Courses and Events for Math Students and Early Career Researchers

There will be about 15 mini-courses of introductory nature, related to the Geometry-Topology research subjects. Graduate students, recent Ph.D.s and under-represented minorities are especially encouraged to the summer school. Partial financial support is available.

Email: okelekci@gmail.com

Geometry, Topology, Lie Algebras, Analysis

Geometry and Topology,    Analysis

The aim of the conference is to allow PhD students and young researchers to share their knowledge and discuss topics in Algebra. The number of admissible participants is limited. Requests for a financial support to cover accommodation expenses must be indicated in the application form and will be evaluated by the organizers.

The School of Complex Systems and Big Data: Ethical Implications for Self-Organized Cognition aims at discussing ethical and epistemological implications of the use of Big Data Analytics for self-organized cognition and action, from the perspective of the Complex Systems paradigm.

Information & Knowledge Management, Big Data Computing,    Systems theory, Control and Automation

Centre International de Rencontres Mathématiques (CIRM)

This conference is part of the ”Semaines CIRM-SMF” program and is dedicated to the mathematical analysis of non homogeneous models of fluid mechanics.

RESEARCH SCHOOL (CIRM-SMF)

Applied Mathematics (in general),    Thermodynamics, Fluid Dynamics and Statistical Physics

Institute for Pure and Applied Mathematics (IPAM), UCLA

Part of the Long Program Machine Learning for Physics and the Physics of Learning.

The workshop will examine how to plan experiments in order to use information in a cost-optimal way. It will also include the application of these modalities to training complex models, such as deep architectures, and the transfer of these ideas to the generation of physically-relevant complex structures such as chemical structures, molecular structures, scalar or vector fields in fluid dynamics or electrodynamics, proposal steps for Markov chain Monte Carlo of physical systems etc.

Bernoulli Center (CIB)

This workshop brings together dynamicists who use techniques from, and are motivated by, combinatorics, geometry, and number theory. The topics cover a broad swath of dynamics, including ergodic theory, homogeneous dynamics, symbolic dynamics, Teichmuller theory, and billiards, and the aim of the workshop is to highlight the common features across these subjects.

Part of the Semester : Dynamics with Structures

Graph Theory and Combinatorics,    Systems theory, Control and Automation

Institute for Pure and Applied Mathematics (IPAM), UCLA

Part of the Long Program Machine Learning for Physics and the Physics of Learning.

This workshop will showcase how to employ mathematical aspects of statistical / information theoretic approaches in ML for the discovery of physical laws from data. Offering statistical guarantees along with the learned models is critical in physics and in areas such as aeronautics, climate science, chemistry, biology, and robotics. We will consider model selection, robust statistics, model-free and adaptive learning, and model validation in the context of both static and dynamic models, such as equations of motion.

Mathematical Physics,    High Energy Physics, Particles and Fields

Department of Mathematics, Purdue University

Each Fall Alliance Scholars, together with their Alliance Mentors, are invited to the Field of Dreams Conference. The Field of Dreams Conference introduces potential graduate students to graduate programs in the mathematical sciences at Alliance schools as well as professional opportunities in these fields. Scholars spend time with faculty mentors from the Alliance schools, get advice on graduate school applications, and attend seminars on graduate school preparation and expectations as well as career seminars.

These are a series of combinatorial workshops, held once per semester, each on a Saturday. The series began with its first meeting in spring 2010. They rotate among the universities in and around the Research Triangle. Participants come from numerous colleges and universities within a few hours drive, and some from even farther away. These workshops are funded by the National Science Foundation, in particular enabling us to bring in four exciting speakers to give one hour talks each time as well as funding travel expenses for participants.

Institute for Pure and Applied Mathematics (IPAM), UCLA

Part of the Long Program Machine Learning for Physics and the Physics of Learning.

In this workshop we will explore how to use physical intuition and ideas to design new classes of machine learning (ML) algorithms. Physics-inspired sampling algorithms could be used to train ML structures or sample the hyper-parameter space (e.g. deep Neural Networks). Additionally, physics-based models such as Ising/Potts models or energy-based models have influenced ML inference frameworks such as Markov Random Fields and Restricted Boltzmann Machines, and we want to continue the discussion to facilitate this innovation transfer. Finally, physical insight could be used to enhance learning in the situation of scarce data by enforcing smoothness, differentiability or other physical properties relevant to a given problem.

The Capability Systems Centre at UNSW Canberra will host the Summer School on Model-Based Decision Analysis the week before MODSIM 2019.

