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##  20 results 

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### In Preparation

N. Athanasiou and P. Mondal. “[Einstein-Vlasov System in Large Data Regime](/publications/einstein-vlasov-system-large-data-regime)”



 

 

N. Athanasiou and P. Mondal. “[Einstein-Vlasov System in Large Data Regime](/publications/einstein-vlasov-system-large-data-regime)”



 

 

 

- [ descriptionPublisher's Version](https://www.youtube.com/watch?v=gtvSMhYhD3w&t=3415s)
 
- [ descriptionPublisher's Version](https://www.youtube.com/watch?v=gtvSMhYhD3w&t=3415s)
 
 

F. Vafa, P. Mondal, and L. Mahadevan. “[Topological Dynamics and Morphogenesis](/publications/topological-dynamics-and-morphogenesis)”



 

 

F. Vafa, P. Mondal, and L. Mahadevan. “[Topological Dynamics and Morphogenesis](/publications/topological-dynamics-and-morphogenesis)”



 

 

 

 

 



### Submitted

P. Mondal and S.-T. Yau. “[A Spinorial Proof of the Positivity of Quasi-Local Mass](/publications/spinorial-proof-positivity-quasi-local-mass)”



 

 

P. Mondal and S.-T. Yau. “[A Spinorial Proof of the Positivity of Quasi-Local Mass](/publications/spinorial-proof-positivity-quasi-local-mass)”



 

 

 

- [ picture\_as\_pdfspin.pdf](/sites/g/files/omnuum10621/files/puskar/files/spin.pdf)
 
- [ picture\_as\_pdfspin.pdf](/sites/g/files/omnuum10621/files/puskar/files/spin.pdf)
 
 

P. Mondal. “[On a Rigidity Result in Positive Scalar Curvature Geometry](/publications/rigidity-result-positive-scalar-curvature-geometry)”



 

 

P. Mondal. “[On a Rigidity Result in Positive Scalar Curvature Geometry](/publications/rigidity-result-positive-scalar-curvature-geometry)”



 

 

 

- add\_circle do\_not\_disturb\_on Abstract
- [ picture\_as\_pdfrigid.pdf](/sites/g/files/omnuum10621/files/rigid_0.pdf)
 
 [link](https://scholar.harvard.edu/sites/scholar.harvard.edu/files/rigidity.pdf)

 

 

- [ picture\_as\_pdfrigid.pdf](/sites/g/files/omnuum10621/files/rigid_0.pdf)
 
 

P. Mondal and S.-T. Yau. “[Large Data Regime of Einstein-Yang-Mills Equations in Double Null Framework](/publications/einstein-yang-mills-equations-double-null-framework)”



 

 

P. Mondal and S.-T. Yau. “[Large Data Regime of Einstein-Yang-Mills Equations in Double Null Framework](/publications/einstein-yang-mills-equations-double-null-framework)”



 

 

 

 

P. Mondal. “[A Large Data Semi-Global Existence and Convergence Result in General Relativity](/publications/large-data-semi-global-existence-result-general-relativity)”



 

 

P. Mondal. “[A Large Data Semi-Global Existence and Convergence Result in General Relativity](/publications/large-data-semi-global-existence-result-general-relativity)”



 

 

 

- [ picture\_as\_pdfeinstein\_lambda\_large.pdf](/sites/g/files/omnuum10621/files/einstein_lambda_large.pdf)
 
- [ picture\_as\_pdfeinstein\_lambda\_large.pdf](/sites/g/files/omnuum10621/files/einstein_lambda_large.pdf)
 
 

 



### 2025

N. Athanasiu, P. Mondal, and S.-T. Yau. 2025. “[Formation of Trapped Surfaces in Einstein-Yang-Mills System](/publications/formation-trapped-surfaces-einstein-yang-mills-system)”. Journal de Mathematiques Pures et Appliquees 



 

 

