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Mathematical and Physical Sciences



Manjil Saikia

Assistant Professor

PhD (University of Vienna, Austria)

[email protected]

https://manjilsaikia.in

     


Research Interests: Enumerative and Algebraic Combinatorics, q-Series and Integer Partitions, Elementary Number Theory, Analysis of Combinatorial Algorithms


Profile

Manjil Saikia is an Assistant Professor in the Mathematical and Physical Sciences division of the School of Arts and Sciences at Ahmedabad University. He earned his PhD in Mathematics from the University of Vienna, Austria (2019). Before that he got a postgraduate diploma from Abdus Salam International Centre for Theoretical Physics (ICTP) in Trieste, Italy (2015). His post-PhD experience includes a three-year postdoctoral position at Cardiff University, UK (2019-2022).

Professor Saikia enjoys research and teaching mathematics to students at all levels. He is particularly interested in mentoring undergraduate students in research. He has a very strong interest in mathematics outreach and has been an editor of the online bilingual magazine, Gonit Sora (https://gonitsora.com) (which he co-founded) since its inception in 2011. He is also actively involved with the Assam Academy of Mathematics (AAM) since his student years and is now an executive committee member of AAM and the Journal Manager of the Journal of AAM (https://jaam.aamonline.org.in). He likes to read books, mostly about history, politics, and science.

Research

Professor Saikia is interested in combinatorics broadly. He also has a strong parallel interest in number theory and theoretical computer science.

In combinatorics, he works on enumerating alternating sign matrices and plane partitions. The enumeration problems are typically solved using techniques emerging from a variety of fields, including statistical physics and representation theory. As an offshoot of this work, he is also interested in tiling problems and matching theory. In addition, he is very interested in integer partitions and understanding various partition statistics and exploring their combinatorial structures.

In number theory, he is interested in understanding the odd perfect number problem and exploring various generalised perfect numbers. In computer science, he is interested in understanding combinatorial algorithms which arise from some of his other work. Additionally, he is interested in finding algorithms to understand the arithmetic properties of different classes of integer partitions.

Selected Publications

Peer-reviewed Papers

  • Manjil P. Saikia, Some Missed Congruences modulo powers of 2 for t-colored overpartitions, Boletín de la Sociedad Matemática Mexicana, Springer, 29, 1, 2023, Article 15. DOI: https://doi.org/10.1007/s40590-022-00487-8
  • Pankaj Jyoti Mahanta and Manjil P. Saikia, Refinement of some partition identities of Merca and Yee, International Journal of Number Theory, World Scientific, 18, 5, 2022, 1131-1142, DOI:https://doi.org/10.1142/S1793042122500592
  • Pankaj Jyoti Mahanta and Manjil P. Saikia, Some New and Old Gibonacci Identities, Rocky Mountain Journal of Mathematics, Project Euclid, 52, 2, 2022, 645-665, DOI: https://doi.org/10.1216/rmj.2022.52.645
  • Koustav Banerjee and Sreerupa Bhattacharjee and Manosij Ghosh Dastidar and Pankaj Jyoti Mahanta and Manjil P. Saikia, Parity Biases in Partitions and Restricted Partitions, European Journal of Combinatorics, Elsevier, 103, 2022, 103522, DOI: https://doi.org/10.1016/j.ejc.2022.103522
  • Ilse Fischer and Manjil P. Saikia, Refined Enumeration of Symmetry Classes of Alternating Sign Matrices, Journal of Combinatorial Theory Series A, Elsevier, 178, 2021, 105350, DOI: https://doi.org/10.1016/j.jcta.2020.105350
  • Pankaj Jyoti Mahanta and Manjil P. Saikia and Daniel Yaqubi, Some properties of Zumkeller numbers and k-layered numbers, Journal of Number Theory, Elsevier,  217, 2020, 218–236, DOI:https://doi.org/10.1016/j.jnt.2020.05.003
  • Javier T. Akagi and Carlos F. Gaona and Fabricio Mendoza and Manjil P. Saikia and Marcos Villagra, Hard and Easy Instances of L-Tromino Tilings, Theoretical Computer Science, Elsevier, 815, 2020, 197-212, DOI:https://doi.org/10.1016/j.tcs.2020.02.025
  • Manjil P. Saikia, Enumeration of Domino Tilings of an Aztec Rectangle with boundary defects, Advances in Applied Mathematics, Elsevier, 89, 2017, 41–66, DOI: https://doi.org/10.1016/j.aam.2017.04.002
  • Manjil P. Saikia and Jure Vogrinc, Binomial Symbols and Prime Moduli, Journal of the Indian Mathematical Society, Indian Mathematical Society, 79, 1-4, 2011, 137 - 143

Non peer-reviewed Articles/Papers

  • Manjil P. Saikia, Is an Assamese-Medium Medical College Just a Poll Gimmick?, The Wire Science, 10 Feb 2021, Link: https://science.thewire.in/education/is-an-assamese-medium-medical-college-just-a-poll-gimmick/
  • Manjil P. Saikia, The Remarkable Sequence 1, 2, 7, 42, 429, 7436, ..., Ganit Bikash, Vol. 67, Jul-Dec 2020, Link: https://aamonline.org.in/ganit-bikash/gb/volume-67/11-The-Remarkable-Sequence-Manjil-P-Saikia.pdf
  • Madhurrya P. Talukdar and Manjil P. Saikia, The Perils of the Indian Education System, Pragyan, Tinisukia College Magazine, 2019, Link: https://manjilsaikia.in/publ/papers/Tinisukia_Education.pdf
  • Manjil P. Saikia, Debate: The Case for Intellectual Colonialism, The Wire, 09 Dec 2017, Link: https://thewire.in/education/debate-case-intellectual-colonialism
  • Manjil P. Saikia, John Forbes Nash Jr –- A Short Obituary, Asia Pacific Mathematics Newsletter, Vol. 5 No. 2, Sep 2015, Link: https://gonitsora.com/manjil/papers/john-nash.pdf
  • Manjil P. Saikia, The Pythagoras Theorem, Asia Pacific Mathematics Newsletter, Vol. 5 No. 2, Sep 2015, Link: http://www.asiapacific-mathnews.com/05/0502/0005_0008.pdf
  • Pankaj Jyoti Mahanta and Manjil P. Saikia, Gonit Sora: The Two Year Journey, Asia Pacific Mathematics Newsletter, Vol. 3 No. 4, Oct 2013, Link: https://manjilsaikia.in/publ/papers/gonit-sora-apmn.pdf

MAA Book Reviews

Teaching

Bi-semester 2023-24

  • MAT142 Introductory Calculus (First year BBA)

Monsoon 2023

  • CSE525/CSC525 Theory of Computing (Fourth year BTech/BS)
  • Foundation Programme: Environment and Climate Change studio, Module 3 (First year UG)

Term Zero 2023

  • MAT000 Mathematics for Business (First year MBA)

Editorial

  • Journal Manager, Journal of the Assam Academy of Mathematics (2022 - present)
  • Deputy Editor, Ganit Bikash (2020 - present)
  • Managing Editor, Gonit Sora (2011 - present)

School of Arts and Sciences

Ahmedabad University 
Central Campus 
Navrangpura, Ahmedabad 380009
Gujarat, India

[email protected]
+91.79.61911502

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