Nayandeep Deka Baruah

Nayandeep Deka Baruah
Born 1972 (age 45–46)
Assam, India
Nationality Indian
Education
Notable work Ramanujan type congruences, partition theory

Nayandeep Deka Baruah (born 1972) is an Indian mathematician and at present professor in the Department of Mathematical Sciences at Tezpur University, India.[1] He is known for his work related to the mathematics of Ramanujan, in particular he and his collaborators have found several Ramanujan type congruences using different methods.

Biography

Baruah started his school education in Sibsagar district of Assam, and then went to Cotton College, Guwahati to do his Bachelors in mathematics in 1992. He graduated with a masters in mathematics from the Indian Institute of Technology, Kanpur (IITK), India in 1995 and a Ph.D in mathematics from Tezpur University, India in 2001.[2] The title of his Ph.D thesis was Contributions to Ramanujan's Schlafli-type Modular Equations, Class Invariants, Theta-functions, and Continued Fractions.[3] Following a short stint at Assam University, Silchar, he has been a member of the faculty at Tezpur since 1997,[4] becoming full professor in 2009. For a period of one year in 2006-07, he was a visitor at the University of Illinois, Urbana-Champaign working with Bruce C. Berndt.[5]

Awards and Honours

He has been a recipient of the Young Scientist Award from the Indian Science Congress Association in 2004 and a BOYSCAST Fellowship from the Department of Science and Technology, Government of India in 2005-06.[6]

Professional Contributions

Baruah has written over 50 research papers so far related to Ramanujan's mathematics, special functions, modular equations, q-series and partition theory.[7] He has so far guided 9 students under him for their Ph.D dissertation. He is also associated with giving several popular lectures for school and college students in different places of Assam as well as in other parts of the country; and is a member of the advisory board of the online magazine Gonit Sora.[8]

His Erdős number is 3, and he is a member of several distinguished professional societies and serves on several committees related to university education.

Selected bibliography

  • Baruah, Nayandeep Deka (2002). "Modular Equations for Ramanujan's Cubic Continued Fraction". Journal of Mathematical Analysis and Applications. 268 (1): 244–255. doi:10.1006/jmaa.2001.7823.
  • Baruah, Nayandeep Deka; Berndt, Bruce C. (2007). "Partition identities and Ramanujan's modular equations". Journal of Combinatorial Theory, Series A. 114 (6): 1024–1045. doi:10.1016/j.jcta.2006.11.002.
  • Baruah, Nayandeep Deka; Bora, Jonali; Saikia, Nipen (2008). "Some new proofs of modular relations for the Göllnitz-Gordon functions". Ramanujan Journal. 15 (2): 281–301. doi:10.1007/s11139-007-9079-8.
  • Baruah, Nayandeep Deka; Berndt, Bruce C. (2008). "Ramanujan's series for 1/π arising from his cubic and quartic theories of elliptic functions". Journal of Mathematical Analysis and Applications. 341 (1): 357–371. doi:10.1016/j.jmaa.2007.10.011.
  • Baruah, Nayandeep Deka; Berndt, Bruce C.; Chan, Heng Huat (2009). "Ramanujan's series for 1/π: a survey". American Mathematical Monthly. 116 (7): 567–587. doi:10.4169/193009709X458555.
  • Baruah, Nayandeep Deka; Berndt, Bruce C. (2010). "Eisenstein series and Ramanujan-type series for 1/π". Ramanujan Journal. 23 (1–3): 17–44. doi:10.1007/s11139-008-9155-8.
  • Baruah, Nayandeep Deka; Sarmah, Bipul Kumar (2011). "Congruences for generalized Frobenius partitions with 4 colors". Discrete Mathematics. 311 (17): 1892–1902. doi:10.1016/j.disc.2011.05.010.
  • Baruah, Nayandeep Deka; Ojah, Kanan Kumari (2012). "Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations". Ramanujan Journal. 28 (3): 385–407. doi:10.1007/s11139-011-9296-z.

References

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