This Week at ICERM
Numerical PDEs: Analysis, Algorithms, and Data Challenges
Jan 29 - May 3, 2024
This Semester Program will bring together both leading experts and junior researchers to discuss the current state-of-the-art and emerging trends in computational PDEs. While there are scores of numerical methodologies designed for a wide variety of PDEs, the program will be designed around three workshops each centered around a specific theme: PDEs and Geometry, Nonlocal PDEs, and Numerical Analysis of Multiphysics problems. This grouping of topics embodies a broad representation of computational mathematics with each set possessing its own skill set of mathematical tools and viewpoints. Nonetheless, all workshops will have the common theme of using rigorous mathematical theory to develop and analyze the convergence and efficiency of numerical methods. The diversity of the workshop topics will bring together historically distinct groups of mathematicians to interact and facilitate new ideas and breakthroughs.
Organizing Committee
- Marta D'Elia
- Johnny Guzman
- Brittany Hamfeldt
- Michael Neilan
- Maxim Olshanskiy
- Sara Pollock
- Abner Salgado
- Valeria Simoncini
An ICERM Public Lecture: Mathematicians Helping Art Historians and Art Conservators
May 2, 2024
In recent years, mathematical algorithms have helped the art historians and art conservators putting together fragments of world-famous frescos by Andrea Mantegna classify certain paintings as “roll mates,” remove artifacts in preparation for a restoration campaign, and gain insight into the hidden paintings underneath visible ones.
This lecture will review these applications and give a glimpse into the mathematical aspects that make them possible.
April 28, 2024
There are no events currently scheduled for April 28th.
April 29, 2024
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3:30 - 4:00 pm EDTCoffee Break11th Floor Collaborative Space
April 30, 2024
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12:00 - 1:00 pm EDTThe unfitted finite element methodPost Doc/Graduate Student Seminar - 11th Floor Conference Room
- Henry von Wahl, Friedrich Schiller University Jena
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3:30 - 4:00 pm EDTCoffee Break11th Floor Collaborative Space
May 1, 2024
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12:00 - 1:00 pm EDTEnd of Semester LunchWorking Lunch - 11th Floor Collaborative Space
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3:30 - 4:00 pm EDTCoffee Break11th Floor Collaborative Space
May 2, 2024
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3:30 - 4:00 pm EDTCoffee Break11th Floor Collaborative Space
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6:30 - 7:30 pm EDTMathematicians Helping Art Historians and Art ConservatorsPublic Lecture - 11th Floor Lecture Hall
- Ingrid Daubechies, Duke University
May 3, 2024
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3:30 - 4:00 pm EDTCoffee Break11th Floor Collaborative Space
May 4, 2024
There are no events currently scheduled for May 4th.
Numerical PDEs: Analysis, Algorithms, and Data Challenges
Jan 29 - May 3, 2024
This Semester Program will bring together both leading experts and junior researchers to discuss the current state-of-the-art and emerging trends in computational PDEs. While there are scores of numerical methodologies designed for a wide variety of PDEs, the program will be designed around three workshops each centered around a specific theme: PDEs and Geometry, Nonlocal PDEs, and Numerical Analysis of Multiphysics problems. This grouping of topics embodies a broad representation of computational mathematics with each set possessing its own skill set of mathematical tools and viewpoints. Nonetheless, all workshops will have the common theme of using rigorous mathematical theory to develop and analyze the convergence and efficiency of numerical methods. The diversity of the workshop topics will bring together historically distinct groups of mathematicians to interact and facilitate new ideas and breakthroughs.
Organizing Committee
- Marta D'Elia
- Johnny Guzman
- Brittany Hamfeldt
- Michael Neilan
- Maxim Olshanskiy
- Sara Pollock
- Abner Salgado
- Valeria Simoncini
Numerical PDEs: Analysis, Algorithms, and Data Challenges
Jan 29 - May 3, 2024
This Semester Program will bring together both leading experts and junior researchers to discuss the current state-of-the-art and emerging trends in computational PDEs. While there are scores of numerical methodologies designed for a wide variety of PDEs, the program will be designed around three workshops each centered around a specific theme: PDEs and Geometry, Nonlocal PDEs, and Numerical Analysis of Multiphysics problems. This grouping of topics embodies a broad representation of computational mathematics with each set possessing its own skill set of mathematical tools and viewpoints. Nonetheless, all workshops will have the common theme of using rigorous mathematical theory to develop and analyze the convergence and efficiency of numerical methods. The diversity of the workshop topics will bring together historically distinct groups of mathematicians to interact and facilitate new ideas and breakthroughs.
