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Prachi Sahjwani   AFHEA

Ms Prachi Sahjwani

(she/her)

AFHEA

Teams and roles for Prachi Sahjwani

Overview

I am currently a Postdoctoral Research Associate in Mathematics at Cardiff University working with Dr. John Harvey. My research lies at the intersection of geometric analysis and topological data analysis, where I study how geometric structures and flows can reveal stability and meaning in both classical inequalities and modern data problems.

I recently submitted my PhD thesis at Cardiff University, supervised by Prof. Dr. Julian Scheuer, Prof. Dr. Federica Dragoni, and Prof. Dr. Nicolas Dirr. During my PhD, I focused on the stability of geometric inequalities using geometric flows. In my postdoctoral work, I will continue this line of research while also exploring new directions in geometric inference and data-driven topology.

Before this, I completed my Master’s degree at the Indian Institute of Science Education and Research (IISER) Bhopal, where I wrote my thesis under the supervision Dr. Atreyee Bhattacharya. I also hold a Bachelor’s degree in Mathematics from Indraprastha College for Women, University of Delhi.

Publication

2023

Articles

Research

  • Geometric Analysis
  • Differential Geometry
  • Partial Differential Equations
  • Topological Data Analysis

 

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

  • [July 2024] £15000 grant by London Mathematical Society to organise research school Bridging PDE and Geometric Flows at Cardiff University. 

  • [March 2023] Represented Council of Mathematical Sciences at the UK Parliament. 

  • [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- March 2025] EPSRC PhD Grant: Funds to support PhD, which covers tuition 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 administered by Indian Institute of Science Education and Research (IISER) Bhopal and is funded by MHRD.

  • [Apr 2018] Joint Admission Test for Masters-  This is a competitive exam in India to secure admission for postgradute degree in some of the best universities in India. All India Rank 49.

Speaking engagements

  • 04/09/2025: Stability of geometric inequalities in various spaces in the Geometry Seminar at the Durham University, United Kingdom.

  • 03/06/2025: Stability of Minkowski-type Inequalities in warped product spaces in the Welsh Mathematical Colloquium at the Gregynog Hall, United Kingdom.

  • 10/10/2024: Stability of geometric inequalities in various spaces in the Cardiff GAPT Seminar at Cardiff University, United Kingdom.

  • 09/10/2024: Stability of geometric inequalities in various spaces in the Leeds Geometry Seminar at University of Leeds, United Kingdom.

  • 03/07/2024: Stability of geometric inequalities in various spaces in the Swansea Summer School in Nonlinear PDEs at Swansea University, United Kingdom.

  • 07/02/2024: Stability of geometric inequalities in various spaces in the Junior Analysis Seminar at Imperial College London, United Kingdom.

  • 31/01/2024: Stability of geometric inequalities in various spaces in the PGR Talk at Cardiff University, United Kingdom.

  • 01/11/2023: Stability of geometric inequalities in various spaces in the Oberseminar Geometrische Analysis at Goethe University Frankfurt, Germany.

  • 10/10/2023: Stability of Alexandrov-Fenchel Inequalities in the Hyperbolic Space in the Marvellous Event on Geometric Analysis at Będlewo, Poland.

  • 05/09/2023: Stability of Alexandrov-Fenchel Inequalities in the Hyperbolic Space (Poster) in the Singularities and Patterns in Evolution Equations at University of Bath, 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.

  • 12/07/2022: Stability of Alexandrov-Fenchel Inequalities in the Hyperbolic Space in the Oberseminar Differentialgeometrie at the University of Freiburg, Germany.

  • 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.

Contact Details

Email SahjwaniP@cardiff.ac.uk

Campuses Abacws, Room 4.36, Senghennydd Road, Cathays, Cardiff, CF24 4AG

Specialisms

  • Geometric analysis
  • Differential Geometry
  • Mathematical Analysis
  • Topological Data Analysis