
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.
Teaching
 MA611: Stochastic Processes
 MA608: Martingale Theory
 MA605: Operations Research
 MA602: Differential Equations
 MA503: Introduction to Probability Theory
 MA504: Differential Equations
 MA200: Differential Equations
 IC152: Linear Algebra–II
 IC105: Probability and Statistics
Administrative Responsibilities
 Convener, DPGC, Sept 2020 –
 Chairperson, Residence Allotment Committee, Jan 2024 –
 Faculty Incharge, Guest House and Transport, Aug 2022 – Jan 2024
 Faculty Incharge, Student Mentorship Program, Jan 2020 – May 2021
Awards and Honours
 Award of NBHM Postdoctoral Fellowship, 2018.
 Award for "Excellence in Thesis Work" at the 56th Convocation of IIT Bombay, 2018.
 Qualified joint CSIRUGC 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
 Dhillon, M. and Kataria, K. K. (2024). On martingale characterizations of generalized counting process and its timechanged variants. J. Math. Anal. Appl. 504(2), 128749.
 Vishwakarma, P. and Kataria, K. K. (2024). On integrals of birthdeath processes at random time. Statist. Probab. Lett. 214, 110204.
 Vishwakarma, P. and Kataria, K. K. (2024). On the generalized birth–death process and its linear versions. J. Theoret. Probab. https://doi.org/10.1007/s1095902401355z.
 Kataria, K. K. and Khandakar, M. (2024). Fractional Skellam process of order k. J. Theoret. Probab. 37(2), 1333–1356.
 Khandakar, M. and Kataria, K. K. (2024). On a timechanged variant of the generalized counting process. J. Appl. Probab. 61(2), 716738.
 Kataria, K. K. and Khandakar, M. (2022). Generalized fractional counting process. J. Theoret. Probab. 35(4), 27842805.
 Kataria, K. K. and Khandakar, M. (2022). Skellam and timechanged variants of the generalized fractional counting process. Fract. Calc. Appl. Anal. 25(5), 18731907.
 Kataria, K. K. and Khandakar, M. (2022). Extended eigenvalueeigenvector method. Statist. Probab. Lett. 183, 109361.
 Kataria, K. K., Vellaisamy, P. and Kumar, V. (2022). A probabilistic interpretation of the Bell polynomials. Stoch. Anal. Appl. 40(4), 610–622.
 Kataria, K. K. and Khandakar, M. (2022). Timechanged spacetime fractional Poisson process. Stoch. Anal. Appl. 40(2), 246–267.
 Kataria, K. K. and Khandakar, M. (2021). Mixed fractional risk process. J. Math. Anal. Appl. 504(1), 125379.
 Kataria, K. K. and Khandakar, M. (2021). Convoluted fractional Poisson process. ALEA, Lat. Am. J. Probab. Math. Stat. 18(2), 1241–1265.
 Kataria, K. K. and Khandakar, M. (2021). On the longrange dependence of mixed fractional Poisson process. J. Theoret. Probab. 34(3), 1607–1622.
 Ghosh S., Kataria, K. K. and Vellaisamy, P. (2021). On transmuted generalized linear exponential distribution. Comm. Statist. Theory Methods. 50(9), 1978–2000.
 Kataria, K. K. and Vellaisamy, P. (2020). State dependent versions of the spacetime fractional Poisson process. Fract. Calc. Appl. Anal. 23(5), 1483–1505.
 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 MittagLeffler 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 Ifunction 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 spacetime 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 KWright function and MarichevSaigoMaeda fractional operators. J. Anal. 23, 75–87.
 Kataria, K. K. and Vellaisamy, P. (2015). Some fractional calculus results associated with the Ifunction. Matematiche (Catania) 70(2), 173–190.
Published/Accepted Expository Articles
 Kataria, K. K. and Mistri R. K. (2021). Generalized binomial theorem via Laplace transform technique. Math. Gaz. 105(564), 516–520.
 Kataria, K. K. (2017). The binomial theorem procured from the solution of an ODE. Math. Mag. 90(5), 375–377.
 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, Fractional Calculus and Fractional Differential Equations, 17–39, Trends in Mathematics, Springer, Singapore.
R&D Projects
 Project titled "On thinning and superposition of counting processes with multiple arrivals and their applications." Funding Agency (Scheme) /Research Grant: SERB (MATRICS)/ Rs. 660000.00
Invited Talks/Conference/Summer Schools Participation
 Invited Distinguished Speaker for "Global Summit on Earth Science and Climate Change'' held in Paris, France during September 15–16, 2022.
 Invited colloquium talk on "On fractional counting processes" at Indian Institute of Science, Bangalore, January 2022.
 Invited talk on "Subordinated stochastic processes and their applications", International Conference on Mathematical Techniques in Application of Science & Technology (ICMTAST21) held at Dr. C.V. Raman University, Bilaspur, India during December 22–23, 2021.
 Participated in the conference on "Advances in Stochastic Analysis for Handling Risks in Finance and Insurance" held in hybrid mode at Centre International de Rencontres Mathèmatiques, Marseille, France during September 13–17, 2021.
 Participated in the 5th workshop on "Probability and Evolution" held in hybrid mode at Centre International de Rencontres Mathèmatiques, Marseille, France during June 28–July 02, 2021.
 Invited talk on "Fractional Poisson models and their one dimensional distributions" in IISA 2019 Conference on Innovations in Data and Statistical Sciences (INDSTATS) held at Indian Institute of Technology Bombay, Mumbai, India during December 26–30, 2019.
 Participated in the conference on "PDE/Probability Interactions: Particle Systems, Hyperbolic Conservation Laws" held at Centre International de Rencontres Mathèmatiques, Marseille, France during October 14–18, 2019.
 Invited talk on "State dependent fractional Poisson processes" at Indian Institute of Technology Delhi, September 2018.
 Invited colloquium talk on "State dependent space time fractional point processes" at University of Hyderabad, July 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
 Reviewed articles for Statistics & Probability Letters, Dependence Modeling, Mathematical Reviews, Mathematical Magazine, The Mathematics Student, Applied Mathematics ENotes, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences.