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The current boom in data science, in reality an umbrella term for diverse but loosely connected activity, has been brought about by rapid advances in techniques for collection, storage and dissemination of data, along with increased computational abilities to process it. It is on the scale of the industrial revolution except that it is now the abstract symbols rather than energy and material that is being generated, stored and distributed. This is affecting the older sciences as well where pure model based approaches are being combined with purely data driven ones, to get the best of both the worlds. The major action, however, is on a different front -- that of fast processing tools for the enormous data that is being generated, sometimes at a high speed. This is the analytic and algorithmic side of data science on which this workshop is focused. This in itself is a multi-verse, ranging from high end pure mathematics feeding it and being fed back in by it, to pure heuristics, often bas...

The current boom in data science, in reality an umbrella term for diverse but loosely connected activity, has been brought about by rapid advances in techniques for collection, storage and dissemination of data, along with increased computational abilities to process it. It is on the scale of the industrial revolution except that it is now the abstract symbols rather than energy and material that is being generated, stored and distributed. This is affecting the older sciences as well where pure model based approaches are being combined with purely data driven ones, to get the best of both the worlds. The major action, however, is on a different front -- that of fast processing tools for the enormous data that is being generated, sometimes at a high speed. This is the analytic and algorithmic side of data science on which this workshop is focused. This in itself is a multi-verse, ranging from high end pure mathematics feeding it and being fed back in by it, to pure heuristics, often bas...

The goal of this program is to introduce some of the path breaking developments in harmonic analysis in recent years. In particular, the program is focused on polynomial methods in harmonic analysis and discrete harmonic analysis. Polynomial methods in harmonic analysis: In the recent years there have been remarkable developments in the direction of Fourier restriction and Bochner-Riesz conjectures using the polynomial method. This method involves using tools from algebraic geometry to solve problems in various areas of mathematics. In particular, the method has been fruitful in addressing outstanding open problems in harmonic analysis. Discrete harmonic analysis: The discrete analogues in harmonic analysis with connections to number theoretic problems have been an active area of research in harmonic analysis. It is quite remarkable that in the recent years the powerful technique of sparse domination in the continuous setting has been developed to address problems related to discrete a...

This pedagogical program is aimed at students across the country, with special emphasis on Masters students and final year undergraduate degree students. Lecturers at this program will discuss fluid dynamics of the atmosphere and the ocean and its impact on climate scale processes. No prior background in climate-atmosphere-ocean dynamics is expected of participants. Topics that will be discussed include turbulent dynamics and convection in the ocean, monsoon dynamics, dynamical systems approach to climate models, and machine learning techniques for atmosphere-ocean processes. Eligibility criteria: Students from final year undergraduate and masters in physics, mathematics, and all streams of engineering.ICTS acknowledges the strong support received from Dr. Vivek V. (Friend of ICTS) towards this program, and other ICTS efforts on the science of climate and human interactions with our environment.ICTS is committed to building an environment that is inclusive, non discriminatory and welco...

The goal of this program is to introduce some of the path breaking developments in harmonic analysis in recent years. In particular, the program is focused on polynomial methods in harmonic analysis and discrete harmonic analysis. Polynomial methods in harmonic analysis: In the recent years there have been remarkable developments in the direction of Fourier restriction and Bochner-Riesz conjectures using the polynomial method. This method involves using tools from algebraic geometry to solve problems in various areas of mathematics. In particular, the method has been fruitful in addressing outstanding open problems in harmonic analysis. Discrete harmonic analysis: The discrete analogues in harmonic analysis with connections to number theoretic problems have been an active area of research in harmonic analysis. It is quite remarkable that in the recent years the powerful technique of sparse domination in the continuous setting has been developed to address problems related to discrete a...

This pedagogical program is aimed at students across the country, with special emphasis on Masters students and final year undergraduate degree students. Lecturers at this program will discuss fluid dynamics of the atmosphere and the ocean and its impact on climate scale processes. No prior background in climate-atmosphere-ocean dynamics is expected of participants. Topics that will be discussed include turbulent dynamics and convection in the ocean, monsoon dynamics, dynamical systems approach to climate models, and machine learning techniques for atmosphere-ocean processes. Eligibility criteria: Students from final year undergraduate and masters in physics, mathematics, and all streams of engineering.ICTS acknowledges the strong support received from Dr. Vivek V. (Friend of ICTS) towards this program, and other ICTS efforts on the science of climate and human interactions with our environment.ICTS is committed to building an environment that is inclusive, non discriminatory and welco...

