Profile & Research Interest

I am a third-year Ph.D. student in Mathematics at the University of Kansas, advised by Prof. Geng Chen. I completed my integrated BS–MS at IISER Thiruvananthapuram, India, with a major in Mathematics and a minor in Physics. My research focuses on hyperbolic PDEs, particularly L^2-stability and contraction for conservation laws, including the damped Euler and Kadomtsev–Petviashvili (KP) equations. Previously, I worked on elliptic PDEs, studying existence and regularity for (p,q)-Laplacian operators.

Education

University of Kansas

PhD in Mathematics (In Progress)

  • Working in Hyperbolic PDEs under the guidance of Prof. Geng Chen.

IISER Thiruvananthapuram

BS-MS Dual Degree (2018 - 2023)

  • Major in Mathematics and Minor in Physics.
  • Master's Thesis: Existence of Positive Solution for Some Nonhomogenous PDE (Guide: Dr. Dhanya Rajendran).
  • Minor Thesis: Thermal Expansion on Tetrakis Diaquadicopper (Guide: Dr. Deepshikha Jaiswal Nagar).

Publications

  • Rajendran, D., Pramanik, S., & Harish, R. (2023). On a class of infinite semipositone problems for (p,q) Laplace operator. Asymptotic Analysis, 136, 1-17.
    • https://doi.org/10.3233/ASY-231880
  • Chen, G., Ravichandar, H., & Shen, Y. (2026). The L2 contraction of solutions with large perturbation in multiple space dimensions from the oscillatory dispersive planar shock. arXiv preprint.
    • https://arxiv.org/abs/2607.27118

Selected Conferences & Seminars

  • Workshop for Research and Workforce Development in Fluid Mechanics II: University of Nebraska–Lincoln | April 25-26, 2026.
  • AMS 2025 Spring Central Sectional Meeting: University of Kansas, Lawrence | March 29-30, 2025.
  • A Contemporary Course on Elliptic PDEs 2024: TIFR-CAM, Bangalore | May 20 - June 1, 2024.
  • NCM AIS on Elliptic and Parabolic PDEs 2023: Indian Institute of Science, Bangalore | December 4-23, 2023.
  • Seminar in PDEs 2023 (SPDE 2023): Indian Institute of Technology Madras, Chennai | May 19, 2023.
  • BRICS Mathematics Conference 2021: IISER Thiruvananthapuram | December 7-10, 2021.
  • NCM Workshop on Numerical Methods for PDEs: IISER Thiruvananthapuram | September 19-24, 2022.

Teaching Experience

  • MATH 127 (Calculus III): Undergraduates, Spring 2026, Summer 2025 & Spring 2025, University of Kansas.
  • MATH 125 (Calculus I): Undergraduates, Fall 2025, University of Kansas.
  • MATH 002 (Intermediate Math): Undergraduates, Fall 2024, University of Kansas.
  • MTL 101 (Linear Algebra & ODEs): Undergraduates, Spring 2024, IIT Delhi.

Achievements

  • Best Undergraduate Researcher in Mathematics (2023): IISER Thiruvananthapuram
  • CSIR–UGC JRF (September 2023): All India Rank 168
  • CSIR–UGC NET (September 2022): All India Rank 106
  • GATE (Mathematics): All India Rank 288 (2023) and 767 (2022)
  • Sports Citation Award: Awarded for active participation in sports at IISER Thiruvananthapuram