • The University of Michigan School of Public Health, United States
Abstract
This full-time 6-week summer institute will introduce undergraduate students to emerging challenges at the intersection of Big Data, Statistics, and Human Health. Lectures will be led by a diverse group of stellar biostatistics, statistics, electrical engineering, and computer science faculty at the University of Michigan. Working in teams, students will participate in mentored big data research projects. A stipend is available for successful applicants.
Event listing ID
881052
Title
Summer Graduate School: Positivity Questions in Geometric Combinatorics
10 Jun 2017 - 21 Jul 2017 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract
McMullen's g-Conjecture from 1970 is a shining example of mathematical foresight that combined all results available at that time to conjure a complete characterization of face numbers of convex simple/simplicial polytopes. The key statement in its verification is that certain combinatorial numbers associated to geometric (or topological) objects are non-negative. The aim of this workshop is to introduce graduate students to selected contemporary topics in geometric combinatorics with an emphasis on positivity questions. It is fascinating that the dual notions of simple and simplicial polytopes lead to different but equally powerful algebraic frameworks to treat such questions. A key feature of the lectures will be the simultaneous development of these algebraic frameworks from complementary perspectives: combinatorial-topological and convex geometric.
Event listing ID
835184
Related subject(s)
Title
Summer Graduate School: Subfactors
12 Jun 2017 - 23 Jun 2017 • Mathematical Sciences Research Institute Berkeley, United States
Abstract
Subfactor theory is a subject from operator algebras, with many surprising connections to other areas of mathematics. This summer school will be devoted to understanding the representation theory of subfactors, with a particular emphasis on connections to quantum symmetries, fusion categories, planar algebras, and random matrice.
Event listing ID
832085
Related subject(s)
Title
ICERM Topical Workshop: Robust Methods in Probability & Finance
19 Jun 2017 - 23 Jun 2017 • Providence, RI, United States
Abstract
On financial markets one never observes the same data twice; market configurations are subject to change across time. This poses some specific challenges to inference, prediction, and optimal control in financial contexts. Classically, strong model assumptions are needed, while current research aims at methods which are robust with respect to model misspecification. This issue lies at the heart of the envisaged workshops, and the program of the workshops will reflect recent developments in this direction. The last decade saw a rise of robust methods in probability and finance resulting in new numerical and theoretical challenges. Interestingly, these challenges bring together methodologies from PDEs, probability, stochastic analysis, and control theory. Mathematically speaking, robustness typically translates into nonlinearity showing up as a defining feature. Examples in this direction are nonlinear expectations, nonlinear PDEs, and H-infinity optimal stochastic control. Finance has a long tradition of fruitful interactions between these areas. Numerical results often build the first step for subsequent theoretical analysis (and vice versa), thus fitting specifically into ICERM's orientation towards computational and experimental research.
Event listing ID
882415
Title
Math-to-Industry Boot Camp II
19 Jun 2017 - 28 Jul 2017 • University of Minnesota, Minneapolis, United States
Abstract
The Math-to-Industry Boot Camp is an intense six-week session designed to provide graduate students with training and experience that is valuable for employment outside of academia. The program is targeted at PhD students in pure and applied mathematics. The boot camp consists of courses in the basics of programming, data analysis, and mathematical modeling. Students will work in teams on projects and will be provided with soft skills training. There will be two group projects during the session: a small-scale project designed to introduce the concept of solving open-ended problems and working in teams, and a "capstone project" that will be posed by industry scientists. The students will be able to interact with industry participants at various points in the program. Applicants must be current graduate students in a PhD program at a US institution during the period of the boot camp.
Event listing ID
881196
Title
Summer Graduate School: Automorphic Forms and the Langlands Program
24 Jul 2017 - 04 Aug 2017 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract
The summer school will be an introduction to the more algebraic aspects of the theory of automorphic forms and representations. One of the goals will be to understand the statements of the main conjectures in the Langlands programme. Another will be to gain a good working understanding of the fundamental definitions in the theory, such as principal series representations, the Satake isomorphism, and of course automorphic forms and representations for groups such as GL_n and its inner forms.
Event listing ID
835201
Related subject(s)
Title
Summer Northwestern Analysis Program
24 Jul 2017 - 11 Aug 2017 • Northwestern University, Evanston, United States
Abstract
The Summer Northwestern Analysis Program (SNAP) is a three-week summer school in analysis to be held at Northwestern University. It will feature mini-courses on various topics in analysis, aimed at undergraduates, graduate students, and recent PhDs. The theme of SNAP 2017 is Partial Differential Equations. Financial support is available for undergraduates, graduate students, and recent PhDs who are US citizens or US permanent residents. Women mathematicians and members of other under-represented groups are especially encouraged to apply for support.
Event listing ID
881456
Related subject(s)
Title
Summer School: Dyson-Schwinger Equations, Topological Expansions, and Random Matrices
28 Aug 2017 - 01 Sep 2017 • Columbia University, New York, United States
Abstract
Analyzing the large dimension asymptotics of highly correlated systems such as random matrices and random tilings has been a hot topic for the last twenty years. This summer school will investigate a general class of such models using the so-called Dyson-Schwinger equations and generalizations such as Nekrasov's equations. Alice Guionnet (Lyon) will give ten main lectures, divided into two per day. Besides these lectures there will be supplementary lectures by other senior researchers attending the school. This school is intended for graduate students and postdocs who are starting to learn random matrix theory and have some background in probability.
