- Profile
- Publications
- Teaching
- Current Research
Positions Held
- Assistant Professor, Madras school of Economics, Since July 2023.
- Postdoctoral Fellow, International Centre for Theoretical Sciences, Bangalore - Sep 2020 - July 2023
- Postdoctoral Fellow, Tata Institute of Fundamental Research, Mumbai - Sep 2018 - July 2020.
- Postdoctoral fellow, The Institute of Mathematical Sciences, Chennai - - Dec 2017 - Aug 2018.
Educational details
- PhD in Mathematics - Indian Institute of Technology Madras, Chennai - Jan 2013 - Nov 2017.
- M.Sc. Mathematics, Indian Institute of Technology Madras, Chennai - 2012.
- B.Sc. Mathematics, Madras University, Chennai, 2010.
Publications
- Ulrich line bundles on double planes, A. J. Parameswaran, Poornapushkala Narayanan, Journal of Algebra, 583, 187-208, 2021.
- Semistability of Lazarsfeld-Mukai bundles via parabolic structures, Poornapushkala Narayanan, Communications in Algebra, 47 (12), 4910-4927, 2019.
- Lazarsfeld-Mukai Reflexive sheaves and their stability, Poornapushkala Narayanan, Communications in Algebra 46 (4), 1698-1708, 2018.
- On the semistability of certain Lazarsfeld-Mukai bundles on abelian surfaces, Poornapushkala Narayanan, Annali dell' Università di Ferrara, 64 (1), 145-164, 2018.
- Ulrich bundles on double covers of projective spaces, N. Mohan Kumar, A. J. Parameswaran, Poornapushkala Narayanan, arXiv:2201.08703 [math.AG], 2023.
- Mathematical Methods in Economics 1 - 1st year BA Economics
- Mathematical Methods in Economics 2 - 1st year BA Economics
- Mathematical Methods in Economics - 1st year MA Economics
- Optimization - 1st year PGDM
- Linear Algebra - 3rd year BA Economics.
I work in the area of algebraic geometry, more specifically, I study vector bundles on complex algebraic varieties.