Organizing Committee
- Marta D'Elia
- Johnny Guzman
- Brittany Hamfeldt
- Michael Neilan
- Maxim Olshanskiy
- Sara Pollock
- Abner Salgado
- Valeria Simoncini
Numerical PDEs: Analysis, Algorithms, and Data Challenges
Jan 29 - May 3, 2024
This Semester Program will bring together both leading experts and junior researchers to discuss the current state-of-the-art and emerging trends in computational PDEs. While there are scores of numerical methodologies designed for a wide variety of PDEs, the program will be designed around three workshops each centered around a specific theme: PDEs and Geometry, Nonlocal PDEs, and Numerical Analysis of Multiphysics problems. This grouping of topics embodies a broad representation of computational mathematics with each set possessing its own skill set of mathematical tools and viewpoints. Nonetheless, all workshops will have the common theme of using rigorous mathematical theory to develop and analyze the convergence and efficiency of numerical methods. The diversity of the workshop topics will bring together historically distinct groups of mathematicians to interact and facilitate new ideas and breakthroughs.
Organizing Committee
- Marta D'Elia
- Johnny Guzman
- Brittany Hamfeldt
- Michael Neilan
- Maxim Olshanskiy
- Sara Pollock
- Abner Salgado
- Valeria Simoncini
An ICERM Public Lecture: Mathematicians Helping Art Historians and Art Conservators
May 2, 2024
In recent years, mathematical algorithms have helped the art historians and art conservators putting together fragments of world-famous frescos by Andrea Mantegna classify certain paintings as “roll mates,” remove artifacts in preparation for a restoration campaign, and gain insight into the hidden paintings underneath visible ones.
This lecture will review these applications and give a glimpse into the mathematical aspects that make them possible.
Numerical PDEs: Analysis, Algorithms, and Data Challenges
Jan 29 - May 3, 2024
This Semester Program will bring together both leading experts and junior researchers to discuss the current state-of-the-art and emerging trends in computational PDEs. While there are scores of numerical methodologies designed for a wide variety of PDEs, the program will be designed around three workshops each centered around a specific theme: PDEs and Geometry, Nonlocal PDEs, and Numerical Analysis of Multiphysics problems. This grouping of topics embodies a broad representation of computational mathematics with each set possessing its own skill set of mathematical tools and viewpoints. Nonetheless, all workshops will have the common theme of using rigorous mathematical theory to develop and analyze the convergence and efficiency of numerical methods. The diversity of the workshop topics will bring together historically distinct groups of mathematicians to interact and facilitate new ideas and breakthroughs.
Organizing Committee
- Marta D'Elia
- Johnny Guzman
- Brittany Hamfeldt
- Michael Neilan
- Maxim Olshanskiy
- Sara Pollock
- Abner Salgado
- Valeria Simoncini
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Upcoming Programs
An ICERM Public Lecture: Mathematicians Helping Art Historians and Art Conservators
May 2, 2024
In recent years, mathematical algorithms have helped the art historians and art conservators putting together fragments of world-famous frescos by Andrea Mantegna classify certain paintings as “roll mates,” remove artifacts in preparation for a restoration campaign, and gain insight into the hidden paintings underneath visible ones.
This lecture will review these applications and give a glimpse into the mathematical aspects that make them possible.
Interacting Particle Systems: Analysis, Control, Learning and Computation
May 6 - 10, 2024
Systems of interacting particles or agents are studied across many scientific disciplines. They are used as effective models in a wide variety of sciences and applications, to represent the dynamics of particles in physics, cells in biology, people in urban mobility studies, but also, more abstractly in the context of mathematics, as sample particles in Monte Carlo simulations or parameters of neural networks in machine learning.
This workshop aims at bringing together researchers in analysis, computation, inference, control and applications, to facilitate cross-fertilization and collaborations.
Organizing Committee
- Jose Carrillo
- Katy Craig
- Massimo Fornasier
- Fei Lu
- Mauro Maggioni
- Kavita Ramanan
The Ceresa Cycle in Arithmetic and Geometry
May 13 - 17, 2024
In the 1980s, Ceresa exhibited one of the first naturally occurring examples of an algebraic cycle, the Ceresa cycle, which is in general homologically trivial but algebraically nontrivial. In the last few years, there has been a renewed interest in the Ceresa cycle, and other cycle classes associated to curves over arithmetically interesting fields, and their interactions with analytic, combinatorial, and arithmetic properties of those curves. We hope to capitalize on this momentum to bring together different communities of arithmetic geometers to fully explore explicit computations around the arithmetic and geometry of cycles when these various approaches are systematically combined.
