Programs & Events
VIRTUAL ONLY: Spectra LGBTQ+ in Mathematics Conference
Aug 18 - 20, 2021
Spectra, the Association for LGBTQ+ Mathematicians, was conceived in the last ten years with its first official event in 2015 -- a panel discussion at the JMM in San Antonio. Since then, Spectra has organized events at various conferences to bring together people of the LGBTQ+ community.
Spectra is organizing this conference to provide opportunities for LGBTQ+ mathematicians both to celebrate achievements and to spark conversations of challenges in our community. This will be a space for attendees to share their research across all areas of mathematics (theoretical, applied, and math education) and to interact and create support networks within and across their research communities.
Spectra is proud to organize its first official conference and create an intentional space for LGBTQ+ mathematicians. This will be an event where LGBTQ+ mathematicians at all career stages can interact and network with their peers. Further, it will facilitate discussions for creating better environments... (more)
Organizing Committee
- Rustum Choksi
- David Crombecque
- Alexander Hoover
- Brian Katz
- Freda Li
- Claire Plunkett
- Konstantina Trivisa
- Alexander Wiedemann
![Image for "VIRTUAL ONLY: Spectra LGBTQ+ in Mathematics Conference"](https://app.icerm.brown.edu/img/371_image.jpeg)
VIRTUAL ONLY: D-modules, Group Actions, and Frobenius: Computing on Singularities
Aug 9 - 13, 2021
The adoption of D-module techniques has transformed the interface between commutative algebra and algebraic geometry over the last two decades. The discovery of interactions and parallels with the Frobenius morphism has been an impetus for many new results, including new invariants attached to singularities but also D- and F-module based algorithms for computing quantities that used to be unattainable.
Our goal for this workshop is to discuss computational aspects and new challenges in singularity theory, focusing on special varieties that arise from group actions, canonical maps, or universal constructions. By bringing together geometers, algebraists, and invariant theorists, we will address problems from multiple perspectives. These will include comparisons of composition chains for D- and F-modules, the impact of group actions on singularity invariants, and the structure of differential operators on singularities in varying characteristics.
Organizing Committee
- Christine Berkesch
- Linquan Ma
- Claudia Miller
- Claudiu Raicu
- Uli Walther
![Image for "VIRTUAL ONLY: D-modules, Group Actions, and Frobenius: Computing on Singularities"](https://app.icerm.brown.edu/img/336_image.jpg)
VIRTUAL ONLY: Research Community in Algebraic Combinatorics
Aug 5 - 6, 2021
The Women in Algebraic Combinatorics Research Community will bring together researchers at all stages of their careers in algebraic combinatorics, from both research and teaching-focused institutions, to work in groups of 4-6, each directed by a leading mathematician. The goals of this program are: to advance the frontiers of cutting-edge algebraic combinatorics, including through explicit computations and experimentation, and to strengthen the community of women working in algebraic combinatorics.
Successful applicants will be assigned to a group based on their research interests. The groups will work on open problems in algebraic combinatorics and closely related areas, including representation theory, special functions, and discrete geometry. Several of the proposed projects will extensively involve experimentation and computation, which will increase the likelihood that concrete progress is made over the course of the initial workshop and following 6 months, and provide useful... (more)
Organizing Committee
- Susanna Fishel
- Pamela E. Harris
- Rosa Orellana
- Stephanie van Willigenburg
VIRTUAL ONLY: Applications of Rough Paths: Computational Signatures and Data Science
Jul 6 - 9, 2021
Rough path theory emerged as a branch of stochastic analysis to give an improved approach to dealing with the interactions of complex random systems. In that context, it continues to resolve important questions, but its broader theoretical footprint has been substantial. Most notable is its contribution to Hairerâs Fields-Medal-winning work on regularity structures. At the core of rough path theory is the so-called signature transform which, while being simple to define, has rich mathematical properties bringing in aspects of analysis, geometry, and algebra. Hambly and Lyons (Annals of Math, 2010) built upon earlier work of Chen, showing how the signature represents the path uniquely up to generalized reparameterizations. This turns out to have practical implications allowing one to summarise the space of functions on unparameterized paths and data streams in a very economical way.
Over the past five years, a significant strand of applied work has been undertaken to exploit the... (more)
Organizing Committee
- Thomas Cass
- Terry Lyons
- Hao Ni
- Harald Oberhauser
- Mihaela van der Schaar
![Image for "VIRTUAL ONLY: Applications of Rough Paths: Computational Signatures and Data Science"](https://app.icerm.brown.edu/img/348_image.png)
VIRTUAL ONLY: Computational Aspects of Discrete Subgroups of Lie Groups
Jun 14 - 18, 2021
This workshop is at the interface of algebra, geometry, and computer science. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representations of groups and their geometric properties. The setting of linear Lie groups is amenable to calculation and modeling transformations, thus providing a bridge between algebra and its applications.
