Manjul Bhargava

2.5k total citations
51 papers, 833 citations indexed

About

Manjul Bhargava is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Manjul Bhargava has authored 51 papers receiving a total of 833 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Geometry and Topology, 25 papers in Mathematical Physics and 25 papers in Algebra and Number Theory. Recurrent topics in Manjul Bhargava's work include Algebraic Geometry and Number Theory (22 papers), Advanced Algebra and Geometry (18 papers) and Analytic Number Theory Research (16 papers). Manjul Bhargava is often cited by papers focused on Algebraic Geometry and Number Theory (22 papers), Advanced Algebra and Geometry (18 papers) and Analytic Number Theory Research (16 papers). Manjul Bhargava collaborates with scholars based in United States, United Kingdom and Germany. Manjul Bhargava's co-authors include K. Schubert, Arul Shankar, Jacob Tsimerman, Xiaoheng Wang, Michael E. Zieve, Melanie Matchett Wood, Tom Fisher, J. E. Cremona, Carl Pomerance and M. Ellner and has published in prestigious journals such as SHILAP Revista de lepidopterología, Annals of Mathematics and Inventiones mathematicae.

In The Last Decade

Manjul Bhargava

48 papers receiving 735 citations

Peers

Manjul Bhargava

ANT

DMC

Chih-Han Sah United States

Eric M. Friedlander United States

Ravi S. Kulkarni United States

Mihai Ciucu United States

Martine Queffélec France

Howard L. Hiller United States

P. A. B. Pleasants Australia

Daniel Lenz Germany

A. Horzela Poland

Jochen Brüning Germany

Chih-Han Sah United States

Manjul Bhargava

474 ×0.9

230 ×0.5

ANT

350 ×1.0

227 ×1.4

DMC

68 ×0.5

Citations per year, relative to Manjul Bhargava Manjul Bhargava (= 1×) peers Chih-Han Sah

Countries citing papers authored by Manjul Bhargava

Since Specialization

Citations

This map shows the geographic impact of Manjul Bhargava's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Manjul Bhargava with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Manjul Bhargava more than expected).

Fields of papers citing papers by Manjul Bhargava

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Manjul Bhargava. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Manjul Bhargava. The network helps show where Manjul Bhargava may publish in the future.

Co-authorship network of co-authors of Manjul Bhargava

This figure shows the co-authorship network connecting the top 25 collaborators of Manjul Bhargava. A scholar is included among the top collaborators of Manjul Bhargava based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Manjul Bhargava. Manjul Bhargava is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Bhargava, Manjul, Arul Shankar, & Xiaoheng Wang. (2025). Squarefree values of polynomial discriminants II. SHILAP Revista de lepidopterología. 13.

Bhargava, Manjul. (2025). Galois groups of random integer polynomials and van der Waerden's Conjecture. Annals of Mathematics. 201(2). 1 indexed citations

Bhargava, Manjul, et al.. (2024). A positive proportion of cubic fields are not monogenic yet have no local obstruction to being so. Mathematische Annalen. 391(4). 5535–5551.

Bhargava, Manjul, et al.. (2023). Hermite equivalence of polynomials. Acta Arithmetica. 209. 17–58. 1 indexed citations

Bhargava, Manjul, et al.. (2023). A positive proportion of quartic fields are not monogenic yet have no local obstruction to being so. Mathematische Annalen. 388(4). 4037–4052. 1 indexed citations

Bhargava, Manjul, Arul Shankar, & Xiaoheng Wang. (2022). An improvement on Schmidt’s bound on the number of number fields of bounded discriminant and small degree. Forum of Mathematics Sigma. 10. 1 indexed citations

Bhargava, Manjul, et al.. (2020). Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. Journal of the American Mathematical Society. 33(4). 1087–1099. 13 indexed citations

Bhargava, Manjul, et al.. (2019). The average size of the 3‐isogeny Selmer groups of elliptic curves y2=x3+k. Journal of the London Mathematical Society. 101(1). 299–327. 13 indexed citations

Bhargava, Manjul, Benedict H. Gross, & Xiaoheng Wang. (2016). A positive proportion of locally soluble hyperelliptic curves over ℚ have no point over any odd degree extension. Journal of the American Mathematical Society. 30(2). 451–493. 18 indexed citations

10.

Bhargava, Manjul, J. E. Cremona, Tom Fisher, Nick G. Jones, & Jonathan P. Keating. (2015). What is the Probability that a Random Integral Quadratic Form innVariables has an Integral Zero?. International Mathematics Research Notices. 2016(12). 3828–3848. 13 indexed citations

11.

Bhargava, Manjul, Arul Shankar, & Jacob Tsimerman. (2012). On the Davenport–Heilbronn theorems and second order terms. Inventiones mathematicae. 193(2). 439–499. 41 indexed citations

12.

Bhargava, Manjul, et al.. (2009). Finite generation properties for various rings of integer-valued polynomials. Journal of Algebra. 322(4). 1129–1150. 8 indexed citations

13.

Bhargava, Manjul & Melanie Matchett Wood. (2007). The density of discriminants of 𝑆₃-sextic number fields. Proceedings of the American Mathematical Society. 136(5). 1581–1587. 16 indexed citations

14.

Bhargava, Manjul. (2007). Mass Formulae for Extensions of Local Fields, and Conjectures on the Density of Number Field Discriminants. International Mathematics Research Notices. 2007. 42 indexed citations

15.

Bhargava, Manjul. (2004). Higher composition laws II: On cubic analogues of Gauss composition. Annals of Mathematics. 159(2). 865–886. 28 indexed citations

16.

Bhargava, Manjul. (2004). Higher composition laws I: A new view on Gauss composition, and quadratic generalizations. Annals of Mathematics. 159(1). 217–250. 47 indexed citations

17.

Bhargava, Manjul & Michael E. Zieve. (1999). Factoring Dickson Polynomials over Finite Fields. Finite Fields and Their Applications. 5(2). 103–111. 19 indexed citations

18.

Bhargava, Manjul. (1998). Generalized Factorials and Fixed Divisors over Subsets of a Dedekind Domain. Journal of Number Theory. 72(1). 67–75. 19 indexed citations

19.

Bhargava, Manjul. (1997). Congruence preservation and polynomial functions from Zn to Zm. Discrete Mathematics. 173(1-3). 15–21. 8 indexed citations

20.

Ellner, M., Stephanie Heinrich, Manjul Bhargava, & K. Schubert. (1979). Einige strukturelle untersuchungen in der mischung NiSiN. Journal of the Less Common Metals. 66(2). 163–173. 23 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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