Who's Who in abc Conjecture Research

The Top 100

Researchers active on abc conjecture and adjacent problems

The list is sortable on any column. Type in the search box to filter by name, institution, or country. Click any name for that researcher's profile page.

This page shows the 100 highest-ranked living researchers, renumbered 1 to 100. Researchers in the ranked pool who have passed away are remembered on the In Memoriam page.

Reading the columns. arXiv rank, OA rank, and zbMATH rank are the researcher's position in the 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 the abc conjecture in passing are discounted; each composite is then 60% weighted paper count + 40% network or citation signal. zbMATH uses the MSC classes 11J25, 11D75, 11J87. 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. A value in [square brackets] is an interpolated estimate (see below); a plain number is measured. See the methodology for details.

RankNameInstitutionCountryarXiv rankOA rankzbMATH rankh-indexSourceFirst yearLast year
1István GaálUniversity of DebrecenHU214319all_three19882021
2shifa liuPeking UniversityCN[28]2[25]oa_only20252025
3Florian LucaStellenbosch UniversityZA[39]13428oa+zb20022019
4Shabnam AkhtariPennsylvania State UniversityUS4[23]24arx+zb20092022
5Christopher Pompetzki[28]3[25]oa_only20262026
6Lukas Cain[28]4[25]oa_only20252025
7Kálmán GyőryUniversity of DebrecenHU17[23]824arx+zb20052005
8Nikos TzanakisUniversity of CreteGR[28]5[25]23oa_only19911994
9Rosales, J. C.[46][31]1zb_only--
10László RemeteUniversity of DebrecenHU5[24][35]5arxiv_only20162016
11Michael PohstTechnische Universität BerlinDE[28]6[25]24oa_only20002011
12Hector PastenPontificia Universidad Católica de ChileCL1[24]668arx+zb20162016
13Tobias HilgartUniversity of SalzburgAT6[24][35]arxiv_only20212024
14Nigel P. SmartCzech Academy of Sciences, Institute of MathematicsCZ[28]7[25]62oa_only19961998
15Ariyan JavanpeykarJohannes Gutenberg University MainzDE7[24][35]11arxiv_only20192019
16Brüdern, JörgUniversity of GöttingenDE[26][22]9zb_only19912024
17Bugeaud, Yann[50][31]3zb_only20142014
18Vlasie Catalin Mircea[28]8[25]oa_only20252026
19Jan-Hendrik EvertseLeiden UniversityNL64[30]2arx+zb20112018
20Ingrid VukusicUniversity of SalzburgAT8[24][35]arxiv_only20212025
21Vaaler, Jeffrey D.[26][22]10zb_only--
22Li, Weiping[50][28]5zb_only20082024
23Mei Shenglin梅生林[28]9[25]oa_only20262026
24Volker ZieglerUniversity of SalzburgAT11[23]2112arx+zb20052005
25Wang, TianzeLuoyang Normal UniversityCN[26][22]11zb_only20212021
26Forrest Forrest M. Anderson[28]10[25]oa_only20252025
27Umberto ZannierScuola Normale SuperioreIT2949633all_three20142018
28Fuchs, Clemens[12][22]15zb_only20062006
29Baker, R. C.Brigham Young UniversityUS[26][22]12zb_only20172017
30Alex Shvets[28]11[25]oa_only20262026
31Pietro CorvajaUniversity of UdineIT57[25]721arx+zb20182018
32Julie Tzu-Yueh WangTianjin Polytechnic UniversityCN18[23]14arx+zb20212021
33Michael A. BennettUniversity of British ColumbiaCA9[22]5120arx+zb20162016
34Schmidt, Wolfgang M.[12][22]16zb_only19871987
35Ru, MinUniversity of HoustonUS[26][22]13zb_only20172017
36Griff gurwell[28]12[25]oa_only20262026
37Harman, G.Royal Holloway University of LondonGB[12][22]17zb_only19911991
38Cook, R. J.Queensland University of TechnologyAU[12][22]18zb_only19912006
39John VoightDartmouth CollegeUS352[50]17arx+oa20262026
40Mu, Quanwu[12][22]19zb_only--
41Dimitrov, Stoyan IvanovSofia University "St. Kliment Ohridski"BG[12][22]20zb_only20172025
42Amos TurchetRoma Tre UniversityIT10[24][73]arxiv_only20132021
43Hartmut MonienCenter for Theoretical PhysicsPL2414[54]arx+oa20172022
44Vaughan, R. C.Pennsylvania State UniversityUS[14][22]22zb_only19732022
