Embedded Files
Upcoming
Mathematics Online Seminar Series (MOSS) is a student-run and faculty co-ordinated online seminar series, where several distinguished speakers are invited to talk about what they love to do and motivate young researchers to pursue mathematics. Students(UG/PG/PhD) from many institutes/universities participate in this seminar series and we hope they enjoy themselves!
Mathematics Online Seminar Series (MOSS) is a student-run and faculty co-ordinated online seminar series, where several distinguished speakers are invited to talk about what they love to do and motivate young researchers to pursue mathematics. Students(UG/PG/PhD) from many institutes/universities participate in this seminar series and we hope they enjoy themselves!
All the seminars will be recorded with the permission of the speakers and the audience, and the recordings/notes are uploaded on the archive page of MOSS 2023.
All the seminars will be recorded with the permission of the speakers and the audience, and the recordings/notes are uploaded on the archive page of MOSS 2023.
An Introduction to Inverse Problems
Details about the Event:
Title: An Introduction to Inverse Problems
Speaker: Dr. Manas Kar
Venue: Zoom (Online)
Date and time: Sunday, Apr 23, 2023, 11:00 AM
Abstract: In principle, inverse problems are those where from an external observation of a hidden system, one needs to recover the unknown parameters of the system. Applications include biomedical imaging to detect cancer cells, finding the location of oil and mineral deposits in the Earth’s interior, creating astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, and many more. In this talk, I will mainly give an introduction to this topic. We will start with the basic conductivity equation as a model problem and discuss the related inverse problems. Finally, I will discuss some results on inverse problems for the p-Laplace equation.
Dr. Manas Kar is an assistant professor at IISER Bhopal. He obtained his M.Sc from TIFR-CAM in Bangalore. He obtained his PhD from Johann Radon Institute for Computational and Applied Mathematics (RICAM), in Austria. He held two post-doctoral positions in University of Jyvaskyla, in Finland and National Taiwan University. His research lies in Analysis of Partial Differential Equations. He is interested in nonlinear inverse problems, in particular, p-Laplace type problems. He works on problems such as inclusion detection, interior uniqueness for the conductivity, construction of complex geometrical optics solutions in 2D, boundary uniqueness for the higher order normal derivatives of the conductivity for weighted p-Laplace equations.
Geometric aspects of the Orthogonal Matrices
Details about the Event:
Title: Some geometric aspects of the Orthogonal Matrices
Speaker: Prof. Jugal K Verma
Venue: Zoom (Online)
Date and time: Saturday, Apr 22, 2023, 11:30 AM
Abstract: We will discuss a theorem of Elie Cartan : Any orthogonal matrix of order n is a product of at most n matrices of reflections. Matrices of reflections are the so-called Householder matrices, which are extensively used in computations. We will derive a theorem of L. Euler who first proved that the matrices of rotations of the three-dimensional Euclidean space form the special orthogonal group SO(3). The finite subgroups of SO(3) are exactly the groups of symmetries of the Platonic solids which constitute the main subject of the thirteenth Book of Euclid. If time permits, we will also mention how rotations are best described using real quaternions.
Prof. J. K. Verma is a professor in the department of Mathematics at IIT Bombay. After graduating from Purdue University in 1987, he held the position of assistant professor at University of Kansas and Louisiana State University before joining IIT Bombay in 1990. Prof. Verma has made fundamental contributions in commutative algebra and related areas. He found an interesting connection between the Rees algebras and mixed multiplicities which enriched the study of Hilbert functions. Besides several awards and honours, Prof. Verma has been a member of several scientific committees including SERB, UGC, NBHM, INSA, RMS, to name a few.
Statistics and Data Science
Statistics and Data Science
Details about the Event:
Title: Statistics and Data Science
Speaker: Prof. Dootika Vats
Venue: Zoom (Online)
Date and time: Wednesday, Apr 12, 2023, 05:00 PM
Abstract: Data science, statistics, and machine learning are often used interchangeably when referring to new-age big (or small) data analysis. How similar are these topics, and what, if at all, distinguishes them? Using a variety of applied research examples, I will try and highlight the differences and similarities in these areas. The talk will be directed towards young scholars, interested in pursuing research in the study of data
Prof. Dootika Vats is an assistant professor in the department of Mathematics and Statistics at the Indian Institute of Technology (IIT) Kanpur. She's the 2021 recipient of the Blackwell-Rosenbluth award. She did her PhD from University of Minnesota, Twin Cities with Prof. Galin Jones and she was an NSF postdoctoral fellow with Prof. Gareth Roberts at the University of Warwick. Prof. Vats' research centres upon Markov chain Monte Carlo, Output Analysis for Stochastic Simulation, and Stochastic Optimization.
