Ph.D. Thesis Supervised:

• Pritam Kumar, (on going NIT Rourkela, since July 2019)

• Parvathi S Nair, (since January 2023)

• Rudranarayan Padhy (since July 2023)

• Darsana N (since July 2023)

PG Project Supervised:

• Pradum Gupta (M210626MA), Elliptic Functions and its Applications, (May 2023)

• Dinesh Prasanth R (M220609MA), On Cyclotomic Polynomials (May 2024)

• Pragya Sahrawat (M220606MA), Automatic sequences and curves over finite field (May 2024)

• Sarita (M231028MA)

• Awarded Open Arms travel grant to attend ICM 2018 by the Organizing Committee.

• Awarded Prof. A.K. Agarwal prize by the Indian Mathematical Society.

• Awarded HRI Post doctoral Fellowship, by Harish-Chandra Research Institute Allahabad.

• Awarded NBHM Post doctoral Fellowship, by National Board for Higher Mathematics (Did not avail).

• Qualified Junior Research Fellowship (JRF) and National Eligibility Test for Lectureship (NET) in Mathematics conducted by CSIR.

• Qualified Graduate Aptitude Test in Engineering (GATE) in Mathematics.

• National Merit Scholarship, Govt. of Odisha.

I am currently working as an Assistant Professor (Grade-I) in the Department of Mathematics, National Institute of Technology Calicut, India. My broad area of research is Number Theory and my research interest includes:

• Diophantine equations

• S-units in recurrence sequences

• Special values of zeta functions

• Arithmetic of dynamical systems

• The Institute of Mathematical Sciences Chennai, India (June 14, 2022 - June 24, 2022)

• Harish-Chandra Research Institute, Allahabad, India (Dec 26, 2017 - Jan 05, 2018)

• University of Sopron, Hungary (June 03-- June 11, 2017)

• University of Debrecen, Hungary (May 08- June 02, 2017)

• Indian Statistical Institute Delhi, India (Dec 19--30, 2016)

• National Institute of Technology Rourkela, India (July 25--August 04, 2016)

• Indian Statistical Institute Delhi, India (May 30--June 04, 2016)

• Gave an invited talk in Departmental Seminar at NIT Calicut in January 2023 on Perfect Powers and -units in Recurrence Sequences.

• Gave an invited talk in Institute Seminar at KSoM in June 2022 on -units in Recurrence Sequences.

• Gave an invited talk in Lectures on Transcedence on commutative algebraic groups at NISER Bhubaneswar in December 2019 on intersection of orbits in dynamical systems.

• Gave an invited talk in Workshop on Number Theory at NISER Bhubaneswar in December 2018 on Sums of $S$-units in recurrence sequences.

• Gave a talk in the International Congress of Mathematicians, Rio de Janeiro, Brazil in August 2018, on Lucas non-Weiferich primes in arithmetic progression.

• Gave a series of lectures in the Teacher's Enrichment Workshop(TEW) at IMA Bhubaneswar in June 2018 on Complex Analysis.

• Gave a series of lectures in the Interactive Mathematics Training Camp for Undergraduate Students at IMA Bhubaneswar in May 2018 on Linear Algebra.

• Gave two lectures in the National Workshop on LaTex at IMA Bhubaneswar in March 2018.

• Gave an invited talk in the 83rd Annual Conference of the Indian mathematical society at SV University Tirupati in Dec 2017 on Lucas-Weiferich primes and $abc$ conjecture.

• Gave a talk at University of Debrecen, Hungary in May 2017 on "Lucas-Weiferich primes and $abc$ conjecture'.

• Gave a talk in the Number Theory Meet at Harish-Chandra Research Institute Allahabad in Sep. 2016 on Balancing non-Wieferich primes in arithmetic progression.

• Gave a talk in the Number Theory Seminar at Harish-Chandra Research Institute Allahabad in March 2016 on On $ell$-th order gap balancing numbers.

• Gave a talk at Veer Surendra Sai University of Technology, Burla in Jan 2016 on Perfect powers in balancing and Lucas-balancing numbers.

• Gave a talk at National Institute of Technology Rourkela in Oct. 2015 on Balancing non-Wieferich primes in arithmetic progression.

2022-2023 :

• MA2003D: Mathematics-IV (Winter)
• MA6324: Abstract Algebra (Winter)
• MA2001D: Mathematics-III (Monsoon)

• MA8002: Advanced Topics in Mathematics-2 (Monsoon)

Area of Research 

Number Theory 

Published/ Accepted

2024       P.K. Bhoi, S.S. Rout and G. K. Panda 

              On perfect powers that are sum of two balancing numbers, 

              Period. Math. Hungar., 88 (2024), 93-101

              https://doi.org/10.1007/s10998-023-00540-7

2023       P.K. Bhoi, S.S. Rout and G. K. Panda 

              Sums of $S$-units in sum of terms of recurrence sequences, 

              Ramanujan J. 62 (2023), 457-468.

              https://doi.org/10.1007/s11139-023-00756-8

              N.K. Meher and  S.S. Rout  

              Cullen Numbers in Sums of Terms of Recurrence Sequence, 

              Results Math 78 Article number: 102 (2023). 

              https://doi.org/10.1007/s00025-023-01880-z

2022       S. S. Rout, 

               The orbit intersection problem in positive characteristic, 

               Acta Arith. 206(3) (2022), 277-290.

