On the maximal function associated to the Lacunary spherical means on the Heisenberg group, March 20, 2019

Speaker: Dr. Sayan Bagchi

Affiliation: IISER Kolkata

Graph-theoretic operator theory, March 4, 2019

Speaker: Prof. Sameer Chavan

Affiliation: IIT Kanpur

On nodal sets of eigenfunctions of the Laplacian, with randomness, February 9, 2019

Speaker: Dr. Manjunath Krishnapur

Affiliation: IISc Bangalore

Computational Mathematics in Biomedical Sciences, February 7, 2019

Speaker: Dr. Aarti Jajoo

Affiliation: Baylor College of Medicine, Houston, Texas

Surfaces and three-folds, January 29-31, 2019

Speaker: Professor Parameswaran Sankaran

Affiliation: IMSc, Chennai

Convexity of level lines of Martin functions, January 24, 2019

Speaker: Dr. Koushik Ramachandran

Affiliation: TIFR-CAM, Bangalore

An introduction to Mathematical Logic, January 21-24, 2019

Speaker: Dr. Sujata Ghosh

Affiliation: ISI, Chennai

Topology of Manifolds, December 26, 2018

Speaker: Prof. A J Parameswaran

Affiliation: Tata Institute of Fundamental Research, Mumbai

A proof of the Fundamental Theorem of Algebra using `only' elementary linear algebra, December 21, 2018

Speaker: Prof. Anant R. Shastri

Affiliation: IIT Bombay

Noncommutative geometry, December 11, 2018

Speaker: Prof. Jean Renault

Affiliation: Université d'Orléans

KMS states and groupoid C*-algebras, December 7, 2018

Speaker: Prof. Jean Renault

Affiliation: Université d'Orléans

On a local-global principle for Galois cohomology over the algebraic function field of one variable over a mixed-characteristic Henselian discrete valuation field, November 30, 2018

Speaker: Dr. Makoto Sakagaito

Affiliation: IISER Mohali

A multivariable calculus proof of Brouwer’s fixed point theorem, Novermber 26, 2018

Speaker: Dr. Akhil Ranjan

Affiliation: IIT, Bombay

A weak notion of negative curvature for the Kobayashi metric and analytical approaches to Kobayashi geometry, October 26 & 26, 2018

Speaker: Professor Gautam Bharali

Affiliation: IISc, Bangalore

Negative curvature and a new proof of a classical result in complex analysis, October 23, 2018

Speaker: Professor Gautam Bharali

Affiliation: IISc, Bangalore

Variants of Equidistribution In Arithmetic Progressions, October 9, 2018

Speaker: Dr. Akshaa Vatwani

Affiliation: IIT, Gandhinagar

Nature of sums associated to zeros of Riemann zeta function, September 25, 2018

Speaker: Dr. Purusottam Rath

Affiliation: Chennai Mathematical Institute

Ramanujan function, September 24, 2018

Speaker: Dr. Sanoli Gun

Affiliation: IMSc, Chennai

Fundamental group of moduli of principal bundles over a curve, September 18, 2018

Speaker: Dr. Arjun Paul

Affiliation: IMSc, Chennai

Derivations on prime and semi-prime rings, August 22, 2018

Speaker: Dr. Shailesh Kumar Tiwari

Affiliation: ICMC-University of Sao Paulo, Brazil

Modular properties of the balancing sequence, August 16, 2018

Speaker: Dr. Bijan Kumar Patel

Affiliation: IIIT Bhubaneswar

Sampling Theory In Shift-Invariant Spaces, August 14, 2018

Speaker: Dr. Antony Selvan

Affiliation: Indian Statistical Institute, Kolkata

Continuity of Condition Spectrum and its Level Set in Banach Algebra, August 14, 2018

Speaker: Dr. S Veeramani

Affiliation: IIT Hyderabad

Poincare Series of Modules Over Local Rings, May 07, 2018

Speaker: Dr. Anjan Gupta

Affiliation: Universita Degli Studi Di Genova-Italia

On Fourier multipliers on the Heisenberg groups and Hermite psudo-multipliers, May 04, 2018

Speaker: Dr. Sayab Bagchi

Affiliation: IISc Bangalore

Differential calculus in Noncommutative Geometry and the quatum double suspension, April 27, 2018

Speaker: Dr. Shreedevi Masuti

Affiliation: IIT Bombay

Differential calculus in Noncommutative Geometry and the quatum double suspension, April 26, 2018

