Designation
Reader-F
Joining Date
Expiry of Tenure
Research Area
Number Theory
Education
- Ph.D., 2014, Harish-Chandra Research Institute, Allahabad
- M.phil., 2008, Annamalai University, Tamil nadu.
- M.Sc., 2006, Annamalai University, Tamil nadu.
- B. Sc., 2004, Poombuhar college (Bharathidasan University), Tamil nadu.
Professional Experiences:
- Reader-F (Since July 2020), NISER, Bhubaneswar, India.
- Assistant Professor (January 2017-June 2020), NISER, Bhubaneswar, India.
- Visiting Fellow (July 2016-January 2017), Chennai Mathematical Institute, Chennai, India.
- Postdoctoral Fellow (2014-2016), The Institute of Mathematical Sciences, Chennai, India
Research Interest
Transcendental number theory, Modular forms and Multiple zeta values
Awards
- NBHM Ph. D., Fellowship, 2010.
- CSIR-Junior Research Fellowship, 2008.
- GATE Fellowship, 2008.
Publications
- On the values of Weierstrass zeta and sigma functions. With an appendix by David Masser, to appear in Acta Arithmetica.
- (With Gorekh Prasad Sena) Lehmer's problem and splitting of rational primes in number fields, Acta Math. Hungar., 169 (2) (2023), 349–358
- (With Gorekh Prasad Sena) On the number of algebraic points on the graph of the Weierstrass sigma functions, to appear in Bulletin of the Australian Mathematical Society.
- Linear dependence of quasi-periods over the rationals, Comptes Rendus. Mathématique, Tome 359 (2021) no. 4, pp. 409-414.
- (With Nabin Meher and R. Thangadurai) On a theorem of Mahler, Proc. Amer. Math. Soc. 145 (2017), no. 11, 4607-4615.
- Order Structure and topological properties of the set of multiple zeta
values, Int. Math. Res. Not. IMRN. 5 (2016) 1541–1562. - (With Neeraj Kumar) Note on vanishing power sums of roots of unity,
Math. Student 84 (2015), no. 3–4, 69–73. - Fields of Mahler U -numbers and Schanuel’s Conjecture, J. Number
Theory 154 (2015), 82–100. - (With R. Thangadurai and M. Waldschmidt) Liouville numbers, Liouville
sets and Liouville fields, Proc. Amer. Math. Soc. 143 (2015), no. 8, 3215–3229. - (With R. Thangadurai and M. Waldschmidt) Liouville numbers and Schanuel’s conjecture, Arch. Math. (Basel) 102 (2014), no. 1, 59–70.
Preprints
- Algebraic independence of values of Weierstrass zeta and elliptic functions. With an appendix by Robert Tubbs.
- (With Gorekh Prasad Sena) Lehmer's Problem and Reciprocal Numbers.
Teaching
- M207: Number Theory (July--Dec, 2017)
- M602: Algebra-II (Jan--June, 2018)
- M207: Number Theory (July--Dec, 2018)
- M458: Algebraic Number Theory (Jan--June, 2019)
- M207: Number Theory (July--Dec, 2019)
- M402: Representations of Finite Groups (Jan--June, 2020)
- M101: Mathematics-I (Dec 2020--Mar 2021)
- M402: Representations of Finite Groups (Apr--July, 2021)
- M302: Rings and Modules (Aug -- Dec, 2021)
- M458: Algebraic Number Theory: (Jan-June, 2022)
- M602: Algebra II (Aug--Dec, 2022)
- M308 and MA709: Complex Analysis (Jan--May, 2023)
- M458 and MA857: Algebraic Number Theory (Teaching)
Responsibility
- Chairperson, PGCI, NISER (Dec 2018-Mar 2021)
- Convener, PGCS, SMS (September 2018-December 2020)
- Member, PGCS, SMS (December 2020-Nov 2022)
Project/Thesis Guidance
- Mr. Gorekh Prasad Sena (PhD Thesis, 2023)
- Mr. Rajesh Kumar Palei, Some Topics in Number Theory (M.Sc., Thesis, 2021)
- Mr. Rajesh Kumar Palei, On abc conjecture (M.Sc., Reading project, 2020)
- Ms. S. Archana, Transformation groups, (PhD Reading Course, July-Dec, 2019)
- Mr. Rajesh Kumar Palei, Prime number Theorem (M.Sc., Reading Project, July-Dec 2019)
- Mr. Abhinav Thakur, On Class Number of Number Fields and Mahler Measure (M.Sc., Thesis, 2019)
- Mr. Gorekh Prasad Sena, Elliptic functions (PhD Reading course, Jan-June 2018)
- Mr. Shekh Mohammed Zahid, IMA Bhubaneswar, Transcendental numbers (Summer project, May-July, 2017)
Academic Presentations
- Gelfond-Schneider theorem, KSOM, August 07--12, 2023.
