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INTRODUCTION
The Zariski Cancellation Problem is a famous question in algebraic geometry that was first asked in 1949 by Oscar Zariski, a Russian-born American mathematician who helped shape the field. For more than 60 years, many mathematicians tried to solve it without success. In 2014, a mathematician from Kolkata, Neena Gupta, solved this difficult problem. Her work focused on a version of the problem in positive characteristic, a specific area of algebraic geometry. Her breakthrough was widely praised around the world as a major achievement. Neena Gupta, now 41 years old, gained international acclaim for solving this long-standing mathematical problem, and in recognition of her remarkable contributions, she was awarded the Infosys Prize 2024 in Mathematical Sciences (Infosys Science Foundation, 2025; Dutta, 2025; Mitra, 2024). This episode starts with/ about Neena Gupta, Professor of Indian Statistical Institute (ISI), Kolkata, the youngest mathematician cum scientist (age 41 years) so far. She is the much-discussed genius in mathematics of today and is pride for Indian mathematical community as well West Bengal.
Oscar Zariski
Oscar Zariski (April 24, 1899 – July 4, 1986) was a Russian-born American mathematician and one of the most important figures in algebraic geometry during the 20th century (Wikipedia, 2025). Along with André Weil, Zariski helped transform algebraic geometry by giving it a solid foundation based on algebra. Just like Descartes used basic algebra to create coordinate geometry, Zariski used modern commutative algebra-a subject developed by Emmy Noether and W. Krull-to build a more rigorous version of algebraic geometry. In addition to making major contributions to both algebra and geometry, Zariski also trained many leading mathematicians of the 20th century (Dutta, 2025; Wikipeadia, 2025a).
Zariski Cancellation Problem
The Zariski Cancellation Problem asks whether, if two algebraic varieties become isomorphic after adding a variable, they were isomorphic to begin with. Prof. A. K Dutta of ISI Kolkata has discussed about the “Zariski Cancellation Problem” in his valuable paper (Dutta, 2025). The Zariski Cancellation Problem is a fundamental question in algebraic geometry and commutative algebra, named after Oscar Zariski (Zariski and Samuel, 1958/1960; Gupta, 2015, 2022). It asks:
In simpler terms, if adding an extra variable (or dimension) to two geometric objects makes them look the same, were they already the same to begin with?
Here,
A1 is the affine line (similar to the real number line in algebraic geometry).
A1 represents the product of a variety with a line, increasing its dimension by 1.
This is called cancellation because one is "cancelling" the affine line factor A1.
Affine Algebraic Geometry
Affine Algebraic Geometry is a branch of algebraic geometry that focuses on algebraic varieties defined in affine space. It studies the solutions to systems of polynomial equations over a field, using tools from commutative algebra and geometry. The affine space Akn over a field k is simply kn, thought of as the set of all n-tuples of elements of k. But unlike vector space, affine space does not have a distinguished origin; it’s more flexible.
Dr. A. K. Dutta, her guide and philosopher explained the idea well in his 2025 paper (Dutta, 2025). He described affine algebraic geometry as a branch of algebraic geometry that is closely linked to commutative algebra. In simple terms, it studies the properties of affine spaces, which are geometric objects defined using algebra. These spaces are built over either a fieldor a ring. A field is a set of numbers, like the real numbers R, complex numbers C, or rational numbers Q, where you can add, subtract, multiply, and divide (except by zero). A ring, such as the set of integers, also allows addition, subtraction, and multiplication, but not always division.
Early Life and Her Family
Dr. (Mrs.) Neena Gupta was born on 24 November 1984 in Alambazar, Baranagar, near the famous Dakshineswar Temple in Kolkata. She comes from the Marwari community, with family roots in Jhunjhunu district, Rajasthan. Her father, Satya Narayan Gupta, worked in Kolkata, and she grew up in a modest middle-class household with her two brothers, Rohit and Amit. Neena fondly remembers how her father would challenge them with fun math puzzles, while her mother, Gyanlata, taught all three children up to Class X. She attended Khalsa Model Senior Secondary School from nursery to Class XII, where mathematics was always her favourite subject. After finishing school in 2003, she pursued a BSc in Mathematics Honours at Bethune College, a historic women’s college affiliated with Calcutta University in 2006. Neena Gupta graduated with top honors, standing First Class First in her B.Sc. (Honours) in Mathematics from Bethune College. Her academic excellence earned her numerous medals and book prizes. She then completed the M.Math program at the Indian Statistical Institute (ISI), Kolkata, in 2008, receiving the Gold Medal for best performance in her batch. That same year, she was selected for the PhD program at the Tata Institute of Fundamental Research (TIFR), awarded the prestigious Shyama Prasad Mukherjee Fellowship (SPMF) by CSIR, and also offered the Special Research Fellowship from ISI for outstanding doctoral candidates. She chose to pursue her PhD at ISI Kolkata under the SPMF. During her M.Math studies, Neena developed a strong interest in Number Theory and Algebra. As ISI Kolkata did not have a professional number theorist at the time, she chose to work in Commutative Algebra and Affine Algebraic Geometry under the supervision of Dr. A.K. Dutta. She was awarded her PhD in February 2012. The title of her thesis was "Some results on Laurent polynomial fibrations and Quasi A*-algebras" (Dutta, 2025; Tandon, 2021; Wikipedia, 2025; ISI, n.d.).
