PhD and Integrated PhD coursework
The schedule of ICTS courses for Aug  Nov 2019 are given below

Introduction to General Relativity (Reading)
Instructor: Bala Iyer
Venue: Amal Raychaudhuri Meeting room, ICTS Campus, Bangalore
Class Timings: Monday 1:453:15 pm, Friday 1:453:15 pm
First Class: Monday, 12 August, 2019
Text Books:
 Introducing Einstein’s Relativity: Ray D’Inverno
 A first course in general relativity: B. Schutz
Structure of the course:
The reading course has three components:
 Weekly Presentation and Participation
 Problem solving
 Final Oral Exam/Seminar
Presentations will be Twice a week (1.5 hrs each) where all students take turns in reading the assigned text and presenting them. I will start off the course with an Overview Lecture on GR and Information on Standard Texts they can consult. Problems on various modules will be evaluated by a TA. There will be an endsemester Oral Exam (which may be replaced by a Seminar)
Final Grades will be based on:
 Class presentation/participation: 30%
 Problems: 30%
 End term Oral Exam (or Seminar): 40%

String Theory I (Reading)
Instructor: R.Loganayagam
Venue: Feynman Lecture Hall, ICTS Campus, Bangalore
Class Timings: Wednesday and Friday, 11:0012:30 AM(Tentative)
First Class: Wednesday (10:00 am), 7th August, 2019
Structure of the course: The reading course has three components : Presentation/Class participation, assignments and exams.
Presentations will be twice a week (1.52hrs each) where all students take turns in reading the assigned text and presenting them. I will start off the course with a set of 6 to 8 lectures (i.e, 3 − 4 weeks) giving a brief survey at the level of basic textbooks mentioned below.
Assignments will be a set of problems on various modules which need to be handed over by those who are crediting the course. Since I do not really have a TA for this course, I want the students who credit this course to grade each others’ assignments.
There will be a midsemester and an endsemester exam (the latter can be replaced by a termpaper, see below for details).The grading policy will be based on the following weightage :
– Class presentation/participation : 20% – Assignments : 40%
– Mid term Exam : 20%
– End term Exam (or) Term paper : 20%For more details, see the PDF

Classical Mechanics (Core)
Instructor: Manas Kulkarni
Class Timings: Wednesdays  3:30 to 5:00 pm and Fridays – 4 pm to 5:30 pm
Venue: Chern lecture hall, ICTS Campus, Bangalore
First Class: Wednesday (4:00pm), 7th August, 2019
Topics:
 Recap:
Recap of Newton's laws and their consequences
System of point masses, Rigid Bodies
Classical drivendissipative systems
 Lagrangian Formulation:
Principle of least action
Noether's Theorem, Symmetries
Small Oscillations, Applications
 Rigid body motion:
Euler Angles
Tops
 Hamiltonian formulation:
Liouville's Theorem
ActionAngle variables
HamiltonJacobi Equations
 Classical Integrable Models and Field Theory:
Lax Pairs
Toda Model
Calogero Family of Models
Integrable Field Theories
Integrable Partial Differential Equations and applications in physics.
 Recap:
 Landau Lifshitz course on theoretical physics: Vol 1: Classical Mechanics
 Classical Mechanics by Herbert Goldstein, Charles P. Poole, John L. Safko
 Analytical Mechanics by Louis N. Hand, Janet D. Finch
 classical integrable finitedimensional systems related to Lie algebras, M.A. Olshanetsky, A.M.Perelomov, Physics Reports, Volume 71, Issue 5, May 1981, Pages 313400

Physics of Living Matter (Elective)
Instructor: VijayKumar Krishnamurthy
Prerequisites: A first course on statistical physics
Outline: Basic phenomenology of living systems. Bionumbers. Statistical physics in biology (active particles, chemical kinetics, feeding by diffusion, membrane potentials). Molecular machines (molecular motors, polymerases, synthases, enzymes, ionpumps, mitochondria). Macromolecular assemblies (polymers, membranes). Sensing and signalling (receptorligand interactions, MWC model, biochemical pathways, physical limits to sensing). Hydrodynamics (NavierStokes, low Reynolds number flows, swimming, generalized hydrodynamics, active matter, physics of the actomyosin cytoskeleton). Pattern formation (morphogen gradients, Turing patterns, mechanochemical patterns)
Time: Tuesdays and Thursdays 10:00 am  11:30 am
First Meeting: Thursday, 8th August 2019
Venue: Feynman Lecture Hall, ICTS, Bangalore
Webpage: https://biophysics.icts.res.in/teaching/physicsoflivingmatter/
Sign up: https://forms.gle/n5KDAzauZZBtXDbk8

