Education

• B.  Tech. : Mathematics – I (Calculus and Ordinary Differential Equations),  Mathematics – II (Complex Analysis and Linear Algebra), Transform Calculus,  Probability, Statistics & Stochastic Processes
• M. Sc. : Complex Analysis, Linear Algebra, Discrete Mathematics, Ordinary Differential Equations
• Ph. D.: Fractals,  Advanced Complex Analysis,  Complex Dynamics
• ITEP: Linear Algebra, Pedagogy in Mathematics

• Tarun Kumar Chakra, 2018 ( Thesis: Iteration of meromorphic functions with an omitted value)
• Subhasis Ghora , 2022 ( Thesis: Dynamics of certain meromorphic maps with infinitely many singular values), Currently Assistant Professor at IIITDM Kanchipuram
• Soumen Pal, 2023 ( Thesis: Symmetry and Dynamics of Chebyshev’s Method for Polynomials and Newton’s Method for Rationals), Currently Postdoc at IIT Madras
• Pooja Phogat,  Sukanta Das and Moumita Manna (continuing)

• Project title and duration: Topological investigation of the escaping set of a transcendental semigroup and wandering domains in quasiregular dynamics, 2024-2027, Funded by SERB, DST Govt of India (Ongoing)
• Project title and duration: DIVERSASIA – Embracing diversity in Asia through the adoption of Inclusive Open Practices, 2021-2024, Funded by Erasmus plus, Euros 97046 (Completed)
• Project title and duration:Independence polynomials of graphs and associated fractals, 2019-22. Mathematical Research Impact Centric Support (MTR/2018/000498 dated 12.03.2019), Funded by SERB, DST, Amount: Rupees 6.6 Lakhs. (Completed).
• Project title and duration:Omitted values in complex dynamics, 2014-17. Supported by the Department of Science & Technology, Govt. of India. Amount: Rupees 13.44 Lakhs (Completed).
•  Project title and duration: Julia sets of transcendental meromorphic functions, 21/07/2010 – 30/06/2012. Supported by  IIT Bhubaneswar. Amount: Rupees 5 Lakhs(Completed).
• Project title and duration: Topological aspects of transcendental  dynamics, 2009-2010. Supported by the China Postdoctoral Science Foundation (Grant no. 20090450420). Amount: RMB 30,000.(Completed)

