The Top 100

Researchers active on abc conjecture and adjacent problems

Table Details

Columns

# overall rank (lower is better)
Name the researcher
Institution current affiliation
Ctry country
aX arXiv rank
OA OpenAlex rank
zM zbMATH rank
Cit citation-influence rank: how many works in the literature on this conjecture cite them, by reference or by name
h h-index (citation impact)
Source databases that list them
YSP years since PhD (2026 minus the Math Genealogy PhD year; a dash when the PhD year is not known)

How it works. arXiv, OpenAlex and zbMATH rank a researcher by their own papers, and the Cit column ranks how often the literature cites them ; the score is the geometric mean of the Cit rank and the combined paper rank, so a researcher needs both to rank high. Researchers with work on the problem, or cited by work on it, are listed first. Recent work counts more. Lower is better. Click any header to sort. A rank in [brackets] is an estimate, not measured. Full method.

#	Name	Institution		aX	OA	zM	Cit	h	Source	YSP
1	Andrew Granville	Université de Montréal	CA	[37]	[42]	[80]	1	32	cite_only	39
2	David Masser	University of Basel	CH	[37]	[42]	[77]	3	29	cite_only	52
3	Joseph H. Silverman	Brown University	US	58	54	139	2	56	all_three	44
4	Kálmán Győry	University of Debrecen	HU	26	5	8	23	24	all_three	60
5	Paul Vojta	University of California, Berkeley	US	37	105	77	4	18	all_three	43
6	Umberto Zannier	Scuola Normale Superiore	IT	15	6	6	32	33	all_three	-
7	Cameron L. Stewart	University of Waterloo	CA	57	22	27	9	20	all_three	50
8	Joseph Oesterlé	Sorbonne University	FR	[37]	[42]	[77]	6	4	cite_only	49
9	Yann Bugeaud	University of Strasbourg	FR	[34]	42	3	25	36	oa+zb	30
10	Jan-Hendrik Evertse	Leiden University	NL	66	21	2	28	23	all_three	43
11	R. Tijdeman	Leiden University	NL	[38]	126	82	7	28	oa+zb	57
12	M. Ram Murty	Queen's University	CA	[38]	32	[71]	15	25	oa_only	46
13	Michael A. Bennett	University of British Columbia	CA	12	13	37	38	20	all_three	33
14	Noam D. Elkies	Harvard University	US	[37]	[42]	[77]	14	22	cite_only	39
15	Michel Waldschmidt	Sorbonne University	FR	19	28	70	24	23	all_three	54
16	Barry Mazur	Harvard University	US	[36]	[42]	[77]	16	48	cite_only	67
17	Enrico Bombieri	Institute for Advanced Study	US	[38]	139	75	10	42	oa+zb	63
18	Andrew Wiles	University of Oxford	GB	[36]	[42]	[77]	19	20	cite_only	47
19	Gerd Faltings	Max Planck Institute for Mathematics	DE	[36]	[42]	[80]	20	30	cite_only	48
20	Jean-Pierre Serre	Collège de France	FR	[36]	[42]	[77]	22	61	cite_only	75
21	Wolfgang M. Schmidt	University of Colorado Boulder	US	[36]	121	16	33	36	oa+zb	71
22	Walter Gubler	University of Regensburg	DE	[36]	[42]	[77]	29	15	cite_only	34
23	T. N. Shorey	National Institute of Advanced Studies	IN	[37]	31	161	27	22	oa+zb	51
24	István Gaál	University of Debrecen	HU	3	2	42	[197]	19	all_three	39
25	Pietro Corvaja	University of Udine	IT	61	26	7	78	21	all_three	31
26	Shinichi Mochizuki	Kyoto University	JP	[38]	41	[74]	31	20	oa_only	34
27	Hector Pasten	Pontifical Catholic University of Chile	CL	1	7	53	[197]	8	all_three	16
28	R. C. Mason	Gonville and Caius College, University of Cambridge	GB	[40]	140	[76]	13	10	oa_only	43
29	Marc Hindry	Université Paris Cité	FR	[36]	[42]	[80]	36	10	cite_only	39
30	Harold M. Stark	University of California, San Diego	US	[36]	[42]	[80]	37	7	cite_only	62
31	Gerhard Frey	University of Duisburg-Essen	DE	[36]	[42]	[77]	43	18	cite_only	56
32	Igor E. Shparlinski	University of New South Wales	AU	23	11	102	81	42	all_three	46
33	Kunrui Yu	Hong Kong University of Science and Technology	HK	[32]	[60]	141	17	10	zb_only	39
