## Programs & Events

##### Building Community in the Foundations of Data Science

Aug 13 - 14, 2018

Building Community in the Foundations of Data Science

Brown's NSF TRIPODS grant is sponsoring a two-day informal networking workshop for the greater New England Foundations of Data Science community. In a series of informal discussions and short talks, we would like to draw attention to the opportunities to collaborate in foundational questions that lie at the focus of our TRIPODS program:

- structure of large and complex networks
- causal inference
- geometry and topology of data

##### Organizing Committee

- Jeffrey Brock
- Bjorn Sandstede

##### GirlsGetMath@ICERM: Summer Math Camp for High School Girls

Aug 6 - 10, 2018

GirlsGetMath is a weeklong mathematics summer day-program for 9th and 10th grade high school girls in the Providence, RI area.

GirlsGetMath occurs in an encouraging environment that builds young women's confidence in math and science.

GirlsGetMath expands participants' understanding and knowledge of mathematics through computations and experimentations.

GirlsGetMath provides expert mathematical training and mentoring.

GirlsGetMath will become a replicable national model of mathematical outreach for high school girls, with an emphasis on mathematical experimentation.

This five-day non-residential mathematics program is open to high school girls who live in or near the greater Providence, RI area who will be entering the 10th or 11th grade in the fall of 2018.

GirlsGetMath@ICERM encourages 20-25 young... (more)

##### Organizing Committee

- Ulrica Wilson
- Katharine Ott
- Amalia Culiuc

##### TRIPODS Summer Bootcamp: Topology and Machine Learning

Aug 6 - 10, 2018

Modern data analysis presents a variety of challenges, including the size, the dimensionality, the complexity, and the multiple-modality of the data. In an attempt to keep pace with these growing challenges, data scientists combine tools inspired from mathematics, from computer science, and from statistics. This TRIPODS Summer Bootcamp will provide attendees a hands-on introduction to emerging techniques for using topology with machine learning for the purpose of data analysis.

Topological and machine learning techniques potentially play complimentary roles for analyzing data. In topological data analysis, one leverages the fact that the shape of the data often reflects important and interpretable patterns within, although topological techniques alone typically cannot match the predictive power of machine learning. By contrast, machine learning algorithms provide state-of-the-art accuracies on predictive tasks, but the manner by which they arrive at a prediction is often difficult to... (more)

##### Organizing Committee

- Jeffrey Brock
- Yitzchak Solomon
- Henry Adams
- Bjorn Sandstede
- Melissa McGuirl

##### SageDays@ICERM: Combinatorics and Representation Theory

Jul 23 - 27, 2018

SageMath (sometimes Sage for short) is an open-source, general purpose mathematical software based on the Python programming language. It was created in 2005 by William Stein as a viable alternative to commercial software with an active and established community. SageMath has a broad library of functions useful to mathematicians in many fields, including combinatorics and representation theory. The welcoming and engaged community of users and contributors helps to create an environment of collaboration in both software development and mathematical research, leading to SageMath being cited in over 300 papers.

The study of the representation theories of certain algebras (e.g., Lie algebras, Hecke algebras, Khovanovâ€“Laudaâ€“Rouquier (KLR) algebras, quantum groups, etc.) also amounts to understanding the associated combinatorics. This has exposed deep connections between the associated representation theory and other areas of... (more)

##### Organizing Committee

- Travis Scrimshaw
- Gabriel Feinberg
- Darij Grinberg
- Ben Salisbury

##### Computational Aspects of Time Dependent Electromagnetic Wave Problems in Complex Materials

Jun 25 - 29, 2018

Forward simulations of the propagation and scattering of transient electromagnetic (EM) waves in complex media are important in a variety of applications, such as radar, environmental and medical imaging, noninvasive detection of cancerous tumors, design of engineered composites such as metamaterials, communication and computation, and global climate assessment, among others. These applications involve multiple spatial and temporal scales, complex geometries, spatial and temporal heterogeneities, and stochastic effects at small scales.

Biological tissues are complex media with inhomogeneous and frequency dependent (dispersive) properties. Analyses of EM wave interactions with biological media is fundamental in many medical applications, such as noninvasive diagnosis techniques, and for advancing the quality of medical imaging in general. Characterization of EM wave interaction with natural media is of great importance for environmental remote sensing and global climate assessment. In... (more)

##### Organizing Committee

- Vrushali Bokil
- Yingda Cheng
- Fengyan Li
- Shan Zhao
- Susan Hagness
- Fernando Teixeira

##### Fractional PDEs: Theory, Algorithms and Applications

Jun 18 - 22, 2018

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... (more)

##### Organizing Committee

- George Karniadakis
- Francesco Mainardi
- Mark Meerschaert
- Jie Shen
- Hong Wang

##### Summer@ICERM 2018: Low Dimensional Topology and Geometry

Jun 11 - Aug 3, 2018

Imagine spending eight-weeks on the beautiful Brown University campus in historic Providence, RI, working in a small team setting to solve mathematical research problems developed by faculty experts in their fields.

