Doctorate Kalyan Banerjee: Assistant Professor at SRM University AP, India

Kalyan Banerjee is an Indian mathematician currently serving as an Assistant Professor (Grade II) at SRM University–AP. His academic journey spans some of the most prestigious research institutions in India and the UK, including the Indian Statistical Institute (ISI), Tata Institute of Fundamental Research (TIFR), Harish-Chandra Research Institute (HRI), and the University of Liverpool. With a deep-rooted interest in the geometry of algebraic cycles and their connections to arithmetic and topology, Dr. Banerjee has published extensively in international journals. He is known for his contributions to questions around rational equivalence, Chow groups, and the generalised Bloch conjecture, and continues to engage actively in both research and teaching across the spectrum of pure mathematics.

Online Profiles

Scopus Profile

• Citations (Scopus): 3 citations from 13 indexed documents

• h-index (Scopus): 1

Kalyan Banerjee maintains an active online presence for academic outreach and collaboration. His professional homepage (https://sites.google.com/site/kalyanmath484/home) provides a comprehensive view of his research, preprints, and teaching materials. His research papers and citation metrics are available on Google Scholar, and his contributions are tracked via ORCID. He also shares pre-publication research widely on arXiv, showcasing a strong commitment to open-access scholarship.

Education

Kalyan Banerjee holds a Ph.D. in Mathematics from the University of Liverpool, UK (2010–2014), where he studied under the supervision of Dr. Vladimir Guletskii. His doctoral thesis investigated one-dimensional algebraic cycles on non-singular cubic fourfolds in projective 5-space, laying the foundation for much of his later work. Prior to this, he earned his M.Math from the Indian Statistical Institute, Bangalore (2007–2009), and a B.Sc. (Hons.) in Mathematics from St. Xavier’s College, Kolkata (2003–2006), where he graduated with First Class honors. His academic excellence was evident early on, with outstanding performances in both the West Bengal Board Secondary and Higher Secondary examinations.

Research Focus

Dr. Banerjee’s research lies at the interface of algebraic geometry, arithmetic geometry, and the theory of motives, with a particular emphasis on algebraic cycles. He is deeply engaged in problems surrounding rational equivalence, Chow groups, representability, and the generalised Bloch conjecture. His work explores complex structures like conic bundles, Fano varieties, and cubic fourfolds, often drawing upon tools from Hodge theory, K-theory, and étale cohomology. Recently, he has collaborated on themes involving Selmer groups and the arithmetic of algebraic cycles, showing a strong interdisciplinary engagement with number theory and arithmetic geometry.

Experience

Over the past decade, Dr. Banerjee has built a rich academic profile through teaching and research appointments at renowned institutions. He currently teaches mathematics and applied statistics at SRM University–AP. Previously, he served as Assistant Professor at VIT Chennai, where he taught a wide range of undergraduate and postgraduate courses in mathematics, statistics, and data science. His postdoctoral experiences include fellowships at HRI Allahabad, IMSc Chennai, IISER Mohali, and TIFR Mumbai, where he contributed to seminars and collaborative research. His early academic grounding was shaped at ISI Bangalore, where he began as a CSIR JRF. These roles have enabled him to mentor students, deliver advanced seminars, and participate in research networks both in India and internationally.

Research Timeline

Kalyan Banerjee’s research journey began with his doctoral work at the University of Liverpool (2010–2014), where he also contributed as a teaching assistant across multiple undergraduate mathematics courses. He held short-term postdoctoral positions at IMSc Chennai (2014–2015) and IISER Mohali (2017), and was a Visiting Scientist at ISI Bangalore (2015–2017), before serving as a Visiting Fellow at TIFR Mumbai (2017–2018). From 2018 to early 2021, he was a Postdoctoral Fellow at HRI Allahabad, a period during which he expanded his research on Chow groups and Selmer groups. He later transitioned into full-time teaching positions, first at VIT Chennai (2021–2023), and currently at SRM University–AP (2024–present), where he also continues his active research collaborations.

Awards & Honors

Dr. Banerjee has been recognized with several prestigious academic awards and fellowships throughout his career. During his Ph.D. studies at the University of Liverpool, he was awarded a Graduate Teaching Assistantship, allowing him to contribute to undergraduate education while conducting research. He received the CSIR Junior Research Fellowship at ISI Bangalore in 2009, and the NBHM M.Sc. Scholarship during his postgraduate studies. At St. Xavier’s College, he was the department topper and received the Ram Chandra Ghosh Scholarship for academic excellence. These honors reflect his consistent scholarly commitment from undergraduate studies through to his present academic role.

Top-Noted Publication

Among his many publications, one of Dr. Banerjee’s most significant works is “Etale monodromy and rational equivalence for 1-cycles on cubic hypersurfaces in P⁵”, co-authored with Vladimir Guletskii and published in Sbornik Mathematics (2020). In this paper, the authors employ techniques from étale cohomology and monodromy theory to examine rational equivalence classes of algebraic cycles—deepening the understanding of cycle-theoretic behavior on complex cubic hypersurfaces. The work has been cited for its contribution to questions surrounding Chow groups and for building bridges between étale methods and classical algebraic geometry.

Title: Finiteness of Selmer Groups Associated to Degree Zero Cycles on an Abelian Variety Over a Global Function Field
Authors: Kalyan Banerjee, Kalyan Chakraborty
Journal: Ramanujan Journal
Year: 2025
DOI: Pending
Link: LinkSpringerLink+9arXiv+9YouTube+9

This paper addresses the finiteness of Selmer groups associated with degree zero cycles on an abelian variety defined over a global function field. The authors provide a detailed analysis of the structure and properties of these Selmer groups, contributing to the understanding of their finiteness in the context of algebraic geometry and number theory.