Publications:


12. On strong bi-Lipschitz triviality of deformations, with D. Chakraborty, preprint (2026).

11. Classification of Lipschitz Unimodal function germs, with N. Nguyen and M. A. S. Ruas, preprint (2025). 

10. Invariants and classification of simple germs with respect to bi-Lipschitz A-equivalence, with N. Nguyen, Journal of Singularities, vol. 25 (2022), 348 - 360.

9.  Deformation retracts to intersections of Whitney stratifications, with D. Trotman, Journal of Singularities, vol. 22 (2020), 315-321. 

8.  Transversality of smooth definable maps in o-minimal structures, with N. Nguyen, Math. Proc. Camb. Phil. Soc., 168 (2020), no. 3, 519-533. 

7.  Classification of Lipschitz simple function germs, with N. Nguyen and M. A. S. Ruas, Proc. London Math. Soc., 121 (2020), no. 1, 51-82.

6.  Bi-Lipschitz geometry of contact orbits in the boundary of the nice dimensions, with M. A. S. Ruas,  Asian J. Math., 23 (2019), no. 6, 953 - 968.

5.  Cohomology of flat currents on definable pseudomanifolds, J. Math. Anal. Appl., 468 (2018), no. 2, 1098-1107.

4.  A geometric proof of existence of Whitney stratifications of definable sets, with N. Nguyen and D. Trotman, Illinois J. Math., 58 (2014), no.2, 381-389.

3.  Detecting Thom faults in stratified mappings, with D. Trotman, Kodai. Math. J., 37 (2014), no. 2, 341-354.

2.  Stratified transversality of holomorphic maps, Int. J. Math., 24 (2013), no. 13, 1350106. 

1. Transversality theorems for the weak topology, Proc. Amer. Math. Soc., 141 (2013), no. 6, 2181-2192.

0.  On Whitney (a) and Thom regular real and complex analytic stratifications, Ph.D. thesis, (2013).


Research Grants:



Conferences:


2.     17 International Workshop on Real and Complex Singularities, 25 - 29 July 2022, ICMC, Sao Carlos, Brazil. (Link) (Slides of Talk)

1.     Singularity Theory and Regular Stratifications, conference on the retirement of David Trotman, 29 Sep - 01 Oct 2021, Marseille, France.  (Link) (Slides of Talk)


Write-ups (not intended for publication and to be updated from time to time):


2. Bi-Lipschitz triviality. (Link) 

1. Existence of maps transverse to stratifications and foliations. (Link)

0.  Notes on Time Series Analysis. (Link) (last updated on 04/05/22)