Imagine creating career-building connections between peers, near peers (graduate students and postdocs), and academic professionals.

Imagine spending your summer in a fun, memorable, and intellectually stimulating environment.

Now, imagine having this experience with support for travel within the U.S., room and board paid, plus a $3,500 stipend*.

The 2018 Summer@ICERM program at Brown University is an eight-week residential program designed for a select group of 16-20 undergraduate scholars from around the world.

The faculty advisers will present a variety... (more)

##### Organizing Committee

- Tarik Aougab
- Moira Chas
- William Goldman
- Jonah Gaster

##### Research Experiences for Undergraduate Faculty (REUF) at AIM, San Jose, CA

Jun 11 - 15, 2018

The American Institute of Mathematics (AIM), co-sponsored by ICERM, invites applications for the Research Experiences for Undergraduate Faculty (REUF) workshop to be held at AIM in San Jose, CA.

This workshop, sponsored by AIM, ICERM, and the National Science Foundation, is one in a series of annual REUF workshops that bring together leading research mathematicians with faculty at undergraduate institutions who are interested in involving their students in areas of active research. The workshop can also serve as a research renewal opportunity for faculty who want to re-engage in research or are considering a change of research area.

The goals of the workshop are to promote undergraduate research in undergraduate institutions, and to forge lasting research collaborations among the participating faculty. The majority of the workshop will be spent working on problems in small research groups, reporting on progress, and formulating plans for future work. In addition to the workshop... (more)

##### Frame Theory and Exponential Bases

Jun 4 - 8, 2018

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... (more)

##### Organizing Committee

- Alex Iosevich
- Mihalis Kolountzakis
- Shahaf Nitzan

##### Birational Geometry and Arithmetic

May 14 - 18, 2018

Recent developments in the minimal model program in positive characteristic and birational geometry have found purchase within arithmetic geometry, e.g., around questions of exceptional sets involved in Manin's conjecture on points of bounded height. In turn, arithmetic perspectives afforded by Manin's conjecture are starting to shed light on the geometry of spaces of rational curves.

Our goal in this workshop is to bring together two camps of geometers (birational and arithmetic) who have had few opportunities to interact on a large scale. We plan to focus on the interplay between theoretical developments and explicit constructions, e.g., in the study of Cox rings of Fano varieties, rationality problems, Manin's conjecture.

##### Organizing Committee

- Anthony Varilly-Alvarado
- Sho Tanimoto
- Yuri Tschinkel
- Asher Auel
- Marta Pieropan

##### Seminar on Stochastic Processes 2018

May 9 - 12, 2018

The Seminar on Stochastic Processes 2018 (SSP2018), will be held from May 9 through May 12, 2018 at Brown University, Providence, Rhode Island. From May 9 - 11 the meeting will take place at the Institute for Computational and Experimental Research in Mathematics (ICERM), and on May 12, the talks will take place at the main campus of Brown University.

The meeting is hosted by ICERM, the Division of Applied Mathematics and the Department of Mathematics at Brown University. It is supported by funds from the National Science Foundation and the Lefschetz Center for Dynamical Systems at the Division of Applied Mathematics at Brown University, and is co-sponsored by the Institute of Mathematical Statistics.

##### Computational Challenges in the Theory of Lattices

Apr 23 - 27, 2018

This workshop will focus on the computational aspects of the theory of Euclidean lattices and on their applications to other areas in mathematics and computer science. It will put emphasis on computational challenges on lattice problems that have recently arisen from unexpected connections to other domains such as algebraic topology, automorphic forms, or cryptography.

A major goal of this workshop is to bring together researchers from different areas, working with Euclidean lattices, and to facilitate their interactions.

Topics will include the reduction theory of lattices and its applications, Voronoi algorithms and their use to compute the cohomology of arithmetic groups, the classification of lattice genera and the computation of spaces of modular forms, the algorithmic aspects of lattice based cryptography, in particular the relationship between the security of cryptographic primitives and the hardness of lattice problems.

##### Organizing Committee

- Christopher Peikert
- Henry Cohn
- Renaud Coulangeon
- Akshay Venkatesh
- Christine Bachoc