Speaker: Dr. Satyajit Guin

Affiliation: IMSc Chennai

A universal property for groupoid C*-algebras, April 23, 2018

Speaker: Dr. Rohit D Holkar

Affiliation: University of Goettingen

Elliptic curves and prime numbers, April 20, 2018

Speaker: Dr. Sumit Giri

Affiliation: IMSc Chennai

Disjointness of models, April 18, 2018

Speaker: Dr. Mahendra Verma

Affiliation: IIT Bombay

Experiments in Teacher Capacity Building, April 3, 2019

Speaker: Ms. Sneha Bhansali

Affiliation: University of Iowa, USA

Deo Ashish Samanta

Geometric Classification of M ̈obius Transformations and Isometries of Hyperbolic

October 10, 2018

Shriya Gehlot

Entropy of Irreducible Sofic Shifts

October 24, 2018

Prerak Deep

Morse Theory : An overview

October 24, 2018

Gaurav Kucheriya

Flipping Edges in Triangulations

October 29, 2018

Shilpa Saini

Computational aspects of Curves and Surfaces.

October 29, 2018

Suman Dutta

Discrete Fourier analysis and applications

October 30, 2018

Mayank Jain

Free groups and Group actions

October 31, 2018

Antony James

Composition of binary quadratic forms

October 31, 2018

Deepak Dixit

The Isoperimetric inequality and minimal surfaces

November 1, 2018

Varun Kulkarni

Witt Group Computation

November 2, 2018

Vidit Das

Introduction to Mapping Class Groups I

November 2, 2018

Deepak Kumar

Guass-Bonnet Theorem

November 5, 2018

Satvik Goswami

Riemann-Roch Theorem

November 5, 2018

Gayatri Limaye

Knots, Links and RNA

November 8, 2018

Ritwik Upadhyay

Prime Number theorem

April 9, 2018

Mohammed Rameez Qureshi

Perfect Equilibrium in Bargaining Model

April 10, 2018

Ajay Kumar Nair

Knots, 3-manifolds and Lickorish-Wallace Theorem.

April 10, 2018

Georgy C Luke

Khoanov Homology and its computation for certain knots

April 11, 2018

Sreekanth D

Graph Imbedding and Heawood Problem on Orientable Surfaces

April 14, 2018

Maya Verma

Complex Topological K-Theory

April 12, 2018

Ashok Kumar

Twin prime estimates using sieve methods

April 12, 2018

Akshay Ravindra Date

Cohomology Operations

April 12, 2018

Shravan Saoji

The theorem of the highest weight for sl(2, C)

April 13, 2018

Mayank Mishra

Modularity and Powerful p-groups

April 13, 2018


In-House Symposium, February 8-9, 2019

The In-House Symposium of the Department of Mathematics was conceived as a platform for post-doctoral researchers and PhD students to present their research, and to engender fruitful discussion among them and faculty members with disparate research interests. The second symposium was held on 8th and 9th of February, 2019. Dr. Manjunath Krishnapur (IISc) was invited as a special guest. In addition to his excellent plenary talk, there were eleven other talks; five by post-docs and six by PhD students, and several lively discussions over coffee. The Symposium also included a poster presentation by some PhD students. The culture of free exchange of ideas that has been a core value of the department was there for all to see, and it is hoped that future iterations continue building on this.

NCM workshop on Contact and Symplectic Geometry, December 3-14, 2018

In the last two decades, the area of Contact and Symplectic Geometry has been growing very rapidly. The geometry and topology of Contact and Symplectic structures is intimately tied with the properties of the manifolds on which these structures rest. This area has interesting and intriguing connections with many fields in mathematics and physics.
In this workshop, we wish to give the audience a fairly good knowledge about the two dominant features of Contact and Symplectic structures, namely "Flexibility" and "Rigidity" as envisaged by Gromov and propagated further by Eliashberg and others.
The flexibility refers to a feature of these structures where “h-principle” type results can be proved while the rigidity refers to an aspect that relies on the use of “J-holomorphic curves”. The fine line that differentiates the flexibility and the rigidity has been elusive, and is a matter of great mathematical interest.
The first week of the workshop will recall briefly the basics of Contact and Symplectic Geometry. The connections with other fields of mathematics and physics will be discussed. Eliashberg's classification of overtwisted contact structures in dimension three will also be discussed. There will be talks on the introduction to J-holomorphic curves.
The second week will consist of lectures on advanced topics that reflect the current research trends in Contact and Symplectic Geometry. The students in the advanced stages of PhD program, postdocs and young faculty members working in this or related fields will greatly benefit from this workshop.

