PhD

The program will focus on such general methods, including Busemann function and concentration-of-measure techniques, while keeping an eye on methods that may be carried over from the exactly solvable setting.?

This summer school aims to equip young researchers with skills required to use modern computational tools and to provide them a platform to interact with experts from different mathematical fields, including computer algebra systems.

The program will showcase an array of techniques employed to investigate Zariski-dense subgroups but the focus will be on the use of methods from algebraic and analytic number theory and arithmetic theory of algebraic groups.

The aim of the program is to familiarise and enthuse younger researchers in India about the latest advances in the subject with a particular emphasis on computational aspects of (co)homological, combinatorial and polynomial invariants of knots.

The principal aim of this program is to bring together leading experts in these interdisciplinary research areas and, foster interaction and collaborations. A secondary goal is to provide a learning experience for students, fellows and young researchers.

The workshop has been designed to introduce the participants to different facets of additive combinatorics such as the Ramsey theory, inverse problems, polynomial methods, sum-free sets and more. It will also touch upon topics such as the work of B. Green and T. Tao, on long arithmetic progressions in the primes and Sieve methods from number theory.

The School will cover topics such as rapid microbial adaptation, robustness and evolvability, evolution of complex traits, maternal inheritance, and evolution of genetic systems. For each topic, lectures will begin with basic concepts and end with recent advances in the field.

The course will focus on the interplay between the linear representations of the fundamental groups and to achieve the goal using the notion of 'special' manifolds, which generalise rational and elliptic curves.

The meeting is to be held in conjunction with a set of three Turing Lectures, to be delivered by Professor Marc Mezard, and will feature invited talks by leading experts whose research involves an overlap between machine learning and statistical physics. The primary objective of this Discussion Meeting is to facilitate interaction between the speakers and participants consisting of theoretical physicists and computer scientists.

ICTS winter school on quantitative systems biology is focussed on Morphogenesis and will enable students from different backgrounds to become familiar with exciting developments at the interface of Physics and Developmental Biology.