• NNLO QCD⌐QED corrections to unpolarized and polarized SIDIS [HBNI Th287]  

  Vaibhav Pathak (Institute of Mathematical Sciences, 2026)

  This thesis focuses on advancing the theoretical understanding of semi-inclusive deep inelastic scattering (SIDIS) through the high precision computation of higher-order radiative corrections. In this work, we computated ...
• Effect of non-equilibrium fluctuations in transport and escape problems [HBNI Th286]  

  Vishwajeet Kumar (The Institute of Mathematical Sciences, 2026)

  This thesis was broadly divided into two parts. The first part was dedicated to the formulation of the Arrhenius law for interacting diffusive systems, along with an analysis of its inference properties. The second part ...
• Parameterized approximation algorithms for Partial Covering and Satisfiability with budget constraints [HBNI Th285] 

  Anannya Upasana (The Institute of Mathematical Sciences, 2026)

  This thesis studies parameterized approximation algorithms for partial covering problems through a unified framework centered around Maximum Coverage and CCMaxSat. We investigate two complementary optimization objectives: ...
• Complexity of regulatory logic and dynamics of Boolean models of biological networks [HBNI Th284] 

  Priyotosh Sil (The Institute of Mathematical Sciences, 2026)

  Gene regulatory networks (GRNs) orchestrate cellular behavior through complex combinatorial interactions among genes. Boolean models provide a tractable framework for studying GRN dynamics and have been widely used to ...
• Parameterized Tractability Landscape of Partitioning, Covering, and Satisfiability Problems [HBNI Th283] 

  Souvik Saha (The Institute of Mathematical Sciences, 2026)

  This thesis investigates the parameterized complexity of NP-hard partitioning, covering, and satisfiability problems, identifying tractable cases through fixed-parameter algorithms, kernelization, and parameterized ...

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