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

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1
Quantitative Linear Algebra
18 Mar 2018 - 15 Jun 2018 • Institute for Pure and Applied Mathematics (IPAM),, United States
Abstract:
The program lies at the juncture of mathematics and theoretical computer science in a quest for quantitative answers to finite-dimensional questions. The program brings together topics from a number of important directions, including discrepancy theory, spectral graph theory, random matrices, geometric group theory, ergodic theory, von Neumann algebras, as well as specific research directions such as the Kadison-Singer problem, the Connes embedding conjecture and the Grothendieck inequality. A very important aspect of the program is its aim to deepen the link between research communities working on some infinite-dimensional functional analysis problems that occur in geometric group theory, ergodic theory, von Neumann algebras; and some quantitative finite-dimensional ones that occur in spectral graph theory, random matrices, combinatorial optimization, and the Kadison-Singer problem.
Event listing ID:
982483
Related subject(s):
2
GRWC — Graduate Research Workshop in Combinatorics
21 May 2018 - 01 Jun 2018 • Ames, IA, United States
Abstract:
The Graduate Research Workshop in Combinatorics (GRWC) is an annual two-week collaborative research workshop for advanced graduate students and postdocs from all areas of combinatorics. Participants work in small collaborative groups with faculty and postdocs on research problems from across the discipline. The workshops also host a variety of professional development workshops to prepare students and postdocs for industrial and academic careers.
Contact:
Email: Combinatorics.Workshop@gmail.com
Event listing ID:
942570
3
Talbot Workshop 2018: Model-independent theory of infinity categories
27 May 2018 - 02 Jun 2018 • Government Camp, OR, United States
Abstract:
The Talbot Workshop is a 1-week learning workshop for roughly 35 graduate students and a few postdocs. Most of the talks will be given by participants, and will be expository in nature. This year's topic is on Riehl and Verity's work developing a theory of ∞-categories from first principles in a model-independent fashion, that is, using a common axiomatic framework that is satisfied by a variety of models. The goal is to demonstrate that theorems proven using the combinatorics of a particular model transfer across specified "change of model" functors. More details about the program, including a preliminary list of talks and references, can be found at math.mit.edu/conferences/talbot/ Applications close on Wednesday, February 28 at 11:59PM. You can apply online here: math.mit.edu/conferences/talbot/index.php?pageID=application
Event listing ID:
1017330
Related subject(s):
4
UNCG Summer School in Computational Number Theory: Algorithms for Extensions of Large Degree
28 May 2018 - 01 Jun 2018 • University of North Carolina Greensboro, United States
5
Connecticut Summer School in Number Theory
28 May 2018 - 03 Jun 2018 • University of Connecticut at Storrs, United States
Event listing ID:
1020960
Related subject(s):
6
ICERM Topical Workshop: Frame Theory and Exponential Bases
04 Jun 2018 - 08 Jun 2018 • Providence, RI, United States
Abstract:
The problem of decomposing a function into a sum of simply structured functions is a classical area of research in Analysis. Exciting recent progress, e.g. the solution to the Kadison-Singer problem, results about exponential frames and Riesz bases in various settings, and results about orthogonal exponential bases for convex polytopes, has re-energized discussion in this area, opened new directions for study, and turned it into an even more active and fruitful area for research. The goal of this workshop is to discuss such new developments in this area. In particular, the workshop will focus on problems regarding exponential systems in weighted spaces and the Fuglede conjecture. Related settings will also be of interest, for example: (i) Systems of vectors obtained by translating, translating and modulating, or translating and dilating a single function over the line; (ii) Sampling and decomposition of functions in the finite dimensional setting; (iii) Sampling and interpolation of functions in analytic function spaces.
Event listing ID:
943670
Related subject(s):
7
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:
835291
8
Princeton Summer School in Low-dimensional Topology and Symplectic Geometry
11 Jun 2018 - 29 Jun 2018 • Princeton, United States
Abstract:
A three-week intensive program (June 11–29, 2018) at Princeton University for 25 advanced undergraduates and first year graduate students consisting of courses in low dimensional topology and symplectic geometry. Topics will include low-dimensional topology, gauge theory, and pseudo-holomorphic curves. There will be 6 courses, consisting of five lectures apiece. Daily lectures will be complemented by review and problem sessions.
Contact:
Jill LeClair;     Phone: [609-258-4443];     Email: leclair@math.princeton.edu
Topics:
4-dimensional knot theory, Seiberg-Witten theory on four-manifolds, Bordered algebras and a bigraded knot invariant, An introduction to monopole Floer homology, Knot Floer homology and bordered invariants, Geometry and algebra of pseudo-holomorphic curves, Low-dimensional Topology, Symplectic Geometry
Event listing ID:
1020580
Related subject(s):
9
Big Data Summer Institute
17 Jun 2018 - 27 Jul 2018 • University of Michigan School of Public Health, An, 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. Full and partial stipends are available for selected applicants based on merit and need.
Event listing ID:
979373
10
ICERM Topical Workshop: Fractional PDEs: Theory, Algorithms and Applications
18 Jun 2018 - 22 Jun 2018 • Providence, RI, United States
Abstract:
Fractional partial differential equations (FPDEs) are emerging as a powerful tool for modeling challenging multiscale phenomena including overlapping microscopic and macroscopic scales. Compared to integer-order PDEs, the fractional order of the derivatives in FPDEs may be a function of space and time or even a distribution, opening up great opportunities for modeling and simulation of multi-physics phenomena, e.g. seamless transition from wave propagation to diffusion, or from local to non-local dynamics. In addition, data-driven fractional differential operators may be constructed to fit data from a particular experiment or specific phenomenon, including the effect of uncertainties. FPDEs lead to a paradigm shift, according to which data-driven fractional operators may be constructed to model a specific phenomenon instead of the current practice of tweaking free parameters that multiply pre-set integer-order differential operators. This workshop will cover all these areas, including (but not limited to) FPDE modeling, stochastic interpretation of FPDEs, efficient and accurate numerical solutions of FPDEs, mathematical analysis of FPDEs, and application of FPDE models.