Hilbert's Tenth Problem, for the 21st Century
Hilbert's Tenth Problem, for the 21st Century
Details about the Event:
Title: Hilbert's Tenth Problem, for the 21st Century
Speaker: Prof. Sylvy Anscombe
Venue: Zoom (Online)
Date and time: Sunday, April 2, 2023, 2:30 PM IST, 10AM Paris Time
Abstract: Hilbert’s Tenth Problem — originally posed for the ring R=Z — asked for an algorithm to determine, for any multivariable polynomial, whether or not it has a zero in R. The celebrated theorem of Matiyasevich in 1970 — building on the work of Davis, Putnam, and Robinson — showed that no such algorithm exists for R=Z! I will speak about Hilbert’s Tenth Problem, briefly in its original form, and explain current work in this area, in a variety of contexts, especially in local and global fields.
Abstract: Hilbert’s Tenth Problem — originally posed for the ring R=Z — asked for an algorithm to determine, for any multivariable polynomial, whether or not it has a zero in R. The celebrated theorem of Matiyasevich in 1970 — building on the work of Davis, Putnam, and Robinson — showed that no such algorithm exists for R=Z! I will speak about Hilbert’s Tenth Problem, briefly in its original form, and explain current work in this area, in a variety of contexts, especially in local and global fields.
Prof. Sylvy Anscombe is maîtresse de conférences at Université Paris Cité, and a member of the Équipe de Logique in the Institut de Mathématiques de Jussieu–Paris Rive Gauche. Her research interests lies in mathematical logic, particularly in model theory, and its connections to algebra and number theory.
Quantum symmetries of finite spaces
Quantum symmetries of finite spaces
Details about the Event:
Title: Quantum symmetries of finite spaces
Speaker: Dr Sutanu Roy
Venue: Zoom (Online)
Date and time: Saturday, April 1, 2023, 11 AM IST
Abstract: Classical permutations are symmetries of sets with finitely many points. In the matrix representation, classical permutations are specific square matrices with entries of either 0 or 1. This perspective was generalised by Shuzhou Wang in 1998, and he introduced the notion of quantum permutation group. This talk primarily aims to motivate Wang's pioneering idea and discuss a few properties of the quantum permutation group.
Abstract: Classical permutations are symmetries of sets with finitely many points. In the matrix representation, classical permutations are specific square matrices with entries of either 0 or 1. This perspective was generalised by Shuzhou Wang in 1998, and he introduced the notion of quantum permutation group. This talk primarily aims to motivate Wang's pioneering idea and discuss a few properties of the quantum permutation group.
Dr Sutanu Roy is currently a Reader-F faculty at NISER, Bhubaneswar. After doing his M.Sc from IIT Guwahati,he obtained his PhD from Georg-August Universitat, Gottingen under the supervision of Prof. Ralf Meyer. He was a Fields-Ontario postdoctoral fellow at Fields Institute (2014), University of Ottawa (2015), Carleton University. Also he was a visiting scientist at Indian Statistical Institute, Kolkata. Dr.Roy’s research focus mostly lies on Topological Quantum groups, Noncommutative Geometry, Operator Algebra.
He was awarded the Fields-Ontario Postdoctoral fellowship (2014), Inspire faculty award by DST (2016), Early Career Research Award by SERB (2017), INSA medal for young scientists (2020). He is a very good speaker and has given several public lectures, apart from specialised lectures and guided many students for their PhD, MS thesis.
Beyond uniform distribution
Beyond uniform distribution
Details about the Event:
Title: Beyond uniform distribution
Speaker: Prof. Anirban Mukhopadhyay
Venue: Zoom (Online)
Date and time: Saturday, March 25, 2023, 06:30 PM IST
Abstract: Following a brief discussion on the uniform distribution of sequences in [0,1), we venture into other finer measures of distribution. Our focus will be on Poissonian pair correlation, measuring the distribution of gaps in such sequences.
Abstract: Following a brief discussion on the uniform distribution of sequences in [0,1), we venture into other finer measures of distribution. Our focus will be on Poissonian pair correlation, measuring the distribution of gaps in such sequences.
Prof. Anirban Mukhopadhyay, currently a member of the faculty at the Institute of Mathematical Sciences (Chennai), pursued his doctoral studies at the Harish-Chandra Research Institute (Allahabad) and postdoctoral studies at the Institute of Mathematical Sciences (Chennai). His area of research is Number Theory and in particular Analytic Number Theory.
Page updated
Report abuse