Circle Method after Kloosterman (Lecture 1) by R. Balasubramanian @ICTStalks

Circle Method after Kloosterman (Lecture 1) by R. Balasubramanian @ICTStalks

Uploaded June 2026 | Updated September 2026, 2 weeks ago

Discussion Meeting: The Classical Circle Method and the Large Sieve

ORGANIZERS: R. Balasubramanian (IMSc, Chennai, India), Prahlad Sharma (IIT Kanpur, India) and Saurabh Kumar Singh (IIT Kanpur, India)

DATE & TIME: 04 May 2026 to 08 May 2026

VENUE: Ramanujan Lecture Hall, ICTS Bengaluru

The circle method originated in the pioneering work of G. H. Hardy and S. Ramanujan on the partition function and was later refined by Hardy and Littlewood in their study of Waring’s problem. Since then, it has become a central tool in analytic number theory, leading to many striking applications, including the ternary Goldbach conjecture, which states that every odd integer greater than 5 can be written as the sum of three prime numbers.

This workshop aims to develop an understanding of the ideas and techniques underlying proofs obtained via the circle method. We will explore the analytic techniques and key ideas behind these proofs, with an emphasis on both classical and modern developments. A central theme of the workshop will be the close relationship between the circle method and the large sieve, and how large sieve techniques can be used to enhance the effectiveness of the circle method. Participants will have ample opportunities for interaction, including discussions with leading experts, the presentation of open problems, and collaborative exploration of new directions.

CONTACT US: ccmls@icts.res.in

PROGRAM LINK: icts.res.in/discussion-meeting/ccmls2026

Circle Method after Kloosterman (Lecture 1) by R. Balasubramanian

$Nonequilibrium Driving Protocols for Generating Entanglement in Coupled Brownian..... by Saravanan A Discussion Meeting: 11th Indian Statistical Physics Community Meeting ORGANIZERS: Ranjini Bandyopadhyay (RRI India), Abhishek Dhar (ICTS-TIFR, India), Kavita Jain (JNCASR, India), Rahul Pandit (IISc, India), Sanjib Sabhapandit (RRI India) and Samriddhi Sankar Ray (ICTS-TIFR, India) DATE & TIME: 27 April 2026 to 29 April 2026 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru This is an annual discussion meeting of the Indian statistical physics community attended by scientists, postdoctoral fellows and graduate students, from across the country, working in the broad area of statistical physics. This meeting will be the 11th in the series. The following list of topics, that are covered in STATPHYS meetings of the International Union of Pure and Applied Physics, will be covered in this discussion meeting. General and mathematical aspects Rigorous results, exact solutions, probability theory, stochastic field theory, phase transitions and critical phenomena at equilibrium, information theory, optimization, etc. Out-of-equilibrium aspects Driven systems, transport theory, relaxation and response dynamics, random processes, anomalous diffusion, fluctuation theorems, large deviations, out-of-equilibrium phase transitions, etc. Quantum fluids and condensed matter Strongly correlated electrons, cold atoms, graphene, mesoscopic quantum phenomena, fractional quantum Hall effect, low dimensional quantum field theory, quantum phase transitions, quantum information, entanglement, Lüttinger liquid, spin liquid, etc. Disordered and glassy systems Percolation, spin glasses, structural glasses, metallic glasses, jamming, glass transition, algorithmic problems, etc. Biological physics Molecular motors, single and multicellular dynamics, bacteria, swimmers, spatio-temporal organization, biological membranes, biopolymer folding, genomics, biological networks, evolution models, evolutionary game theory, etc. Soft matter Simple and complex fluids, active matter, molecular and ionic fluids,wetting, self-assembly, polymers, gels, liquid crystals, microemulsions, foams, membranes, colloids, granular materials, etc. Nonlinear physics Dynamical systems, chaos (classical and quantum), pattern formation, chemical reactions, hydrodynamic instabilities, turbulence (classical and quantum), etc. Interdisciplinary and complex systems Networks and graphs, epidemics, econophysics, social phenomena, traffic flow, ecology, etc. CONTACT US: ispcm@icts.res.in PROGRAM LINK: https://icts.res.in/discussion-meeting/ispcm2026$ $Impact of Roughness on Transport Coherence and Stochastic Resonance by Prathyusha S Nair Discussion Meeting: 11th Indian Statistical Physics Community Meeting ORGANIZERS: Ranjini Bandyopadhyay (RRI India), Abhishek Dhar (ICTS-TIFR, India), Kavita Jain (JNCASR, India), Rahul Pandit (IISc, India), Sanjib Sabhapandit (RRI India) and Samriddhi Sankar Ray (ICTS-TIFR, India) DATE & TIME: 27 April 2026 to 29 April 2026 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru This is an annual discussion meeting of the Indian statistical physics community attended by scientists, postdoctoral fellows and graduate students, from across the country, working in the broad area of statistical physics. This meeting will be the 11th in the series. The following list of topics, that are covered in STATPHYS meetings of the International Union of Pure and Applied Physics, will be covered in this discussion meeting. General and mathematical aspects Rigorous results, exact solutions, probability theory, stochastic field theory, phase transitions and critical phenomena at equilibrium, information theory, optimization, etc. Out-of-equilibrium aspects Driven systems, transport theory, relaxation and response dynamics, random processes, anomalous diffusion, fluctuation theorems, large deviations, out-of-equilibrium phase transitions, etc. Quantum fluids and condensed matter Strongly correlated electrons, cold atoms, graphene, mesoscopic quantum phenomena, fractional quantum Hall effect, low dimensional quantum field theory, quantum phase transitions, quantum information, entanglement, Lüttinger liquid, spin liquid, etc. Disordered and glassy systems Percolation, spin glasses, structural glasses, metallic glasses, jamming, glass transition, algorithmic problems, etc. Biological physics Molecular motors, single and multicellular dynamics, bacteria, swimmers, spatio-temporal organization, biological membranes, biopolymer folding, genomics, biological networks, evolution models, evolutionary game theory, etc. Soft matter Simple and complex fluids, active matter, molecular and ionic fluids,wetting, self-assembly, polymers, gels, liquid crystals, microemulsions, foams, membranes, colloids, granular materials, etc. Nonlinear physics Dynamical systems, chaos (classical and quantum), pattern formation, chemical reactions, hydrodynamic instabilities, turbulence (classical and quantum), etc. Interdisciplinary and complex systems Networks and graphs, epidemics, econophysics, social phenomena, traffic flow, ecology, etc. CONTACT US: ispcm@icts.res.in PROGRAM LINK: https://icts.res.in/discussion-meeting/ispcm2026$