Professional Career
Dr. (Mrs.) Gupta is a Professor in Theoretical Statistical and Mathematics Unit of Indian Statistical Institute, Kolkata, Barrackpore Trunk Road since June 2022. Prior to that, she worked as Associate Professor in the same unit from 2014 to 2022. Gupta has been a professor in the Statistical and Mathematics Unit of ISI Kolkata since June 2014. She worked as INSPIRE faculty at ISI Kolkata during December 2012 to June 2014. Dr. Gupta also was a visiting fellow at TIFR Mumbai from May 2012 to December 2012. Before that she was a visiting Scientist at ISI Kolkata for the time span of February 2012 to April 2012. Apart from that she was Shyama Prasad Mukherjee Research Fellow at ISI Kolkata for the period of September 2008 to February 2012 (Wikipedia, 2025; SCRIBD, 2024; ISI, n.d.).
Neena Gupta’s Research and Solution for the Zariski Cancellation Problem
For 60 years, the Zariski Cancellation Problem remained unsolved-until Dr. Neena Gupta from ISI Kolkata made a major breakthrough. In 2014, she proved that a 3-dimensional affine variety created by mathematician Asanuma gives a negative answer to this problem in positive characteristic. Her contributions introduced novel perspectives in algebraic geometry and commutative algebra. Building upon Zariski’s foundational work, Dr. Neena Gupta significantly advanced the modern understanding and resolution of the problem in positive characteristic, as outlined in her 2015 survey and 2022 exposition (Gupta, 2015, 2022). Her findings revealed surprising links between different ideas in mathematics and helped deepen our understanding of the field (Infosys Science Foundation, 2025). According to Chandrashekhar Khare, Jury Chair for Mathematical Sciences, “Prof. Neena Gupta’s work has had a big impact in algebraic geometry, especially through her solution to the long-standing Zariski Cancellation Problem.” (Dutta, 2025). Dr. Neena Gupta carried out all her research in India but largest number of her publications emanated from abroad, and has become a source of inspiration for young people interested in pursuing fundamental research in pure sciences. Her biography and research contributions are available on platforms such as Wikipedia, Google Scholar, and ResearchGate. Recently, she has also gained widespread attention across various media and social platforms for her exceptional achievements in mathematics. This bio-bibliometric portrait is a humble tribute to Dr. Gupta, aiming to highlight her contributions and inspire future generations of researchers in the country.
Objectives
The main objectives of this study are:
- To find year and age wise publications of Dr. Neena Gupta,
- To observe her position as main author and co-author,
- To calculate the degree of collaboration,
- To measure author productivity,
- To find the research team with co-authors,
- To identify the preferred publication channels,
- To obtain DC, CI, CC, and MCC for her authorship pattern,
- To analyze citation received or ‘cited by’ including CGR,
- To determine top cited scholarly works.
REVIEW OF LITERATURE
Over the years, numerous bibliometric and scientometric studies have been conducted by librarians and information scientists to examine the scholarly contributions of distinguished individuals across diverse disciplines. These studies, primarily subject-oriented, underscore a sustained interest in assessing the academic impact and intellectual output of eminent personalities using bibliometric approaches.
Srimurugan and Nattar (2008) conducted an early study analysing the research productivity of Dr. K. Veluthambi, a renowned plant biologist. This was followed by Hazarika, Sarma, and Sen (2010), who examined the scientific output of Dr. Nayana Nanda Borthakur, a noted biometeorologist. In the same year, Sangam and Savanur (2010) undertook a bibliometric investigation of Eugene Garfield, a pioneering figure widely acknowledged as the founder of bibliometrics and scientometrics. Mukherjee (2013) contributed to this field by analysing the research output of Prof. Lalit Singh, further expanding the scope of bibliometric profiling in Indian academia. Subsequently, Manjunath and Ramesha (2015) conducted a comprehensive study of Nobel Laureate Sir C. V. Raman, focusing on his biographical details and scholarly contributions. A significant addition came from Mondal, Raychoudhury, and Sarkhel (2018), who presented a biobibliometric profile of Prof. P. C. Mahalanobis, the eminent Indian statistician. This was followed by Dutta (2019), who documented the academic legacy of Prof. B. K. Sen, a prominent librarian and scientometrician. In recent years, the scope of such studies has continued to diversify. Teli and Maity (2021) carried out a bibliometric analysis of Stephen William Hawking, a globally acclaimed theoretical physicist. Huded et al. (2023) explored the research contributions of Prof. Madhav Gadgil, an ecologist and environmental scientist. Koley (2023, 2024) significantly broadened the spectrum of subjects by profiling notable personalities from the fields of medicine and law, including Prof. Dilip Mahalanobis (pioneer of Oral Rehydration Solution), and Justice Fali Sam Nariman (India’s first Additional Solicitor General) and Dr. Raj Chandra Bose, American-Indian Mathematical Statistician and one of the Euler’s theory breaker. Behera and Meher (2024) provided insights into the scholarly influence of Dr. Raghuram Rajan, an esteemed economist and former Governor of the Reserve Bank of India. Most recently, Koley (2025) presented a bio-bibliographic study on Dr. Suprabhat Mukherjee, a researcher specializing in colon cancer, reflecting the continuing evolution and interdisciplinary reach of bibliometric research.