- Elliptic functions and algebraic independence, NCM Workshop, HRI, Prayagraj, 24 Nov- 3 Dec 2022.
- Linear dependence of quasi-periods over the rationals, RMS Pre-Conference Symposium, 36th Annual Ramanujan Mathematical Society Conference, Aug 4, 2021.
- Algebraic Independence of the values of Weierstrass phi, zeta and sigma functions, KSOM, Jan 23-26, 2020.
- Shuffle product, iterated integrals, and Multiple zeta values, KSOM, Jan 18-22,2020.
- Delivered a series of lectures on Galois Theory, AFS III, NISER, July 01-27, 2019.
- Delivered a series of lectures on Galois theory, Summer Outreach Program in Mathematics, (17-29 June 2019), NISER, Bhubaneswar.
- On Transcendental Numbers, Central University of Tamil Nadu, Thiruvarur, Dec 16-17, 2018.
- Algebraic Independence of the values of Weierstrass functions, KSOM, Dec 10-14, 2018.
- Representations of Finite groups, REFRESHER COURSE for College Teachers working in Kerala State, KSOM, Sep 06-09, 2018.
- Delivered a series of lectures on graduate Algebra, Summer Outreach Program in Mathematics, (18-30 June 2018), NISER, Bhubaneswar.
- Delivered a series of lectures on Number Theory during the one-month Training Program in Mathematics (May 21-June 16, 2018), NISER, Bhubaneswar.
- Delivered a series of lectures on Complex Analysis during the one-month Training Program in Mathematics (May 22-June 17, 2017), NISER, Bhubaneswar.
- Tutor for the course Curves and Surfaces, Summer Outreach Program in Mathematics, (June 19-July 01, 2017), NISER, Bhubaneswar.
- Impossibility of angle trisection by ruler and compass, NISER, 17th March 2017.
- Elliptic functions and Elliptic integrals, Discussion meeting on Automorphic forms, NISER, Dec 21-27, 2016.
- Duality principle of multiple zeta values, Two days Number Theory Meet @ HRI, September 06-07, 2016. Harish-Chandra Research Institute.
- Prime decomposition in number fields, AIS Analytic Theory of Algebraic Numbers school at KIIT University, Bhubaneswar, Odisha, 13th June to 2nd July 2016.
- Modular forms: an introduction, AIS Analytic Number Theory School at KIIT University, Bhubaneswar, Odisha, June 01-20, 2015.
- Order structure of multiple zeta values, Conference celebrating 65th birthday of Professor R. Balasubramanian, Dec 14-18, 2015, IMSc, Chennai, India.
- Complex integration, Summer School in Mathematics, May 25-29, 2015, IMSc, Chennai, India.
- On Schanuel’s conjecture, International conference on automorphic forms and applications, February 13-14, 2015, Kerala School of Mathematics,
Kozhikode, India. - On algebraic sets, Discussion meeting – II on Algebraic curves, Feb 19 - March 5, 2014, Harish-Chandra Research Institute, Allahabad, India
- Mahaler's classification of complex numbers, June 2013, Harish-Chandra Research Insitute, Allahabad, India.
- Local global principle for quadratic forms and Hilbert’s symbol, AIS Number Theory: The circle method, June 25-July 14, 2012, The Institute of Mathematical Sciences, Chennai.
- Universal Quadratic Forms and the Fifteen Theorem, June 2012, Harish-Chandra Research Institute, Allahabad, India.
- Adam's theorem about Liouville numbers, Aug 2011, Harish-Chandra Research Institute, Allahabad, India.
Academic Visits
- Harish-Chandra Research Institute, June 20--July 14, 2023.
- Kerala School of Mathematics, January 18--25, 2020.
- Harish-Chandra Research Institute, October 15--18, 2019.
