2027

High Dimensional Probability and Analysis, Continuous and Discrete

Recent trends at the interface between information theory, probability, statistics and high-dimensional geometry raise new questions on the role and importance of entropy in the understanding of both asymptotic and finite range phenomena, in particular towards discrete structures and applications to areas such as quantum information, percolation and random matrices. Recent fruitful developments warrant imminent blossom of new ideas and results in this area in the near future.

Kinetic theory

Summary

Fundamentals of Density Functional Theory

<div class="tex2jax_process">Density Functional Theory (DFT) is a widely used computational method for addressing the quantum-mechanical many-body problem, with applications across fields such as quantum chemistry, materials science, geology, astrophysics, and biophysics. DFT-based simulations are used to study materials important for key technological and societal applications, with particular relevance to major challenges in Africa. Because of its broad relevance, DFT is an essential part of the training of master’s and PhD students.

Algebraic and Enumerative Combinatorics

<div class="tex2jax_process">The CIMPA School on Algebraic and Enumerative Combinatorics will take place from July 19–30, 2027 at Makerere University in Kampala, Uganda. The school aims to introduce graduate students and early-career researchers to modern developments in enumerative and algebraic combinatorics and their connections to other areas of mathematics and computer science.

Modern Perspectives on Partial Differential Equations: Theory and Applications

<div class="tex2jax_process">Partial Differential Equations (PDEs) are fundamental tools for modeling natural phenomena across the physical, biological, and social sciences, describing systems that evolve in space and time. This summer school, "Modern Perspectives on PDEs: Theory and Applications," explores classical foundations alongside the expanding frontier where PDEs intersect with data science and machine learning.

Deterministic mathematical models for biological processes

<div class="tex2jax_process">The school aims to introduce students and young researchers to several important research directions in mathematical biology, with a focus on deterministic mathematical models used to describe complex biological processes. These models play a central role in understanding phenomena such as population dynamics, epidemiology, tumor growth, and respiratory system functioning.

Algebraic Geometry (VI ELGA)

<div class="tex2jax_process">The VI Latin American School on Algebraic Geometry will take place at Universidad de Antioquia, Colombia from June 21st to July 2nd, 2027. This school aims to bring together graduate students, postdoctoral researchers, and young mathematicians from Latin America and beyond for an intensive program centered on some of the most active topics in contemporary Algebraic Geometry.

Geometry and Dynamics

The general theme of this school lies at the intersection of geometry and dynamics, focusing on the interactions between Riemannian and Lorentzian geometries on the one hand, and dynamical systems on the other. For instance, a Lorentzian, Riemannian, or more generally semi-Riemannian metric naturally gives rise to dynamical objects such as:
• the action of its isometry and conformal groups,
• the geodesic flow (a differential equation on the tangent bundle), and
• the Ricci flow (an evolution PDE on the space of all metrics).

Statistics for health

<div class="tex2jax_process">This school focuses on modern statistical and data science methods to analyze and understand diseases. Topics include the identification of risk factors for a disease, its prevalence and incidence, statistical analysis of historical data, and prediction of its future spread.

Organized by the Institute of Applied Statistics of the University of Burundi, this CIMPA School provides both theoretical foundations and practical applications of statistical techniques.

The program covers a wide range of topics, including:

Topological Data Analysis

<div class="tex2jax_process">The main theme of this CIMPA School is Topological Data Analysis (TDA), an emerging field at the intersection of topology and data science that uses tools from Algebraic Topology to understand the “shape” of data. This school will provide participants with both foundational and advanced topics in TDA, along with an introduction to its integration with Machine learning techniques.

2027