Faculty:
The department has wellrecognized faculty with research interests in the areas of harmonic analysis, differential geometry, group theory, number theory, noncommutative algebra, topology, classical algebraic geometry, dynamical systems and operator algebras. Currently there are fifteen faculty members in the department and we hope to hire quality faculty working in various other areas of mathematics, as well as strengthen the areas already represented. For more details, please see the Faculty tab on this page.
Programmes:
The Department of Mathematics at IISER Bhopal currently offers three programmes: BSMS (Dual Degree), Integrated Ph.D. and Ph.D. programme. The goal of each of these is to provide students with a solid foundation in mathematics, thereby giving them the opportunity to pursue an academic career in mathematics, while also giving them the balance they need if they wish to pursue a career in industry. For more details, please see the Programmes tab on this page.
For details on the application and selection procedure for any of these programmes, please visit http://www.iiserb.ac.in/academicsofficeacadadmission.html
BSMS Students
2013 Batch  2012 Batch 
Ajay Kumar Nair 
Ashwin K 
Rohitash Yadav 
Brahadeesh Sankarnarayanan 
Ritwik Upadhyay 
Haritha C 
Saoji Shravan Bushan 
Mihir Kshire 
Georgy C Luke 
Merin Abraham 
Mayank Mishra 
Palkar Grishma Gurudas 
Sreekanth D 
Palsule Aneesh Ramdas 
Sanket Dhole 
Shubham Namdeo 
Maya Verma 

Ashok Kumar 

Akshay Date 

Mohammed Rameez Qureshi 
Integrated PhD Students
2015 Batch  2014 Batch 
Arnab Dey 
Anil Kumar Yadav 
Awadhesh Kumar 
Anshu 
Josy John 
Ashutosh Pandey 
Navin Ji Mishra 
Nupur Patanker 
Prashant Tiwari 
Sanjay Mahana 
Riju Basak 

Shubham Trivedi 

Shubhendu Singh 

Swapnil Tripathi 
PhD Students
2015 Batch 
Arusha C 
Neeraj Kumar Dhanwani 
BSMS Alumni
2011 Batch  2010 Batch  2009 Batch  2008 Batch 
Mohamed Hashir P 
Saparya S. 
Aranya Lahiri 
Abhay Pratap Singh 
Neethu S R 
Sourabh Goyal 
Gosavi Saurabh Madan 
Lala Chirag Ramesh 
Sanjana Agarwal 
Sudhanshu Srivastava 
Sunkula Mahesh 