Statistical Physics of Turbulent Flows (Elective)
Instructor: Samriddhi Sankar Ray
Venue: Feynman Lecture Hall, ICTS Campus, Bangalore
Meeting Time: Wednesdays and Thursdays: 2.00 pm  3:30 pm
First Meeting: Wednesday, 7th August 2019
Course Outline:
 Basics of Fluid Dynamics
 Fourier Analysis
 Isotropic Turbulence: Phenomenology of ThreeDimensional Turbulence
 Analytical Theories (closures, etc) and Stochastic Models
 TwoDimensional Turbulence

Advanced Quantum Mechanics (Core)
Instructor: Suvrat Raju
Venue and Timings: 2:30 to 4:00 pm Feynman Lecture hall, Thursdays: 2:30 to 4:00 pm Chern Lecture hall
Course Outline
 Mathematical preliminaries of quantum mechanics: Linear Algebra; Hilbert spaces (states and operators)
 Heisenberg and Schrodinger pictures
 Symmetries: Role of symmetries and types (spacetime and internal, discrete and continuous); Symmetries and quantum numbers; Simple examples of symmetry (Translation, parity, time reversal); Rotations and representation theory of Angular momentum; Creation and annihilation operator formalism for a simple harmonic oscillator.
 Perturbation Theory
 Scattering
We will also study some additional topics, including some elements of quantum information theory.
Textbook:
Modern Quantum Mechanics by Sakurai. 
Lab Course (Core)
Instructors: Abhishek Dhar, Vishal Vasan
Timings for first meet: 2 pm Monday, 19th August 2019
Venue: J C Bose Lab
Course structure:
Students will rotate amongst 4 experiments, devoting two weeks to each experimental setup. Students are expected to devote 8 − 10 hours per week to each experiment. At the end of the allotted two week period for each experiment, students will give a short presentation to the instructors and rest of the class. Students will submit a report detailing the theory for their experiment, the experimental procedure, their data and analysis as well as their conclusions regarding the challenges, what remains to be investigated and their advice to the next team.List of experiments:
 Exploring drag force on an object moving in a fluid
 Observing Brownian motion and estimating Avogadro’s number
 Surface gravity waves and dispersion relations
 Resonance of acoustic waves in cavities
Evaluation:
 (60%) Written report and presentation for each experiment
 (20%) Participation in discussions
 (10%) Ability to achieve openended goals of the experiment
 (10%) Final quiz: at the end of the final experiment each student will be individually quizzed on all experiments, for their understanding of the various concepts/ideas discussed throughout the term.

Classical field theory (Reading)
Instructor: VijayKumar Krishnamurthy
Venue: Feynman Lecture Hall, ICTS Campus, Bangalore
Timings: Monday 11:0012:30Pm, Thursday 4:005:30 Pm
Topics:
Elasticity theory and fluid dynamics with rudiments of the dynamics of anisotropic fluids and pattern formation in biology. The course will also discuss developing finite element numerical codes in Python using FEniCS. The emphasis in the course will be on applications relevant to understanding the physics of living systems.
Prerequisites: Classical Mechanics and prior knowledge of the Python language. Exposure to numerical methods will be an advantage.
Evaluation: There will be two exams and around 4 assignments which will also include coding assignments. Both the assignments and exams will carry equal weight.
Interested people should send an email to <vijaykumar@icts.res.in> by 1700, 24th January 2019. Further details will be communicated by email.References:
 Modern Classical Physics <https://press.princeton.edu/titles/10157.html>
 Elasticity and Geometry <https://global.oup.com/academic/product/elasticityandgeometry9780198506256 >
 Pattern Formation and Dynamics in Nonequilibrium Systems <https://doi.org/10.1017/CBO9780511627200>
 Soft Matter Physics <https://link.springer.com/book/10.1007/b97416>
FEniCS <https://fenicsproject.org/>