Bernoulli Center (CIB)

Part of the Semester : Dynamics with Structures

Algebra,    Geometry and Topology

Banaras Hindu University Varanasi, University of Strasbourg

Geometry and Topology,    Algebra

Graph Theory and Combinatorics,    Numerical Analysis and Computational Mathematics

Centre International de Rencontres Mathématiques (CIRM)

Representation theory is the study of the basic symmetries of mathematics and physics. Recently, it has known some spectacular developments, thanks to the introduction of new technics such as categorical representations or parity sheaves. The continued development of the subject has motivated a trimester in representation theory at the IHP that will take place in 2020 from January to March. This program will begin with an introductory conference. It will consist of 6 mini-courses on the main topics (categorifications and quantum groups, quiver varieties, character varieties, geometric representation theory). It is devoted to younger researchers, but also to senior ones in order to promote the discussions between young mathematicians and seniors.

Algebra,    Mathematical Physics

The Fields Institute

Two intensive mini-courses will be given over one week by experts on polyhedral products and toric topology. These are designed to give graduate students and early career researchers in nearby fields a better understanding of each subject by presenting multiple viewpoints from different lecturers, thus enabling the participants to better engage in the subsequent workshops and seminars.

The workshop intentionally focusses on only four main speakers giving a 4-hour mini-course each. Their lectures are supposed to present a panoramic overview over some important developments in their field with the goal to enable the participants to actively participate in the new directions of research emerging from these developments. Special time slots will be reserved for active discussions of the participants under the moderation of the main speakers.

Institute for Pure and Applied Mathematics (IPAM), UCLA

Applications that involve HJ PDEs in a high-dimensional (and possibly infinite-dimensional) setting lead to challenging computational problems. Although a large literature is available on HJ PDEs, many challenges remain both from a mathematical and computational point of view. The program will open with one week of tutorials, presented by some of the main organizers. These tutorials will provide an introduction to the major themes of the entire program and connect the themes of the four workshops. The goal is to introduce a common language and build a foundation for the participants of this program who have diverse scientific backgrounds. During the weeks between workshops, participants in residence will develop collaborations; we expect fruitful discussions especially between domain scientists, algorithm developers and pure and applied mathematicians.

Calculus, Differential Equations and Integration,    Applied Mathematics (in general)

This Spring School will gather together PhD students and junior researchers who use category-theoretic ideas or techniques in their research. It will provide a forum to learn about important themes in contemporary category theory, both from experts and from each other. Three invited speakers will each present a three-hour mini-course, accessible to non-specialists, introducing an area of active research. There will also be short talks contributed by PhD students and postdocs, and a poster session. The focus of the Spring School is on aspects of pure category theory as they interact with research in other areas of algebra, geometry, topology and logic. Any "categorical thinker" - that is, any mathematician whose work makes use of categorical ideas - is welcome to participate.

Email: jct.uk.2020@gmail.com

Category Theory, Grothendieck Toposes, Topos Theory, Higher Category Theory, Model Categories, Derived and Triangulated Categories

Algebra,    Geometry and Topology

Bernoulli Center (CIB)

Functional data such as space curves, images, and surfaces are seldom sensed directly; curves are often noisily and discretely sampled, images are subject to blurring and deformation, and surfaces are often obtained via indirect linear measurements. Understanding the generation of the observations then requires modelling the act of acquisition, and solving an inverse problem in order to arrive at statistical inferences. This leads to a host of new research questions, from identifiability to trade-offs between statistical optimality and computational feasibility, which also make contact with signal processing and numerical analysis.

Part of the Semester : Functional Data Analysis

Institute for Pure and Applied Mathematics (IPAM), UCLA

Ideas to be explored in the workshop include different computational methodologies for efficient real-time solution of nonlinear HJ equations in reachability, optimal control, and differential games. Ideas such as efficient reduced-complexity computation of optimal control solutions, exploiting structure to decompose the solution space to scalable computations and reduced-complexity feedback structures for efficient implementation of optimal controllers based on available data will be considered.

Calculus, Differential Equations and Integration,    Applied Mathematics (in general)

Centre International de Rencontres Mathématiques (CIRM)

Geometry and Topology,    Mathematical Physics

Institute for Pure and Applied Mathematics (IPAM), UCLA

This workshop will bring together researchers with background in PDEs, Inverse Problems, and Scientific Computing who are already working in machine learning, along with researchers who are interested in these approaches.

Calculus, Differential Equations and Integration,    Applied Mathematics (in general)

The Fields Institute

Bernoulli Center (CIB)

Spatio-temporal modelling central to many modern applications, but the dimensionality of the domain of such data poses both conceptual and computational statistical challenges. These are exacerbated in a nonparametric setting, where questions related to asymptotic framework and invariance assumptions arise. The areas of functional data analysis and random field analysis have been attacking these problems separately, but are now increasingly coming into contact, especially when replication may be feasible. The workshop will bring together experts from both areas to explore recent trends and novel challenges.