Despite this rich body of work covering diverse scientific domains and personalities, no bibliometric study has yet been conducted on Dr. Neena Gupta, a young and acclaimed mathematician known for her contributions to algebraic geometry and commutative algebra. This gap presents a unique opportunity for an original and timely scientometric assessment of her research output and impact. Given her recognition in the global mathematical community, such a study would be both relevant and valuable in the context of emerging research in mathematical sciences.
Methodology
Data Collection
This study covers 46 publications of Dr. Neena Gupta in mathematical sciences during the period 2011-2025. All the publications have been extracted from ResearchGate (RG), Google Scholar (GS) databases and scientist’s web site. His publications include 07 journal articles, 03 conference proceedings, 01 poster presentations, 01 dissertation published in different publication media in India and abroad. In addition, other data has been collected from various offline and online sources. A compiled data sheet of his publications was prepared for this study. Then all data were taken into MS-excel and Words, and tabulated for reaching to the points as per objectives of this study. Finally, finding statements are prepared one by one and discussed in the following sections.
Statistical Analysis
This study employs bibliometric formulas for Productivity Co-efficient, Average Annual Productivity, Collaboration Index (CI), Collaboration Co-efficient (CC), and Modified Collaboration Coefficient (MCC).
Ethical Statement
This study is based on publicly available bibliographic data and does not involve human subjects, thus requiring no ethical approval.
Results
The following tabulated data reveals some key factors.
Year- and Age-wise Distribution of Publications
Table 1 shows year and age-wise number of papers including co-authors and Degree of collaboration. During the short time span of 15 years, Neema has published 46 papers, of which 35 are multi-authored papers. Total 51 co-authors were involved for this purpose. Figure 1 represents year-and-age wise publications of Dr. Neena Gupta.
| Year | TP | CP | AA | PPA | SAP | MAP | Authorship Status | CoA | DC= MAP/TP | ||
|---|---|---|---|---|---|---|---|---|---|---|---|
| (b.1984) | 1st | 2nd | 4th | ||||||||
| 2011 | 1 | 1 | 27 | 1 | 1 | 1 | 1 | 1 | |||
| 2012 | 3 | 4 | 28 | 2 | 1 | 2 | 2 | 3 | 0.67 | ||
| 2013 | 1 | 5 | 29 | 3 | 1 | 0 | |||||
| 2014 | 5 | 10 | 30 | 4 | 4 | 1 | 1 | 1 | 0.2 | ||
| 2015 | 3 | 13 | 31 | 5 | 1 | 2 | 2 | 2 | 0.67 | ||
| 2017 | 3 | 16 | 33 | 7 | 3 | 3 | 4 | 1 | |||
| 2018 | 4 | 20 | 34 | 8 | 4 | 4 | 6 | 1 | |||
| 2019 | 3 | 23 | 35 | 9 | 3 | 2 | 1 | 5 | 1 | ||
| 2020 | 5 | 28 | 36 | 10 | 5 | 2 | 3 | 9 | 1 | ||
| 2021 | 3 | 31 | 37 | 11 | 3 | 1 | 2 | 5 | 1 | ||
| 2022 | 2 | 33 | 38 | 12 | 1 | 1 | 1 | 1 | 0.5 | ||
| 2023 | 6 | 39 | 39 | 13 | 1 | 5 | 1 | 4 | 5 | 0.83 | |
| 2024 | 6 | 45 | 40 | 14 | 1 | 5 | 1 | 4 | 9 | 0.83 | |
| 2025 | 1 | 46 | 41 | 15 | 1 | 0 | |||||
| Total | 46 | 11 | 35 | 7 | 25 | 3 | 51 | 0.76 |
Productivity Co-efficient (PC)
PC = FPA / total PPA. As she published 50% of the total papers 46 i.e. 23 by the end of the year 2019, her FPA age is 35. PPA =15. Here, PC = 35/15 = 2.33.
Average Annual Productivity (AAP)
AAP = Total Papers/ Total paper productive age = 46/15 = 3.07
Authorship Pattern
Authorship pattern is meant for the number of authors per paper. Table 2 highlights types of papers according to the number of authors of papers.
| Number of authors | Single | Two | Three | Four | Total |
|---|---|---|---|---|---|
| Non-collaborative papers | 11 | 11 | |||
| Collaborative papers | 21 | 12 | 2 | 35 | |
| Time span (Total) | 2012-2025 | 2011-2023 | 2012-2024 | 2019-2021 | |
| Year-range | 14 | 13 | 13 | 3 |
Status of By-line of Author
In multi-authored publications, the order in which authors are listed often reflects the level of their intellectual contribution to the work. Ideally, the sequence should represent the relative input of each contributor. Table 3 presents the authorship positions held by Neena in her collaborative publications.
| Authorship pattern | Positions in By-line of authors | |||
|---|---|---|---|---|
| 1st | 2nd | 4th | Total | |
| Two-authored | 7 | 14 | 21 | |
| Three-authored | 1 | 11 | 12 | |
| Four-authored | 2 | 2 | ||
| Total | 8 | 25 | 2 | 35 |
CI, CC and MCC
Using the following formulas (Yadav et al., 2019; Ravichandra and Rajendra, 2024; Ajiferukeet al., 1988), value of Collaboration Index (CI), Collaboration Co-efficient (CC) and Modified Collaboration Coefficient (MCC) are calculated and listed in Table 4. From the observed data set of the Table 4, the following bibliometric indicators are obtained with examples.
| Year | Total | Authorship Pattern | Bibliometric Indicators | |||||
|---|---|---|---|---|---|---|---|---|
| I | II | III | IV | CC | CI | MCC | ||
| 2011 | 1 | 1 | 0.5 | 2 | 0 | |||
| 2012 | 3 | 1 | 1 | 1 | 0.39 | 2 | 0.59 | |
| 2013 | 1 | 1 | 0 | 1 | 0 | |||
| 2014 | 5 | 4 | 1 | 0.1 | 1.2 | 0.13 | ||
| 2015 | 3 | 1 | 2 | 0.33 | 1.67 | 0.49 | ||
| 2017 | 3 | 2 | 1 | 0.55 | 2.33 | 0.83 | ||
| 2018 | 4 | 2 | 2 | 0.58 | 2.5 | 0.77 | ||
| 2019 | 3 | 2 | 1 | 0.58 | 2.67 | 0.87 | ||
| 2020 | 5 | 1 | 4 | 0.63 | 2.8 | 0.79 | ||
| 2021 | 3 | 2 | 1 | 0.58 | 2.67 | 0.87 | ||
| 2022 | 2 | 1 | 1 | 0.25 | 1.5 | 0.5 | ||
| 2023 | 6 | 1 | 5 | 0.42 | 1.83 | 0.5 | ||
| 2024 | 6 | 1 | 1 | 4 | 0.53 | 2.5 | 0.64 | |
| 2025 | 1 | 1 | 0 | 1 | 0 | |||
| Total | 46 | 11 | 21 | 12 | 2 | 0.43 | 2.11 | 0.44 |
Collaboration Index (CI)
Collaborative Index (CI) is the average number of authors per article in a given set of publications. It serves as a basic indicator of collaborative activity in research.
Where,
j = number of authors in an article (i.e. 1, 2, 3…).
fj = count of papers with j authors, and.
N = total number of papers.
A = the total number of authors per article.
For example,
[Note that, 1 for single- authored paper, 2 for two authored papers, etc.]
Collaboration Co-efficient (CC)
It quantifies the proportion of multi-authored papers in relation to the total number of papers published, helping to assess the extent of collaborative research within a given dataset or discipline.
Where,
j = the number authors in an article i.e. 1, 2, 3 ……
fj = the number of j authored articles.
N = the total number of articles published in a year.
For example,
This metric is often used in bibliometric studies to understand collaboration trends across authors, institutions, or countries.
Modified Collaboration Coefficient (MCC)
The MCC is a bibliometric indicator used to measure the degree of collaboration in scientific research. It’s a refinement of the original Collaboration Coefficient (CC), which quantifies the extent of co-authorship in scholarly publications.
Symbolically,
For example,
MCC interprets three levels of collaborations using the following approximate standard value of MCC (Ajiferuke et al., 1988; Savanur and Srikanth, 2010) viz, The Modified Collaboration Coefficient (MCC) classifies research collaboration into three levels based on approximate values: low collaboration (MCC ≈ 0.00-0.30), indicating predominantly single-authored works; moderate collaboration (MCC ≈ 0.31–0.60), reflecting a balance between individual and joint research; and high collaboration (MCC ≈ 0.61–1.00), where multi-authored publications dominate (Ajiferuke et al., 1988; Savanur and Srikanth, 2010).