• Subhasis Ghora and  Tarakanta Nayak,  Iteration of some topologically hyperbolic meromorphic maps  with infinitely many singular values,  Complex Anal. Oper. Theory 19, 20 (2025). https://doi.org/10.1007/s11785-024-01647-6
• Tarakanta Nayak and Soumen Pal, Symmetry and dynamics of Chebyshev’s method,  Mediterranean Journal of Mathematics  22, 12 (2025). https://doi.org/10.1007/s00009-024-02771-5
• Tarakanta Nayak and Soumen Pal, Julia sets of rational maps with rotational symmetries,  Complex Anal. Oper. Theory  19, 11 (2024). https://doi.org/10.1007/s11785-024-01636-9
• Sukanta Das and Tarakanta Nayak, Sum of the exponential and a polynomial: singular values and Baker wandering domains,  Complex Variables and Elliptic Equations (2024), 1–17. https://doi.org/10.1080/17476933.2024.2429100
• Tarakanta Nayak and Soumen Pal, The Julia sets of Chebyshev’s method with small degrees, Nonlinear Dynamics (2022)
• Tarakanta Nayak and Soumen Pal, Quadratic and cubic Newton maps of rational functions, Proceedings-Mathematical Sciences(2022), https://doi.org/10.1007/s12044-022-00688-1
• Subhasis Ghora and Tarakanta Nayak, On Fatou sets containing Baker omitted value, Accepted, Journal of Dynamics and Differential Equations (2021)
• Subhasis Ghora and Tarakanta Nayak, Rotation domains and Stable Baker omitted value, with Subhasis Ghora, Qualitative Theory of Dynamical Systems(2021), https://doi.org/10.1007/s12346-021-00527-0
• Subhasis Ghora and Tarakanta Nayak, On periods of Herman rings and relevant poles, Indian J Pure Appl Math (2021). https://doi.org/10.1007/s13226-021-00112-w.
• Sasmita Barik, Tarakanta Nayak and Ankit Pradhan, Graphs whose independent fractals are line segments, Bulletin of the Malaysian Mathematical Sciences Society, 44(1), 55-78 (2020) https://doi.org/10.1007/s40840-020-00936-5
• Tarun Kumar Chakra and Tarakanta Nayak, Iteration of the translated tangent, Bulletin of the Malaysian Mathematical Sciences Society, 42 (2019), no. 5, 1993-2008.
• Tarun Kumar Chakra, Gorachand Chakraborty and Tarakanta Nayak, Herman rings with small periods and omitted values, Acta Mathematica Scientia, Series B, 38 (2018), no. 6, 1951-1965
• Tarun Kumar Chakra, Tarakanta Nayak and Kedarnath Senapati, Iteration of certain exponential-like meromorphic functions, Proceedings of Indian Academy of Sciences (Mathematical Sciences), 128 (2018), no. 5, Art. 64, 18 pp.
• Tarun Kumar Chakra, Gorachand Chakraborty and Tarakanta Nayak, Baker omitted value, Complex Variables and Elliptic Functions, 61 (2016), no. 10, 1353 – 1361.
• Tarakanta Nayak, Herman rings of meromorphic maps with an omitted value, Proceedings of the American Mathematical Society, 144 (2016), no. 2, 587 – 597.
• Tarakanta Nayak, On Fatou components and omitted values, Geometry, groups and dynamics, 349 – 358, Contemporary Mathematics, 639, American Mathematical Society, Providence, RI, 2015.
• Tarakanta Nayak and M. Guru Prem Prasad, Julia sets of Joukowski-exponential maps,  Complex Analysis and Operator Theory, 8 (2014), no.5, 1061–1076.
• Tarakanta Nayak and Jian-Hua Zheng, Omitted values and dynamics of meromorphic functions, Journal of London Mathematical Society, (2) 83 (2011), no.1, 121–136.
• Tarakanta Nayak and M. Guru Prem Prasad, Iteration of certain meromorphic functions with unbounded singular values, Ergodic Theory and Dynamical Systems, 30 (2010), no.3, 877–891.
• Tarakanta Nayak and Zheng Jian Hua, Omitted values and dynamics of meromorphic functions, Abstracts, International Congress of Mathematicians, 19–27 August, 2010, 313
• M. Guru Prem Prasad and Tarakanta Nayak, Dynamics of $\lambda \tanh (e^z)$, Discrete and Continuous Dynamical Systems Series A, 19 (2007), no.1, 121–138.
• M. Guru Prem Prasad and Tarakanta Nayak, Dynamics of certain class of critically bounded entire transcendental functions, Journal of Mathematical Analysis and Applications, 329 (2007), no.2, 1446–1459.
• Tarakanta Nayak and M. Guru Prem Prasad, Bifurcation and chaotic burst in the dynamics of $\lambda e^{b z + c e^z}$, Journal of Combinatorics, Information and System Sciences, 28/29 (2003/2004), 211–226.
• Tarakanta Nayak, Polynomials through pictures, Resonance (September 2021)
• Rajen Kumar and Tarakanta Nayak, The Real Non-attractive Fixed Point Conjecture and Beyond, Mathematics Newsletter, 31 (Sept 2020), no. 2, 64-71.
• Exploding Julia sets in the dynamics of f ?(z) = ?J1(iz)/iz, Proceedings of The Third National Conference on Non-linear Systems and Dynamics, (NCNSD-2006), 171-174, Allied Publishers Pvt. Ltd.

• Baker omitted value, Invited talk in 34 th Annual Conference of the Ramanujan Mathematical Society, 1-3 August 2019, Pondicherry University, Punducherry, India
• Independence fractal of a graph, Invited talk in 83rd Annual Conference of Indian Mathematical Society, 12-15 Dec 2017, Sri Venkateswar University, Tirupati, Andhra Pradesh, India
• Completely invariant domains, Complex Analysis: Geometric and Dynamical Aspects, Non 14-19, 2016, Centre of Excellence in Mathematical Sciences, Almora, India
• Herman rings, Frontiers in Complex Dynamics, Dec 19 — 20, 2012, University of Barcelona, Spain

National Conference

1. Complex Dynamics of some simple maps, National Workshop on Topological Dynamics Dec 10 — 12, 2015, National Institute of Technology, Karnataka, Surathkal, India

• Professor, IIT Bhubaneswar,  May 2025 onwards
• Associate Professor, IIT Bhubaneswar,  February 2020 — May 2025
• Assistant Professor,  IIT Bhubaneswar, May 2010 — February 2020
• Postdoc, Tsinghua University, China, September 2008 — May 2010 (Report: Omitted values and conformal measures in complex dynamics)
• Assistant Professor,  National Institute of Technology Rourkela, December 2007 — August 2008
• Postdoc,  Harish-Chandra Research Institute, Allahabad, 5 February 2007 — 1 December 2007

Professional Activities