N. Athanasiu, P. Mondal, and S.-T. Yau. 2025. “[Formation of Trapped Surfaces in Einstein-Yang-Mills System](/publications/formation-trapped-surfaces-einstein-yang-mills-system)”. Journal de Mathematiques Pures et Appliquees 



 

 

 

- add\_circle do\_not\_disturb\_on Abstract
- [ picture\_as\_pdf1-s2.0-s0021782425000054-...](/sites/g/files/omnuum10621/files/1-s2.0-s0021782425000054-main.pdf)
 
 <https://arxiv.org/pdf/2302.06915.pdf>

 

 

- [ picture\_as\_pdf1-s2.0-s0021782425000054-...](/sites/g/files/omnuum10621/files/1-s2.0-s0021782425000054-main.pdf)
 
 

 



### 2024

P. Mondal. 2024. “[The Nonlinear Stability of N+1 Dimensional FLRW Spacetimes](/publications/nonlinear-stability-n1-dimensional-flrw-spacetimes)”. Journal of Hyperbolic Differential Equations



 

 

P. Mondal. 2024. “[The Nonlinear Stability of N+1 Dimensional FLRW Spacetimes](/publications/nonlinear-stability-n1-dimensional-flrw-spacetimes)”. Journal of Hyperbolic Differential Equations



 

 

 

- add\_circle do\_not\_disturb\_on Abstract
 
 <https://arxiv.org/pdf/2203.04785.pdf>

 

 

 

P. Mondal and S.-T. Yau. 2024. “[Global Exterior Stability of the Minkowski Space: Coupled Einstein-Yang-Mills Perturbations](/publications/global-exterior-stability-minkowski-space-coupled-einstein-yang-mills)”. J. Math. Phys.



 

 

P. Mondal and S.-T. Yau. 2024. “[Global Exterior Stability of the Minkowski Space: Coupled Einstein-Yang-Mills Perturbations](/publications/global-exterior-stability-minkowski-space-coupled-einstein-yang-mills)”. J. Math. Phys.



 

 

 

- add\_circle do\_not\_disturb\_on Abstract
 
 <https://arxiv.org/abs/2211.03167>

 

 

 

 



### 2023

P. Mondal. 2023. “[Local Well Posedness of Einsten-Yang-Mills Equations in Constant Mean Extrinsic Curvature Genelarized Coulomb Gauge](/publications/local-well-posedness-einsten-yang-mills-equations-constant-mean-extrinsic)”. Journal of Mathematical Physics



 

 

P. Mondal. 2023. “[Local Well Posedness of Einsten-Yang-Mills Equations in Constant Mean Extrinsic Curvature Genelarized Coulomb Gauge](/publications/local-well-posedness-einsten-yang-mills-equations-constant-mean-extrinsic)”. Journal of Mathematical Physics



 

 

 

 

P. Mondal. 2023. “[Big-Bang Limit of 2+1 Gravity and Thurston Boundary of Teichmuller Space](/publications/big-bang-limit-21-gravity-and-thurston-boundary-teichmuller-space)”. Journal of Mathematical Physics



 

 

P. Mondal. 2023. “[Big-Bang Limit of 2+1 Gravity and Thurston Boundary of Teichmuller Space](/publications/big-bang-limit-21-gravity-and-thurston-boundary-teichmuller-space)”. Journal of Mathematical Physics



 

 

 

 

P. Mondal. 2023. “[A Geometric Approach to Yang-Mills Mass Gap](/publications/geometric-approach-yang-mills-mass-gap)”. Journal of High Energy Physics



 

 

P. Mondal. 2023. “[A Geometric Approach to Yang-Mills Mass Gap](/publications/geometric-approach-yang-mills-mass-gap)”. Journal of High Energy Physics



 

 

 

- add\_circle do\_not\_disturb\_on Abstract
 
 <https://arxiv.org/pdf/2301.06996.pdf>

 

 

 

 



 

 

 

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