The program will bring together three different communities working on (i) closed quantum systems with time dependent Hamiltonians (including Many Body Localization) (ii) open quantum systems, and realistic descriptions of the external environment and (iii) gauge theory of coupling between matter and radiation.  Each of these communities has the potential to gain from interactions with the other two. These three fields also demonstrate areas where there is a valuable interplay between theory and experiment. Many of these problems are at a scale where brute force numerical calculations fail, and so the ability to build “quantum simulation” experiments, and to correctly interpret their results becomes crucial.Topics to be covered- Terahertz and Infrared driven quantum matter- Shaken Optical Lattices and Cold Atoms- Floquet time crystals- Localization-delocalization physics in quasi-periodically driven systems- Dynamics of gauge theoriesEligibility Criteria: Graduate students, postdoctora...

The program will bring together three different communities working on (i) closed quantum systems with time dependent Hamiltonians (including Many Body Localization) (ii) open quantum systems, and realistic descriptions of the external environment and (iii) gauge theory of coupling between matter and radiation.  Each of these communities has the potential to gain from interactions with the other two. These three fields also demonstrate areas where there is a valuable interplay between theory and experiment. Many of these problems are at a scale where brute force numerical calculations fail, and so the ability to build “quantum simulation” experiments, and to correctly interpret their results becomes crucial.Topics to be covered- Terahertz and Infrared driven quantum matter- Shaken Optical Lattices and Cold Atoms- Floquet time crystals- Localization-delocalization physics in quasi-periodically driven systems- Dynamics of gauge theoriesEligibility Criteria: Graduate students, postdoctora...

The school is designed to encourage women to take up physics as a career. The sessions will be centered on some simple physics experiments,  conducted by the students, or as demonstrations. The subsequent discussion will focus on theoretical aspects motivated by  the experiments and explore physical ideas and theory in an open ended manner, so as to bring out the excitement and interconnectedness of the subject. This school will run in parallel with a school for women in mathematics. There will be some common lectures  by invited speakers and we will encourage  interaction between the participants in the two schools.  Participants will be required to stay on the ICTS campus in order to maximally benefit from the school.Eligibility criteria: The school is open to women studying only in Karnataka colleges for a bachelor’s degree with physics as a subject, and are entering their second or third year. This is a residential school and the selected participants will be fully supported. No re...

The summer school is intended for women students studying in first year B.A/B.Sc./B.E./B.Tech. or equivalent degree and having Mathematics as one of the major subjects/courses, during the academic year 2022-2023. Over a period of two weeks, the school aims to have around 70 participants, helping them gain broader exposure to problem solving skills in mathematics and statistics at the undergraduate level.All selected participants will need to attend the entire two week duration of the school.Specific topics that will be covered are:Linear AlgebraCalculusProbability and Statistics Mathematical ProgrammingThere will be problem solving sessions across topics.Each topic will have a brief introductory lecture session on a focus area followed by problem-solving sessions on it. The participants are expected to work together to solve the problem sheets that will be given out in these sessions. Each day will also feature two popular science lectures by distinguished researchers. The topics will ...

The school is designed to encourage women to take up physics as a career. The sessions will be centered on some simple physics experiments,  conducted by the students, or as demonstrations. The subsequent discussion will focus on theoretical aspects motivated by  the experiments and explore physical ideas and theory in an open ended manner, so as to bring out the excitement and interconnectedness of the subject. This school will run in parallel with a school for women in mathematics. There will be some common lectures  by invited speakers and we will encourage  interaction between the participants in the two schools.  Participants will be required to stay on the ICTS campus in order to maximally benefit from the school.Eligibility criteria: The school is open to women studying only in Karnataka colleges for a bachelor’s degree with physics as a subject, and are entering their second or third year. This is a residential school and the selected participants will be fully supported. No re...

The summer school is intended for women students studying in first year B.A/B.Sc./B.E./B.Tech. or equivalent degree and having Mathematics as one of the major subjects/courses, during the academic year 2022-2023. Over a period of two weeks, the school aims to have around 70 participants, helping them gain broader exposure to problem solving skills in mathematics and statistics at the undergraduate level.All selected participants will need to attend the entire two week duration of the school.Specific topics that will be covered are:Linear AlgebraCalculusProbability and Statistics Mathematical ProgrammingThere will be problem solving sessions across topics.Each topic will have a brief introductory lecture session on a focus area followed by problem-solving sessions on it. The participants are expected to work together to solve the problem sheets that will be given out in these sessions. Each day will also feature two popular science lectures by distinguished researchers. The topics will ...