Rank wise Closest Collaborators
Table 5 shows the number of co-authors Dr. Neena Gupta has worked with, the time period of their collaboration, and how many papers they published each year.
| Sl. No. | Co-author's Name | Papers | YFP | YLP | Time Span | Paper/ Year |
|---|---|---|---|---|---|---|
| 1 | Amartya Kumar Dutta | 9 | 2012 | 2020 | 9 | 1 |
| 2 | Parnashree Ghosh | 9 | 2022 | 2024 | 3 | 3 |
| 3 | Nikhilesh Dasgupta | 6 | 2017 | 2021 | 5 | 1.2 |
| 4 | Ananya Pal | 5 | 2024 | 2024 | 1 | 5 |
| 5 | SM Bhatwadekar | 4 | 2011 | 2017 | 7 | 0.57 |
| 6 | Sourav Sen | 4 | 2019 | 2021 | 3 | 1.33 |
| 7 | Animesh Lahiri | 3 | 2018 | 2020 | 3 | 1 |
| 8 | Nobuharu Onoda | 3 | 2012 | 2020 | 9 | 0.33 |
| 9 | Dhvanita R Rao | 2 | 2014 | 2020 | 7 | 0.29 |
| 10 | Sagnik Chakraborty | 2 | 2019 | 2021 | 3 | 0.67 |
| 11 | Teruo Asanuma | 1 | 2018 | 2018 | 1 | 1 |
| 12 | Takanori Nagamine | 1 | 2023 | 2023 | 1 | 1 |
| 13 | Sagar Kolte | 1 | 2020 | 2020 | 1 | 1 |
| 14 | Swapnil Lokhande | 1 | 2017 | 2017 | 1 | 1 |
Communication Channels and Different Indicators
Publication Types and Platforms Table 6 outlines the range of platforms used for disseminating the researcher’s work, along with their respective h-index, impact factor (IF), and country of origin. Out of a total of 46 publications, 13 (approximately 28%) appeared in peer-reviewed journals, one each in a book chapter and a conference proceeding, while 17 papers were shared as preprints. This suggests a balanced mix of formal and informal communication channels, with a notable emphasis on early-stage dissemination through preprints.
| Sl. No. | CC | TP | % | CT | % | H-index | CPP | RCI | YFP | YLP | IF | ORG |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Journal Articles | ||||||||||||
| 1 | J. Algebra (f.1964) | 8 | 17.4 | 46 | 13 | 51 | 5.75 | 0.75 | 2012 | 2024 | 0.9 | NL |
| 2 | J. Pure Appl. Algebra(f.1971) | 5 | 10.9 | 20 | 5.66 | 0 | 4 | 0.52 | 2011 | 2021 | 0.72 | NL |
| 3 | Adv. Math. (f.1961) | 2 | 4.35 | 77 | 21.8 | 120 | 38.5 | 5.01 | 2014 | 2023 | 1.69 | NL |
| 4 | J. Algebra Appl.(f.2008) | 2 | 4.35 | 32 | 9.07 | 32 | 16 | 2.08 | 2015 | 2015 | 0.74 | USA |
| 5 | J. Commut. Algebra(f.2009) | 2 | 4.35 | 14 | 3.97 | 16 | 7 | 0.91 | 2018 | 2021 | 0.3 | USA |
| 6 | Compos. Math.(f.1935) | 1 | 2.17 | 0 | 0 | 61 | 0 | 0 | 2014 | 2014 | 1.46 | UK |
| 7 | Indian J. Pure Appl. Math. (f.1970) | 1 | 2.17 | 28 | 7.93 | 40 | 28 | 3.65 | 2015 | 2015 | 0.4 | India |
| 8 | Invent.Math. (f.1966) | 1 | 2.17 | 97 | 27.5 | 118 | 97 | 12.7 | 2014 | 2014 | 2.95 | GRM |
| 9 | Nagoya Math.J.(f.1950) | 1 | 2.17 | 3 | 0.85 | 33 | 3 | 0.39 | 2020 | 2020 | 0.8 | UK |
| 10 | Not. Am. Math. Soc. (f.1953) | 1 | 2.17 | 1 | 0.28 | 36 | 1 | 0.13 | 2023 | 2023 | 0.25 | USA |
| 11 | Trans. Amer. Math. Soc (f.1900) | 1 | 2.17 | 14 | 3.97 | 108 | 14 | 1.83 | 2017 | 2017 | 1.2 | USA |
| Book Chapter | ||||||||||||
| 12 | In: Ambily, A., Hazrat, R., Sury, B. (eds) Leavitt Path Algebra & Classical K-Theory. ISI Series. | 1 | 2.17 | 0 | 0 | 0 | 0 | 0 | 2020 | 2020 | SGP | |
| Conference Paper | ||||||||||||
| 13 | Proc. ICM held on 2022 July 6–14; ed. by D. Beliaev and S. Smirnov. | 1 | 2.17 | 10 | 2.83 | 0 | 0 | 1.3 | 2022 | 2022 | GRM | |
| 14 | Algebra Trans. Gr. MVA, at 6th May 2024 | 1 | 2.17 | 0 | 0 | 0 | 0 | 0 | 2024 | 2024 | SJL | |
| 15 | JMM 2025 held on 8 Jan – 11 Jan in Seattle, WA, USA. | 1 | 2.17 | 0 | 0 | 0 | 0 | 0 | 2025 | 2025 | USA | |
| Preprints | ||||||||||||
| 16 | arXiv preprint, e-print ACU | 17 | 37 | 11 | 3.12 | 0 | 0 | 0.08 | 2012 | 2024 | USA | |
| TL | 46 | 100 | 353 | 100 |
Publication Concentration (PBC)
PBC is percentage of (the ratio of the Communication Channels (CC) consisting half of the papers to the total number of CC). Here, PBC = (9/16) x 100 = 56.25
Publication Density (PD)
PD is the ratio of the total number of papers published to the total number of channels. Here, PD =46/16= 2.88.
