Collaborate@ICERM offers teams of 3-6 researchers the opportunity to spend five days at the institute during the summer (May-August) or in the month of January.

The team research project should have a computational or experimental component. ICERM provides access to a variety of software packages as well as to high performance computing through Brown's Center for Computation and Visualization.

Interested in forming your own Collaborate@ICERM group? See our proposals page to learn more about the Collaborate@ICERM Proposal Process.

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Current & Upcoming Collaborate@ICERM Groups

Vacillating Tableaux for Integer Sequences
Jul 15 - 19, 2024
  • CUNY Baruch College
  • Zhanar Berikkyzy
    Fairfield University
  • Texas A&M University
  • Chenchen Zhao
    University of California, Davis
The Construction of Locally Recoverable Quasi-Cyclic Codes with Multiple Generators
Jul 22 - 26, 2024
  • Embry-Riddle Aeronautical University, Prescott
  • Gustavo Bastos
    Federal University of São João del-Rei (UFSJ)
  • Zachary Flores
    Two Six Technologies
The Persistent Topology of Hypergraphs
Aug 5 - 9, 2024
Roots of Bernstein–Sato Polynomials via Positive Characteristic Methods
Aug 5 - 9, 2024
Randomized Algorithms for Tensor Problems with Factorized Operations or Data
Aug 12 - 16, 2024
Theory and algorithms for reduced order modelings
Aug 12 - 16, 2024
Microlocal Analysis and Statistical Methods in Tomography
Aug 19 - 23, 2024
  • Anuj Abhishek
    Case Western Reserve University
  • The University of Texas at Arlington
  • Rochester Institute of Technology
  • Sean Holman
    University of Manchester
  • Venkateswaran Krishnan
    TIFR Centre for Applicable Mathematics, India
  • University of Limerick
  • Tufts University
  • James Webber
    Brigham and Women's Hospital
Lagrangian Relaxation Beyond Boundedness And Rationality
Aug 19 - 23, 2024

