About Me
Hi! I am a final year PhD student in the Applied Math and Scientific Computation (AMSC) program. I am currently working with Prof. Ramani Duraiswami in the CS department at the University of Maryland. My interests are in numerical analysis, scientific computing and machine learning for partial differential equations (PDEs).
I can be reached at mkrishn9[at]umd[dot]edu.
Education
PhD in Applied Math, 2021-
University of Maryland College Park
Dual BS-MS degree in Math, 2016-2021
Indian Institute of Science Education and Research (IISER) Thiruvananthapuram
Publications
(2026).
GAIA: Geometry Adaptive Integral AutoEncoder Networks for Operator Learning.
arXiv preprint arXiv:2607.01128 (in review).
(2026).
Generalization Analysis and Improved Shape Representation with Neural Signed Distance Functions.
International Conference on Learning Representations (ICLR) 2026 Workshop on AI&PDE. Spotlight Presentation (Oral).
(2026).
ViscoReg: Neural Signed Distance Functions via Viscosity Solutions.
Transactions on Machine Learning Research (TMLR).
(2025).
Error Analysis for Learning Time-Stepping Algorithms for PDEs.
arXiv preprint arXiv:2509.04256 (in review).
(2025).
3D Gaussian Splatting with Normal Information for Mesh Extraction and Improved Rendering.
IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2025: Workshop on Generative Data Augmentation for Real-World Signal Processing Applications.
(2022).
A unified asymptotic preserving and well-balanced scheme for the Euler system with multiscale relaxation.
Computers and Fluids.
Experience
PhD Research Intern (Returning)
Research Assistant
I worked as a Research Assistant with Prof. Ramani Duraiswami in the CS department.
PhD Research Intern
I worked as a Research Intern in the Audio Division of The Advanced Technology Group at Dolby Laboratories.
Teaching Assistant
I worked as a TA for MATH120 (Elementary Calculus), MATH141 (Calculus II), MATH401 (Applications of Linear Algebra), MATH416 (Applied Harmonic Analysis), AMSC420 (Mathematical Modeling), and AMSC661 (Scientific Computing II). My TA reviews can be found here.
Fellowships & Awards
- Wylie Dissertation Fellowship, 2026. Awarded by the Graduate School at UMD.
- Mark E. Lachtman Award, 2026. Awarded by the Department of Mathematics at UMD.
- Outstanding Research Assistant Award, 2026. Awarded by the Graduate School at UMD.
- NeuroPAC Fellowship, 2025. Awarded by NeuroPAC and NSF for accelerating research on Neuromorphic Perception.
- Hauptmann Fellowship, 2024. Awarded by the Department of Mathematics at UMD.
- Seymour Goldberg Spotlight Talks on Graduate Research Award, 2024. Awarded by the Department of Mathematics at UMD.
- Janine Tucker and Ira Schwartz Endowed Graduate Award in Mathematics, 2023. Awarded by the Department of Mathematics at UMD.
- Dean’s Fellowship, 2021–2023. Awarded by the UMD Graduate School.
- ANU Future Research Talent Award, 2020 (canceled due to the COVID-19 pandemic). Awarded by the Australian National University.
- DAAD-WISE Fellowship, 2019. Awarded by the German Academic Exchange Service (DAAD) for Working Internships in Science and Engineering.
- Indian Academy of Sciences Summer Research Fellowship, May 2018. Awarded by the Indian Academy of Sciences.
- INSPIRE Fellowship, 2016–2021. Awarded by the Department of Science and Technology, Govt. of India.
Teaching Experience
Graduate Teaching Assistant, Department of Mathematics, University of Maryland College Park:
- MATH120, Elementary Calculus
- MATH141, Calculus II
- MATH401, Applications of Linear Algebra
- MATH416, Applied Harmonic Analysis
- AMSC420, Mathematical Modeling
- AMSC661, Scientific Computing II
My TA reviews can be found here.