Relative Growth Rate (ReGR) and Doubling Time (Dt)
Table 7 outlines the Relative Growth Rate (ReGR), Doubling Time (Dt), and percentage growth in Neena’s publications from 2011 to 2025 (Sawale and Mete, 2021; Jain and Meera., 2022). Figure 2 is showing graphically inverse relationship between ReGR and Dt.
| Year | RP | Cum. RP | W1 | W2 | ReGR | Mean ReGR | Dt = 0.693/ReGR | Mean Dt | % of PG |
|---|---|---|---|---|---|---|---|---|---|
| 2011 | 1 | 1 | 0 | 0 | 0.536 | 0 | 1.2 | 0 | |
| 2012 | 3 | 4 | 0 | 1.386 | 1.386 | 0.5 | 200 | ||
| 2013 | 1 | 5 | 1.386 | 1.609 | 0.223 | 3.107 | -67 | ||
| 2014 | 5 | 10 | 1.609 | 2.304 | 0.695 | 0.319 | 0.997 | 1.217 | 400 |
| 2015 | 3 | 13 | 2.304 | 2.565 | 0.261 | 2.655 | -40 | ||
| 2016 | 0 | 13 | 2.565 | 2.565 | 0 | 0 | 0 | ||
| 2017 | 3 | 16 | 2.565 | 2.773 | 0.208 | 0.19 | 3.332 | 3.823 | 0 |
| 2018 | 4 | 20 | 2.773 | 2.998 | 0.225 | 3.08 | 25 | ||
| 2019 | 3 | 23 | 2.998 | 3.135 | 0.137 | 5.058 | -25 | ||
| 2020 | 5 | 28 | 3.135 | 3.332 | 0.197 | 0.121 | 3.518 | 7.104 | 67 |
| 2021 | 3 | 31 | 3.332 | 3.434 | 0.102 | 6.794 | -40 | ||
| 2022 | 2 | 33 | 3.434 | 3.497 | 0.063 | 11 | -33 | ||
| 2023 | 6 | 39 | 3.497 | 3.664 | 0.167 | 0.111 | 4.149 | 13.498 | 200 |
| 2024 | 6 | 45 | 3.664 | 3.807 | 0.143 | 4.846 | 0 | ||
| 2025 | 1 | 46 | 3.807 | 3.829 | 0.022 | 31.5 | 0 |
Top Ranking Scholarly Publications of Dr Neena Gupta
Table 8 presents the top 11 papers ranked by total citation count and Citation Growth Rate (CGR) (Figure 3). The data highlights that all listed papers have received mega-citations-defined as 10 or more citations-indicating substantial academic impact.
