Manjil Saikia
Assistant Professor
PhD (University of Vienna, Austria)
Research Interests: Enumerative and Algebraic Combinatorics, q-Series and Integer Partitions, Elementary Number Theory, Analysis of Combinatorial Algorithms
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.
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.
Peer-reviewed Papers
Non peer-reviewed Articles/Papers
Bi-semester 2023-24
Monsoon 2023
Term Zero 2023