               DOI: 10.4064/aa220917-17-11

             N. K. Meher and S. S. Rout, 

             S-parts of sums of terms of linear recurrence sequences,

            Acta Math. Hunga.  168(2) (2022), 553-571.

             https://doi.org/10.1007/s10474-022-01283-6 

2021   N. K. Meher and S. S. Rout, 

           Multiple Lucas Dirichlet series associated to additive and Dirichlet characters,

           Mediterr. J. Math. 18(6), 262 (2021). 

           https://doi.org/10.1007/s00009-021-01892-5, IF: 1.4 

           S. S. Rout and A. Juyal, 

           The Mordell-Weil bases for the elliptic curve y² = x³ − m²x + m²,

           Czechoslovak Math. J. 71(146) (2021) 1133-1147. 

           https://doi.org/10.21136/CMJ.2021.0238-20, IF: 0.4 

2020   S. S. Rout, 

          The dynamical Mordell - Lang problem for intersection of two orbits,

          J. Number Theory 207(2020), 122-137. MR4017941 

          https://doi.org/10.1016/j.jnt.2019.07.003, IF : 0.72 

          P. Das, P. K. Dey, B. Maji and S. S. Rout, 

          Perfect powers in alternating sum of consecutive cubes, 

          Glas. Math. Ser. III 55(1) (2020), 37-53. 

         IF. 0.6 

         P. Das, P. K. Dey, and S. S. Rout, 

         Sums of fifth powers being a perfect power: A special case, 

         J. Ramanujan Math. Soc. 35(1) (2020), 23-33. 

         EID: 2-s2.0-85089003768, IF : 0.59

2019   E. Mazumdar and S. S. Rout, 

           Prime powers in sums of terms of binary recurrence sequences, 

           Monatsh Math. 189(4) (2019), 695-714. MR3982094 

           https://doi.org/10.1007/s00605-019-01282-w, IF: 0.8 

          S. S. Rout, 

          Lucas non-Weiferich primes in arithmetic progressions, 

          Funct. Approx. Comment. Math. 60(2019), 167-175. MR3964258 

          https://doi.org/10.7169/facm/1709, IF: 0.46 

          A. Bérczes, L. Hajdu, I. Pink, and S. S. Rout, 

          Sums of S-units in recurrence sequences, 

          J. Number Theory 196(2019), 353-363. MR3906482 

          https://doi.org/10.1016/j.jnt.2018.10.009, IF: 0.72 

2018   N. K. Meher and S. S. Rout, 

           Analytic continuation of multiple Lucas zeta functions, 

           J. Math. Anal. Appl. 468(2018), 1115-1130. MR3852570 

            https://doi.org/10.1016/j.jmaa.2018.08.063, IF: 1.58 

           S. S. Rout and R. Thangadurai, 

          ℓ-th order gap balancing numbers, 

           Integers 18 (2018), Paper No. A56. MR3813840 

           S. S. Rout and N. K. Meher, 

           Analytic continuation of multiple Fibonacci zeta functions, 

           Proc. Japan Acad. Ser. A Math. Sci. 94(6) (2018), 64–69. 

            https://doi.org/10.3792/pjaa.94.64, IF: 0.4 

2017    N. K. Meher and S. S. Rout, 

            Linear combinations of prime powers in sums of terms of binary recurrence sequences,

            Lith. Math. J. 57 (4) (2017), 1–15. MR3736198 

            https://doi.org/10.1007/s10986-017-9374-z, IF: 0.57 

            P. K. Dey and S. S. Rout, 

            Diophantine equations concerning balancing and Lucas balancing numbers,

            Arch. Math. (Basel) 108(1) (2017), 29–43. MR3599539 

            https://doi.org/10.1007/s00013-016-0994-z, IF: 0.6 

2016   S. S. Rout, 

           Balancing non-Wieferich primes in arithmetic progression and abc conjecture,

           Proc. Japan Acad. Ser. A Math. Sci. 92(9) (2016), 112–116. MR3567596 

           https://doi.org/10.3792/pjaa.92.112, IF: 0.4 

2015   S. S. Rout, G. K. Panda and R. K. Davala 

           Stability of balancing sequence modulo p, 

           Unif. Distrib. Theory 10(2) (2015), 75–89. MR3434192 

           S. S. Rout and G. K. Panda 

           k-Gap balancing numbers, 

            Period. Math. Hungar. 70(1) (2015), 109–121. MR3315286 

            https://doi.org/10.1007/s10998-014-0067-7, IF: 0.9

2014   S. S. Rout and G. K. Panda 

           Balancing Dirichlet series and related L-functions,

           Indian J. Pure Appl. Math 45(6) (2014), 943–952. MR3298045

           https://doi.org/10.1007/s13226-014-0097-0, IF: 0.46 

           G. K. Panda and S. S. Rout 

           Periodicity of balancing numbers, 

          Acta. Math. Hungar.143(2) (2014), 274–286. MR3233532

           https://doi.org/10.1007/s10474-014-0427-z, IF: 0.65 

2013   G. K. Panda and S. S. Rout 

           Gap balancing numbers, 

           Fib. Quart. 51(3) (2013), 239–248. MR3093677 

           IF: 0.7

• Workshop on Arithmetic of Dynamical Systems (May 15-20, 2023) KSoM, Kozhikode, India.