Vishnu P Iyer 
Sweta Pandey 

Mitesh Modasiya 
The Department of Mathematics at IISER Bhopal currently offers three programmes: BSMS (Dual Degree), Integrated Ph.D. and Ph.D. programme. The goal of each of these is to provide students with a solid foundation in mathematics, thereby giving them the opportunity to pursue an academic career in mathematics, while also giving them the balance they need if they wish to pursue a career in industry. For information about the courses offered by the department, please read the Course Contents booklet.
BSMS (Dual): This is a 5year program intended for students who have passed their XII examinations. During the first 4 semesters, the students take courses in Biology, Chemistry, Mathematics, Physics, Earth and Environmental Sciences, and Humanities. The Mathematics courses during this period include Single and Multivariable Calculus, Linear Algebra, and Probability and Statistics. The goal is to excite students to study mathematics, both for its own sake, and to apply it to the subject of their choice.
Those who specialize in Mathematics, in their 5th semester, will be introduced to the foundations of mathematics, algebra, analysis, topology and geometry over the next 2 years. Unlike the curriculum prevalent in the majority of institutions and universities in India, this programme provides students with the opportunity of exploring and nurturing interdisciplinary interests by allowing them to minor in the other science disciplines. In their 5th year, along with the courses, the students also undertake a project with a faculty member, which is evaluated by a committee.
Integrated Ph.D.: The programme aims to rigorously train and guide students in the various research areas currently represented in the department. There is an option to exit the programme with a Masters' degree in Mathematics, but only after three years upon successful completion of the coursework requirements.
Ph.D.: This program is intended for students who have completed a Masters' degree in Mathematics or an allied science. During their first year, students will take courses which will help them gain a broad conceptual background in all areas of mathematics. Subsequently, they are evaluated for their suitability to pursue the Ph.D. programme based on their performance in these courses, and a comprehensive exam. The students then choose an advisor and commence their research work.
External Speakers
Date  Title  Speaker 
Affiliation 
Jan 5, 2017  Relative Symplectic Caps, 4Genus and Fibered Knots  Dr. Dheeraj D. Kulkarni  ISI, Kolkata 
Dec 27, 2016  Adaptive waveletbased methods for solution of PDEs and signal analysis  Dr. Ratikanta Behera  IISER Kolkata 
Dec 9, 2016  An ODE associated to the Ricci flow  Dr. Atreyee Bhattacharya  RKMVU, Belur 
Dec 8, 2016  Splitting Subspaces of Linear Transformations over Finite Fields  Dr. Samrith Ram  HRI, Allahabad 
Dec 7, 2016  Wiener Tauberian Theorem for rank one semisimple Lie groups  Dr. Amit Samanta  TIFRCAM Bangalore 
Dec 5, 2016  On The Fourier Coefficients of A CohenEisenstein Series  Dr. Srilakshmi Krishnamoorthy  IIT Chennai 
Nov 18, 2016  Complete reducibility in characteristic p >0  Prof. A. J. Parameswaran  TIFR, Mumbai 
Nov 16, 2016  Noether Normalization and Bertini Theorem: A geometric Approach  Prof. A. J. Parameswaran  TIFR, Mumbai 
Nov 7, 2016  Existence and Characterization of Nash Equilibrium for ChanceConstrained Games  Dr. Vikas Vikram Singh  Universite Paris Sud XI, France 
Nov 3, 2016  Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group  Prof. S. Thangavelu  Indian Institute of Science, Bangalore 
Sept 19, 2016  Total Character and Irreducible Characters of pgroups  Dr. Sunil Kumar Prajapati  The Hebrew University of Jerusalem, Israel 
Sept 13, 2016  Excitements and challenges in Mathematics  Prof. Ambat Vijayakumar  Cochin University of Science and Technology, Cochin 
Sept 6, 2016  Asymptotic behavior of the optimal controls of a semilinear elliptic problem.  Dr. Indira Mishra  IISER Bhopal 
Sept 2, 2016  The Art of Research  Prof. Ram Murty  Queen's University, Canada 
Sept 1, 2016  Roping more by ringing less in Analysis  Prof. Ajit Iqbal Singh  INSA Emeritus Scientist, New Delhi 
Aug 31, 2016  Twin Prime Conjecture  Prof. Ram Murty  Queen's University, Canada 
Aug 30, 2016  MOR cryptosystem and split orthogonal groups in odd characteristics  Dr. Ayan Mahalanobis  IISER Pune 
Aug 27, 2016  An introduction to the Langlands program  Prof. Ram Murty  Queen's University, Canada 