The main goal of the proposed workshop is to synergize and synthesize the independent strands in the area of computational aspects of discrete subgroups of Lie groups. We aim to facilitate solutions of theoretical problems by means of recent advances in computational algebra and additionally stimulate development of computational algebra oriented to other mathematical disciplines and applications.
Organizing Committee
- Alla Detinko
- Michael Kapovich
- Alex Kontorovich
- Peter Sarnak
- Richard Schwartz
![Image for "VIRTUAL ONLY: Computational Aspects of Discrete Subgroups of Lie Groups"](https://app.icerm.brown.edu/img/342_image.jpg)
VIRTUAL ONLY: Advances and Challenges in Hyperbolic Conservation Laws
May 17 - 21, 2021
In the field of hyperbolic conservation laws, theory, computation, and applications are deeply connected, with each one providing to the other two technical support as well as insights. Major progress has been achieved, over the past 40 years, on the theory and computation of solutions in one space dimension. By contrast, the multi-space dimensional case is still covered by mist, which is now gradually lifting, revealing new vistas. For instance, in two space dimensions, significant progress has been achieved in the study of transonic gas flow, of central importance to aerodynamics. Parallel progress has been reported on the numerical side, with the design of high-order accurate discontinuous Galerkin and finite volume computational schemes, even for multidimensional systems. Finally, we are witnessing an explosion in the applications, not only on the traditional turf of fluid dynamics but also in new directions, in materials science, biology, traffic theory, etc.
Nevertheless, the... (more)
Organizing Committee
- Alberto Bressan
- Gui-Qiang Chen
- Constantine Dafermos
- Fengyan Li
- Chi-Wang Shu
- Eitan Tadmor
- Konstantina Trivisa
- Dehua Wang
![Image for "VIRTUAL ONLY: Advances and Challenges in Hyperbolic Conservation Laws"](https://app.icerm.brown.edu/img/341_image.png)
VIRTUAL ONLY: USTARS
Apr 29 - 30, 2021
The primary mission of the Underrepresented Students in Topology and Algebra Research Symposium (USTARS) is to showcase the excellent research conducted by underrepresented students studying topology and algebra. Dedicated to furthering the success of underrepresented students, USTARS seeks to broaden participation in the mathematical sciences by cultivating research and mentoring networks. USTARS is open to all people interested in the topological and algebraic fields.
A note from the organizing committee:
Applicants, for those wanting to give a talk at the conference there is an application deadline of February 26 at 11:59 pm for speakers in order to make a timely decision. We have funding from the NSA for some per diem for both days of the conference, which will also be decided from applicants who apply by the deadline. If you do receive funding, you are required to attend the entire conference.
Organizing Committee
- Robyn Brooks
- Ty Frazier
- Paige Helms
- Ryan Moruzzi Jr
- Anisah Nu’Man
- Christopher O'Neill
- Javier Ronquillo Rivera
- Sherilyn Tamagawa
![Image for "VIRTUAL ONLY: USTARS"](https://app.icerm.brown.edu/img/357_image.png)
VIRTUAL ONLY: Symmetry, Randomness, and Computations in Real Algebraic Geometry
Aug 24 - 28, 2020
Real algebraic (and semi-algebraic) geometry studies subsets of R^n defined by a finite number of polynomial equalities and inequalities. Such sets occur ubiquitously in practice both inside and outside of mathematics. While being easy to define, semi-algebraic sets can be complicated topologically, which restricts the application of many algorithms. In recent years, there has been progress in proving much stronger results â both quantitative and algorithmic -- when the problem under consideration involves the invariance under some group action.
In this workshop, we plan to focus on two situations where this phenomenon happens.
The first one is the statistical study of the topology of random real algebraic varieties as well as semi-algebraic sets, where the polynomials defining these objects are picked from a distribution invariant under the action of a certain group (usually the orthogonal group) acting on the space of variables. The behavior of the set of zeros (or more... (more)
Organizing Committee
- Saugata Basu
- Antonio Lerario
- Annie Raymond
- Cordian Riener
![Image for "VIRTUAL ONLY: Symmetry, Randomness, and Computations in Real Algebraic Geometry"](https://app.icerm.brown.edu/img/320_image.png)
VIRTUAL ONLY: Free Resolutions and Representation Theory
Aug 3 - 7, 2020
The structure of free resolutions plays an important role in analyzing singularities of varieties of low codimension. Codimension 2 Cohen-Macaulay varieties (resp. codimension 3 Gorenstein varieties) come from rank conditions on an n x (n+1) matrix (resp. a skew-symmetric (2n+1) x (2n+1) matrix).