Past Collaborate@ICERM Groups

Counting Sections of Fano Fibrations
Jul 8 - 12, 2024
A Computational Approach to Plethysm
Jun 24 - 28, 2024
Isoperimetric inequality in the 3d cube
Jun 17 - 21, 2024
  • Gioacchino Antonelli
    Courant Institute
  • Institute for Advanced Study and Princeton University
Macdonald Polynomials and Catalanimals
Jun 17 - 21, 2024
Connections Between Alcoved and Flow Polytopes
Jun 10 - 14, 2024
Hyperkahler Manifolds and Special Cubic Fourfolds
Jun 10 - 14, 2024
Modeling and Analysis of Candidate Momentum in U.S. Primary Elections Using Campaign Contributions
May 13 - 17, 2024
Mathematical Modeling, Deep Learning and Optimization on Graph Structured Data
May 13 - 17, 2024
Web Bases, Promotion, and Plabic Graphs
Jan 22 - 26, 2024
Rational Genus 2 Curves with Real Multiplication
Aug 14 - 18, 2023
Explicit Arithmetic of Shimura Curves
Aug 14 - 18, 2023
Fixed-Group Conjugacy Classes of Unipotent Elements in Symmetric Spaces of SpecialLinear Groups over a Finite Field of Characteristic 2
Aug 7 - 11, 2023
Vacillating Tableaux for Integer Sequences
Jun 12 - 16, 2023
  • CUNY Baruch College
  • Zhanar Berikkyzy
    Fairfield University
  • Texas A&M University
  • Chenchen Zhao
    University of Southern California
Order Preserving Braids
Jun 5 - 9, 2023
Milnor forms of algebraic singularities
May 15 - 19, 2023
  • C-Y. Chan
    Central Michigan University
  • Thomas Hagedorn
    The College of New Jersey
  • Niagara University
  • Michael Wijaya
    Unaffiliated
Computing Volumes of Flow Polytopes
May 15 - 19, 2023
Web Bases, Promotion, and Plabic Graphs
May 8 - 12, 2023
Learning Temporal Representations of Dynamic Networks for Anomaly Detection and Community Discovery
May 8 - 12, 2023
  • Mazlum Ferhat Arslan
    Middle East Technical University
  • George Mason University
  • Emily Evans
    Brigham Young University
  • Case Western Reserve University
  • Emilie Purvine
    Pacific Northwest National Laboratory
The stability of pattern-forming fronts in the FitzHugh-Nagumo system
Jan 23 - 27, 2023
Bridging Modeling Modalities and Experimental Data with Equation Learning
Jan 23 - 27, 2023
  • Daniel Bergman
    University of Michigan
  • Trachette Jackson
    University of Michigan
  • Harsh Jain
    University of Minnesota Duluth
  • Bard College
Special Subvarieties of Hypersurfaces
Jan 9 - 13, 2023
Dynamical algebraic combinatorics of permutations, interval closed sets, and knots
Jan 9 - 13, 2023
Point Configurations on Projective Varieties
Jan 9 - 13, 2023
Quantum Error Correction
Aug 15 - 19, 2022
Modeling Dynamic Behavior in Evolving Networks
Aug 15 - 19, 2022
  • George Mason University
  • Emily Evans
    Brigham Young University
  • Case Western Reserve University
  • Emilie Purvine
    Pacific Northwest National Laboratory
  • Middle East Technical University
Optimal Pots for Tile-Based Self-Assembly of DNA Complexes
Aug 8 - 12, 2022
Experimental Validation of Observed Principles of Optimal Deep Networks
Jul 18 - 22, 2022
Topological Applications of Khovanov Homology and Related Link Homologies
Jul 18 - 22, 2022
Configuration spaces of graphs and moduli spaces of tropical curves
Jul 11 - 15, 2022
Impartial Achievement and Avoidance Games for Generating Finite Groups
Jul 11 - 15, 2022
PSL(2; F) Representations of Homology Spheres
Jul 11 - 15, 2022
  • Neil Hoffman
    Oklahoma State University
  • Kathleen Petersen
    University of Minnesota Duluth
  • University of Illinois at Urbana-Champaign
Arithmetical Structures on Graphs
Jun 6 - 10, 2022
Algebraic Combinatorics of Weighted Oriented Graphs
Jun 6 - 10, 2022
  • Jennifer Biermann
    Hobart and William Smith Colleges
  • University of Utah
  • Kuei-Nuan Lin
    Penn State University, Greater Allegheny
  • Augustine O'Keefe
    Connecticut College
Practical Computation with Infinite Linear Groups
Jun 6 - 10, 2022
Improvements to Algorithms Around S-Unit Equations
May 23 - 27, 2022
Moduli of I-Surfaces Via Wall Crossing
May 16 - 20, 2022
Explicit Galois Representations of Genus 2 Curves
May 16 - 20, 2022
  • Barinder Banwait
    None
  • Armand Brumer
    Fordham University
  • Hyun Jong Kim
    University of Wisconsin-Madison
  • University of Illinois at Chicago
  • University of Georgia
  • Brown University
The Energy Strip for Codes in Polynomial Metric Spaces
