## Events

Momentum ray transforms, April 7, 2021

Speaker: Dr. Suman Kumar Sahoo (Postdoc)

Affiliation: IISER Bhopal

Nonlinear Stein theorem for differential forms, March 31, 2021 (Online)

Speaker: Dr. Swarnendu Sil

Affiliation: IISc Bangalore

On uniqueness of dissipative solutions to the compressive Euler system, March 24, 2021 (Online)

Speaker: Dr. Shyam Sundar Ghoshal

Affiliation: TIFR-CAM Bangalore

Two torchbearers of probability and dynamics, March 17, 2021 (Online)

Speaker:Dr. Nikita Agarwal

Affiliation: IISER Bhopal

Word maps on PSL(2, F_q), March 10, 2021

Speaker:Dr. Jyoti Prakash Saha

Affiliation: IISER Bhopal

Calderón’s Inverse Problem, February 17, 2021

Speaker:Dr. Sombuddha Bhattacharyya

Affiliation: IISER Bhopal

On the Spectrum of Dense Random Geometric Graphs, February 10, 2021

Affiliation: IISER Bhopal

Calderón's Inverse Problem, March 05, 2020

Speaker: Dr. Sombuddha Bhattacharya

High-dimensional Variable Selection for Spatial Regression and Covariance Estimation , February 27, 2020

Speaker: Dr. Siddharth Nandy, Visiting Assistant Professor, Purdue University

Deformations of Galois representations, February 25, 2020

Speaker: Dr. Shaunak Deo, Postdoctoral Researcher, TIFR Mumbai

Newforms in the theory of modular forms, February 13, 2020

Speaker: Prof. M. Manickam, former director, Kerala School of Mathematics (KSoM)

Higher moments of Riemann zeta function on certain vertical lines, February 10, 2020

Speaker: Prof. Sankaranarayanan Ayyadurai, TIFR Mumbai

A study on Unique Continuation for Fractional Laplacian Operators, February 07, 2020

Speaker: Dr. Sombuddha Bhattacharya, Post-doctoral fellow, HKUST, Hongkong

Discontinuous Flux Based Solvers for $2\times2$ hyperbolic systems admitting $\delta-$ shocks, February 06, 2020

Speaker: Prof. Aekta Aggarwal, IIM Indore

Algebraic cycles supported on generic hyperplane sections, January 16, 2020

Speaker: Dr. Kalyan Banerjee

Dr. Sudhir Pujahari, Post-doctoral fellow, Department of Mathematics, The University of Hong Kong, January 09, 2020

Speaker: Joint Sato-Tate conjecture and strong multiplicity one theorem.

Minimal Model Program (MMP) in Higher Dimensions, November 14, 2019

Speaker: Dr. Omprakash Das, Faculty at the School of Mathematics, TIFR Mumbai.

Experiments in Teacher Capacity Building, April 3, 2019

Speaker: Ms. Sneha Bhansali

Affiliation: University of Iowa, USA

Symmetrically-Normed Ideals and Characterizations of Absolutely Norming Operators, June 26, 2019

Speaker: Dr. Satish Kumar Pandey

Affiliation: Technion - Israel Institute of Technology Haifa, Israel

Fast, higher-order direct/iterative hybrid solver for scattering by Inhomogeneous media – with application to high-frequency and discontinuous refractivity problems, August 2, 2019

Speaker: Dr. Ambuj Pandey

Affiliation: California Institute of Technology, Pasadena, USA

Circle method and sub-convexity problems: Some history and recent developments, August 23, 2019

Speaker: Dr. Saurabh Kumar Singh

Affiliation: ISI Kolkata

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

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

 Harsh The Dehn-Nielsen-Baer Theorem, Thursday 1st April 2021 April 1st, 2021 Chaitanya J Kulkarni Theory of Direct Integral and Disintegration, Thursday 18th March 2021 March 18, 2021 Md Amir Hossain Hilbert $C^*$-modules, Thursday March 4th 2021 March 4, 2021 Harsh Patil Three perspectives on Braids, Thursday February 25, 2021 February 25, 2021 Monika Introduction to Knot Theory, Thursday February 18, 2021 February 18, 2021 Aniruddha S ELLIPTIC CURVES AND ELLIPTIC FUNCTIONS, February 12, 2021 February 12, 2021 Lalatendu Keshari Nayak BSMS Student Seminar- Compact and Fredholm Operators November 27, 2020 Haritha C Ph.D. Graduate Seminar II- An Alternative Definition For The Parry Measure October 5, 2020 Anshu Ph.D. Graduate Seminar II- Homotopical Stable Ranks of Crossed Product C*-algebras October 8, 2020 Renu Student Seminar - Non inner automorphism conjecture October 8, 2020 Anshu Ph.D. Graduate Seminar II - Homotopical Stable Ranks of Crossed Product C*-algebras October 8, 2020 Haritha C Ph.D. Open Seminar- Shift Spaces With A Hole: Properties And Applications October 12, 2020 Apeksha Sanghi Ph.D. Graduate Seminar II- Split metacyclic actions on surfaces October 14, 2020 Lokenath Kundu Ph.D. Graduate Seminar II- General signatures of PSL(2,7) and character table of GL(2,q) October 13, 2020 Anshu Ph.D. Open Seminar-Homotopical Stable Ranks of C*-algebras October 19, 2020 Arusha C Ph.D. Open Seminar- Poincar´e and Picard bundles on Moduli Spaces of Vector Bundles over Nodal Curves September 7, 2020 Nupur Patanker Ph.D. Open Seminar- Hamming Weights and other parameters of certain families of Linear codes September 8, 2020 Kalachand Shuin Ph.D. Open Seminar- Weighted and unweighted Lp estimates for multilinear spherical averages, maximal functions and Bochner-Riesz means September 15, 2020 Neeraj Kumar Dhanwani Ph.D. Open Seminar- Commutativity of periodic mapping classes and their representations as words in Dehn twists July 7, 2020 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