45Wooley, Trevor D.Purdue University West LafayetteUS[14][22]23zb_only19902026
46Raimundas VidunasVilnius UniversityLT12[24][86]15arxiv_only20242024
47Kousha EtessamiUniversity of EdinburghGB[30]15[55]37oa_only20132014
48Michel WaldschmidtSorbonne UniversityFR15[22]75arx+zb20132017
49Wade HindesTexas State UniversityUS13[24][86]arxiv_only20122025
50Alistair StewartUniversity of EdinburghGB[30]16[55]oa_only20142014
51Akinari HoshiWaseda UniversityJP16[24][73]12arxiv_only20052006
52Mihalis YannakakisColumbia International UniversityUS[30]17[55]86oa_only20132014
53Aaron LevinMichigan State UniversityUS23[29]25arx+zb20062024
54Paul C. BellKeele UniversityGB[30]18[55]10oa_only20192021
55Ge, WenxuNorth China University of Water Resources and Electric PowerCN[22][22]26zb_only20162020
56Igor PotapovUniversity of LiverpoolGB[30]19[55]15oa_only20192021
57Pavel SemukhinLiverpool John Moores UniversityGB[30]20[55]9oa_only20192021
58Urbano-Blanco, J. M.[22][22]27zb_only--
59Jiyoong KimSogang UniversityKR[30]21[55]oa_only20112011
60Irene I. BouwUlm UniversityDE20[36][56]arxiv_only20082018
61Abdelmajid Ben Hadj SalemCalifornia Maritime AcademyUS[30]22[55]1oa_only20192020
62German, Oleg N.[23][25]29zb_only--
63Ozlem EjderBogazici UniversityTR21[36][56]arxiv_only20172022
64C. L. StewartUniversity of WaterlooCA582328all_three19912001
65Dani, S. G.[23][25]30zb_only--
66Yang-Hui HeLondon Institute for Mathematical SciencesGB22[36][56]arxiv_only20092026
67Isao WakabayashiSeikei UniversityJP[20]27546oa+zb20022006
68Jose Arnaldo B. Dris[23][25]31zb_only--
69Si Duc Quang[23][25]32zb_only--
70Igor E. ShparlinskiUNSW SydneyAU193010442all_three20002015
71Thunder, Jeffrey Lin[23][25]33zb_only20152015
72Baier, StephanRamakrishna Mission Vivekananda Educational and Research InstituteIN[23][25]34zb_only20042024
73Paul VojtaUniversity of California BerkeleyUS25[28]80arx+zb19982025
74Freeman, D. Eric[23][25]35zb_only--
75Dominik BarthUniversity of WürzburgDE26[34][68]arxiv_only20172017
76Liu, HuafengOregon State UniversityUS[23][25]36zb_only20192019
77Andreas WenzUniversity of WürzburgDE27[34][68]arxiv_only20172017
78Wang, Yuchao[23][25]37zb_only20262026
79Michelle ManesUniversity of HawaiiUS28[34][68]arxiv_only20172019
80David BerghausFraunhofer Institute for Intelligent Analysis and Information SystemsDE[31]31[55]3oa_only20222023
81Kumar, Veekesh[23][25]38zb_only20202020
82Andrew R. BookerUniversity of BristolGB[34]28[76]oa_only20052026
83Danylo RadchenkoUniversité de LilleFR[31]32[55]7oa_only20222023
84Claude LevesqueLaval UniversityCA14[24]196arx+zb20132017
85Kovalevskaya, È. I.[23][25]39zb_only--
86Alex Samuel BamunobaLira HospitalUG[31]33[55]3oa_only20142020
87Liu, Ming-Chit[23][25]40zb_only20162016
88Yu YasufukuWaseda UniversityJP32[28]76arx+zb20152026
89García-Sánchez, P. A.[23][25]41zb_only--
90Samir SiksekUniversity of WarwickGB30[34][81]arxiv_only20042023
91Victor Volfson[30]35[55]oa_only20262026
92Paulo RibenboimQueen's Medical CenterUS[34]26[111]29oa_only19992001
93Adamczewski, Boris[18][20]44zb_only20122012
94Mueller, J.[23][25]42zb_only19871987
95Maximus Shlygin[30]36[55]oa_only20262026
96van der Poorten, Alfred J.[18][20]45zb_only--
97Tsz Ho ChanPok Oi HospitalHK3429[103]8arx+oa20052024
98James Norman Ibbotson[30]37[55]oa_only20262026
99Zaharescu, Alexandru[18][20]46zb_only20122012
100A. PethöUniversity of DebrecenHU[34]2414516oa+zb19951995

Ranks shown in [square brackets] are interpolated estimates, not measured values. How interpolation works.

Source column legend

The Source column records which of the pipelines ranked each researcher directly.

SourceCount
zb_only35
oa_only27
arxiv_only15
arx+zb13
all_three4
oa+zb3
arx+oa3

Limitations

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