Mathematics: Recent submissions

  • Lakshya; Sengupta, Debarka (Advisor) (IIIT-Delhi, 2024-11-27)
    The DNA-ALIGNER is a novel model designed to align mRNA and gene sequences. In cellular biology, DNA is transcribed into mRNA, which serves as the template for protein synthesis. DNA-ALIGNER addresses the challenge of ...
  • Raj, Rohit; Arya, Tarun Kumar; Satyam; Haripriya, Soibam (Advisor) (IIIT-Delhi, 2024-11-27)
    Fashion is an integral part of human life. It extends beyond clothing and accessories, serves as a medium for self-expression, and reflects an individual's personality and cultural identity. In this study, we examine the ...
  • Singh, Digvijay; Shankhwar, Kalpana (Advisor) (IIIT-Delhi, 2024-11-27)
    In modern agriculture, the imperative of efficiency and productivity underscores the need for optimized navigation and monitoring practices to meet the demands of a burgeoning global population. Effective traversal and ...
  • Gupta, Anmol; Gupta, Bhavya; Bagler, Bagler, Ganesh (Advisor) (IIIT-Delhi, 2024-12-08)
    The culinary domain offers significant opportunities for leveraging AI to simplify and enhance recipe-related interactions. This project focuses on developing an intelligent recipe chatbot that performs two primary tasks: ...
  • Sethi, Alhad; Mukherjee, Manuj (Advisor) (IIIT-Delhi, 2024-11-27)
    In this work, we give generalization bounds of statistical learning algorithms trained on samples drawn from a dependent data source both in expectation and with high probability, using the Online-to-Batch conversion ...
  • Arya, Archana; Kalyanaraman, Kaushik (Advisor) (IIIT-Delhi, 2026-06)
    Computational electromagnetics involves the numerical solution of Maxwell’s equations and has been one of the fundamental pillars of modern electrical engineering. Given the ubiquity of electrical and electronic devices ...
  • Bittu; Chaubey, Sneha (Advisor) (IIIT-Delhi, 2026-04)
    In this thesis, we study the distribution of Farey sequences. Let Q be a positive integer. The Farey sequence FQ of order Q is the set of irreducible fractions in [0, 1] whose denominators do not exceed Q. The first study ...
  • Singh, Karamjeet; Raman, Rajiv (Advisor) (IIIT-Delhi, 2026-01-13)
    A hypergraph H is a pair (V, E), where V is a set of vertices, and E is a collection of subsets of V , called hyperedges. They are used to express complex relations, and they generalize graphs where each element of E is a ...
  • Bhavna; Pandey, Ashish Kumar (Advisor) (IIIT-Delhi, 2025-08)
    This thesis investigates the spectral instabilities of various nonlinear water wave models through rigorous analytical techniques. Focusing on three fundamental types of instabilities, modulational instability, transverse ...
  • Khurana, Divya; Banerjee, Shilpak (Advisor); Chaubey, Sneha (Advisor); Kunde, Philipp (Advisor) (IIITD, 2025-08)
    Ergodic theory often involves dealing with transformations of measure spaces that preserve specific measures, such as volume or probability measures. These transformations establish a framework for studying the behavior ...
  • Khyati; Banerjee, Debika (Advisor) (IIIT-Delhi, 2025-07-04)
    Summation formulas play a vital role in analytic number theory. Several kinds of summation formulas exist, like the Poisson summation formula, Abel summation formula, Euler-Maclaurin formula, etc. In 1904, G. F. Voronoi ...
  • Roy, Sayantan; Basu, Sankha S. (Advisor); Chakraborty, Mihir K. (Advisor) (IIIT-Delhi, 2024-07-01)
    Universal logic, as described by Béziau, is a structural approach to logic which aims to unify the large kaleidoscopic variety of logics, while preserving their diversity. In order to do this, Béziau’s original proposal ...
  • Chauhan, Tanisha; Sircar, Sarthok (Advisor) (IIIT-Delhi, 2025-01-27)
    This thesis explores the rheodynamics of viscoelastic subdiffusive fluids and high-lights the potential of fractional calculus in modelling these types of fluids. A novel fractional model is developed to investigate the ...
  • Aggarwal, Divya; Ram, Samrith (Advisor) (IIIT-Delhi, 2024-09)
    Let V be a vector space of dimension n over the finite field Fq and T be a linear operator on V . Given an integer m that divides n, an m-dimensional subspace W of V is T-splitting if V = W ⊕ TW ⊕ · · · ⊕ Td−1W where d = ...
  • Goel, Shivani; Chaubey, Sneha (Advisor) (IIIT-Delhi, 2024-05)
    While studying the trigonometric series expansion of certain arithmetic functions, Ramanujan, in 1918, defined a sum of the nth power of the primitive qth roots of unity and denoted it as cq(n). These sums are now known ...
  • Sharma, Sandeep; Sharma, Anuradha (Advisor) (IIIT-Delhi, 2024-05)
    In this thesis, we define and study a new class of additive codes over finite fields, viz. multi-twisted (MT) additive codes, which is a generalization of constacyclic additive codes and an extension of MT (linear) codes ...
  • Gupta, Arsh; Makkar, Kshitij; Bagler, Ganesh (Advisor) (IIIT-Delhi, 2023-11-29)
    With growing diversity in personal food preference and regional cuisine style, personalized information systems that can transform a recipe into any selected regional cuisine style that a user might prefer would help food ...
  • Mishra, Dhruv; Bajaj, Kshitij; Chatterjee, Bapi (Advisor) (IIIT-Delhi, 2023-11-29)
    Counting Bloom filters are highly space-efficient with a small probability of false positives. Concurrent access to a Counting bloom filter can greatly increase its insertion and query throughput.
  • Singh, Yash Vardhan; Sethi, Tavpritesh (Advisor) (IIIT-Delhi, 2023-11-29)
    The goal of this project is to include a strong incentive system into the Personal Health Record (PHR) Android application in order to improve user engagement and participation. The principal aim is to incentivize users ...
  • Arora, Satyam; Shah, Rajiv Ratn (Advisor) (IIIT-Delhi, 2023-11-28)
    Automatic Speech Recognition has been a prominent sector in Computer Science Research for decades, generating thousands of research papers in recent years. It is a complex and evolving field, having intersections with ML, ...

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