![Prachi Sahjwani](https://profiles-cardiff.imgix.net/attachments/4217?w=200&h=200&auto=format&crop=faces&fit=crop&q=90")
Overview
I am currently a postgraduate researcher at the School of Mathematics, Cardiff University. I received my master's degree from the Indian Institute of Science Education and Research (IISER) Bhopal. My research interests are in Geometric Analysis, where I study the stability of various geometric inequalities. My supervisors are Prof. Dr. Julian Scheuer, Prof. Dr. Federica Dragoni, and Prof. Dr. Nicolas Dirr.
I'm excited to announce our upcoming Research School in Cardiff focused on Geometric Flows and their connections to Partial Differential Equations (PDEs). Taking place from July 22nd to 26th, this school aims to make the technical PDE aspects of geometric flows accessible through applications to curvature flows and geometry.
The registration deadline is April 7th, 2024. Visit the website: Bridging PDE and Geometric Flows or email me for more details.
Publication
2023
- Sahjwani, P. and Scheuer, J. 2023. Stability of the quermassintegral inequalities in hyperbolic space. Journal of Geometric Analysis 34, article number: 13. (10.1007/s12220-023-01453-0)
Articles
- Sahjwani, P. and Scheuer, J. 2023. Stability of the quermassintegral inequalities in hyperbolic space. Journal of Geometric Analysis 34, article number: 13. (10.1007/s12220-023-01453-0)
Research
- Geometric Analysis
- Differential Geometry
- Partial Differential Equations
Teaching
Courses where I have provided tutorials and feedback sessions:
- Foundations of Mathematics ll (Cardiff University)- 2024
- Foundations of Mathematics ll (Cardiff University)- 2023
- Foundations of Mathematics l (Cardiff University)- 2022
- Foundations of Mathematics II (Cardiff University)- 2022
- Complex Variable (IISER Bhopal)- 2021
- Multivariable Calculus (IISER Bhopal)- 2020
Biography
Honours and awards
- [April 2022] Cecil King Travel Scholarship: Received £6,000 to travel abroad and work with Prof. Dr. Guofang Wang, University of Freiburg, Germany for three months. This award is administred by London Mathematical Society and funded by Cecil King Memorial Foundation to support early career researchers for a research period aboard.
- [October 2021- Present] EPSRC PhD Grant: Funds to support PhD, which covers tution fees and stipend. This is administred by Cardiff University and funded by EPSRC.
- [July 2018-June 2021] MHRD Fellowship- Funds to support Master's degree in India. This is administred by Indian Institute of Science Education and Research (IISER) Bhopal and is funded by MHRD.
Speaking engagements
- 05/07/2023: Stability of Alexandrov-Fenchel Inequalities in the Hyperbolic Space (Poster) in Variational methods for nonlinear PDEs at Cardiff University, United Kingdom.
- 04/07/2023: Stability of Alexandrov-Fenchel Inequalities in the Hyperbolic Space (Poster) in the Summer School: Geometric Analysis and PDEs at Checiny, Poland
- 23/05/2023: Stability of Alexandrov-Fenchel Inequalities in the Hyperbolic Space in the Welsh Mathematical Colloquium at the Gregynog Hall, United Kingdom.
- 06/03/2023: Stability of geometric inequalities in various spaces in the Cardiff Analysis Seminar at Cardiff University, United Kingdom.
- 27/06/2022: Stability of Alexandrov-Fenchel Inequalities in the Hyperbolic Space in the Young Women in Geometric Analysis at the University of Bonn, Germany.
- 12/07/2022: Stability of Alexandrov-Fenchel Inequalities in the Hyperbolic Space in the Oberseminar Differentialgeometrie at the University of Freiburg, Germany.
Contact Details
Research themes
Specialisms
- Geometric analysis
- Differential Geometry
- Mathematical Analysis