• International Conference on Class Groups of Number Fields and Related Topics-2022 (November 21-24, 2022), KSoM, Kozhikode, India.

• 48th Orissa Mathematical Society Conference (April 10-11, 2021), IMA Bhubaneswar, Odisha, India.

• Lectures on Transcedence on commutative algebraic groups (Dec 09-15, 2019), NISER Bhubaneswar, Odisha, India.

• Workshop on Number Theory (Nov 30- Dec 06, 2018), NISER Bhubaneswar, Odisha, India.

• International Congress of Mathematicians (Aug 01-09, 2018), Rio de Janeiro, Brazil. 

• Number Theory: Arithmetic, Diophantine, and Transcendence (Dec 22-25, 2017), IIT Ropar, India.

• GIAN course on Transcendental numbers and special values of Dirichlet series ( Dec 16- 21, 2017) IIT Ropar, India.

• 83rd Annual Conference of The Indian Mathematical Society- An International meet (Dec 12-15, 2017), SV University, Tirupati, India.

• International Conference on Class Groups of Number Fields and Related Topics (Sep 04 - 07, 2017) HRI Allahabad, India.

• School and Workshop on Modular forms and Black holes (Jan 05- 14, 2017) NISER Bhubaneswar, Odisha, India.

• International Conference of The Indian Mathematical Consortium in cooperation with American Mathematical Society (Dec 14-17, 2016) Banaras Hindu University, Varanasi, India.

• Number Theory Meet (Sep 06-07, 2016) HRI Allahabad, India.

• Triveni Number Theory Meet (March 04-08, 2016 ) HRI Allahabad, India.

• AIS on Diophantine equations (June 16-July 04, 2014) Himachal Pradesh University, Shimla, India.

• CIMPA Research School in Fourier analysis of groups in Combinatorics (Nov 18-30, 2013) NEHU, Shillong, India.

• AIS on Analytic Number Theory (June 10- 29, 2013) KIIT University, Odisha, India.

• The annual conference of The Odisha Mathematical Society (December 29-30, 2012) Sambalpur University, Odisha, India.

• Conference in Number Theory (December 12-14, 2012) Jadavpur University, Kolkatta, India.

• The Pan Asian Number Theory Conference (July 23 -27, 2012) IISER Pune, India.

• Workshop on Bloch-Kato conjectures (July 17-21, 2012) IISER Pune, India.

• Winter School in Number Theory (December 20-24, 2011), IISER Kolkata, India.

• Symposium in Number Theory (May 31- June 03, 2011), Bhaskaracharya Prastishthana, Pune, India.

• Discussion meeting on Geometry and Analysis (Jan 20- Feb 02, 2010) HRI Allahabad, India.

• AFS -II (June 08- July 04, 2009) Bhaskaracharya Prastishthana, Pune, India.

• National workshop on Mathematical aspects of Computer Science (March 14-15, 2009), Sambalpur University, Odisha, India.

• 2023-2026: Science and Engineering Research Board, Core Research Grant.
• 2023-2025: National Board for Higher Mathematics.

1. Life Member of Indian Mathematical Society (L/2023/107).
2. Life Member of Odisha Mathematical Society (LMOMS/823/2022).
3. Life Member of Ramanujan Mathematical Society (1921).

• International Conference on Lie Algebra and Number Theory (ICLANT - 2024) June 10-14, 2024, (Organized with Dr. Saudamini Nayak and Dr. Chiranjit Ray) funded by NBHM, SERB, CDC-IMU, KSCSTE.

• Teacher’s Enrichment Workshop on Probability and Number Theory, Jan 29-Feb 03, 2024, (Organized with Dr. M. Subramani, IIITDM Kancheepuram) funded by NCM .

• Workshop on Number Theory & Some Applications, December 04-05, 2023, funded by SERB.

• Expert talk by Prof. Shanta Laishram, ISI Delhi "Binary Recurrence Sequences and its Arithmetic" on January 24, 2023.

• Expert talk by Prof. Kalyan Chakraborty Director, KSCSTE-Kerala School of Mathematics, "A couple of gems from Ramanujan's Garden" on December 22, 2022.

• Expert talk by Prof. Michel Waldschmidt, Emeritus Professor, Sorbonne Universit'e, Institut Math'ematique de Jussie, France "On Markoff equation x²+y²+z² = 3xyz" on November 23, 2022.