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.
Non peer-reviewed Articles/Papers
Term Zero 2023
I am looking for motivated PhD students and postdocs to work in problems related to enumerative & algebraic combinatorics, and/or integer partitions & q-series.
If you are interested in joining as a PhD student then please email me with a CV and consult the Ahmedabad University PhD admission guidelines.
If you are interested in joining as a postdoc then please email me with your CV. At present, I do not have any funds for hiring a postdoc but I am open to supporting suitable applicants for external funding like NBHM and NPDF.