Research

Publications

1. S. T. Dinh and N. Nguyen. Lipschitz continuity of Lipschitz-Killing curvature densities at infinity.  Selecta Mathematica (new series) (2025) . [pdf]

2. Nhan Nguyen. Local quasi-isometry and tangent cones of definable germs. Advances in Geometry (2024). [pdf]

3. Nhan Nguyen. Link criterion for Lipschitz normal embeddings among definable sets. Mathematische Nachrichten (2023)

4. Nhan Nguyen. Regular projections in o-minimal structures. Annals of Pure and Applied Logic (2023).

5. N. Nguyen and S. Trivedi. Invariants and classification of simple germs with respect to bi-Lipschitz A-equivalence. Journal of Singularities (2022).

6. Nhan Nguyen. Bi-Lipschitz contact invariance of rank. The Dalat University Journal of Science (2022) [pdf]

7. N. Nguyen, M. Ruas, S. Trivedi. Classification of Lipschitz simple function germs.  Proceedings of the London Mathematical Society, (2020) [pdf]

8. Nhan Nguyen, Saurabh Trivedi. Transversality of smooth definable maps in o-minimal structures. Math. Proc. Cambridge. Phil. Soc, (2020). [pdf]

9. O. Le-Gal, K. Kurdyka, N. Nguyen. Tangent cones and $C^1$ regularity of definable sets. J. Math. Anal. Appl, (2018).

10. Nhan Nguyen, Guillaume Valette. Whitney stratifications and the continuity of local Lipschitz-Killing curvatures.  Annales de l'Institut Fourier, (2018). 

11. Nhan Nguyen, Guillaume Valette. Lipschitz stratifications in O-minimal structures.  Ann. Sci. Ecole Norm. Sup, (2016). [pdf]

12. Nhan Nguyen, Saurabh Trivedi, David Trotman. A geometric proof of the existence of definable Whitney stratifications. Illinois J. Math, (2014).

Preprints and in preparations

• On the density at infinity of definable maps (with Dinh Si Tiep) (2023) [pdf]

• An bi-Lipschitz invariant for analytic function germs (2024)[pdf]

• Classification of Lipschitz unimodal function germs, (with S. Trivedi and M. Ruas), in preparation, 2024.

• Planar extensions in o-minimal structures (with Dinh Si Tiep), in preparation, 2022.