- Centro Internazionale per la Ricerca Matematica, Trento, Italy, Sep 16-21,2019.
- Harish-Chandra Research Institute, October 08--10, 2018.
- Indian Statistical Institute Delhi, October 05--07, 2018.
- Kerala School of Mathematics, September 06--09,2018.
- Centre International de Rencontres Mathematiques-France, May 21--25, 2018.
- Harish-Chandra Research Institute, January 12--21, 2018.
- Harish-Chandra Research Institute, September 06--10, 2017.
- NISER (Bhubaneswar), December 16-27, 2016.
- Harish-Chandra Research Institute, August--September 2016.
- The Institute of Mathematical Sciences, October 2012--January 2013.
- The Institute of Mathematical Sciences, December 2010--January 2011.
- Visiting Student Summer Programme (VSSP), Harish-Chandra Research Institute, May--July 2010.
Conferences/Schools/Workshops Attended:
- Conference on Number Theory, KSOM, August 07--12, 2023.
- NCMW- Elliptic Curves, Elliptic Functions and Transcendence, HRI, Prayagraj, 24 Nov- 3 Dec, 2022.
- International Conference in Number Theory and Workshop on Multiple Zeta values, KSOM, Jan 18-26, 2020.
- School (and Workshop) on Diophantine Geometry and Special Varieties, CIRM, Trento, Italy, Sep 16-21,2019.
- Conference on Algebra and Number Theory, Central University of Tamil Nadu, Thiruvarur, Dec 16-17, 2018.
- Conference on Number Theory, KSOM, Dec 10--14, 2018.
- Conference: Diophantine Geometry, May 21--25, 2018, CIRM, Luminy, Marseille, France.
- School and workshop on modular forms and black holes, January 05--14, 2017, NISER, Bhubaneswar, India.
- Discussion meeting on automorphic forms, December 21--27, 2016, NISER, Bhubaneswar, India.
- Two days Number Theory Meet @ HRI, September 06--07, 2016, Harish-Chandra Research Institute, Allahabad, India.
- Leuca2016, Conference celebrating Michel Waldschmidt’s 70th birthday, June 13--17, 2016, Marina di San Gregorio, Patu` (Lecce), Italy.
- AIS Analytic Theory of Algebraic Numbers school at KIIT University, Bhubaneswar, Odisha, 13th June to 2nd July 2016.
- Indo-French Program for Mathematics, The Institute of Mathematical Sciences, January 11--24, 2016, Chennai, India.
- AIS Analytic Number Theory School at KIIT University, Bhubaneswar, Odisha, June 01-- 20, 2015.
- Conference celebrating the 65th birthday of Professor R. Balasubramanian, December 14--18, 2015, Institute of Mathematical Sciences, Chennai, India.
- International Conference on automorphic forms and applications, February 13--14, 2015 at Kerala School of Mathematics, Kozhikode, India.
- Workshop on Jacobi forms and Modular forms of half-integral weight, February 02--12, 2015 at Kerala School of Mathematics, Kozhikode, India.
- Discussion meeting – II on Algebraic curves, February 19 -- March 5, 2014, at Harish-Chandra Research Institute, Allahabad, India.
- CMI – IMSC Joint conference on the analytic theory of automorphic forms, Dec 09--13, 2013 at The Institute of Mathematical Sciences, Chennai, India.
- CIMPA – ICTP Research school on algebraic curves over finite fields and applications, July 22 --August 02, 2013 at Manila, Philippines.
- CMI – IMSc Lecture series in number theory, a course given by Prof. J. Oesterle on multiple zeta values, October 5, 2012 -- January 07, 2013, at The Institute of Mathematical Sciences, Chennai, India.
- AIS Number theory: The circle method, June 25 --14 July 2012 at The Institute of Mathematical Sciences, Chennai, India.
- Workshop on theory of prime numbers and related areas, May 06 -- 10, 2012 at Kerala School of Mathematics, Kozhikode, India.
- International meeting on number theory celebrating the 60th birthday of Prof. R. Balasubramanian, December 15 -- 20, 2011 at Harish-Chandra Research Institute, Allahabad, India.
- AFS-II, Panjab University, Chandigarh. June 02 -- 29, 2011.
Sponsored Projects
SERB MATRICS GRANT, Department of Science and Technology, Govt. of India; Duration: 2022-2024.