Curriculum Vitae

You can find the PDF version of my CV here and my resume here.

Education

• PhD Applied Mathematics (2024-current)
  • Department of Applied and Computational Mathematics and Statistics (ACMS), University of Notre Dame, Notre Dame, IN, US.
• MSc. Mathematics (2022-2024)
  • School of Mathematics, IISER Thiruvananthapuram, India
• BSc. Mathematics (2019-2022)
  • Department of Mathematics, M. P. C. Autonomous College, Odisha, India
• Higher Secondary (10+2) (2017-2019)
  • Vijayanjai HS Res. School, Odisha, India
• Secondary Examination (10th boards) (2016-2017)
  • Budhabalanga High School, Odisha, India

Research and Internship Projects

Deep Learning for Multiscale Models

An Asymptotic Preserving and Energy Stable Scheme for the Euler System with Congestion Constraint

Differential Equations

Selected Class Projects

Impact of hemodynamic parameters on rupture risk in abdominal aortic aneurysm: Emphasis on wall shear stress-derived indicators

Work Experience

• Graduate Research Assistant, University of Notre Dame, Notre Dame, IN (June 2025-current)

  • Project: Deep Learning for Multiscale Models
  • Advisor: Dr. Zhiliang Xu, Professor, ACMS Department

• Teaching Assistant, University of Notre Dame, Notre Dame, IN (Fall 2024-current)

• Master’s Research, IISER Thiruvananthapuram, Kerala, India (Jan-May 2024)

  • Project: An Asymptotic-Preserving and Energy-Stable Scheme for the Euler System
  • Advisor: Dr. K. R. Arun, Associate Professor, School of Mathematics

• Summer Research Intern, NISER Bhubaneswar – Odisha, India (June-July 2023)

  • Topic: Differential Equations
  • Guide: Dr. Anupam Pal Choudhury, Reader - F, Mathematical Sciences

• Online Education Support, Chegg India (Feb 2022-July 2023)

Scholastic Achievements and Fellowships

• Departmental Award, ACMS Department, University of Notre Dame, 2025
  • Awarded for the highest score in the Applied Mathematics qualifying exam; USD 500.
• NBHM Master’s Fellowship, National Board for Higher Mathematics (NBHM), 2022-24
  • Awarded through a national-level examination conducted by the Government of India to support master’s studies; INR 168,000
• Valedictorian in BSc Mathematics, M. P. C. Autonomous College, 2002​
  • Graduated top of class in the 2019–2022 cohort.

Skills

• Computational Methods
  • Deep Neural Networks, Physics-Informed Neural Networks, Computational Fluid Dynamics, Numerical Analysis, Finite Element Methods, Finite Volume Methods, Finite Difference Methods.
• Programming
  • Python (PyTorch, SimVascular, NGSolve, SciPy, Pandas), MATLAB, R.
• Tools & Platforms
  • Github, Linux, LATEX, Jupyter Notebooks.
• Languages: English, Hindi, and Odia

Publications

• K. Arun, A. Krishnamurthy, and H. Maharna. An asymptotic preserving and energy stable scheme for the Euler system with congestion constraint. Applied Mathematics and Computation, 495:129306, 2025.