Welcome to my homepage! I work as an assistant professor at the Indian Institute of Science Education and Research (IISER) Mohali, India.

Research Interest: Holomorphic Dynamics,  Complex Geometric Analysis, Potential Theory.

Education:

1. Ph.D, 2016, Indian Institute of Science, Bangalore, India.

    Thesis Advisor: Kaushal Verma.

2. M.Sc.,  2010, Indian Institute of Technology Kanpur, India.

3. B.Sc. (Mathematics(Hons.)), 2008, Jadavpur University, Kolkata, India.

Employment:

1. Assistant Professor, Department of Mathematics, IISER Mohali, Punjab (10/05/2022-till date).

2. Assistant Professor, Department of Mathematics, IISER Berhampur, Odisha (08/12/20--09/05/2022).

3.  NBHM Post-doctoral fellow, Department of Mathematics, TIFR Centre for Applicable Mathematics, Bangalore (01/08/19--07/12/20).

4. SERB National Post-doctoral fellow, Department of Mathematics, IISER Pune (15/05/17--14/05/19).

5. Institute Post-doctoral fellow, Department of Mathematics,IISER Pune (08/12/16--14/05/17).

6. Research Associate, Department of Mathematics, Indian Institute of Science, Bangalore (01/08/15-07/12/16).

Publications and preprints

Published/ Accepted

1. 1.  Relation between Henon maps with biholomorphic escaping sets,  Mathematische Annalen, https://doi.org/10.1007/s00208-023-02630-w

   2. (With K. Verma and S. Bera)   On the automorphism group of certain Short C2's, International Mathematics Research Notices (IMRN), rnac235, https://doi.org/10.1093/imrn/rnac235

   3. (With J. E. Fornaess)   Notes on Short C^k's, J. Geom. Anal. 32 (2022), no. 4, Paper No. 133, 22 pp.

   4. (With S. Bera)   Rigidity of Julia sets in higher dimensions,  Comput. Methods Funct. Theory 22 (2022), no. 1, 55–93.

   5.  Further remarks on rigidity of Julia sets of Henon maps,  Journal of Mathematical Analysis and Applications, 484 (2020), no 2, 123658, 15 pp.

   6. Fatou-Julia dichotomy of matrix-valued maps, Journal of Mathematical Analysis and Applications 473 (2019), no 2, 918-933.

   7. (With S. Bera and K. Verma)  A rigidity  property of Henon maps,  Eur. J. Math. 6 (2020), no. 2, 508–532.

   8. (With K. Verma)   Ergodic properties of families of Henon maps,  Annales Polonici Mathematici, 121 (2018), no. 1, 45-71.

   9.  (With S. Bera and K. Verma)   Examples of non-autonomous basins of attraction, Illinois Journal of Math, 61 (2017), no. 3-4, 531-567.

   10. (With S. Bera)   Dynamics of semigroups of entire maps in C^k, Complex Anal. Synerg. 2(2016), no. 1, Paper No. 2, 22 pp.

   11.  (With K. Verma)   Dynamical properties of families of holomorphic mappings, Conformal Geometry and Dynamics 19 (2015), 323-350. 

Preprints

1. (With K. Ramachandran, S. Ravisankar)   Conformal Rigidity of Polar Set Complements, https://arxiv.org/pdf/2201.05898.pdf.

Teaching:

1. August-December, 2018: MTH 311(Real Analysis), IISER Pune

2. August-December, 2020: MTH 407 (Complex Analysis I), IISER Berhampur

3.  January-April, 2021: MTH 504 (Complex Analysis II), IISER Berhampur

4. August-December, 2021: MTH 201 (Linear Algebra) & MTH 407 (Complex  Analysis), IISER Berhampur

5. January-April, 2022: MTH 202 (Multi-variable calculus), IISER Berhampur

6. August-December, 2022: MTH 414 (Advanced Complex Analysis), IISER Mohali

7. January-April, 2023: MTH 605 (Topics in Analysis), IISER Mohali

8. August-December, 2023: MTH 414 (Advanced Complex Analysis), IISER Mohali