Aug 1819, 2016  Combinatorial and Constructive Approach to Fixed Point Theorems  Prof. R B Bapat  Indian Statistical Institute, Delhi 
June 30, 2016  Rational and Polynomial Density on Compact Real Manifolds  Dr. Purvi Gupta  University of Western Ontario, London, Canada 
June 21, 2016  SchroederBernstein Problem for Modules  Dr. Ashish Srivastava  Saint Louis University, MO, USA 
Mar 17, 2016  Regular characters of general linear groups over principal ideal local rings  Dr. Pooja Singla  IISc, Bangalore 
Mar 17, 2016  Integrable modules for Lie tori  Dr. Sachin Subhash Sharma  CMI, Chennai 
Mar 16, 2016  Hecke algebras and the Langlands program  Dr. Manish Kumar Mishra  Heidelberg University, Germany 
Jan 25, 2016  On Partial Differential Equations and Diffusion Processes  Prof. Rajeeva Karandikar  CMI, Chennai 
Jan 23, 2016  Curvature inequalities for operators in the CowenDouglas class  Dr. Dinesh Kumar Keshari  ISI Bangalore 
Jan 23, 2016  A Construction of nonK¨ahler complex manifolds  Dr. Ajay Singh Thakur  ISI Bangalore 
Jan 22, 2016  Perturbation of Eigenvalues  Prof. Rajendra Bhatia  ISI, Delhi 
Oct 23, 2015  How to compute multiple zeta values?  Prof. Joseph Oesterle  Institut de Mathematiques de JussieuParis Rive Gauche 
Oct 15, 2015  Faithful actions of locally compact quantum groups on classical spaces.  Dr. Sutanu Roy  University of Ottawa, Canada 
Oct 05, 2015  Polynomial Identity Testing and Lower Bounds on Arithmetic Circuits  Prof. Manindra Agrawal  IIT Kanpur 
Aug 20, 2015  Construction of Asymptotically Optimal Control for a Stochastic Network from a Free Boundary Problem.  Dr. Subhamay Saha  Technion, Israel 
Aug 07, 2015  A classical result in Additive Combinatorics, an application and some related results  Prof. S.D. Adhikari  HRI, Allahabad 
Aug 06, 2015  Some early Ramseytype theorems with applications  Prof. S.D. Adhikari  HRI, Allahabad 
July 14, 2015  Some applications of Topology to Algebra and Algebraic Geometry  Prof. R.V. Gurjar  TIFR, Mumbai 
July 13, 2015  The Diagonal and Point property  Dr. Sanjay Kumar Singh  IMPAN, Warsaw 
April 29, 2015  Converse Theorem for Jacobi Cusp forms  Dr. Karam Deo Shankhadhar  Universidad de Chile, Santiago 
April 18, 2015  What is Curvature?  Prof. Ravi Kulkarni  Bhaskaracharya Prathishthan, Pune 
April 17, 2015  What Set Theory has done for Mathematics  Prof. Ravi Kulkarni  Bhaskaracharya Prathishthan, Pune 
April 16, 2015  A1connectedness of schemes  Dr. Chetan Balwe  TIFR, Mumbai 
March 11, 2015  Geometry of Quadrics and Hitchin Map  Dr. Sarbeswar Pal  ISI, Bangalore 
March 10, 2015  Combinatorics and Topology of reflection arrangements on smooth manifolds  Dr. Priyavrat Deshpande  CMI, Chennai 
Feb 14, 2015  Limits of Spaces  Prof. Siddhartha Gadgil  IISc, Bangalore 
Feb 12, 2015  Geometry and Arithmetic  Prof. C.S. Rajan  TIFR, Mumbai 
Dec 818, 2014  Winter School  
Oct 2729, 2014  Harmonic Analysis Lecture Series  Prof. Sitaram Alladi  IISc, Bangalore 
Oct 16, 2014  The lattice point counting problem on the Heisenberg group  Dr. Rahul Garg  Technion, Israel Institute of Technology, Israel 
Aug 5, 2014  Mathematics  Art that would rather be Science?  Prof. M.S. Raghunathan  National Centre for Mathematics, IIT Bombay 
June 10, 2014  Polynomials from a computational perspective  Prof. Manindra Agrawal  IIT Kanpur 
Apr 15, 2014  Mod p reduction of certain crystalline representations  Dr. Abhik Ganguli  TIFR Mumbai 
Apr 15, 2014  Formal groups and stable homotopy  Dr. Romie Banerjee  TIFR Mumbai 
Apr 10, 2014  KKMonopoles: A study using Topological Tduality  Dr. Ashwin Pande  HRI Allahabad 
Mar 2123, 2014  Conference on Harmonic Analysis and Operator Theory  
Mar 10, 2014  Problems in Number Theory: Problems that are simply stated yet sophisticated  Prof. Sujatha Ramdorai  University of British Columbia, Canada 
Jan 10, 2014  The range of an Orlicz space under a singular integral operator  Prof. Ron Kerman  Brock University Canada 
Nov 21, 2013  Euler Characteristic and Congruences of Elliptic Curves  Dr. Sudhanshu Shekhar  Heidelberg University, Heidelberg, Germany 
Nov 16, 2013  Jugglology  Dr. Steven Spallone  IISER Pune 
Nov 15, 2013  Local padic dynamics  Dr. Steven Spallone  IISER Pune 
Oct 3, 2013  Tannakian fundamental group schemes, parabolic bundles and moduli spaces  Dr. Sanjay Amrutiya  IMSc, Chennai 
Sept 25, 2013  Fractal Interpolation for Hybrid Structures  Dr. Srijanani Prasad  IIT Kanpur 
