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The Top 100

Researchers active on Goldbach and adjacent problems

Table Details

arXiv rank, OA rank, and zbMATH rank are the researcher's position in the full composite score for each of three pipelines. For arXiv and OpenAlex a keyword match in a paper title counts at full weight and an abstract-only mention at half (A=0.5), so papers that only cite Goldbach in passing are discounted; each composite is then 60% weighted paper count + 40% network or citation signal, over arXiv (137 qualifying authors across 17 search terms) and OpenAlex (572 authors across 13 phrase queries). zbMATH (495 authors) uses the three Goldbach-core MSC classes 11P32, 11P55 and 11N36. The overall rank combines the three with a weighted order statistic, 70/20/10 on each researcher's best, middle and worst of the three ranks, so lower is better in every column and a single dominant Goldbach pipeline can carry a researcher (the top weight only ever lands on a measured rank). A value in [square brackets] is interpolated: the researcher did not appear in that pipeline directly, so their rank there is estimated from their position in the others. See the methodology for how. A dash means no estimate was possible.

RankNameInstitutionCountryarXiv rankOA rankzbMATH rankh-indexSourceFirst yearLast year
1Janos PintzAlfréd Rényi Institute of MathematicsHU2[116]126arx+zb19851985
2Igor E. ShparlinskiUNSW SydneyAU129[54]42arx+oa20002015
3Trevor D. WooleyPurdue University West LafayetteUS11101228all_three19902026
4D. A. GoldstonSan Jose State UniversityUS3[116]1021arx+zb19902023
5Jörg BrüdernUniversity of GöttingenDE[30]140219oa+zb19912024
6Jianya LiuShandong UniversityCN[36][122]314zb_only20072026
7Tianze WangHenan Academy of SciencesCN[36][122]42zb_only20212021
8Terence TaoUniversity of California, Los AngelesUS96550101all_three20252025
9R. C. VaughanPennsylvania State UniversityUS[36][122]535zb_only19732022
10Angel KumchevTowson UniversityUS14[109]2012arx+zb20232023
11Jinjiang LiChina University of Mining and Technology (Beijing)CN6[96][62]6arxiv_only20162026
12Min ZhangBeijing Information Science and Technology UniversityCN7[96][61]44arxiv_only20162026
13Stephan BaierRamakrishna Mission Vivekananda Educational and Research InstituteIN8[96][58]14arxiv_only20042024
14Joni TeräväinenUniversity of CambridgeGB4133[56]9arx+oa20212021
15Alessandro ZaccagniniUniversity of ParmaIT15[109]3014arx+zb20072026
16V. N. ChubarikovLomonosov Moscow State UniversityRU[39][122]11-zb_only--
17Jared Duker LichtmanStanford UniversityUS10[96][58]4arxiv_only20252025
18Will SawinPrinceton UniversityUS2431[54]10arx+oa20182018
19Jan MoserComenius University BratislavaSK11[96][58]10arxiv_only20152015
20Alessandro LanguascoUniversity of PaduaIT20[109]2312arx+zb19942024
21Alberto PerelliUniversity of GenoaIT[46][122]1520zb_only20082008
22Kaisa MatomäkiUniversity of TurkuFI13[109]6116arx+zb20202020
23Mark ShustermanUniversity of Wisconsin-MadisonUS[24]32[50]4oa_only20182022
24S. I. DimitrovSofia University "St. Kliment Ohridski"BG17[96][58]6arxiv_only20172025
25William D. BanksUniversity of MissouriUS18[96][58]21arxiv_only20242024
26James MaynardUniversity of OxfordGB19[96][58]11arxiv_only20122025
27Xuancheng ShaoUniversity of KentuckyUS51329210all_three20202021
28Alexander P. MangerelDurham UniversityGB21[96][58]6arxiv_only20182018
29Zhefeng XuNorthwest UniversityCN[18]39[50]8oa_only20222024
30Glyn HarmanRoyal Holloway University of LondonGB[46][122]2119zb_only19911991
31Karin HalupczokHeinrich Heine University DüsseldorfDE22[96][58]5arxiv_only20052021
32Tao ZhanSouthwest UniversityCN[46][122]2217zb_only19932006
33Ben GreenUniversity of OxfordGB16[109]7532arx+zb20042025
34Pan, ChengdongShandong UniversityCN[46][122]25-zb_only--
35Kevin FordUniversity of Illinois Urbana-ChampaignUS26[96][58]-arxiv_only20042024
36András SárközyEötvös Loránd UniversityHU[46][122]2731zb_only19882023
37Doychin TolevSofia University "St. Kliment Ohridski"BG27[109]5510arx+zb19982017
38Gautami BhowmikUniversité de LilleFR29[109]529arx+zb20082024
39Matteo BordignonKTH Royal Institute of TechnologySE31[96][58]13arxiv_only20182022
40Jori MerikoskiUniversity of OxfordGB32[96][58]2arxiv_only20202024
41Andrew GranvilleUniversité de MontréalCA30[109]6332arx+zb20002000
42H. J. WeberUniversity of VirginiaUS34[96][58]-arxiv_only20112012
43Shuntaro YamagishiInstitute of Science and Technology AustriaAT5741[53]5arx+oa20182025
44H. A. HelfgottUniversité Paris CitéFR33[109]5619arx+zb20182018
