Ajit Singh
Grant Category: Fulbright-Nehru Postdoctoral Research Fellowships
Project Title: Arithmetic Properties of Certain Partition Functions and Modular Forms
Field of Study: Mathematical Sciences
Home Institution: Indian Institute of Technology Guwahati, Guwahati, Assam
Host Institution: University of Virginia, Charlottesville, VA  
Grant Start Month: August, 2023
Duration of Grant: Twenty-four months

Ajit Singh
Brief Bio:

Dr. Ajit Singh is Research Associate at the Department of Mathematics, Indian Institute of Technology Guwahati, Assam. He obtained his B.Sc. in 2015 from Ewing Christian College, an autonomous constituent college of Allahabad University, Prayagraj and his M.Sc. in 2017 from the Indian Institute of Technology Guwahati. He then earned his Ph.D. in June 2022 from the Indian Institute of Technology Guwahati, Assam under the supervision of Prof. Rupam Barman. Dr. Singh is primarily interested in number theory: in particular, partition theory, mock theta functions, modular forms, and harmonic maass forms. His research is deeply influenced by the work of Ramanujan. Dr. Singh has published several research articles in reputable international journals. He has also qualified IIT-JAM, CSIR-UGC NET, and GATE examinations.

As a Fulbright-Nehru Postdoctoral Research fellow, Dr. Singh has joined the Department of Mathematics, University of Virginia, Charlottesville, VA. He is working on arithmetic properties of certain partition and mock theta functions using the q-series manipulations, modular forms, and harmonic maass forms theory. He is primarily focusing on Wang’s and Mahlburg’s conjectures on the mock theta functions and overpartitions, respectively.

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