Amit Chattopadhyay

Assistant Professor

Email: a.chattopadhyay@iiitb.ac.in

Education

  • Ph.D. (University of Groningen)

Dr. Amit Chattopadhyay received his PhD degree (in Jan, 2011) on "Certified Geometric Computation" from Johann Bernoulli Institute of Mathematics and Computer Science of University of Groningen in the Netherlands. After receiving his PhD he worked as a postdoctoral fellow at Universite Catholique de Louvain in Belgium, at University of Leeds in UK and at IISc, Bangalore. He holds a M.Tech degree in Computer Science from Indian Statistical Institute (Kolkata) and M.Sc degree in Mathematics from Indian Institute of Technology (Kharagpur). His research interests include Computational Topology and Data Analysis, Certified Geometric Computation, Scientific Visualization, Optimization on Matrix Manifolds and Level Set Method.

Webpage: amitchattopadhyay.weebly.com

Research Interests

  • Geometric Algorithms, Computational Topology, Computational Singularity Theory, Data Analysis and Visualization, Geometric Modeling, Optimization on Matrix Manifolds, Level Set Methods

Selected Publications

Teaching

Computer Science:

  • CS815-Topological Data Analysis, Elective for M.Tech, IIIT-Bangalore (Lecturer)
  • GEN512-Mathematics for Machine Learning, for M.Tech and iMtech, IIIT-Bangalore, (Lecturer)
  • CS709-Geometric Modeling, for M.Tech, IIIT-Bangalore, (Lecturer)
  • CS815-Computational Topology, Elective for M.Tech, IIIT-Bangalore (Lecturer)
  • Numerical Computation and Visualization, for Undergraduate, School of Computing, University of Leeds (Teaching Assistant)
  • Mechanics of Structures with Graphics, for Undergraduate, MEMA, UCL, Belgium (Teaching Assistant)


Mathematics:

  • SM201-Maths 3, Vector Analysis, Differential Equation, for IM.Tech, IIIT-Bangalore, (Lecturer)
  • GEN504-Linear Algebra, for M.Tech, IIIT-Bangalore, (Lecturer)
  • BS109-Probability and Statistics, for IM.Tech, IIIT-Bangalore, (Lecturer)
  • Vector Analysis, for Undergraduate, JBI, University of Groningen (Teaching Assistant)


other Information

Research Projects 

Topological Data Analysis: Tools for Multivariate (funded by SERB-CRG, 2019-2022)

A wide range of data that appear in scientific experiments and simulations are multi-field or multivariate (involving multiple scalar fields simultaneously). For example, the time-varying spatial density data of proton and neutron in the nucleus of a Plutonium atom – where the goal is to detect the time stamp of nuclear scission; molecular biology data of Electrostatic and van der Waal forces – where the goal is to study the protein-protein interaction; combustion data – where the goal is to study the progress of combustion with the fuel in process and so on. Topological and geometrical analysis of such data aims to reveal interesting features useful to the domain scientists. The goal of this project is to develop robust tools for extracting and visualizing topological features based on Reeb space, Reeb skeleton, fiber surfaces, multi-dimensional persistent homology and other techniques from computational topology.

Local collaborators:

  • Dr. Amit Chattopadhyay (PI), 
  • Tripti Agarwal (MS by research student, since Aug 2017)
  • Yashwanth Ramamurthi (PhD student, since June 2019)

 

High Resolution DNS of 3D-MHD turbulence with varying PRm and Spectral, statistical and topological analysis of Magnetic Structures formed with some implications to Plasma Fusion Devices (funded by DAE, BRNS, 2017-2020)

Turbulence is a chaotic phenomenon observed in fluids which is nonlinear in both space and time. In this project we aim to perform high resolution direct numerical simulations of 3D-MHD turbulent flows, with varying Magnetic Prandtl number using both the initial condition and a forcing that injects magnetic and or kinetic helicities, present in as much small-scales as computationally possible. Using the obtained data from the simulations, three types of analyses are planned namely (a) spectral (b) statistical and (c) topological.

Local collaborators:

  • Dr. Shiva Kumar Malapaka (PI)
  • Dr. Jaya Sreevalsan Nayar (Co-PI)
  • Dr. Amit Chattopadhyay (Co-PI)

 

Certified Geometric Computation

Certified geometric computation, is a newly emerging branch of computing science where the main goal is not only numerical accuracy, but above all the geometric and topological correctness of the output. More precicsely, in certified geometric computation, the challenge is to develop algorithms for computing topologically correct and geometrically close approximations of implicit or explicit input shapes.

Local collaborators:

  • Dr. Amit Chattopadhyay (PI)
  • Yashwanth Ramamurthi (PhD student, since June 2019)

 

3D Volumetric Shape Reconstruction from 2D Image Slices

In computed tomography (CT), magnetic resonance imaging (MRI) and ultrasound imaging, reconstruction of 3D volumetric shape from the 2D cross-sectional images is a challenging problem because of large and unequal spacing between the slice images. In the current project we consider the information of the planar contours extracted from the cross-sectional images to reconstruct the topologically correct (certified) 3D shape.

Local collaborators:

  • Dr. Amit Chattopadhyay (PI)

 

Open Positions

I have few openings for motivated students who are interested in doing PhD or MS or Master-project in one of the above topics. Interested candidate can apply by sending (i) CV and (ii) a letter of motivation to my e-mail-id: a.chattopadhyay@iiitb.ac.in (please read the project descriptions before applying).