May 9 - 13, 2022
Stochastic Theory for Data-Driven Paleoecosystem Models
May 9 - 13, 2022
Higher Fano Manifolds
May 9 - 13, 2022
Numerical Algebraic Geometry and Tropical Geometry
Jan 18 - 21, 2022
Topics in Tame Galois Theory
Jan 10 - 14, 2022
Tropical degree two del Pezzo surfaces and their 56 lines
Aug 16 - 20, 2021
Codes and Designs: Optimal Discrete Measures
Aug 9 - 13, 2021
Linearly and Nonlinearly Stable Space-Time Discretizations with Application to h/p/r-adaptation
Aug 2 - 6, 2021
  • NASA Langley Research Center
  • King Abdullah University of Science and Technology
  • National Institute of Aerospace contracted to NASA
  • Ayaboe Edoh
    ERC, Inc. (AFRL Edwards)
  • Matteo Parsani
    King Abdullah University of Science and Technology
Matroids over Partial Hyperstructures
Jul 19 - 23, 2021
Numerical Methods for Fokker-Planck Equation and Its Inverse
Jun 28 - Jul 2, 2021
  • University of California, Irvine
  • UCLA
  • Huijing Du
    University of Nebraska-Lincoln
  • Yuan Liu
    Wichita State University
Mathematical Models of Pedestrian Movement in Large Lecture Halls
Jun 21 - 25, 2021
Fast and Accurate Simulation of Waves in Layered Media
Jan 13 - 17, 2020
  • University of Massachusetts Lowell
  • Lingyun Ding
    The University of North Carolina at Chapel Hill
  • Hao Gao
    University of Illinois at Urbana-Champaign
  • UNC
  • Djeneba Kassambara
    University of Massachusetts Lowell
  • University of Illinois at Urbana-Champaign
  • zhuochao tang
    University of North Carolina at Chapel Hill
Improved Results for Root Discriminant Bounds in Towers of Number Fields and Tame Tate-Shafarevich Groups
Jan 6 - 10, 2020
Fault Tolerant Power Domination and Zero Forcing
Aug 12 - 16, 2019
  • Katherine Benson
    University of Wisconsin-Stout (Menomonie, WI, US)
  • Texas State University
  • Mary Flagg
    University of St. Thomas
  • Veronika Furst
    Fort Lewis College
  • Utah Valley University
The Tropical Convex Hull of Convex Sets
Jul 15 - 19, 2019
The Geometry of Nash Blowups of Schubert Varieties, Fiber Products of Resolutions, and Peterson Translation
Jul 8 - 12, 2019
Higher Dimensional Post-Critically Finite Maps on Projective Space
Jul 8 - 12, 2019
Geometry of Data and Networks
Jun 17 - 21, 2019
Widening the scope of Accuracy Enhancing Filters
May 13 - 17, 2019
  • Julia Docampo Sanchez
    MASSACHUSETTS INSTITUTE OF TECHNOLOGY
  • MIT
  • Gustaaf Jacobs
    San Diego State University
  • Xiaozhou Li
    University of Electronic Science and Technology of China
  • University of East Anglia and Heinrich Heine University
A Broken Circuit Model For Chromatic Symmetric Homology
Feb 4 - 8, 2019
Topological Data Analysis and Music Information Retrieval
Jan 7 - 11, 2019
Mean Reeb Graphs
Aug 20 - 24, 2018
Asymptotic Topology of the Perceptron Model
Aug 13 - 17, 2018
Circle Packings and Geometric Rigidity
Aug 6 - 10, 2018
Control and Analysis of Large-Scale Time-Varying Data
Aug 6 - 10, 2018
High Order Semi-implicit IMEX WENO Schemes for Isentropic Euler System with All-Mach Number
Jul 23 - 27, 2018
Unipotent elements of the symmetric spaces of SL3(k) and SL4(k)
Jul 16 - 20, 2018
Adaptive Multilevel Monte Carlo Finite Element Methods: Overcoming Complex Physics in Subsurface Flow through Efficient Computing
Jun 11 - 15, 2018
Orbit decompositions of the symmetric spaces of SLn(k)
Aug 7 - 11, 2017
Kirrillov-Reshetikhin Supercrystals
Jul 31 - Aug 4, 2017
Iterating evolutes and involutes in the spherical and hyperbolic geometries.
Jul 31 - Aug 4, 2017
Hyperplane Arrangements
Jul 31 - Aug 4, 2017
Towards the Classification of Arithmetic Hyperbolic Reflection Groups
Jul 17 - 21, 2017
Local representations of paramodular forms
Jun 12 - 16, 2017
Interplay among hypersurface singularities, Hodge theory and the moduli of hyper-surfaces and their hyperplane sections.
May 15 - 19, 2017
How to Compute Localized Entropy
Jan 23 - 27, 2017
Solving S-Unit Equations in Sage
Jan 9 - 13, 2017
Turbulent Flows
Aug 1 - 5, 2016
Computational Arithmetic Dynamics
Jul 25 - 29, 2016
Hilbert Series of Sympletic Torus Quotients
Jul 11 - 15, 2016
On the Structure of Orbit Decompositions of the generalized symmetric spaces of SLn(k)
Jul 11 - 15, 2016
Compatible Discretizations for Efficient Uncertainty Quantification of Magneto-Hydro-Dynamic (MHD) Models
Jun 6 - 10, 2016