| Rank | Title of papers | Communication channels | Citations (TC) | AoP (2024) | CGR =TC/AoP |
|---|---|---|---|---|---|
| 1 | On the cancellation problem for the affine space in characteristic p | Inventionesmathematicae (2014) | 97 | 10 | 9.7 |
| 2 | On Zariski's cancellation problem in positive characteristic | Advances in Mathematics (2014) | 68 | 10 | 6.8 |
| 3 | On the family of affine three folds | Compositio Mathematica (2014) | 35 | 10 | 3.5 |
| 4 | A survey on Zariski cancellation problem | Indian Journal of Pure and Applied Mathematics (2015) | 28 | 9 | 3.11 |
| 5 | The epimorphism theorem and its generalizations | Journal of Algebra and its Applications (2015) | 17 | 9 | 1.89 |
| 6 | A note on the cancellation property of k [X, Y] | Journal of Algebra and its Applications (2015) | 15 | 9 | 1.6 |
| 7 | On double Danielewski surfaces and the cancellation problem | Journal of Algebra (2019) | 14 | 5 | 2.8 |
| 8 | Some 𝐾-theoretic properties of the kernel of a locally nilpotent derivation on 𝑘 [𝑋₁,…, 𝑋₄] | Transactions of the American Mathematical Society (2017) | 14 | 7 | 2 |
| 9 | An algebraic characterization of the affine three space | Journal of Commutative Algebra (2021) | 12 | 3 | 4 |
| 10 | On generalised Danielewski and Asanuma varieties | Journal of Algebra (2023) | 11 | 1 | 11 |
| 11 | The Zariski cancellation problem and related problems in affine algebraic geometry | Proc. Int. Cong. Math (2022) | 10 | 2 | 5 |
Discussion
Dr. Neena’s research shows a clear pattern of early initiation and sustained scholarly growth. Her first research paper was published in 2011, when she was only 27 years old, indicating an early entry into academic research. This early start justifies her recognition as a young researcher and scientist, and her consistent contributions to algebra have earned her the title “Queen of Algebra.” An important indicator of her independent research capability is that 11 of her publications are single-authored, demonstrating strong individual scholarly competence without reliance on collaboration. A chronological analysis of her publications reveals that her highest research output occurred during 2023 and 2024, with a total of six papers, corresponding to the age range of approximately 39 to 45 years. This phase represents the peak of her research productivity, reflecting academic maturity and deep expertise. The second-highest productivity was observed in 2014 and 2020, with five publications each, indicating consistent research engagement across different stages of her career. From a collaboration perspective, the Degree of Collaboration (DC) shows notable results. The highest DC value recorded is 1, indicating complete collaborative research in certain years. The overall DC value of 0.76 suggests that a significant proportion of her research work is collaborative, while still maintaining a substantial level of independent authorship. This balance highlights her ability to contribute both individually and as part of research teams. Overall, the bibliometric indicators reflect Dr. Neena as a productive, influential, and versatile researcher, with strong independent scholarship, increasing research intensity over time, and a healthy collaborative approach-hallmark of an accomplished scientist in the field of algebra.
She has contributed 35 collaborative papers and 11 single single-authored papers during productive career of 15 years. Of them, 21 two-authored papers have published in the time span of 13 years and 12 three-authored papers appeared in the time span of 13 years; only 2 four-authored papers published in the time span of 3 years. From beginning, there was predominance of multi-authored papers during 2011-2025.
The position of researcher in the author by-line has become an important area of study in bibliometric analysis. She is listed as the first author in 08 papers, and as second author in 25 indicating significant intellectual leadership in those works. She is credited as the fourth author in 2 papers only.
Out of a total of 46 publications, 11 papers are single-authored, while the remaining works involve varying degrees of multi-authorship, indicating a balanced mix of individual and collaborative research.
CC values range from 0.00 to 0.63, showing noticeable variation over the years. Years such as 2013 and 2025 recorded a CC value of 0.00, reflecting complete dominance of single-authored publications. In contrast, higher CC values were observed in 2020 (0.63), 2019 and 2021 (0.58 each), and 2018 (0.58), indicating stronger collaborative research during these periods. The overall CC value of 0.43 suggests a moderate level of collaboration in her research output.CI, which measures the average number of authors per paper, varies between 1.00 and 2.80. The lowest CI value of 1.00 in 2013 and 2025 again confirms the presence of single-authored works, while the highest CI value of 2.80 in 2020 reflects the highest level of joint authorship. The overall CI value of 2.11 indicates that, on average, more than two authors contributed to each publication MCC ranges from 0.00 to 0.87, with the highest values recorded in 2019 and 2021 (0.87 each), signifying strong collaborative intensity. The overall MCC value of 0.44 further supports the conclusion that collaboration plays a significant, though not dominant, role in Dr. Neena’s research activities. In summary, the data reveal a progressive increase in collaborative research over time, particularly after 2017, while still maintaining a notable contribution of single-authored publications. This pattern highlights Dr. Neena’s ability to balance independent scholarships with effective research collaboration, strengthening both the quality and impact of her academic contributions.
Amartya Kumar Dutta and Parnashree Ghosh are her closest collaborators, each having co-authored 9 papers with her. Next is Nikhilesh Dasgupta, with 6 joint publications, followed by Ananya Pal with 5. Two other collaborators, S. M. Bhatwadekar and Sourav Sen, have each co-authored 4 papers with Dr. Neena, placing them in fourth position. Animesh Lahiri and Nobuharu Onoda have worked with her on 3 papers each, while Dhvanita R. Rao and Sagnik Chakraborty have co-authored 2 papers each. Lastly, three collaborators have published only one paper each with her.
Looking at the time taken to publish, the first co-author (Amartya Kumar Dutta) published 9 papers over 9 years (2012–2020), averaging 1 paper per year. The second co-author (Parnashree Ghosh) published the same number of papers (9) in just 3 years (2022–2024), averaging 3 papers per year. The third collaborator (Nikhilesh Dasgupta) co-authored 6 papers over 5 years, averaging about 1 paper per year. The fourth collaborator (Ananya Pal) published 5 papers in just one year. The trend continues similarly for other collaborators.