Part of the Semester : Functional Data Analysis

Institute for Pure and Applied Mathematics (IPAM), UCLA

This week-long workshop on Mean Field Games (MFG) and Applications for has a number of goals: (i) to gather together leading researchers in MFG and certain cognate areas (economics, optimal transportation, finite dimensional Hamilton-Jacobi equations, Stochastic equations, applied control, numerics). (ii) to expose new researchers to the promise of the field and its array of challenges, while grounding them in its basic techniques; (iv) to make available to the wider community a series of broad interest talks on MFG.

Calculus, Differential Equations and Integration,    Applied Mathematics (in general)

Hausdorff Center for Mathematics

Institute for Pure and Applied Mathematics (IPAM), UCLA

In spite of its flexibility, computing nonlinear problems in random media is very expensive. Hence, in practice, it is needed to consider environments which are small random perturbations of periodic ones, and then to obtain some asymptotic expansion for the ergodic constants. Concrete examples of such phenomena that relate to Hamilton-Jacobi equations are large deviations, front propagation and random walks in random media. The latter strengthens the connection with probability.

Calculus, Differential Equations and Integration,    Applied Mathematics (in general)

The Fields Institute

Two mini-courses will be given by experts in Geometric Group Theory. These are designed to give graduate students and early career researchers a research level perspective on how and why Polyhedral Products appear in Geometric Group Theory, thereby enabling the participants to engage fully in the workshop that immediately follows.

Geometry and Topology,    Group Theory

Bernoulli Center (CIB)

Topological and discrete data such as trees and networks constitute strongly non-Euclidean structures, often beyond the reach of traditional statistical tools. Their analysis is often challenged by computational tractability, as natural constraints such as permutation invariance are computationally hard to implement. Still, such data can be often transposed into more familiar contexts, whether by transformation, asymptotic arguments, or replicated observations. This workshop will explore both modelling and processing of discrete structures, also drawing in areas such as signal processing on graphs and nonparametrics.

Part of the Semester : Functional Data Analysis

Institute for Mathematical Sciences/National University of Singapore

Interactions between people working in Index Theory and Complex Geometry are increasing. One of the reasons is that although researchers use different tools and techniques, their studies have profound connections and are understandable to people from both sides. Sharing experiences and techniques is an opportunity for them to accelerate collaboration works. Index Theory and Complex Geometry recently both have spectacular developments. In this program, we plan to dig out more materials on complex geometry side of global analysis led by recent development on geometric hypoelliptic Laplacians.

Algebra,    Geometry and Topology

Bernoulli Center (CIB)

Important classes of functional data, such as random measures and random operators, are intrinsically constrained and need to be represented as elements of suitable non-Euclidean spaces, such as Hilbert manifolds. The interplay between the infinite dimensionality of their variation and the non-linearity of their representation space poses novel challenges for statistics, at the interface of several domains, such as shape analysis, stochastic geometry, manifold learning, and functional data analysis. This workshop will bring together experts from these fields to explore these novel challenges and future perspectives.

Part of the Semester : Functional Data Analysis

The application of topology to physics has become an integral part of a second quantum revolution in the sciences. The discovery of topological insulators and progress towards topological superconductors realizing non-abelian statistics has moved topological phases of matter onto the center stage in the interaction of topology and physics beyond the quantum Hall effect. While topological physics has been intensively investigated by physicists for the last few decades, the mathematical theory lags far behind. One challenge is formulating the right definition of topological phases of matter, which is closely related to the notoriously difficult problem of finding a rigorous mathematical formulation of quantum field theory. In this summer school, we will focus on two relatively mature foundational topics, and two new directions in the mathematics of topological phases of matter.

Courses and Events for Physics Students,    Mathematical Physics

Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Russia

G2G2-Summer School is associated with G2G2-Minisymposia of 8ECM. It belongs to the G2-series that are about strong and beautiful mathematics, especially those involving group actions on combinatorial objects. The main goal of G2G2-Summer School is to bring together experts and students to exchange ideas and to enrich their mathematical horizon. We organize two short courses and four colloquium talks to let participants see order and simplicity from possibly new perspectives and share insights with experts.