Publications

Quantum Error Correction

  • Eduardo Camps-Moreno, Hiram H. López, Gretchen L. Matthews, Diego Ruano, Rodrigo San-José, Ivan Soprunov, The poset of binary CSS-T quantum codes and cyclic codes, arXiv:2312.17518, 2023.
  • Sarah E. Anderson, Eduardo Camps-Moreno, Hiram H. López, Gretchen L. Matthews, Diego Ruano, Ivan Soprunov, Relative hulls and quantum codes, arXiv:2212.14521, 2023.

Optimal Pots for Tile-Based Self-Assembly of DNA Complexes

  • Leyda Almodóvar, Jo Ellis-Monaghan, Amanda Harsy, Cory Johnson, Jessica Sorrells, Computational complexity and pragmatic solutions for flexible tile based DNA self-assembly, arXiv:2108.00035, 2021.

Topological Applications of Khovanov Homology and Related Link Homologies

  • Christine Ruey Shan Lee, Stable Khovanov homology and Volume, arXiv:2307.09903, 2023.

Configuration spaces of graphs and moduli spaces of tropical curves

  • Christin Bibby, Melody Chan, Nir Gadish, Claudia He Yun, A Serre spectral sequence for the moduli space of tropical curves, arXiv:2307.01960, 2023.
  • Christin Bibby, Melody Chan, Nir Gadish, Claudia He Yun, A Serre spectral sequence for the moduli space of tropical curves, arXiv:2307.01960, 2023.

Impartial Achievement and Avoidance Games for Generating Finite Groups

  • Bret J. Benesh, Dana C. Ernst, Marie Meyer, Sarah Salmon, Nandor Sieben, Impartial geodetic building games on graphs, arXiv:2307.07095, 2023.

Arithmetical Structures on Graphs

  • Kassie Archer, Alexander Diaz-Lopez, Darren Glass, Joel Louwsma, Critical groups of arithmetical structures on star graphs and complete graphs, arXiv:2301.02114, 2023.

Practical Computation with Infinite Linear Groups

  • Yukun Du, Geometry of Selberg's bisectors in the symmetric space $SL(n,\mathbbR)/SO(n,\mathbbR)$, arXiv:2302.00643, 2023.
  • A. S. Detinko, D. L. Flannery, A. Hulpke, Zariski density and computing with $S$-integral groups, arXiv:2303.06236, 2023.
  • A. S. Detinko, D. L. Flannery, A. Hulpke, Freeness and $S$-arithmeticity of rational M\"obius groups, arXiv:2203.17201, 2022.
  • Alexander Hulpke, Proving infinite index for a subgroup of matrices, arXiv:2110.04359, 2022.

Explicit Galois Representations of Genus 2 Curves

  • Barinder S. Banwait, Armand Brumer, Hyun Jong Kim, Zev Klagsbrun, Jacob Mayle, Padmavathi Srinivasan, Isabel Vogt, Computing nonsurjective primes associated to Galois representations of genus $2$ curves, arXiv:2301.02222, 2023.

The Energy Strip for Codes in Polynomial Metric Spaces

  • Peter Boyvalenkov, Peter Dragnev, Douglas Hardin, Edward Saff, Maya Stoyanova, Universal minima of discrete potentials for sharp spherical codes, arXiv:2211.00092, 2023.
  • Peter Boyvalenkov, Peter Dragnev, Douglas Hardin, Edward Saff, Maya Stoyanova, On polarization of spherical codes and designs, arXiv:2207.08807, 2022.
  • Peter Boyvalenkov, Peter Dragnev, Douglas Hardin, Edward Saff, Maya Stoyanova, On polarization of spherical codes and designs, arXiv preprint arXiv:2207.08807 (2022).