The choice of publication venues highlights the high quality and impact of the researcher’s work. Out of the 16 journals used, four are particularly notable for their strong academic standing, as reflected in their h-index, Citation Per Paper (CPP), and Relative Citation Impact (RCI): Advances in Mathematics (h-index: 120, CPP: 38.50, RCI: 5.01), Inventiones Mathematicae (h-index: 118, CPP: 9, RCI: 12.70), Transactions of the American Mathematical Society (h-index: 108, CCP: 14, RCI: 1.83), and Journal of Algebra (h-index: 51, CPP: 5.75, RCI: 0.75). Additionally, several papers appeared in journals with high impact factors, such as Inventiones Mathematicae (IF: 2.95), Advances in Mathematics (IF: 1.69), Compositio Mathematica (IF: 1.46), and Transactions of the American Mathematical Society (IF: 1.20). These publication metrics collectively reflect the researcher’s ability to contribute to top-tier journals that maintain rigorous peer-review standards and wide academic influence.
The global reach of the researcher’s work is particularly evident, with 45 out of 46 papers published in international journals. The majority of these are based in the USA (24 papers) and the Netherlands (15 papers), with additional contributions appearing in Germany, the UK, Singapore, and Switzerland. Only one paper was published in an Indian journal. This distribution underscores the researcher’s strong international visibility and engagement, especially within leading academic networks in the US and Europe.
The ReGR values fluctuate between 0.022 and 1.386, indicating varying publication growth across the years. An inverse relationship between ReGR and Doubling Time is evident-lower growth rates correspond to longer doubling periods, reflecting slower expansion of research output.
Notable publication surges are observed during 2011–2012 and 2013–2014, with growth rates of 200% and 400% respectively, and again during 2022–2023 (200%), suggesting phases of intensified research activity possibly driven by collaborations or new research directions. Block-wise analysis shows a steady rise in mean ReGR over time, culminating in a sharp increase in the final block, indicating enhanced and sustained research productivity. Overall, the trend reflects early bursts in output followed by a more stable and mature growth pattern in Dr. Gupta’s scholarly contributions.
The most cited paper “On the cancellation problem for the affine space in characteristic p”, published 10 years ago, has garnered the highest 97 citations, resulting in a CGR of 9.7. In contrast, the most recent paper, just 1 year old, has already accumulated 11 citations, with a CGR of 11.
Overall, CGR values for these top papers range from 2 to 11, reflecting varying but consistently strong citation momentum. A higher CGR suggests a faster rate of influence relative to the paper’s age. This trend demonstrates not only sustained interest in the author’s earlier works but also a promising citation trajectory for her more recent publications.
CONCLUSION
This bibliometric analysis of Dr. Neena Gupta’s scholarly output from 2011 to 2025 provides a clear, data-supported picture of her sustained and high-impact contribution to mathematical sciences. Based on 46 publications collected from ResearchGate, Google Scholar, and official sources, the study demonstrates both the depth and consistency of her research career over a 15-year period. Her work is characterized by a strong presence in internationally reputed journals, notably the Journal of Algebra and the Journal of Pure and Applied Algebra, underscoring the global relevance and quality of her research.
Dr. Gupta’s authorship pattern reveals a balanced research profile, with 11 single-authored papers reflecting independent scholarships and 8 first-authored collaborative works highlighting leadership in joint research. Her collaboration network is well-defined, particularly with Amartya Kumar Dutta and Parnashree Ghosh, each contributing to nine co-authored papers, indicating long-term, productive research partnerships. The calculated bibliometric indicators-Degree of Collaboration (0.76), Collaboration Coefficient (0.43), Collaboration Index (2.11), and Modified Collaboration Coefficient (0.44)-collectively point to a healthy mix of solo and collaborative research activity.
Productivity trends show a steady rise, with peak publication output in 2023 and 2024 (six papers each year), reflecting continued research momentum well into the later stages of the study period. Growth indicators such as the Relative Growth Rate (ReGR) and its inverse relationship with Doubling Time further confirm a dynamic and expanding research trajectory.
Citation analysis highlights the significant scholarly impact of her work. Her landmark 2014 paper-linked to her solution of a version of the Zariski Cancellation Problem in positive characteristic-has received 97 citations, while her most recent paper has already accrued 11 citations within a year, indicating immediate relevance and visibility. These citation patterns demonstrate both long-term influence and current research vitality.
In summary, the bibliometric evidence firmly establishes Dr. Neena Gupta of ISI Kolkata as a leading mathematician of her generation. Her internationally acclaimed solution to a decades-old problem, combined with strong publication metrics, impactful collaborations, and prestigious recognition such as the Infosys Prize in Mathematical Sciences (2024), positions her as an influential figure in modern algebraic geometry. Beyond quantitative measures, her career serves as a powerful source of inspiration-particularly for women in STEM-and exemplifies how sustained excellence, originality, and collaboration contribute to lasting scientific impact.