Reinforcement Learning Bootcamp by Gaurav Mahajan

Water vapor, clouds, and their slow and fast components by Sam Stechmann

Moist Dynamics in IMDAA Reanalysis by Mohan Thota

Project 1 lecture 2 by Rahul Roy, with co-leads Hideki Tanemura and Masato Takei

$Multifunctional Defect-Rich Nanoflowers for Integrated Wastewater Treatment...... by Amar Nath Gupta Discussion Meeting: 11th Indian Statistical Physics Community Meeting ORGANIZERS: Ranjini Bandyopadhyay (RRI India), Abhishek Dhar (ICTS-TIFR, India), Kavita Jain (JNCASR, India), Rahul Pandit (IISc, India), Sanjib Sabhapandit (RRI India) and Samriddhi Sankar Ray (ICTS-TIFR, India) DATE & TIME: 27 April 2026 to 29 April 2026 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru This is an annual discussion meeting of the Indian statistical physics community attended by scientists, postdoctoral fellows and graduate students, from across the country, working in the broad area of statistical physics. This meeting will be the 11th in the series. The following list of topics, that are covered in STATPHYS meetings of the International Union of Pure and Applied Physics, will be covered in this discussion meeting. General and mathematical aspects Rigorous results, exact solutions, probability theory, stochastic field theory, phase transitions and critical phenomena at equilibrium, information theory, optimization, etc. Out-of-equilibrium aspects Driven systems, transport theory, relaxation and response dynamics, random processes, anomalous diffusion, fluctuation theorems, large deviations, out-of-equilibrium phase transitions, etc. Quantum fluids and condensed matter Strongly correlated electrons, cold atoms, graphene, mesoscopic quantum phenomena, fractional quantum Hall effect, low dimensional quantum field theory, quantum phase transitions, quantum information, entanglement, Lüttinger liquid, spin liquid, etc. Disordered and glassy systems Percolation, spin glasses, structural glasses, metallic glasses, jamming, glass transition, algorithmic problems, etc. Biological physics Molecular motors, single and multicellular dynamics, bacteria, swimmers, spatio-temporal organization, biological membranes, biopolymer folding, genomics, biological networks, evolution models, evolutionary game theory, etc. Soft matter Simple and complex fluids, active matter, molecular and ionic fluids,wetting, self-assembly, polymers, gels, liquid crystals, microemulsions, foams, membranes, colloids, granular materials, etc. Nonlinear physics Dynamical systems, chaos (classical and quantum), pattern formation, chemical reactions, hydrodynamic instabilities, turbulence (classical and quantum), etc. Interdisciplinary and complex systems Networks and graphs, epidemics, econophysics, social phenomena, traffic flow, ecology, etc. CONTACT US: ispcm@icts.res.in PROGRAM LINK: https://icts.res.in/discussion-meeting/ispcm2026$

Dynamics of Dense Human Crowds by Mahesh Panchagnula

Integral Period Relations for Base Changes by Jacques Tilouine (Lecture 2)

Metric and Other Operators in DEC - (Lecture 2) by Anil Hirani

Introduction to Gravitational Waves by Subhendra Mohanty

International Centre for Theoretical Sciences |

Circle Method after Kloosterman (Lecture 1) by R. Balasubramanian