Aug 3031, 2013  Conference on Current Trends in Algebra  
Aug 2, 2013  The Role of Cayley Graphs in Parallel Computer Architecture  Prof. S. Lakshmivarahan  University of Oklahoma 
Aug 1, 2013  Data Mining and Data Assimilation  a review  Prof. S. Lakshmivarahan  University of Oklahoma 
July 9, 2013  The Twin Prime Problem (apres Yitan Zhang)  Prof. Ram Murty  Queen's University, Canada 
July 8, 2013  Mathematics and Technology  Prof. Ram Murty  Queen's University, Canada 
Student Seminars
Date  Title  Speaker 
April 16, 2016  Krull Dimension of U (sl(2, k))  Mohammed Hashir P 
April 15, 2016  Gelfand Kirillov dimension of simple modules  Neethu S. R. 
April 15, 2016  Local Class Field Theory  Sanjana Agarwal 
April 15, 2016  Index of Toeplitz Operators  Vishnu P. Iyer 
April 15, 2016  Extrapolation from weighted estimates on a single Lp0  Mitesh Modasiya 
Nov 9, 2015  The FeffermanStein’s weighted lemma for maximal function  Mohamed Hashir P 
Nov 9, 2015  Simplicity of skewLaurent rings  Neethu S R 
Nov 6, 2015  The FeffermanStein’s weighted lemma for maximal function  Mitesh Modasiya 
Nov 6, 2015  Unit Theorem and Local Fields  Sanjana Agarwal 
Nov 5, 2015  Fredholm Operators and their Index  Vishnu Prasad Iyer 
Sept 12, 2015  Formal differential operator rings  Mohamed Hashir P 
Sept 12, 2015  Skew polynomial rings and skewLaurent rings  Neethu S R 
Sept 11, 2015  Finiteness of class number  Sanjana Agarwal 
Sept 10, 2015  Lp−estimates for The HardyLittlewood maximal operator  Mitesh Modasiya 
April 21, 2015  Understanding SturmLiouville Systems  Saparya S. 
April 18, 2015  Timetable stability in Stochastic Max Plus systems  Sourabh Goyal 
April 18, 2015  Estimation of Hausdorff measure of fractals  Sweta Pandey 
April 17, 2015  Amenable groups: A second characterization  Sudhanshu Shrivastava 
Sept 16, 2014  MaxPlus analogue of PerronFrobenius Theorem  Sourabh Goyal 
Sept 16, 2014  Hausdorff dimension of selfsimilar sets  Sweta Pandey 
Sept 15, 2014  Maximum Principle for Ordinary Differential equations  Saparya S. 
Sept 6, 2014  The Banach Tarski Paradox  Sudhanshu Shrivastava 
Apr 19, 2014  On GelfandKirillov dimensions of simple modules  Saurabh Gosavi 
Apr 19, 2014  Topics in enumeration of MDS codes  Aranya Lahiri 
BSMS Core Courses
Sem I  Calculus of One Variable 
Sem II  Linear Algebra 
Sem III  Multivariable Calculus and Differential Equations 
Sem IV  Probability and Statistics 
BSMS Professional Courses
Sem V  Sem VI  Departmental Electives 
Groups and Rings  Modules  Programming and Data Structures 
Real Analysis I  Metric Spaces and Topology  Combinatorics and Graph Theory 
Elementary Number Theory  Ordinary Differential Equations  Advanced Linear Algebra 
Departmental Elective I  Departmental Elective II  
Open Elective I  Open Elective II  
Sem VII  Sem VIII  
Fields and Galois Theory  Measure and Integration  Numerical Analysis 
Real Analysis II  Differential Geometry of Curves and Surfaces  Optimization Techniques 
Partial Differential Equations  Departmental Elective III  Representation Theory 
Complex Analysis I  Open Elective IV  Introduction to Lie Groups and Lie Algebras 
Open Elective III  Open Elective V  Commutative Algebra 
Sem IX  Sem X  
Project Work  Project Work  Functional Analysis 
Departmental Elective IV  Departmental Elective VI  Complex Analysis II 
Departmental Elective V  Departmental Elective VII  Introduction to Ergodic Theory 
Fourier Analysis on the Real Line  
Introduction to Differentiable Manifolds and Lie Groups  
Introduction to Riemannian Geometry  
Introduction to Algebraic Topology  
Introduction to SturmLiouville Theory  
NonCommutative Algebra  
Operator Theory and Operator Algebras 
Integrated PhD
Sem I  Sem II 
Fields and Galois Theory  Modules 
Real Analysis II  Metric Spaces and Topology 
Complex Analysis  Ordinary Differential Equations 
Departmental Elective I  Measure and Integration 
Sem III  Sem IV 
Partial Differential Equations  Departmental Elective III 
Project Course  Project Course 
Departmental Elective IV  Departmental Elective VI 
Departmental Elective V  Departmental Elective VII 
PhD
Sem I  Sem II  Electives 
Algebra I  Algebra II  SturmLiouville Theory 
Real Analysis  Complex Analysis II  Introduction to Riemannian Geometry 
Topology I  Introduction to Differentiable Manifolds and Lie Groups  
Algebra I  Ordinary Differential Equations  Fourier Analysis on the Real Line 
Functional Analysis  NonCommutative Algebra 