Bordism and topological field theory (Reading)
Instructor: Pranav Pandit
Venue: Feynman Lecture Hall, ICTS Campus, Bangalore
Timings: Tuesday and Thursdays, 2:304:00pm
First Class: Wednesday (6:00  7:30 pm), 15 January, 2019, Feynman Lecture Hall, ICTS Campus, Bangalore
Topics:
The core topics for this course will be:
 Cobordism as a generalized cohomology theory, basic homotopy theory, spectra
 The PontrjaginThom construction (reducing cobordism to homotopy theory)
 The AtiyahSegal axiomatization of topological quantum field theories
 The classification of 2d TQFTs in the AtiyahSegal framework.
 The notion of an extended topological field theory, and the statement of the classification theorem for such theories (the cobordism hypothesis). 1 Possible advanced topics, depending on the time available and the interests of the participants, include:
 Extended 2d TFTs appearing in topological string theory; CalabiYau A∞categories.
 Constructing 3d TFTs from modular tensor categories; examples of interest in condensed matter physics.
 Factorization algebras (algebras of observables) and factorization homology.
For more details, see <PDF link>

Magnetism (Elective)
Instructor: Subhro Bhattacharjee
Venue: Emmy Noether Seminar Room, ICTS Campus, Bangalore
Timings: Wednesday and Friday, 6:00  7:30 Pm
First Class: Wednesday (4:00  5:30 pm), 16 January, 2019, Chern Lecture Hall, ICTS Campus, Bangalore
Topics:
 Introduction to magnetism
 Magnetic materials
 Mean eld theory for magnetic ordering and fluctuations
 Spin path integral
 Magnetism in one dimensional spin systems
 Quantum spin liquid and topological order
 Quantum Phase transitions in Magnetic systems
For more details, see <PDF link>
References:
 Reference material will be mentioned in class topicwise. General references include
 Quantum phase transition, Subir Sachdev
 Interacting electrons and quantum magnetism, Assa Auerbach
 Lectures on Manybody physics, P. Fazekas
Grading:
Assignments (50 %) : Typically one assignment every 2 weeks.
End semester Exam (50%)

Classical Electromagnetism (Core)
Instructor: R.Loganayagam
Tutors: Akhil Sivakumar and Srikanth Pai
Venue: Feynman Lecture Hall, ICTS Campus, Bangalore
Timings : Wednesday  10:00  11:30 Am
Tutorials : Friday  2:30  3:30 Pm
First Class: Wednesday (2:30 pm), 2nd January, 2019,(Preliminary Test I);Emmy Noether Seminar Room, ICTS Campus; Bangalore
For more details, see <PDF link>
The grading policy will be based on the following weightage :
 Quiz/Tests during Tutorials : 15% for Int.PhDs, 10% for PhD. students
 Assignments : 25%
 Mid term Exam : 30%
 End term Exam : 30%
 Term paper (a thorough review of a topic in electromagnetism not covered in textbooks below, see below for suggestions) : 5% Extra credit (Compulsory for PhD Students)

Mathematical Methods for physics (Core)
Instructor: Parameswaran Ajith
Teaching Assistant: Rahul Kashyap (ICTS)
Venue: Chern Lecture Hall, ICTS Campus, Bangalore
Timings : Tuesday 10:00  11:30 Hrs and Thursday 16:00  17:30 Hrs
First Class: Tuesday, 8th January, 2019
Topics:
Vector analysis in general coordinates, tensor analysis. Matrices, operators, diagonalization, eigenvalues and eigenvectors. Infinite series, convergence, Taylor expansion. Complex analysis, Cauchy’s integral theorem, Laurent expansion, singularities, calculus of residues, evaluating integrals. Partial differential equations, separation of variables, series solutions, Green’s function. SturmLiouville theory. Fourier and Laplace transforms.
References:
G. Arfken & H. Weber : Mathematical Methods for Physicists (Academic)
B. F. Schutz, A First Course in General Relativity (Cambridge)
Evaluation:
Assignments: 40%
Mid term test: 30%
Final test: 30%