Higher Fano Manifolds

  • Carolina Araujo, Roya Beheshti, Ana-Maria Castravet, Kelly Jabbusch, Svetlana Makarova, Enrica Mazzon, Nivedita Viswanathan, Will Reynolds, The minimal projective bundle dimension and toric $2$-Fano manifolds, arXiv:2301.00883, 2023.

Numerical Algebraic Geometry and Tropical Geometry

  • Isaac Holt, Yue Ren, Generic root counts of tropically transverse systems -- An invitation to tropical geometry in OSCAR, arXiv:2311.18018, 2023.
  • Yue Ren, On intersections and stable intersections of tropical hypersurfaces, arXiv:2302.12335, 2023.
  • Paul Alexander Helminck, Yue Ren, Generic root counts and flatness in tropical geometry, arXiv:2206.07838, 2022.
  • Herbert Gangl, Yue Ren, Ziva Urbancic, Hands-on Tropical Geometry, arXiv:2304.10130, 2023.
  • Tianran Chen, A stratified polyhedral homotopy method for sampling positive dimensional zero sets of polynomial systems, arXiv:2304.08598, 2023.
  • Tianran Chen, Evgeniia Korchevskaia, Julia Lindberg, On the typical and atypical solutions to the Kuramoto equations, arXiv:2210.00784, 2022.
  • Grigoriy Blekherman, Felipe Rincón, Rainer Sinn, Cynthia Vinzant, Josephine Yu, Moments, Sums of Squares, and Tropicalization, arXiv:2203.06291, 2022.
  • Felipe Rincón, Cynthia Vinzant, Josephine Yu, Positively Hyperbolic Varieties, Tropicalization, and Positroids, arXiv:1907.08545, 2021.

Topics in Tame Galois Theory

  • Farshid Hajir, Christian Maire, Ravi Ramakrishna, On tame $\mathbb Z/p\mathbb Z$ extensions with prescribed ramification, arXiv:2208.05007, 2022.
  • Farshid Hajir, Christian Maire, Ravi Ramakrishna, On Ozaki's theorem realizing prescribed $p$-groups as $p$-class tower groups, arXiv:2204.08408, 2022.
  • Farshid Hajir, Christian Maire, Ravi Ramakrishna, Deficiency of p-Class Tower Groups and Minkowski Units, arXiv:2103.09508, 2021.
  • Farshid Hajir, Christian Maire, Ravi Ramakrishna, On the Shafarevich Group of Restricted Ramification Extensions of Number Fields in the Tame Case, arXiv:1909.03689, 2019.

Codes and Designs: Optimal Discrete Measures

  • Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin, Ryan W. Matzke, Josiah Park, Oleksandr Vlasiuk, Potential theory with multivariate kernels, Mathematische Zeitschrift 301 (2022) no. 3, 2907–2935.
  • Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin, Ryan W. Matzke, Josiah Park, Oleksandr Vlasiuk, Optimal Measures for Multivariate Geometric Potentials, arXiv:2303.14258, 2023.
  • Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin, Ryan Matzke, Josiah Park, Oleksandr Vlasiuk, Optimizers of three-point energies and nearly orthogonal sets, arXiv:2303.12283, 2023.

Matroids over Partial Hyperstructures

  • Matthew Baker, Oliver Lorscheid, Tianyi Zhang, Foundations of matroids -- Part 2: Further theory, examples, and computational methods, arXiv:2310.19952, 2023.
  • Matthew Baker, Oliver Lorscheid, On a theorem of Lafforgue, arXiv:2309.01746, 2023.
  • Matthew Baker, Oliver Lorscheid, Lift theorems for representations of matroids over pastures, arXiv:2107.00981, 2021.

Mathematical Models of Pedestrian Movement in Large Lecture Halls

  • Joseph Benson, Mariya Bessonov, Korana Burke, Simone Cassani, Maria-Veronica Ciocanel, Daniel B. Cooney, Alexandria Volkening, How do classroom-turnover times depend on lecture-hall size?, arXiv:2206.06199, 2022.