Introduction to Knot Theory by Rama Mishra @ICTStalks

Uploaded June 2026 | Updated September 2026, 2 weeks ago

Program: Summer School for Women in Mathematics and Statistics

ORGANIZERS: Nikita Agarwal (Delhi University, India), Siva Athreya (ICTS-TIFR Bengaluru, India), Rhythm Grover (IIT Guwahati, India), Kannappan Sampath (IISER Pune, India) and Dootika Vats (IIT Kanpur, India)
DATE & TIME: 08 June 2026 to 19 June 2026
VENUE: Ramanujan Lecture Hall, ICTS Bengaluru

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 2025-2026. Over a period of two weeks, the school aims to help the students gain broader exposure to problem solving skills in mathematics and statistics at the undergraduate level.

Specific topics that will be covered are:
•⁠ ⁠Calculus:
- Curve Sketching
- Sequences, Limits, and limit points
- Negation and logical deduction
•⁠ ⁠Functions:
- Iterative functions
- Contractions, fixed points
•⁠ ⁠Construction of fractals via contraction maps
•⁠ ⁠⁠Linear Algebra
- Column space, row space, eigenspace
•⁠ ⁠Conditional Probability and Markov chains
•⁠ ⁠⁠R-programming
- Simulating fractals
- Simulating Markov chains

There 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 popular science lectures by distinguished researchers and professionals. The topics will be diverse, not limited to mathematics and statistics, and the lectures will be made accessible to all the participants. Other daily events will include post dinner problem solving sessions and discussions with popular science speakers of the day. Further, there will be many opportunities to interact with women scientists who will visit the program for short periods.

CONTACT US: swms@icts.res.in
PROGRAM LINK: icts.res.in/program/swms2026

$Introduction to Knot Theory by Rama Mishra Program: Summer School for Women in Mathematics and Statistics ORGANIZERS: Nikita Agarwal (Delhi University, India), Siva Athreya (ICTS-TIFR Bengaluru, India), Rhythm Grover (IIT Guwahati, India), Kannappan Sampath (IISER Pune, India) and Dootika Vats (IIT Kanpur, India) DATE & TIME: 08 June 2026 to 19 June 2026 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru 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 2025-2026. Over a period of two weeks, the school aims to help the students gain broader exposure to problem solving skills in mathematics and statistics at the undergraduate level. Specific topics that will be covered are: •⁠ ⁠Calculus: - Curve Sketching - Sequences, Limits, and limit points - Negation and logical deduction •⁠ ⁠Functions: - Iterative functions - Contractions, fixed points •⁠ ⁠Construction of fractals via contraction maps •⁠ ⁠⁠Linear Algebra - Column space, row space, eigenspace •⁠ ⁠Conditional Probability and Markov chains •⁠ ⁠⁠R-programming - Simulating fractals - Simulating Markov chains There 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 popular science lectures by distinguished researchers and professionals. The topics will be diverse, not limited to mathematics and statistics, and the lectures will be made accessible to all the participants. Other daily events will include post dinner problem solving sessions and discussions with popular science speakers of the day. Further, there will be many opportunities to interact with women scientists who will visit the program for short periods. CONTACT US: swms@icts.res.in PROGRAM LINK: https://icts.res.in/program/swms2026$

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$Chiral proximity effects and a topological invariant in a Chern insulator connect..by Abhishek Dhar 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$

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$Quantum Walk Dynamics from Classical Interacting Particle Systems by Surajit Saha 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$

Percolation on dynamic random networks by Sayan Banerjee

Beautiful Minds: Consciousness and a Sense of Self in Bonnet Macaques by Anindya ‘Rana’ Sinha

Special talk on physics of Nuclei of few Nucleons (Lattice perspectives) by Nilmani Mathur

Krylov-space Anatomy and Spread Complexity of a Disordered Quantum Spin Chain by Bikram Pain

Counting Galois orbits of newforms by Debargha Banerjee

Khintchine Inequality for Graph-independent Semicircles by Raghavendra Tripathi