Advanced Statistical Physics (Core)
Instructor: Anupam Kundu
Venue: Emmy Noether Seminar Room, ICTS Campus, Bangalore
Timings: Tuesday 4:00  5:30pm and Friday 3:00  4:30 pm (Tentative)
First Class: Wednesday (4:00  5:30Pm), 2nd January, 2019
Topics:
 Brief overview of the statistical mechanics
 Interacting systems: Thermodynamic limits, fields, Collective phenomena
 Phenomenological description of phase transition and critical phenomena
 Statistical fields: Meanfield theory, Variational problem, LandauGinzburg theory, Saddle point approximations, Continuous and discrete symmetry breaking, domain walls.
 Correlations and fluctuations, Distribution functions
 Lattice systems, exact and approximate methods (Series expansions, BethePierls approximation, Duality in two dimension)
 Monte Carlo Simulations
 Scaling hypothesis (Homogeneity assumptions, divergence of correlation length, self similarity)
 Renormalisation Group theory (Conceptual, Gaussian model, Perturbative RG)
 Dissipative dynamics
Books:
 Statistical Physics of fields, Mehran Karder
 Lectures on phase transitions and Renormalisation group, N. Goldenfeld
 Statistical field theory, G. Mussardo
Condensed Matter Physics 1 (Elective)
Instructor: Chandan Dasgupta and Subhro Bhattacharjee
Venue: Chern Lecture Hall, ICTS Campus, Bangalore
Timings: Tuesday and Thursdays, 2:304:00 pm
First Class: Thursday (2:30 pm), 3rd January, 2019
Description: This course is aimed to introduce the basics of condensed matter physics. These ideas and techniques form the building blocks for studies in quantum manybody physics and a large class of quantum field theories that form the basis of our present understanding of materials around us. A detailed outline is attached and students interested in aspects of quantum manybody physics are strongly encouraged to credit/audit the course.
Helpful Prerequisites
Quantum Mechanics II, Statistical Mechanics I.
Tentative Topics
 Topic 0 : Introduction to quantum condensed matter (34 lectures)
 Topic 1: Electron Gas (7 lectures)
 Topic 2 : Lattice (8 lectures)
 Topic 3 : Electrons in crystalline solids (6 lectures)
 Topic 4 : Magnetism (2 lectures)
 Topic 5 : Superconductivity (4 lectures)
For more details, see <PDF link>
Grading
 Assignments (50%): Typically one assignment every 2 weeks.
 End semester Exam (50%)

Course on Fluid Mechanics (Elective: Aug Nov 2018)
Instructor: Rama Govindarajan
Venue: Chern lecture hall, ICTS Campus, Bangalore
Time: Tuesdays and Thursdays, 11:00 AM
First Meeting: Tuesday, 21st August, 2018

