+91-674-249-4082
Faculty
K. Senthil Kumar
Submitted by senthil on 9 January, 2017 - 12:43
Designation:
Assistant Professor
Research Area:
Number Theory
Education:
- Ph.D., November 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:
- Assistant Professor (since January 2017), 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:
- (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 zetavalues, 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. NumberTheory 154 (2015), 82–100.
- (with R. Thangadurai and M. Waldschmidt) Liouville numbers, Liouvillesets 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 (Preprint).
- Fields of transcendence degree two associated to Weierstrass elliptic functions (Preprint).
Teaching:
- M207: Number Theory (Aug--Dec 2017, NISER)
- M602: Algebra-II (Jan--May 2018, NISER)
Responsibility:
Project/Thesis Guidance:
Academic Presentations:
- 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.
- Cauchy theory of 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, 12-21 January 2018.
- Harish-Chandra Research Institute, 6-10 September 2017.
- NISER (Bhubaneswar), 16-27 December 2016.
- Harish-Chandra Reseasrch 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:
- School and workshop on modular forms and black holes, January 5-14, 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 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 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 2, 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 7, 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 6 – 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 2 - 29, 2011.
Sponsored Projects:
Contact:
Office Phone:
0674-249-4091
Office Room:
M211
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