**
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 |

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.

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.

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.

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

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.

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.

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.

- Prof. Satya Deo Tripathi, HRI, Allahabad
- Prof. A J Parameswaran, TIFR, Mumbai
- Prof. Mukut Mani Tripathi, BHU, Varanasi
- Dr. Sanjay Kumar Singh, IISER Bhopal

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.

- 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.

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