Advanced Quantum Mechanics (Core)
Instructor: Suvrat Raju
Venue: Feynman Lecture Hall, ICTS Campus, Bangalore
Timings: Tuesdays and Thursdays, 2:30  4:00 pm
First Class: Tuesday (2:30 pm), 7th August, 2018
Description: This is a core course covering some fundamental concepts in quantum mechanics. We will discuss some simple linear algebra, Hilbert spaces, the Heisenberg and Schrodinger pictures, discrete symmetries, continuous symmetries with a focus on the theory of angular momentum, perturbation theory, identical particles and some elements of scattering theory. If time permits, we will also discuss some selected topics from quantum information theory.
Textbook: The course will closely follow the textbook "Modern Quantum Mechanics" by Sakurai. Additional references, if required, will be provided in class.
Classical Mechanics (Core)
Instructor: Manas Kulkarni
Venue: Chern lecture hall, ICTS Campus, Bangalore
Timings: Wednesdays and Fridays, 4:00  5:30 pm
First Class: Wednesday (4:00pm), 1st August, 2018
Topics:
1) Recap:
 Recap of Newton's laws and their consequences
 System of point masses, Rigid Bodies
 Classical drivendissipative systems2) Lagrangian Formulation:
 Principle of least action
 Noether's Theorem, Symmetries
 Small Oscillations, Applications3) Rigid body motion:
 Euler Angles
 Tops4) Hamiltonian formulation:
 Liouville's Theorem
 ActionAngle variables
 HamiltonJacobi Equations5) Classical Integrable Models and Field Theory:
 Lax Pairs
 Toda Model
 Calogero Family of Models
 Integrable Field Theories
 Integrable Partial Differential Equations and applications in physics.
Statistical PhysicsI (Core)
Instructor: Abhishek Dhar
Venue: Chern Lecture Hall, ICTS Campus, Bangalore
Timings: Monday 4:00  5:30pm, Wednesday: 2:30  4:00pm
First Class:Friday, 3rd August, 2018. at 2:15pm
Details: The course on statistical physicsI will be based on the book Statistical Physics of Particles: Mehran Kardar
Topics to be covered:
 Thermodynamics,
 Probability,
 Kinetic theory of gases
 Classical statistical mechanics
 Interacting particles
 Quantum statistical mechanics
 Ideal quantum gases
 Biological Physics (Elective)
Course Title: Biological Physics (Elective)
Instructor: Vijay Kumar Krishnamurthy, Sriram Ramaswamy, Shashi Thutupalli
Venue: Physics department, IISc, Bangalore
Time: Tuesdays and Fridays, 2:00 pm 3:30 pm
First Meeting:Tuesday, 7th August, 2018
Outline
 the living state as a physicist sees it
 what a cell contains
 noise and biological information
 random walks, Brownian motion, diffusion
 fluid flow in cell and microbe biology
 entropic forces, electrostatics, chemical reactions, selfassembly
 macromolecules: statistics, forces, folding, melting
 molecular machines
 electrical transport across membranes: neurons, nerve impulses
 cell membrane mechanics: elasticity, order, shape, dynamics
 the cytoskeleton and cell mechanics
 collective motility
Prerequisites
Mechanics and Statistical physics at 1styear graduate student level
Evaluation
Homework assignments, midsemester & endsemester exams
Reference Texts
 Philip Nelson, Biological Physics: Energy, Information, Life (W. H. Freeman, 2014)
 R Phillips, J Kondev, J Theriot, H Garcia, Physical Biology of the Cell (Garland Science 2013)
 W Bialek, Biophysics: Searching for Principles (Princeton University Press 2012)
 And relevant papers
 Quantum and Statistical field theory (Core)
Instructor: Subhro BhattacharjeeTutor : Pushkal Shrivastava
Venue: Emmy Noether Seminar Room, ICTS Campus, Bangalore
Meeting Time: Tuesdays & Thursdays: 3:15 pm  4:45 pm
First Class: Thursday (3:00 pm), January 4, 2018
Course Outline :
 Statistical Mechanics  From the discrete to the continuum
 Quantum Mechanics of particles to continuum Quantum Fields
 Functional integral formulation of QM and QFT
 Parallels and Differences between continuum description of Stat. Mech. and Quantum systems.
 Spontaneous Symmetry breaking
 Wilsonian RG
 Additional reading topics selected by the instructor
 Electromagnetic Theory (Core)
Instructor: R LoganayagamTutor : Chandan Kumar Jana
Venue: Emmy Noether Seminar Room, ICTS Campus, Bangalore
Meeting Time: Tuesdays & Thursdays: 10:30 am  12:00 pm
First Class: Wednesday (4:30 pm), January 3, 2018
Course Outline : Please click here for more details
 Condensed Matter Physics  Interacting Systems (Elective)
Instructor: Chandan DasguptaVenue: Emmy Noether Seminar Room, ICTS Campus, Bangalore
Meeting Time: Mondays: 11:30 am  1:00 pm & Wednesdays: 1:45 pm  3:15 pm
First Class: Wednesday (11:30 am), January 10, 2018
Prerequisites: Courses on elementary solid state physics and statistical physics.
Course Outline :
 Classical systems of particles: Cluster expansion, van der Waals equation, liquidstate theory,classical density functional theory.
 Interacting electrons: HartreeFock approximation, exchange and correlation effects, quasiparticles, Fermi liquid theory, density functional theory. Dielectric function of electron gas  random phase approximation, plasmons, screening. The Hubbard model  metalinsulator transition, spin and charge density wave states.
 Interacting bosons: Weakly interacting bosonic systems, BoseEinstein condensation, superfluidity. Anharmonic effects in phonons.
 Electronphonon interaction: Phonons in metals, electron mass renormalization, effective interaction between electrons, polarons.
 Superconductivity: Cooper instability, BCS theory, GinzburgLandau theory, vortex lattice, Josephson effect.
 Magnetism: Microscopic mechanisms, models, magnetic phase transitions, spin waves.
 Numerical methods for Physics and Astrophysics (Elective)
Instructor: P. AjithTutor : Ajit Kumar Mehta
Venue: Emmy Noether Seminar Room, ICTS Campus, Bangalore
Meeting Time: Wednesdays & Fridays: 3:30 pm  5:30 pm
First Class: Wednesday (3:30 pm), January 17, 2018
 Classical fields  elasticity theory and fluid dynamics (Reading)
Instructor: Abhishek Dhar
Summary: The course will be based almost entirely on the book "Applications of classical physics" by Roger D. Blandford and Kip S. Thorne. The focus will be on explaining the basics of elasticity theory and fluid dynamics, and their applications to understanding various physical phenomena, both from everyday life and from the laboratory.
Course contents: Chapters 1115 of "Applications of classical physics" available here Chapter 11: Elastostatics , Chapter 12: Elastodynamics, Chapter 13: Foundations of Fluid Dynamics, Chapter 14: Vorticity, Chapter 15: Turbulence
Books:
The schedule of ICTS courses for Jan  Apr 2019 are given below
The schedule of ICTS courses for Aug  Nov 2018 are given below: