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ISMaRT
  • Home
  • Projects
    • Extraction of Electricity from Water – Modelling and Optimization
    • Monochromatic partitionings of edge-colored graphs
    • Rainbow trees
    • Random Points of Shapes in Space
    • Trail Trap on Cubic Hamiltonian Graphs
    • Unlocking the Secrets of Shape Optimization
    • Past projects
      • Car-following
      • Computations of quantum eigenstates via deep neural networks
      • Control theory
      • Coxeter groups and extreme monomial ideals
      • Deep Neural Networks
      • Edge ideals
      • Equilibria of a time-inconsistent Markov decision processes
      • Food chains (2020)
      • Food chains (2021)
      • Frobenius problem
      • Geodesics
      • Happy Numbers
      • Gradient descent
      • Infinitesimal Symmetries
      • Kemeny's Constant
      • Machine learning
      • Matching
      • Maximal independent sets in grid-like graphs
      • Metric Dimension
      • Packing
      • Planar Turan number of {C4, C5}
      • Quantum groups
      • Random Set Zero Forcing
      • Rearrangements of infinite series
      • Semidiscrete FEM
      • Shape of a Drum
      • Turbulent Flows
      • Vaccination
      • Volume subsets
      • What is the fastest route down a hill?
      • Zero forcing
  • Applications
ISMaRT
  • Home
  • Projects
    • Extraction of Electricity from Water – Modelling and Optimization
    • Monochromatic partitionings of edge-colored graphs
    • Rainbow trees
    • Random Points of Shapes in Space
    • Trail Trap on Cubic Hamiltonian Graphs
    • Unlocking the Secrets of Shape Optimization
    • Past projects
      • Car-following
      • Computations of quantum eigenstates via deep neural networks
      • Control theory
      • Coxeter groups and extreme monomial ideals
      • Deep Neural Networks
      • Edge ideals
      • Equilibria of a time-inconsistent Markov decision processes
      • Food chains (2020)
      • Food chains (2021)
      • Frobenius problem
      • Geodesics
      • Happy Numbers
      • Gradient descent
      • Infinitesimal Symmetries
      • Kemeny's Constant
      • Machine learning
      • Matching
      • Maximal independent sets in grid-like graphs
      • Metric Dimension
      • Packing
      • Planar Turan number of {C4, C5}
      • Quantum groups
      • Random Set Zero Forcing
      • Rearrangements of infinite series
      • Semidiscrete FEM
      • Shape of a Drum
      • Turbulent Flows
      • Vaccination
      • Volume subsets
      • What is the fastest route down a hill?
      • Zero forcing
  • Applications
  • More
    • Home
    • Projects
      • Extraction of Electricity from Water – Modelling and Optimization
      • Monochromatic partitionings of edge-colored graphs
      • Rainbow trees
      • Random Points of Shapes in Space
      • Trail Trap on Cubic Hamiltonian Graphs
      • Unlocking the Secrets of Shape Optimization
      • Past projects
        • Car-following
        • Computations of quantum eigenstates via deep neural networks
        • Control theory
        • Coxeter groups and extreme monomial ideals
        • Deep Neural Networks
        • Edge ideals
        • Equilibria of a time-inconsistent Markov decision processes
        • Food chains (2020)
        • Food chains (2021)
        • Frobenius problem
        • Geodesics
        • Happy Numbers
        • Gradient descent
        • Infinitesimal Symmetries
        • Kemeny's Constant
        • Machine learning
        • Matching
        • Maximal independent sets in grid-like graphs
        • Metric Dimension
        • Packing
        • Planar Turan number of {C4, C5}
        • Quantum groups
        • Random Set Zero Forcing
        • Rearrangements of infinite series
        • Semidiscrete FEM
        • Shape of a Drum
        • Turbulent Flows
        • Vaccination
        • Volume subsets
        • What is the fastest route down a hill?
        • Zero forcing
    • Applications

Spring 2025 (Current)

  • Extraction of Electricity from Water – Modelling and Optimization

  • Monochromatic partitionings of edge-colored graphs

  • Rainbow trees

  • Random Points of Shapes in Space

  • Trail Trap on Cubic Hamiltonian Graphs

  • Unlocking the Secrets of Shape Optimization

Past projects

  • (2024) Computations of quantum eigenstates via deep neural networks

  • (2024) Coxeter groups and extreme monomial ideals

  • (2024) Equilibria of a time-inconsistent Markov decision processes

  • (2024) Maximal independent sets in grid-like graphs

  • (2024) Planar Turan number of {C4, C5}

  • (2024) Rearrangements of infinite series

  • (2024) What is the fastest route down a hill?

  • (2023) Deep Neural Networks

  • (2023) Infinitesimal Symmetries

  • (2023) Random Set Zero Forcing

  • (2023) Can You Hear the Shape of a Drum? 

  • (2022) Development of a novel car-following model using fractional differential equation

  • (2022) Edge ideals of graphs in exterior algebras

  • (2022) From groups to quantum groups and beyond

  • (2022) Semidiscrete finite element method (FEM) approximation for the null controllability of a certain coupled PDE system

  • (2022) Distinct volume subsets

  • (2021) Application of sub-Riemannian geometry in optimal control theory

  • (2021) Finding the country- and age-specific optimal vaccination strategy

  • (2021) Matching theory and groups

  • (2021) Packing and covering cliques in graphs

  • (2021) Machine learning neural networks method solving partial differential equations

  • (2021) Dynamics of food chains with refuge and finite time extinction

  • (2020) Refuge effects in food chains

  • (2020) The Frobenius problem for triples

  • (2020) Geodesics and optimization problems

  • (2020) Intro to optimization in deep learning: Gradient Descent

  • (2020) Zero forcing and its variants

  • (2019) Metric dimension and robotic navigation on graphs

  • (2019) Kemeny's constant and random walks on graphs

  • (2019) Spatial distributions of inertial particles advected by rough turbulent flows

  • (2019) Happy numbers: behavior under function iteration

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