Dr Nivedita Viswanathan

Profile

I am a Lecturer in Mathematics with the School of Physical and Chemical Sciences, working with the Queen Mary School Hainan team.

I am a passionate teacher in the field of Mathematics and strongly believe that Mathematics is for all. I am driven to make mathematics more accessible to all students and I am always eager to talk to people about their experiences and suggestions on how best to achieve this. Please feel free to contact me if such a discussion interests you!

Originally from Chennai, India, I completed my PhD in Algebraic Geometry in 2021 at the University of Edinburgh on 'Fano Varieties: Positvity, K-stability and more' under the supervision of Prof. Ivan Cheltsov. I was then a Postdoctoral Research Associate until 2024 at Loughborough University, University of Nottingham and Brunel University of London. Before this, I completed my Bachelors in Mathematics from University of Madras, in 2016 and my Masters in Pure Mathematics from University of Nottingham, in 2017.

Research & Travel Grants:

• 'Research in Group' grants SLMath (MSRI): Summer Research in Mathematics.
• Collaborate@ICERM.
• LMS Travel Grant for 'VIsit to the UK' : Travel Grant to host collaborators.
• Romberg Grant : 7th Heidelberg Laureate Forum.

Teaching

Linear Programming and Games , QHM5701
Bayesian Statistics, QHM6703

Research

Research Interests:

Research in Education: Topics that I am particularly interested in, are:

• Effects of cultural and linguistic differences between teachers and students, on learning.
• Challenges that are faced by educators in making mathematics accessible to students from all diverse foundational
  backgrounds.
• Effective methods to integrate feedback into student learning.

Research in Mathematics: My mathematical research interests lie in Algebraic Geometry, particularly in the properties of Fano
varieties and birational geometry. Topics I work on include:

• Numerical criterions that establish the existence of Kaehler-Einstein metrics on Fanos.
• Extending the positivity criterion of Fanos to establish more geometrical properties: notion of Higher Fano manifolds.

Keen on collaborating with researchers in both domains above.

Publications

On Calabi Conjecture for Smooth Fano threefolds, joint with Carolina Araujo, Ana-Maria Castravet, Ivan Cheltsov, Anne-Sophie
Kaloghiros, Jesus-Martinez Garcia, Constantin Shramov, Hendrik Suess, LMS Lecture Note Series. (Book)

The Minimal Bundle Projective dimension and Toric 2-Fano Manifolds, joint with Carolina Araujo, Roya Beheshti, Ana-Maria
Castravet, Kelly Jabbusch, Svetlana Makarova, Enrica Mazzon, Transactions of AMS.

On K-stability of P^3 blown up along a (2,3) complete intersection, joint with Tiago Duarte Guerreiro, Luca Giovenzana, Journal
of the London Mathematical Society.

On Singular Hypersurfaces of Index 3, joint with In-Kyun Kim, Joonyeong Won, Proceedings of the Moscow-Pohang-Shanghai
Conference, Springer.

K-Stability of hypersurfaces of Index 2 in Weighted Projective Space, joint with In-Kyun Kim, Joonyeong Won, International
Journal of Mathematics.