Areas of Interest

• Probability Theory and Stochastic Processes.

Education

• PhD, Indian Institute of Technology Bombay, 2018.
• MSc, Indian Institute of Technology Kanpur, 2011.
• BSc (Hons.), St. Stephen's College, University of Delhi, 2009.

Professional Experiences

• Assistant Professor, Indian Institute of Technology Bhilai, Raipur, Dec 2018 -
• NBHM Postdoctoral Fellow, Indian Institute of Science, Bangalore, July 2018 - Dec 2018.
• Research Associate, Indian Institute of Technology Bombay, Mumbai, Dec 2017 - June 2018.

Awards and Honours

• Award of NBHM Postdoctoral Fellowship, 2018.
• Award for "Excellence in Thesis Work" for the year 2016-2018 by Indian Institute of Technology Bombay, 2018.
  (The award was conferred by Hon'ble Prime Minister of India at the 56th Convocation of the Institute)
• Qualified joint CSIR-UGC NET (JRF) three times consecutively in Mathematical Sciences, 2010-2011.
• Qualified GATE (Graduate Aptitude Test in Engineering) two times consecutively in Mathematics, 2010-2011.
• Qualified JAM (Joint Admission test to MSc) conducted by the IITs in Mathematics and Mathematical Statistics, 2009.
• Award of Anu Bedi and KPMG fellowships by St. Stephen's College, University of Delhi, 2008-2009.

Published/Accepted Research Articles

• Kataria, K. K. and Vellaisamy, P. (2019). On distributions of certain state dependent fractional point processes. J. Theoret. Probab. 32(3), 1554-1580.
• Kataria, K. K. and Vellaisamy, P. (2019). On the convolution of Mittag-Leffler distributions and its applications to fractional point processes. Stoch. Anal. Appl. 37(1), 115-122.
• Kataria, K. K. and Vellaisamy, P. (2018). On martingale characterizations for some generalized space fractional Poisson processes. Stoch. Anal. Appl. 36(4), 665-670.
• Vellaisamy, P. and Kataria, K. K. (2018). The I-function distribution and its extensions. Theory Probab. Appl. 63(2), 227-245.
• Kataria, K. K. and Vellaisamy, P. (2018). On densities of the product, quotient and power of independent subordinators. J. Math. Anal. Appl. 462(2), 1627-1643.
• Kataria, K. K. and Vellaisamy, P. (2017). Correlation between Adomian and partial exponential Bell polynomials. C. R. Math. Acad. Sci. Paris 355(9), 929-936.
• Kataria, K. K. and Vellaisamy, P. (2017). Saigo space-time fractional Poisson process via Adomian decomposition method. Statist. Probab. Lett. 129, 69-80.
• Kataria, K. K. and Vellaisamy, P. (2016). Simple parametrization methods for generating Adomian polynomials. Appl. Anal. Discrete Math. 10(1), 168-185.
• Kataria, K. K. and Vellaisamy, P. (2015). The generalized K-Wright function and Marichev-Saigo-Maeda fractional operators. J. Anal. 23, 75-87.
• Kataria, K. K. and Vellaisamy, P. (2015). Some fractional calculus results associated with the I-function. Matematiche (Catania) 70(2), 173-190.

Published Expository Articles

• Kataria, K. K. (2017). The binomial theorem procured from the solution of an ODE. Math. Mag. 90(5), 301-303.
• Kataria, K. K. (2017). Some probabilistic interpretations of the multinomial theorem. Math. Mag. 90(3), 221-224.
• Kataria, K. K. (2016). An alternate proof of the binomial theorem. Amer. Math. Monthly 123(9), 940.
• Kataria, K. K. (2016). A probabilistic proof of the multinomial theorem. Amer. Math. Monthly 123(1), 94-96.

Chapters in Books/Edited Proceedings

• Kataria, K. K. and Vellaisamy, P. (2019). Adomian Decomposition Method and Fractional Poisson Processes: A Survey, Edited by Varsha Daftardar-Gejji, Springer Proceedings.

Invited Talks/Conference/Summer Schools Participation

• Invited talk on "State dependent fractional Poisson processes" at Indian Institute of Technology Delhi, September 2018.
• Invited talk on "State dependent space time fractional point processes" at Indian Institute of Management Indore, June 2018.
• Contributed talk on "Some recent results on Adomian polynomials: an integral part of Adomian decomposition method" in National Conference on Fractional Calculus and Fractional Differential Equations held at Savitribai Phule Pune University, Pune, India during November 6-8, 2017.
• Participated in the Summer School on Spectral Properties of Large Random Objects held at Institut des Hautes Etudes Scientifique, Paris, France during July 17-28, 2017.
• Contributed talk on "Densities of stable and inverse stable subordinators" in Satellite Summer School to the 8th International Conference on Lèvy processes held at Universitè de Lille 1, Lille, France during July 18-22, 2016.

Review

• Reviewer for Mathematical Reviews, Mathematical Magazine.