AFS - I (2018) IISER Bhopal | National Centre for Mathematics, December 3-29, 2018

Basic knowledge in algebra, analysis and topology forms the core of all Advanced Instructional Schools organized by NCM. The main objectives of AFS are to bring up students with diverse background to a common level and help them acquire basic knowledge in these subjects required in Advanced Instructional Schools.
AFS programs are targeted at fresh Ph. D. students in research institutions and universities in the country.

Simon Marais Mathematics Competition (SMMC) 2018

The SMMC is an international mathematics competition involving participation from students from various institutions from the Asia Pacific region.

In-house Symposium, Feb 3, 2018

The first In-House Symposium of the Department of Mathematics was conceived as a platform for post-doctoral researchers and PhD students to present their research, and to engender fruitful discussion amongst them and faculty members with disparate research interests. The Symposium was held on February 03, 2018, and Prof. V. Srinivas (TIFR Mumbai) was present as an external guest. In addition to his plenary talk, there were six other talks; three by post-docs and three by PhD students. The Symposium ended with a poster presentation by some PhD students, along with lively discussions. The culture of free exchange of ideas that has been a core value of the department was there for all to see, and it is hoped that future iterations continue building on this.

Science Academies' Lecture Workshop on "Geometry and Topology" (20-21 Jan 2018)

The purpose of this two-day workshop is to provide an opportunity to young teachers, researchers and students of Mathematics to learn about important topics in Geometry, Topology and their applications from active researchers and experts.

About the Workshop

A two days lecture workshop on “Geometry and Topology” was held on 20th & 21th Jan 2018 at IISER Bhopal, Madhya Pradesh. The workshop was organized by Department of Mathematics, in association with Indian National Science Academy, New Delhi, The National Academy of Sciences, Allahabad and Indian Academy of Sciences, Bangalore.

Prof. (Dr.) A. J. Parameswaran, School of Mathematics, Tata Institute of Fundamental research was the workshop Convener and Dr. Sanjay Kumar Singh, Assistant Professor, Department of Mathematics, Indian Institute of Science Education and Research was the Coordinator. Fellows from Science Academies’ and eminent academicians from reputed institutions were invited in the workshop to disseminate the proposed concepts to the participants.

The lectures in this workshop have covered specific topics which were relevant to the teachers' classroom instructions. An important component of this program was the discussion hour during which the participants interacted with each other and cleared their doubts and worked-out routine into advanced exercises. In this workshop, participant learned the basics of mathematics and use them to study some specific topics in Geometry and Topology. Through these topics, Speakers has discussed some questions of current interests to get a flavor of ongoing research in these areas.

The main intention to organize this workshop was to promote mathematics in Bhopal and improve quality of teaching which is essential for motivating students for research in Mathematics. We hope that after attending this school, our participants would be able to motivate and encourage their students to study Mathematics at the higher level.

Resource Persons:
  • Prof. Satya Deo Tripathi, HRI, Allahabad
  • Prof. A J Parameswaran, TIFR, Mumbai
  • Prof. Mukut Mani Tripathi, BHU, Varanasi
  • Dr. Sanjay Kumar Singh, IISER Bhopal
IWM: Regional Workshop on Career & Opportunities (October 7-8, 2017)

This workshop was held during October 7-8, 2017 at IISER Bhopal. It was a one-and-a-half day workshop that was open to all post-graduate students, Ph.D. scholars, research fellows and college/university faculty members primarily working in various areas of mathematics. There was a special focus however on women participants. The aim was to encourage and support large-scale participation from women, and to provide an exposure to research and a platform to discuss career opportunities in mathematics.

Resource persons
  • Prof. Shreemayee Bora, IIT Guwahati
  • Prof. C. S. Dalawat, HRI Allahabad
  • Prof. S. G. Dani, DAE Centre for Excellence in Basic Sciences - University of Mumbai
  • Prof. Neela Nataraj, IIT Bombay
  • Prof. Geetha Venkataraman, Ambedkar University Delhi
  • Prof. Kaushal Verma, IISc Bangalore

There was also a talk on career opportunities in mathematics available for students by Dr. Dheeraj Kulkarni (IISER Bhopal), and a panel discussion after the talk.

Prof. Riddhi Shah (JNU, Delhi), Chairperson and Prof. Geetha Venkataraman was the convener of this workshop. The local organizing committee comprised of Dr. Atreyee Bhattacharya, Dr. Kashyap Rajeevsarathy and Dr. Nikita Agarwal.