Organizing Committee
- Daniel Corey
- Jordan Ellenberg
- Wanlin Li
- Daniel Litt
- Congling Qiu
- Padmavathi Srinivasan
Random Matrices and Applications
May 20 - 22, 2024
This workshop focuses on the role of random matrices in data science, machine learning, and theoretical computer science.
Playing a significant role in modern data science, random matrices provide an elegant way to represent both (a) the data and (b) the way we process it. To give an example of (a), the classical model of high-dimensional data is a set of points drawn from a certain distribution in a high-dimensional space which can be represented as a random matrix. An even more natural example is that most data in practice is noisy, so it can be represented as a deterministic matrix plus a random noise, which is a random matrix with a non-zero mean. An example of (b) is data compression, which can be realized by applying a random matrix of smaller sizes to the data in (a), thereby reducing its dimensions. Another example is data completion, where we need to reconstruct data (in the form of a matrix) from a random sub-matrix, given that the original matrix satisfies certain... (more)
Organizing Committee
- Hoi Nguyen
- Oanh Nguyen
- Konstantin Tikhomirov
- Roman Vershynin
- Van Vu
Recent Progress on Optimal Point Distributions and Related Fields
Jun 3 - 7, 2024
Certain problems in mathematics, physics, and engineering are formulated as minimizing cost functions that take as input a set of points on a compact manifold. In applied and computational harmonic analysis one is usually interested in finding tight frames and equiangular tight frames, which are respectively minimizers of different cost functions. In quantum information theory, the study of SIC-POVMS is equivalent to the existence of a point configuration made of antipodal points on a complex sphere. There seems to be a phenomenon where highly symmetric configurations are optimizers and optimizers often exhibit (partial) symmetries. The theory of spherical designs in combinatorics and discrete geometry with applications in approximation theory in the form of cubature formulas is deeply related to point configurations and distributions. Training a neural network involves minimizing a cost function relating to the desired task; it was recently discovered that doing so often results in... (more)
Organizing Committee
- Dmitriy Bilyk
- Xuemei Chen
- Emily King
- Dustin Mixon
- Kasso Okoudjou
Summer@ICERM 2024: Mathematical Models to Predict, Prepare, and Prevent
Jun 10 - Aug 2, 2024
Mathematical modeling allows researchers to address questions and test hypotheses that may not be feasible to study otherwise. The Summer@ICERM 2024 faculty advisors will present a variety of research projects centered around approaches to using mathematical modeling for making predictions and determining associated preparations and necessary preventions in the fields of epidemiology, precision nutrition, and sports analytics. Faculty will guide the development of appropriate models and computational tools that can aid in answering fundamental questions in these fields.
During the eight-week program, students will be introduced to the research topics through interactive lectures. Afterward, students will work on their projects in assigned groups of two to four, supervised by faculty advisors and aided by teaching assistants. Students will meet daily; give regular talks about their findings; attend mini-courses, guest talks, and professional development seminars; and practice coding.... (more)
Organizing Committee
- Amanda Harsy Ramsay
- Adam Schultze
- Brittany Stephenson
- Cara Sulyok
Connect with ICERM
ICERM Spring 2024 Newsletter
Spring 2024 Newsletter - in this issue:
- Updates from Director Brendan Hassett
- Stepping Inside the Cahn-Hilliard Equation
- Propose a Program
- Upcoming Programs
- Upcoming Opportunities
- Monica Stephens: Building Bridges Between Spelman and ICERM
- Meet ICERM's Spring 2024 Postdoctoral Fellows
- Translating Community Storytelling to Data Storytelling
- Collaborating@ICERM: Web Bases, Promotion, and Plabic Graphs
- Probability Puzzle
ICERM Summer 2023 Newsletter
Summer 2023 Newsletter - In This Issue:
- Updates from Director Brendan Hassett
- Propose a Program
- Collaborating at ICERM: Order Preserving Braids and Vacillating Tableaux for Integer Sequences
- Mathematical Databases and AI: How a UConn Undergraduate Research Project Led to a Major Breakthrough
- Upcoming Opportunities
- ICERM Summers Support Undergraduate Students and Faculty
- Data Science and Social Justice Group Wants to Fight Genocide Using Algorithms
- Anderson's Method Accelerates at ICERM
- GirlsGetMath@ICERM 2023
- Make a Gift to ICERM
ICERM Fall 2023 Newsletter
Fall 2023 Newsletter - In This Issue:
- Updates from Director Brendan Hassett
- A Creative Approach to Math + Neuroscience
- Call for Proposals
- Upcoming Programs
- Upcoming Opportunities
- Introducing ICERM's Fall 2023 Postdoctoral Fellows
- Nathaniel Whitaker Returned to ICERM for "Unscripted," a Public Lecture
- Probability Puzzle
- Iris Horng: Building Networks at ICERM