Graph Theory and Combinatorics,    Group Theory

Institute for Mathematical Sciences/National University of Singapore

Causal inference is the study of quantifying whether a treatment, policy, or an intervention, denoted as A, has a causal effect on an outcome interest, denoted as Y. What distinguishes a causal effect of A on Y from an associative effect of A on Y, say by computing the correlation between A and Y, is that under a causal effect, intervening on the treatment A leads to changes in the outcome Y. Hence, a causal effect is a stronger notion of a relationship between A and Y than an associative effect.

Applied Mathematics (in general),    Information & Knowledge Management, Big Data Computing

Centre International de Rencontres Mathématiques (CIRM)

RESEARCH SCHOOL

Algebra,    Applied Mathematics (in general)

Each of three main courses consists of 5 hours of lectures and 1 hour of exercises.

Phone: [48693218569];     Email: psniady@impan.pl

random Young tableaux, shifted symmetric groups, reflection groups, crystal bases

PhD summer schools on Multiple Criteria Decision Aiding/Making (MCDA/MCDM) have been jointly organized by the International Society on Multiple Criteria Decision (MCDM) making and EURO Working Group on Multicriteria Decision Aiding (EWG-MCDA) regularly since 1983. The summer school brings together around 50 PhD students from all over the world and leading scholars of MCDA/MCDM at a venue where all participants live, work, and socialize together for a two-week period. This event has been very successful in educating future generations of MCDA/MCDM scholars and facilitating networking among participants.

The Young Researchers in Combinatorics workshop is aimed at PhD students and early-career academics working in Extremal and Probabilistic Combinatorics and related fields. By building an environment without senior researchers, we hope the participants will feel free to contribute their ideas openly, thus preparing them to undertake their own research projects. The workshop consists mostly of working sessions in which participants collaborate on research problems, and a limited number of talks and lectures. We aim to host around 10 invited participants and about 25 PhD students for a week between 19 and 25 July 2020 at ICMS Edinburgh. Accommodation and refreshments are provided for all participants, as well as a conference dinner. A registration fee of 100GBP is payable by all non-invited participants. We expect to start accepting applications in October 2019.

Mathematical Sciences Research Institute – MSRI

The Illustrating Mathematics program brings together mathematicians, makers, and artists who share a common interest in illustrating mathematical ideas via computational tools.

The program includes week-long workshops in Geometry and Topology, Algebra and Number Theory, and Dynamics and Probability, as well as master courses, seminars, and an art exhibition.

moduli spaces of geometric structures, hyperbolic geometry, configuration spaces, sphere eversions, apollonian packings, kleinian groups, sandpiles and tropical geometry, analytic number theory, supercharacters, complex dynamics, billiards, random walks, and Schramm–Loewner evolution

Institute for Mathematical Sciences/National University of Singapore

Institute for Mathematical Sciences/National University of Singapore

Engineering (general),    Applied Mathematics (in general)

Institute for Mathematical Sciences/National University of Singapore

This workshop is devoted to the theory of representations of reductive groups over local fields.

Institute for Mathematical Sciences/National University of Singapore

In this two-week program, we explore the interactions between geometric group theory, geometric structures and Anosov representations. Geometric group theory, in the broadest sense, seeks to understand the structure of groups through their actions on objects with geometric meaning. Conversely, one can take a known group and attempt to understand all its geometrically meaningful actions. One natural notion that arises in this setting is an Anosov representation, which came about as an attempt to describe what it means for the action of a discrete group on a homogeneous space to be geometrically well behaved. Also, in his Erlangen program, Felix Klein viewed geometry as a space which is invariant under a group of transformations. This gave rise to the notion of a geometric structure, which gives yet another notion of a geometrically meaningful action of a group on a homogeneous space.

Group Theory,    Geometry and Topology

Institute for Mathematical Sciences/National University of Singapore

This is a two-week program gathering mathematicians and physicists interested in the statistical physics of strongly correlated and long range random particle systems. These particle systems include Gibbs point processes such as Coulomb gases, determinantal point process, eigenvalues of random matrices, etc. They are linked to mathematical long-standing challenges such as the crystallization and best packing conjectures among others. One aspect that we want to put forward in this meeting is that the pioneering tools from classical statistical mechanics à la Ruelle, Lanford, Lebowitz may not have been used enough for the study of these particle systems yet.

Institute for Mathematical Sciences/National University of Singapore

This is a one-week program gathering mathematicians, engineers, and scientists interested in reduced order models and methods (ROMs) for systems of partial differential equations. The general idea behind ROMs is to derive a low-dimensional model from a high-dimensional model, by integrating techniques from data science, modeling, and simulation, in order to obtain accurate and reliable results at greatly reduced computational costs.

Applied Mathematics (in general),    Analysis

Institute for Mathematical Sciences/National University of Singapore