Event listing ID:
943691
11
IPAM Graduate Summer School: Mean Field Games and Applications
18 Jun 2018 - 29 Jun 2018 • Institute for Pure and Applied Mathematics (IPAM),, United States
Abstract:
The summer school, Mean Field Games and Applications, will be a series of lectures that aims to introduce graduate students and postdocs to this recently accessible and fast growing area. The main goals of the summer school are: (i) To introduce students and postdocs to Mean Field Games and certain cognate areas through lectures by leading researchers; (ii) To make available to the wider mathematical community a series of broad-interest talks on mean field games; (iii) To provide a collaborative environment that is welcoming to underrepresented minorities and women and which brings scientists together with trainees from varied backgrounds.
Event listing ID:
979415
12
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:
881838
Related subject(s):
13
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:
835367
14
2nd Northwestern Summer School in Probability
16 Jul 2018 - 26 Jul 2018 • Northwestern University, Evanston, United States
Abstract:
The 2nd Northwestern Summer School in Probability is a two-week summer school in Probability to be held at Northwestern University, as part of the activities of the NSF RTG grant "Analysis on Manifolds" and NSF Career grant DMS 1653552. It will feature mini-courses of increasing level of specialization, aimed at undergraduate and graduate students and recent PhDs, in various topics in probability. It is part of the 2018 Summer Northwestern Analysis Program (SNAP).
Event listing ID:
1017799
15
Thirty-third Summer Conference on Topology and its Applications
17 Jul 2018 - 20 Jul 2018 • Western Kentucky University, Bowling Green, United States
Abstract:
Special sessions: Set-Theoretic Topology, Topology in Analysis and Topological Algebras (dedicated to W. W. Comfort), Topological Methods in Geometric Group Theory, Dynamical Systems and Continuum Theory, Asymmetric Topology, Applications of Knot Theory to Physical Sciences, The Interplay of Topology and Materials Properties. J. Michael Kosterlitz, recipient of the 2016 Nobel Prize in Physics "for theoretical discoveries of topological phase transitions and topological phases of matter", will give a plenary address.
Event listing ID:
966952
Related subject(s):
16
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:
881814
17
DIMACS/TRIPODS/MOPTA
13 Aug 2018 - 17 Aug 2018 • Lehigh University, Bethlehem, United States
Abstract:
This year the annual MOPTA conference will be combined with an NSF-TRIPODS sponsored three day summer school for doctoral students and the NSF-DIMACS sponsored workshop on Optimization in Machine Learning which is a part of the DIMACS/Simons Collaboration on Bridging Continuous and Discrete Optimization.
Event listing ID:
1033283
18
MOPTA 2018
15 Aug 2018 - 17 Aug 2018 • Bethlehem, PA, United States
Abstract:
This year the annual MOPTA conference will be combined with an NSF-TRIPODS sponsored three day summer school for doctoral students and the NSF-DIMACS sponsored workshop on Optimization in Machine Learning which is a part of the DIMACS/Simons Collaboration on Bridging Continuous and Discrete Optimization.
Event listing ID:
1070577
19
Semester Program Workshop: Real algebraic geometry and optimization
15 Oct 2018 - 19 Oct 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
Abstract:
This workshop will focus on techniques and structures in real algebraic geometry and optimization, including computational tools for semi-algebraic sets, semidefinite programming techniques for polynomial optimization, and applications of these tools to problems in computer vision. Real algebraic geometry provides powerful tools to analyze the behavior of optimization problems, the geometry of feasible sets, and to develop new relaxations for hard non-convex problems. On the other hand, numerical solvers for semidefinite programs have led to new fast algorithms in real algebraic geometry. Algebraic methods over the real numbers are essential for many real-world applications. This workshop aims to explore the cutting edge of techniques in real algebraic geometry and convex optimization as well as applications of these tools to problems in computer vision and other information sciences.
Topics:
real algebraic geometry and optimization, computational tools for semi-algebraic sets, semidefinite programming techniques for polynomial optimization
Event listing ID:
1000778
Related subject(s):
20
Semester Program Workshop: Nonlinear algebra in applications
12 Nov 2018 - 16 Nov 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
Abstract:
Applications often pose many algorithmic, computational, and theoretical challenges, and overcoming these challenges has been a driving force behind many recent innovations in nonlinear algebra. This workshop will bring together mathematicians and practitioners with a focus on recently developed methods that have been motivated by solving problems arising in applications. Three key hallmarks of the methods presented are efficient computation of solutions, exploitation of structure, and reformulation of numerically unstable systems. Some of the topics planned for discussion include algebraic cryptanalysis and coding theory, chemical reaction networks, computational biology, computer-aided geometric design, applications of enumerative and tropical geometry, gauge and string theory in physics, and applications to statistics such as probabilistic graphical models and singular learning theory.
Topics:
nonlinear algebra, algebraic cryptanalysis and coding theory, chemical reaction networks, computational biology, computer-aided geometric design, applications of enumerative, tropical geometry, gauge and string theory, probabilistic graphical models, singular learning theory.
Event listing ID:
1000788
Related subject(s):
21
Random and arithmetic structures in topology Summer Graduate School
10 Jun 2019 - 21 Jun 2019 • Mathematical Sciences Research Institute, Berkeley, United States
Event listing ID:
1037863
Related subject(s):

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Last updated: 25 May 2018