Ajay Chandra

Preprints and Publications

1.  A variational approach for the 2D Abelian Yang-Mills-Higgs measure, with Nikolay Barashkov, Ilya Chevyrev, Andreas Koller, and Abdulwahab Mohamed

2. Free Bakry-Émery Calculus, with Maria Gordina and Martin Peev

3. Noncommutative Regularity Structures, with Martin Hairer and Martin Peev

4. Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime, with Ilya Chevyrev - Stochastic Partial Differential Equations: Analysis and Computations (2025)

5. Rough differential equations in the flow approach, with Léonard Ferdinand - Stochastic Processes and Applications (2025)

6. Rough geometric integration, with Harprit Singh - Proceedings of the London Mathematical Society (2025)

7. A priori bounds for 2-d generalised Parabolic Anderson Model, with Guilherme de Lima Feltes, and Hendrik Weber - Communications on Pure and Applied Mathematics (2026)

8. A flow approach to the generalized KPZ equation, with Léonard Ferdinand

9. A Stochastic Analysis Approach to Tensor Field Theories, with Léonard Ferdinand -  Annales de l’Institut Henri Poincaré - Probabilités et Statistiques (2025)

10. A Dynamical Yukawa_2 Model, with Martin Hairer and Martin Peev - Communications in Mathematical Physics (2025)

11. Gauge field marginal of an Abelian Higgs model, with Ilya Chevyrev -  Communications in Mathematical Physics (2024)

12. Stochastic Quantisation of Yang Mills in 3D, with Ilya Chevyrev, Martin Hairer, and Hao Shen -  Inventiones Mathematicae (2024)

13. A priori bounds for rough differential equations with a non-linear damping term, with Timothee Bonnefoi, Augustin Moinat, and Hendrik Weber - Journal of Differential Equations (2022)

14. Phase transitions for Φ^4_3, with Trishen Gunaratnam and Hendrik Weber - Communications in Mathematical Physics (2022)

15. Langevin dynamic for the 2D Yang-Mills measure, with Ilya Chevyrev, Martin Hairer, and Hao Shen - Publications Mathématiques de l'IHÉS (2022)

16. A priori bounds for the Φ^4 equation in the full sub-critical regime, with Augustin Moinat and Hendrik Weber - Archive for Rational Mechanics and Analysis (2023)

17. Local solution to the multi-layer KPZ equation, with Dirk Erhard and Hao Shen - Journal of Statistical Physics (2019)

18. The dynamical sine-Gordon model in the full subcritical regime, with Martin Hairer and Hao Shen

19. Renormalising SPDEs in regularity structures, with Yvain Bruned, Ilya Chevyrev, and Martin Hairer - Journal of the European Mathematical Society (2020)

20. An analytic BPHZ theorem for regularity structures, with Martin Hairer 

21. Moment bounds for SPDEs with non-Gaussian fields and application to the Wong-Zakai problem, with Hao Shen - Electronic Journal of Probability (2017)

22. Stochastic PDEs, regularity structures, and interacting particle systems, with Hendrik Weber - Ann. Fac. Sci. Toulouse (2017)

23. Rigorous quantum field theory functional integrals over the p-adics: anomalous dimensions, with Abdelmalek Abdesselam and Gianluca Guadagni

Current and former Ph.D students

Hengchang Cao (co-supervised with Benoit Dagallier) : 2023 -

Martin Peev (co-supervised with Martin Hairer): 2021 - 2025
First position after PhD: Postdoc at University of Oxford

Léonard Ferdinand (co-supervised with Vincent Rivasseau): 2022-2024
First position after PhD: Postdoc at Max Planck Institute - Leipzig

Trishen Gunaratnam (co-supervised with Hendrik Weber): 2017-2020
First position after PhD: Postdoc at University of Geneva
Current position: Tenure track assistant professor in mathematics, jointly at Tata Mumbai and ICTS Bangalore