Event listing ID
881567
Related subject(s)
Event website
Title
ICERM Semester Workshop: Waves and Imaging in Random Media
25 Sep 2017 - 29 Sep 2017 • Providence, United States
Abstract
Wave propagation and imaging in complex media is an interdisciplinary area in applied mathematics, with roots in hyperbolic partial differential equations, probability theory, statistics, optimization, and numerical analysis. It has a wide range of applications, including not only radar and seismic reconstruction but also many others, such as laser beam propagation through clouds, light propagation through the atmosphere in astronomy, secure communications in scattering media, medical imaging, and nondestructive testing of materials. This workshop will present some of the latest advances in this area including wave propagation with time-dependent perturbations, source and reflector imaging in random media with sensor arrays, applications of random matrix theory for detection and imaging, imaging with cross correlation techniques, imaging with opportunistic or noise sources, applications of compressed sensing for imaging of sparse scenes, super-resolution in imaging, waves in novel media, e.g. metamaterials
Topics
Wave propagation and imaging, applied mathematics, hyperbolic, differential equations, probability theory, statistics, optimization, numerical analysis, radar and seismic reconstruction, laser beam, light propagation, source and reflector imaging, sensor arrays, matrix theory, metamaterials
Event listing ID
883335
Title
ICERM Semester Workshop: Mathematical and Computational Aspects of Radar Imaging
16 Oct 2017 - 20 Oct 2017 • Providence, United States
Abstract
This workshop will bring together mathematicians and radar practitioners to address a variety of issues at the forefront of mathematical and computational research in radar imaging. Some of the topics planned include shadow analysis and exploitation, interferometry, polarimetry, micro-Doppler analysis, through-the-wall imaging, noise radar, compressive sensing, inverse synthetic-aperture radar, moving target identification, quantum radar, multi-sensor radar systems, waveform design, synthetic-aperture radiometry, passive sensing, tracking, automatic target recognition, over-the-horizon radar, ground-penetrating radar, and Fourier integral operators in radar imaging.
Topics
Radar practitioners, radar imaging, shadow analysis, interferometry, polarimetry, micro-Doppler analysis, through-the-wall-imaging, noise radar, compressive sensing, inverse synthetic-aperture radar, moving target identification, quantum radar, multi-sensor radar systems, waveform design, synthetic-aperture radiometry, passive sensing, automatic target recognition
Event listing ID
883345
Title
ICERM Semester Workshop: Recent Advances in Seismic Modeling and Inversion: From Analysis to Applications
06 Nov 2017 - 10 Nov 2017 • Providence, United States
Abstract
This workshop will bring together academic and industrial researchers with the goal of addressing some of the key challenges in the analysis of seismic inverse problems, with emphases on reconstruction, big data and fast algorithms. We aim to facilitate interactions among scientists addressing all aspects of these problems, from analysts addressing such questions as stability and uniqueness through geophysicists developing new acquisition systems and applying cutting-edge ideas to field data sets. The workshop will place particular emphasis on fast algorithms that address the unique big-data requirements of seismic imaging from the reservoir to whole-Earth scale. Specific topics will include analysis of seismic inverse problems leading to reconstruction (iterative or direct) from finite data; emerging acquisition technologies; uncertainty quantification; big-data simulation; inversion and model reduction, including compressed sensing; fast solvers in frequency and time; anisotropy; and applications at a variety of scales.
Topics
seismic inverse problems, reconstruction, fast algorithms, seismic inverse problems leading to reconstruction, emerging acquisition technologies, uncertainty quantification, inversion and model reduction, fast solvers in frequency and time, anisotropy
Event listing ID
883333
Title
Summer Graduate School: The ∂-Problem in the Twenty-First Century
11 Jun 2018 - 22 Jun 2018 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract
This Summer Graduate School will introduce students to the modern theory of the inhomogeneous Cauchy-Riemann equation, the fundamental partial differential equation of Complex Analysis. This theory uses powerful tools of partial differential equations, differential geometry and functional analysis to obtain a refined understanding of holomorphic functions on complex manifolds. Besides students planning to work in complex analysis, this course will be valuable to those planning to study partial differential equations, complex differential and algebraic geometry, and operator theory. The exposition will be self-contained and the prerequisites will be kept at a minimum.
Event listing ID
835313
Title
Summer Graduate School: Derived Categories
25 Jun 2018 - 06 Jul 2018 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract
The goal of the school is to give an introduction to basic techniques for working with derived categories, with an emphasis on the derived categories of coherent sheaves on algebraic varieties. A particular goal will be to understand Orlov's equivalence relating the derived category of a projective hypersurface with matrix factorizations of the corresponding polynomial.
Event listing ID
881794
Related subject(s)
Title
Summer Graduate School: Representations of High Dimensional Data
08 Jul 2018 - 20 Jul 2018 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract
In today's world, data is exploding at a faster rate than computer architectures can handle. This summer school will introduce students to modern and innovative mathematical techniques that address this phenomenon. Hands-on topics will include data mining, compression, classification, topic modeling, large-scale stochastic optimization, and more.
Event listing ID
835378
Title
Summer Graduate School: From Symplectic Geometry to Chaos
23 Jul 2018 - 03 Aug 2018 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract
The purpose of the summer school is to introduce graduate students to state-of-the-art methods and results in Hamiltonian systems and symplectic geometry. We focus on recent developments on the study of chaotic motion in Hamiltonian systems and its applications to models in Celestial Mechanics.
Event listing ID
881858

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