Research

7. Shivang Jindal, Andrei Neguţ "The loop-nilpotent cohomological Hall algebra" (submitted) arXiv:2607.23544(2026)

6. Shivang Jindal, Andrei Neguţ "K- theoretic Hall algebras and Coulomb branches" (submitted) arXiv:2605.19487(2026)

5. Shivang Jindal, Andrei Neguţ "BPS Lie algebras, perverse filtrations and shuffle algebras" (Accepted in Int. Math. Res. Not. IMRN) arXiv:2604.00124(2026)

4. Shivang Jindal, Sarunas Kaubrys and Alexei Latyntsev "Critical CoHAs, vertex coalgebras and Deformed Drinfeld coproducts" (submitted) arXiv:2603.21707(2026)

3. Lucien Hennecart and Shivang Jindal "Degenerations of CoHAs of 2-Calabi-Yau categories" (submitted) arXiv:2602.18102(2026)

2. Shivang Jindal "CoHA of Cyclic Quivers and an Integral Form of Affine Yangians" (submitted) arXiv:2408.02618 (2024)

1. Arpita Nayek, S.K Pattanayak, Shivang Jindal,``Projective normality of torus quotients of flag varieties'' (Published in Journal of Pure and Applied Algebra, vol. 224, issue 10, October 2020

In preperation:

Shivang Jindal and Woonam Lim “Cohomological Hall algebra and Quot Scheme of Curves” (Draft available on request)
Ben Davison and Shivang Jindal "CoHA of resolved conifold".
Tommaso Maria Botta, Ben Davison, Shivang Jindal and Sebastian Schlegel Mejia "BPS without Perverse".

PhD thesis: "Quantum groups and cohomological Donaldson-Thomas theory" (2025, University of Edinburgh)

Paper [2] is based on this thesis. In addition, the thesis contains a rigorous proof of the existence of the affinized BPS Lie algebra, building on ideas of Davison–Hennecart–Kinjo-Schiffmann–Vasserot. Since this result is used extensively in [2], the thesis may be read as a useful companion.