Symposium , March 25-26, 2021

The In-House Symposium of the Department of Mathematics was conceived as a platform for postdoctoral researchers and PhD students to present their research, and to engender fruitful discussion amongst them and faculty members with disparate research interests. The last two years the symposium was successful in its objectives. In its fourth edition this year, we have two plenary talks followed by 14-15 talks in each section (namely Algebra, Analysis and Geometry-Topology).
Please see the schedule for the details. 1st Day Schedule | 2nd Day Schedule

8th Indian School on Logic and its Applications 4th - 9th May 2020 @ IISER Bhopal

The Indian Institute of Science Education and Research, Bhopal (IISERB) is pleased to host ISLA 2020, the 8th Indian School on Logic and its Applications. The school will be held from 4th to 9th May, 2020 and include intensive sessions on logic and its various applications by reputed scholars in the field. The school welcomes students from all over the country and from diverse fields of study, including Mathematics, Philosophy, Computer Science, Linguistics, and other related areas. ISLA 2020 will focus on training in First-Order Logic, Set Theory, Model Theory, and Philosophy of Mathematics.

Symposium , March 06-07, 2020

The In-House Symposium of the Department of Mathematics was conceived as a platform for postdoctoral researchers and PhD students to present their research, and to engender fruitful discussion amongst them and faculty members with disparate research interests. The first 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 second symposium was held on 8th and 9th of February, 2019. Dr. Manjunath Krishnapur from IISc Bangalore was invited as the special guest. In addition to his excellent plenary talk, there were eleven other talks — five by postdocs and six by PhD students. The Symposium also included a poster presentation by some PhD students. This year, we have broadened the theme of the Symposium to include more invited talks by researchers from Institutes across the country. We believe this would motivate and guide our students in their research endeavors and also provide an atmosphere for collaborative research across disciplines.

16th Discussion Meeting in Harmonic Analysis, 16-19 Dec 2019

The first discussion meeting in harmonic analysis (DMHA) was organized by Professor M. G. Nadkarni at the University of Bombay in 1988. It had a very small budget and around 25 participants. The meeting was a great success and the participants decided to have a meeting once every two years at different locations across the country. The vision of that initial group was to have a meeting of all practitioners and students of harmonic analysis in the country, where they would be able to present their work, and discuss new developments in the subject. As participation in the biennial meeting has grown over the years, their vision has been realized. The core of a DMHA is a series of lectures focusing on one theme, by an expert in one of the promising fields. The DMHAs are intended to be accessible to mathematicians at the beginning of their career.

NCM Workshop in Harmonic Analysis, 10-14 Dec 2019

Speaker: Luca Fanelli (SAPIENZA Università di Roma, Italy)
Description: First set of lectures will be on Uniform Resolvent Estimates for Laplace and Dirac operators and applications. The plan of these lectures is as follows:
i) Introduction, non self-adjoint Hamiltonians and eigenvalue problems. The Birman-Schwinger Principle and absence of eigenvalues, as a consequence of uniform resolvent estimates for the free Hamiltonian. An overview of recent results in the non-relativistic case (Frank, Seiringer, Simon et al).
ii) The uniform Sobolev Estimate for the resolvent of the free Schrödinger Hamiltonian by Kenig-Ruiz-Sogge. Proof, and failure of the estimate for the Dirac Hamiltonian.
iii) A new Agmon-Hörmander-type estimate for the free Dirac operators. As a consequence, absence of eigenvalues for Dirac operators with almost scaling invariant complex potentials. The results are obtained in collaboration with P. D’Ancona, and N. Schiavone (Roma Sapienza).

NCMW - Operator Algebras, Quantum Groups and Noncommutative Geometry, July 1-13, 2019

In this workshop, we studied three fundamental areas of Operator Algebras, each of which is an important and involved field in its own right: (i) Noncommutative Geometry [taught by Dr. Sayan Chakraborty (IISER, Bhopal) and Prof. Arup K. Pal (ISI, Delhi)], (ii) K-theory [taught by Dr. Rohit Holkar (IISER Bhopal), and Dr. Prahlad Vaidyanathan (IISER Bhopal)], and (iii) Quantum Groups [taught by Dr. Sutanu Roy (NISER, Bhubaneshwar)]. Each course consisted of some introductory lectures in the first week, while the second week consisted of more advanced material, reflecting modern research trends within the subject. The students attending the workshop were either in an advanced stage of their PhD program, or post-docs working in related fields. The feedback from the students and the faculty was overwhelmingly positive, and the workshop was a great success.

The National Conference on Commutative Algebra and Algebraic Geometry (CAAG), July 2- 6, 2019

The National Conference on Commutative Algebra and Algebraic Geometry (CAAG) was held at IISER Bhopal during July 2-6, 2019. This is a part of biennial national / international conference on Commutative Algebra and Algebraic Geometry being held over the last two decades. Around sixty people participated in the conference. The conference brought together senior and young researchers for exchange of ideas. It also provided a platform for the young researchers to be updated on the latest developments in the subject.

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.

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.