Dr. C G Karthick Babu
Designation : Assistant Professor
Broad Area of Expertise : Mathematics
Email : karthick{at}iitgoa.ac.in
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Educational Qualifications
- Ph.D in Mathematics: The Institute of Mathematical Sciences, Chennai, 2021
- Master of Science in Mathematics: Madurai Kamaraj University, Madurai, 2014
Areas of Research
Analytic Number Theory, Exponential sums and its application, Uniform Distribution Modulo One and Diophantine approximation.
Courses Taught
Professional Appointments
- Assistant Professor: School of Mathematics & Computer Science, IIT Goa, Goa, India, October 2025 - Present
- Post Doctoral Fellow: Department of Mathematics, IIT-Bombay, Mumbai, India, December 2024- September 2025
- Visiting Scientist: Stat-Math Unit, ISI-Kolkata, Kolkata, India, September 2024- November 2024
- Research Associate: ISI-Bangalore, Bangalore, India, September 2022- August 2024
- Post Doctoral Fellow: IISER-Berhampur, Odisha, India, September 2021- August 2022
Recent Publications
- C. G. Karthick Babu, E. Malavika and G. K. Viswanadham, Poissonian pair correlation of linear generalized monomials over primes, Journal of Number Theory, 279, 270-293, (2026).
- C. G. Karthick Babu, Ranjan Bera, Jyothsnaa Sivaraman and B. Sury, On Gerth's heuristics for a family of quadratic extensions of certain Galois number fields, Ramanujan Journal, 68, 1 (2025).
- C. G. Karthick Babu, Prem Prakash Pandey and Mahesh Kumar Ram, On the explicit Galois group of $\mathbb{Q}(a_{1}^{\frac{1}{m}}, a_{2}^{\frac{1}{m}}, \dots, a_{n}^{\frac{1}{m}}, \zeta_{m})$ over $\mathbb{Q}$, Publ. Math. Debrecen. 106, 3-4, 285-299, (2025).
- C. G. Karthick Babu, Ranjan Bera and B. Sury, Linear Congruences and a Conjecture of Bibak, Czech. Math. J. 74 (149), 1185–1206, (2024).
- C. G. Karthick Babu, E. Malavika, and G. K. Viswanadham, Fractional parts of generalized polynomials at prime arguments, J. Math. Anal. Appl. 539 (2024), no.1, Paper No. 128503, 16 pp.
- C. G. Karthick Babu, Anirban Mukhopadhyay, Sehra Sahu, On the explicit Galois group of $\mathbb{Q}(\sqrt{a_{1}}, \sqrt{a_{2}}, \dots, \sqrt{a_{n}}, \zeta_{d})$ over $\mathbb{Q}$, Research in Number Theory, 10, 37 (2024).
- C. G. Karthick Babu, Anirban Mukhopadhyay, and G. K. Viswanadham, Discrepancy estimates for some linear generalized monomials at prime arguments. Ramanujan Journal, 63, 431-449 (2024).
- C. G. Karthick Babu, Sehra Sahu, Non-primitive roots with a prescribed residue pattern. Proc Math Sci 133, 9 (2023).
- C. G. Karthick Babu, Anirban Mukhopadhyay, and A. Sankaranarayanan, Residue pattern for infinitely many primes. Int. J. Number Theory 19, No. 3, 511-529 (2023).
- C. G. Karthick Babu, Anirban Mukhopadhyay, Quadratic residue pattern and the Galois group of $\mathbb{Q}(\sqrt{a_{1}}, \sqrt{a_{2}}, \dots, \sqrt{a_{n}})$ over $\mathbb{Q}$. Proc. Amer. Math. Soc. 150 (10): 4277-4285, (2022).
- C. G. Karthick Babu, Primes in Beatty sequence. Proc Math Sci 131, 14 (2021).
Recognition and Awards
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