This workshop seeks to push such results to Cohen-Macaulay varieties of codimension 3 and Gorenstein varieties of codimension 4.
This problem turns out to be related to the classification of semi-simple Lie algebras. These new methods allow one to create a âmapâ of free resolutions of a given format. The calculations that arise are very demanding and require new computational methods involving both commutative algebra and representation theory.
The organizers have shared two sets of notes for attendees to review before the workshop. These are downloadable here:
Organizing Committee
- Lars Christensen
- Claudia Miller
- Steven Sam
- Jerzy Weyman
![Image for "VIRTUAL ONLY: Free Resolutions and Representation Theory"](https://app.icerm.brown.edu/img/313_image.jpg)
VIRTUAL ONLY: Women in Algebraic Geometry
Jul 27 - 31, 2020
The Women in Algebraic Geometry Collaborative Research Workshop will bring together researchers in algebraic geometry to work in groups of 4-6, each led by one or two senior mathematicians. The goals of this workshop are: to advance the frontiers of modern algebraic geometry, including through explicit computations and experimentation, and to strengthen the community of women and non-binary mathematicians working in algebraic geometry. This workshop capitalizes on momentum from a series of recent events for women in algebraic geometry, starting in 2015 with the IAS Program for Women in Mathematics on algebraic geometry.
Successful applicants will be assigned to a group based on their research interests. The groups will work on open-ended projects in diverse areas of current interest, including moduli spaces and combinatorics, degenerations, and birational geometry. Several of the proposed projects extensively involve experimentation and computation, which will increase the likelihood... (more)
Organizing Committee
- Melody Chan
- Antonella Grassi
- Rohini Ramadas
- Julie Rana
- Isabel Vogt
![Image for "VIRTUAL ONLY: Women in Algebraic Geometry"](https://app.icerm.brown.edu/img/299_image.jpg)
VIRTUAL ONLY: Geometry Labs United Conference
Jul 16 - 17, 2020
Experimental geometry labs create an environment ripe for students and faculty to treat mathematics as a laboratory science. Visualization and computational pattern discovery help guide research, formulate conjectures and develop ideas in proofs. In addition to research, experimental geometry labs foster community engagement via grassroots outreach activities in local schools, libraries, and museums. These activities spread the wonder and excitement of mathematics to people both within and outside the academy.
This workshop is partially supported by the Department of Mathematical Sciences and the College of Science at George Mason University.
For this workshop, ICERM welcomes applications from undergraduates, graduates, postdocs, and faculty who wish to participate. Undergraduate students and graduate students who apply should ask their advisor to submit a statement of support by July 3. We will ask students to present their work.
Organizing Committee
- William Goldman
- Sean Lawton
- Jack Love
- Anton Lukyanenko
![Image for "VIRTUAL ONLY: Geometry Labs United Conference"](https://app.icerm.brown.edu/img/326_image.png)
VIRTUAL ONLY: Circle Packings and Geometric Rigidity
Jul 6 - 10, 2020
This workshop brings together two distinct streams of mathematics - on the one hand, the classical rigidity theory of bar-joint frameworks in combinatorics and discrete geometry, and on the other the theory of generalized circle packings that arose from the study of 3-manifolds in geometric topology.
Combinatorial and Geometric rigidity theory is concerned with the local and global uniqueness of congruence classes of frameworks as solutions to their underlying geometric constraint system.
The focal point of circle packing theory is the Koebe-Andre'ev-Thurston Theorem that gives conditions that guarantee the existence and rigidity of circle packings on closed surfaces in the pattern of a given triangulation of the surface.
A scattering of results in recent years has started to forge connections between these research areas. The main aim of the workshop is to develop a cross-fertilization of such ideas, with particular emphasis on the rigidity of inversive distance packings. As well... (more)
Organizing Committee
- Philip Bowers
- John Bowers
- Robert Connelly
- Steven Gortler
- Miranda Holmes-Cerfon
- Anthony Nixon
![Image for "VIRTUAL ONLY: Circle Packings and Geometric Rigidity"](https://app.icerm.brown.edu/img/321_image.png)