45Yong-Gao ChenNanjing Normal UniversityCN[46][122]35-zb_only--
46Alexandru ZaharescuUniversity of Illinois Urbana-ChampaignUS35[96][61]24arxiv_only20122012
47Hongze LiShanghai Jiao Tong UniversityCN66[116]31-arx+zb20072019
48Chaohua JiaAcademy of Mathematics and Systems Science, Chinese Academy of SciencesCN[46][122]3611zb_only19952020
49Tim BrowningInstitute of Science and Technology AustriaAT23200[54]19arx+oa20052025
50Daniel R. JohnstonAustralian National UniversityAU36[96][61]4arxiv_only20212026
51G. I. ArkhipovSteklov Institute of MathematicsRU[46][122]37-zb_only--
52Bryce KerrUNSW SydneyAU37[96][61]7arxiv_only20172025
53Hugh Lowell MontgomeryUniversity of MichiganUS[46][122]3832zb_only19712026
54Lasse GrimmeltUniversity of OxfordGB38[96][61]2arxiv_only20182024
55Hao PanNanjing University of Finance and EconomicsCN28[109]9017arx+zb20072025
56Marek WolfUniversity of WrocławPL41[96][58]11arxiv_only20012011
57Kevin HughesEdinburgh Napier UniversityGB42[96][58]8arxiv_only20152021
58Victor Z. GuoXi'an Jiaotong UniversityCN43[96][58]4arxiv_only20172026
59Greg MartinUniversity of British ColumbiaCA44[96][58]16arxiv_only19982025
60Jan-Christoph Schlage-PuchtaUniversity of RostockDE[46][122]4411zb_only20082019
61Akshat MudgalUniversity of BristolGB45[96][58]3arxiv_only20202023
62Helmut MaierUniversität UlmDE64[116]4118arx+zb20062006
63Koichi KawadaIwate UniversityJP[46][122]469zb_only19932019
64Jesse ThornerUniversity of Illinois Urbana-ChampaignUS47[96][58]9arxiv_only20132025
65Jean‐Marc DeshouillersCentre National de la Recherche ScientifiqueFR[46][122]4716zb_only20122012
66Adrian DudekThe University of QueenslandAU48[96][58]5arxiv_only20142025
67Kai-Man TsangUniversity of Hong KongHK[46][122]488zb_only19822017
68Matt VisserVictoria University of WellingtonNZ49[96][58]-arxiv_only19812026
69Chantal DavidConcordia UniversityCA50[96][58]14arxiv_only20102010
70K. SoundararajanStanford UniversityUS51[96][58]33arxiv_only20062026
71Cameron L. StewartUniversity of WaterlooCA[46][122]5120zb_only19912001
72Stephan Ramon GarciaPomona CollegeUS52[96][58]27arxiv_only20112024
73Emmanuel KowalskiCCI Reprographics (United States)US53[96][58]29arxiv_only20002012
74Ade Irma SuriajayaKyushu UniversityJP46[109]794arx+zb20212025
75Roger C. BakerBrigham Young UniversityUS55[109]5334arx+zb20172017
76Ofir GorodetskyTechnion - Israel Institute of TechnologyIL54[96][58]5arxiv_only20182024
77Akio FujiiRikkyo UniversityJP[46][122]5414zb_only19682018
78Zhi-Wei SunNanjing UniversityCN157[116]2931arx+zb20122014
79John B. FriedlanderUniversity of TorontoCA107[98]4234arx+zb20092009
80J. P. KeatingUniversity of OxfordGB56[96][58]40arxiv_only20042004
81Li MaSun Yat-sen UniversityCN[18]74[50]22oa_only20042016
82Henryk IwaniecRutgers UniversityUS108[98]4350arx+zb19752010
83Christian ElsholtzGraz University of TechnologyAT[46][122]5713zb_only20012026
84Xiumin RenShandong UniversityCN[46][122]5811zb_only20222024
85Ciprian DemeterIndiana University BloomingtonUS58[110][56]15arxiv_only20142016
86Michele PiconiUniversity of PerugiaIT[18]78[50]4oa_only20242026
87Fei XueUniversité du Québec à MontréalCA59[110][56]6arxiv_only20202024
88Ping XiXi'an Jiaotong UniversityCN60[110][56]9arxiv_only20102025
89Julia BrandesChalmers University of TechnologySE61[110][56]4arxiv_only20122024
90Leo GoldmakherWilliams CollegeUS62[110][56]5arxiv_only20092025
91H. J. J. te RieleCentrum Wiskunde & InformaticaNL[46][122]64-zb_only--
92Jiseong KimSogang UniversityKR63[110][56]20arxiv_only20202025
93Antal BalogBaltazar Zaprešić University of Applied SciencesHR[46][122]6518zb_only19852013
94Tikao TatuzawaSaitama UniversityJP[46][122]67-zb_only--
95Imre Z. RuzsaAlfréd Rényi Institute of MathematicsHU140[116]4533arx+zb20032026
96Dieter WolkeUniversity of FreiburgDE[46][122]68-zb_only--
97Alexei KourbatovAllscripts (United States)US67[110][56]4arxiv_only20142015
98P. F. KellyTexas A&M UniversityUS68[110][56]-arxiv_only20012001
99Weiping Li-CN[46][122]70-zb_only--
100Terry PillingNANA69[110][56]2arxiv_only20012001

Source column legend

The Source column records which of the three pipelines ranked each researcher directly. Where a pipeline did not rank someone, the rank shown for that pipeline is an interpolated estimate (in [square brackets]).

SourceCount
arxiv_only41
zb_only26
arx+zb20
arx+oa5
oa_only4
all_three3
oa+zb1

Limitations

This list reflects publication output and citation network density, not subjective importance. A starting point, not a verdict.