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  • UMMAT, BADEER HASSAN (2021-06)
    The organisation of microtubule filaments in neurites is starkly different from each other. In vertebrates, the microtubules in the axon are almost organised with their plus ends directing towards the cell periphery/axon ...
  • HALDER, KOUSTAV (2021-06)
    Vegetation cover in certain ecological habitats display the naturally occurring presence of non-uniform “patchy” clusters of dense vegetation; with the steady-state distribution of these cluster sizes exhibiting a “power-law” ...
  • KULKARNI, SUMAN SATISH (2021-06)
    This thesis defines a variation of a regular random graph called the Random Locally Tree-like Layered Lattice (RLTL). Such lattices are of interest because the Bethe approximation becomes asymptotically exact on them. ...
  • SAMANTA, MRITYUNJAY (2021-06)
    Natural Language Processing (NLP) is one of the most challenging and rapidly growing fields in artificial intelligence. It is all about deciphering human languages and deriving meaning from them. Some of the commonly ...
  • CHOUDHARY, ABHISHEK (2021-06)
    In today's world of data and information, deep learning has proven to be the ace in data science applications. While we hear much of deep learning concerning computer vision, NLP (Natural Language Processing), audio analysis ...
  • HASHIM, MOHAMED (2021-06)
    Distortion of the density of states(DOS) via resonant level has been reported to improve the thermoelectric figure of merit (ZT) of material. BaCu2S2 exists in two phases a high-temperature tetragonal phase and a ...
  • VALECHA, BHAVESH (2021-06)
    The tremendous advances in technology achieved over the past few decades have made possible engineering thermoelectric devices at astonishingly small scales, scales at which we can no longer neglect the inherent fluctuations. ...
  • GANDHI, YATHARTH (2021-06)
    Non-perturbative techniques are important for studying Quantum field theory and Conformal field theory. Symmetries provide us with a powerful tool to study the conformal field theories non-perturbatively. Higher spin ...
  • MANJILA, NIMA ROSE (2021-06)
    We study Morse theory. Then, we prove the Lefschetz hyperplane section theorem using only Real Morse Theory. This is a beautiful little proof without making use of monodromy, vanishing cycles and thimbles. We have also ...
  • YADAV, SURAJ (2021-06)
    Spectral Clustering is a well known clustering method which overcomes the limitations of traditional clustering algorithms like k-means clustering. The Algorithm involves finding eigenvectors of a graph Laplacian which ...
  • SHIRSATH, PRAFUL (2021-06)
    We have ten more years to achieve the ambitious 17 Sustainable Development Goals (SDGs) set up by the United Nations in 2016. Looking at the 169 target and 230 indicators under the 17 SDGs, we see they are interconnected ...
  • MITHRAN, AKHIL (2021-06)
    The upcoming Electron Ion collider facility is aimed at providing more information on the structure inside the hadrons. As part of improving the detector development and integra- tion of software into the main workflow ...
  • ADITHYA, S. (2021-06)
    Conformal field theory in momentum space has a wide range of applications but has been studied much lesser compared to its position space counterpart. In this thesis, we calculate momentum space 3- point functions in a ...
  • CHAKRABORTY, ARIJIT (2021-06)
    An elliptic curve $E$ over a field $\mathbb{F}$ can be defined by the equation $$y^2 = x^3 + ax+ b,$$ where $a, \, b \in \mathbb{F}.$ For any $r \geq 1$, let $a_E{(p^r)}$ denote the trace of the Frobenius endomorphism ...
  • DABHOLKAR, KABIR VINAY (2021-06)
    Recurrent Neural Networks (RNNs) trained on neuroscience tasks are promising models of population dynamics of their biological counterparts [1, 2, 3, 4]. In this approach, RNNs are only constrained by task definition, ...
  • SAMANTA, ARYA (2021-06)
    In this thesis, we use convolutional long short-term memory based neural network archi- tectures to predict certain basic dynamics of weather variables. First, rainfall dynamics are studied across direct and iterative ...
  • GHUMMAN, MANRAJ (2021-06)
    This project is mainly concerned with the understanding of the problem of extending Lipschitz functions from the boundary of some set to inside it in some special way. This extension is minimal/least fluctuating in some ...
  • JANGLE, ASHUTOSH (2021-06)
    The central objective of this thesis is to state and prove the main theorems of local and global class field theory. We first give a brief overview of basic algebraic number theory followed by group cohomology. Then, we ...
  • SRINIVASAN, ADARSH (2021-06)
    In this thesis, we study some computational problems in permutation group theory and their applications to public-key cryptography. The primary goal of this thesis is to come up with a cryptosystem similar to the McEliece ...
  • SURENDRANATH, SUDHEESH (2021-06)
    In this thesis, we study the random-field approach for solving a class of parabolic stochastic partial differential equations and study some properties exhibited by their solutions, some of which include intermittency, ...

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