## Programs & Events

##### Nonlinear Algebra in Applications

Nov 12 - 16, 2018

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.

##### Organizing Committee

- Elisa Gorla
- Alicia Dickenstein
- Jonathan Hauenstein
- Caroline Uhler
- Yang-Hui He

##### Blackwell-Tapia Conference 2018

Nov 9 - 10, 2018

The NSF Mathematical Sciences Institutes Diversity Committee hosts the 2018 Blackwell-Tapia Conference and Awards Ceremony. This is the ninth conference since 2000, held every other year, with the location rotating among NSF Mathematics Institutes. The conference and prize honors David Blackwell, the first African-American member of the National Academy of Science, and Richard Tapia, winner of the National Medal of Science in 2010, two seminal figures who inspired a generation of African-American, Native American and Latino/Latina students to pursue careers in mathematics.

The Blackwell-Tapia Prize recognizes a mathematician who has contributed significantly to research in his or her area of expertise, and who has served as a role model for mathematical scientists and students from underrepresented minority groups, or has contributed in other significant ways to addressing the problem of underrepresentation of minorities in math.

The

##### Organizing Committee

- Ulrica Wilson
- Robert Megginson
- Jacqueline Hughes-Oliver
- Mariel Vazquez
- David Eisenbud
- Carlos Castillo-Chavez
- Brendan Hassett
- Robin Wilson

##### An ICERM Public Lecture: Mathematics: Rhyme and Reason

Nov 8, 2018

A little more than three years ago, while attending the Conference for African American Researchers in the Mathematical Sciences at ICERM, I spontaneously announced to ICERM Associate Director Ulrica Wilson that I thought I would write a book about the heart of mathematics. Then I went ahead and did it. What was I thinking?! Publishing Mathematics: Rhyme and Reason is akin to undressing publicly. So, what ends up being exposed? Well, among other things, I place in plain view relationships with people in my mathematical upbringing, some of whom popped into my life for better and, at least once, for worse. One will also see my life-long attachment to the simple truths of mathematics. The book is a message to the kid I was, with the assumption that such kids still exist. I present a large collection of theorems and call them nursery rhymes in the book, though I didnâ€™t stumble across a few of them until I was well beyond nursery-rhyme age. I also write about whether or not I have ever... (more)

##### Celebrating 75 Years of Mathematics of Computation

Nov 1 - 3, 2018

This symposium will highlight the progress in the mathematics of computation over the last few decades. The invited lectures will present historical surveys of important areas or overviews of topics of high current interest. Together they will provide a panoramic view of the most significant achievements in the past quarter century in computational mathematics and also the most important current trends.

The year 2018 marks the 75th anniversary of the founding of Mathematics of Computation, one of the four primary research journals of the American Mathematical Society and the oldest research journal devoted to computational mathematics. This symposium will commemorate the event with invited lectures and poster presentations that reflect the spectrum of research covered by Mathematics of Computation at this juncture of its illustrious history.

The first day of the symposium (November 1) is devoted to the discrete topics and the other two days (November 2-3) are devoted to continuous... (more)

##### Organizing Committee

- Chi-Wang Shu
- Igor Shparlinski
- Susanne Brenner
- Daniel Szyld

##### Real Algebraic Geometry and Optimization

Oct 15 - 19, 2018

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.

##### Organizing Committee

- Pablo Parrilo
- Cynthia Vinzant
- Greg Blekherman
- Rekha Thomas
- Didier Henrion

##### An ICERM Public Lecture: How to be Human in the Age of Algorithms

Sep 27, 2018

For decades, human activities and decisions have been supported by algorithms. They are the hidden rules and instructions that help our computers to process data and run complex calculations. But in recent years, algorithms have moved from a supporting to a starring role. As our machines have become more powerful, the algorithms have become more sophisticated - so much so that they are now in control of potentially life-changing decisions. In the courts, algorithms decide if jail time is warranted. In hospitals, they match organ donors to waiting patients. And on the streets, they steer driverless cars. In each of these scenarios, wrong decisions can lead to tragic outcomes.

In this talk, I'll explore our relationships with algorithms, the responsibilities we give them, and the impact they are having on our societies - including the good, the bad, and the downright ugly.

##### Core Computational Methods

Sep 17 - 21, 2018

This workshop will focus on core algorithms in the three crucial areas in nonlinear algebra: numerical algebraic geometry, symbolic computation, and combinatorial methods. There have been tremendous advances in algorithms in these areas. As applications become more sophisticated, and require more computing resources, the basic algorithms and implementations need to step up to match the demand from applications. This workshop will bring together experts to exchange ideas on new algorithms that are needed and on improvement of existing ones. It will incite collaboration on hybrid algorithms involving computational methods from the three areas. Examples of open problems to be addressed include: certification of numerical methods, and combining numerical, symbolic and combinatorial methods to allow a much larger reach for decomposition algorithms.

##### Organizing Committee

- Andrew Sommese
- Wolfram Decker
- Mike Stillman
- JesÃºs De Loera

##### Nonlinear Algebra Bootcamp

Sep 5 - 12, 2018

The primary goal of this opening workshop is to expose program participants to many of the methods and software packages relevant to this program. There will be introductory lectures and ample time for experimentation with methods and software under the tutelage of area experts and software developers.

##### Organizing Committee

- Mike Stillman
- Frank Sottile
- Jonathan Hauenstein
- Anton Leykin
- Cynthia Vinzant
- Dan Bates

##### Advances in PDEs: Theory, Computation and Application to CFD

Aug 20 - 24, 2018

Partial differential equations (PDEs) have long played crucial roles in the field of fluid dynamics. These PDE models, including Euler and Navier-Stokes equations for incompressible and compressible flows, kinetic equations for rarefied flows, and equations for more complex flows such as magneto-hydrodynamics flows, have motivated numerous studies from the theory of PDEs to the design and analysis of computational algorithms, and their implementation and application in computational fluid dynamics (CFD). This discipline is continually and dynamically evolving, constantly bringing forward new results in PDE theory, computation, and application to CFD, and also setting up the ground for generalizations to other related applications including electro-magnetics, fluid-structure interactions, cosmology, and computational electronics.

The aim of this workshop is to review the recent progress in the type of PDEs arising from fluid dynamics and other related physical areas, in terms of their... (more)

##### Organizing Committee

- Eitan Tadmor
- Anne Gelb
- Adi Ditkowski
- Alina Chertock
- Yvon Maday
- Jan Hesthaven
- Johnny Guzman
- Chi-Wang Shu
- Jennifer Ryan

##### 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 greater Rhode Island and who will be entering the 10th or 11th grade in the fall of 2018.

GirlsGetMath@ICERM encourages 20-25 young women to explore,... (more)

##### Organizing Committee

- Amalia Culiuc
- Katharine Ott
- Ulrica Wilson

##### 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

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