34	Juliusz Brzeziński	Chalmers University of Technology	SE	[36]	[42]	[77]	46	10	cite_only	59
35	Henri Darmon	McGill University	CA	[35]	[42]	[76]	47	29	cite_only	35
36	Preda Mihăilescu	University of Göttingen	DE	[35]	[42]	[76]	48	13	cite_only	29
37	Carl Pomerance	Dartmouth College	US	[35]	[42]	[76]	49	39	cite_only	54
38	Don Zagier	Max Planck Institute for Mathematics	DE	[35]	[42]	[77]	52	59	cite_only	54
39	Dorian Goldfeld	Columbia University	US	[35]	[42]	[77]	53	24	cite_only	57
40	Samir Siksek	University of Warwick	GB	30	17	[60]	91	20	arx+oa	31
41	Maurice Mignotte	University of Strasbourg	FR	[34]	30	48	67	24	oa+zb	52
42	Thomas J. Tucker	University of Rochester	US	43	99	159	35	20	all_three	28
43	Hendrik W. Lenstra	Leiden University	NL	[35]	[48]	[77]	56	41	cite_only	49
44	Władysław Narkiewicz	University of Wrocław	PL	[35]	[48]	[77]	57	18	cite_only	65
45	Paulo Ribenboim	Queen's University	CA	[35]	[48]	[77]	58	29	cite_only	69
46	Michael Stoll	University of Bayreuth	DE	[35]	[48]	[77]	60	25	cite_only	33
47	Abderrahmane Nitaj	University of Caen Normandy	FR	[35]	[48]	[77]	61	14	cite_only	32
48	Amos Turchet	Roma Tre University	IT	9	15	[53]	[197]	4	arx+oa	12
49	Machiel van Frankenhuijsen	Utah Valley University	US	[33]	55	133	50	8	oa+zb	31
50	W. Dale Brownawell	Pennsylvania State University	US	[35]	[54]	[77]	69	14	cite_only	56
51	Hester Graves	IDA Center for Computing Sciences	US	[35]	[54]	[77]	71	4	cite_only	17
52	Gérald Tenenbaum	Institut Élie Cartan de Lorraine	FR	[35]	[54]	[77]	72	30	cite_only	50
53	José Felipe Voloch	University of Canterbury	NZ	[35]	[54]	[77]	73	24	cite_only	41
54	Ingrid Vukusic	University of Waterloo	CA	5	33	[59]	[197]	2	arx+oa	3
55	Benne de Weger	Eindhoven University of Technology	NL	[35]	[54]	[76]	74	14	cite_only	38
56	Greg Martin	University of British Columbia	CA	[34]	[48]	[75]	80	16	cite_only	29
57	Richard Taylor	Stanford University	US	[34]	[48]	[75]	82	30	cite_only	38
58	Katsutoshi Yamanoi	Osaka University	JP	[34]	[48]	[75]	83	9	cite_only	26
59	Yuri F. Bilu	University of Bordeaux	FR	[37]	123	93	41	17	oa+zb	33
60	Shanta Laishram	Indian Statistical Institute, Delhi Centre	IN	[34]	[48]	[75]	88	11	cite_only	19
61	Henri Cohen	University of Bordeaux	FR	[30]	[42]	[74]	105	30	cite_only	50
62	Gisbert Wüstholz	ETH Zurich	CH	[32]	[42]	[74]	103	16	cite_only	49
63	Jordan S. Ellenberg	University of Wisconsin-Madison	US	[30]	[42]	[74]	107	24	cite_only	28
64	Michel Langevin	University of Bordeaux	FR	[29]	[41]	[70]	111	4	cite_only	39
65	Sergey Konyagin	Steklov Mathematical Institute	RU	[30]	[41]	[70]	109	28	cite_only	44
66	J. Noguchi	The University of Tokyo	JP	[29]	[36]	[70]	115	20	cite_only	-
67	Volker Ziegler	University of Salzburg	AT	[39]	10	[59]	[197]	12	oa_only	21
68	Ariyan Javanpeykar	Radboud University Nijmegen	NL	10	43	[59]	[197]	11	arx+oa	13
69	Julie Tzu-Yueh Wang	Institute of Mathematics, Academia Sinica	TW	[27]	[57]	15	[197]	13	zb_only	31
70	Wade Hindes	Texas State University	US	11	48	[59]	[197]	-	arx+oa	11
71	Min Ru	University of Houston	US	[34]	67	14	[197]	21	oa+zb	36
72	K. Soundararajan	Stanford University	US	65	144	[67]	63	33	arx+oa	28
73	Kirti Joshi	University of Arizona	US	25	19	[53]	[197]	7	arx+oa	30
74	Ruiwen Dong	University of Oxford	GB	14	[54]	[48]	[197]	-	arxiv_only	3
75	Jörg Winkelmann	Ruhr University Bochum	DE	[30]	[55]	[76]	128	-	cite_only	39
76	A. Pethö	University of Debrecen	HU	[34]	23	144	136	16	oa+zb	50
77	Karl Dilcher	Dalhousie University	CA	[29]	[58]	[83]	130	22	cite_only	43
78	Aaron Levin	Michigan State University	US	28	[56]	24	[197]	11	arx+zb	21
79	Jeffrey C. Lagarias	University of Michigan	US	[30]	[62]	[93]	134	55	cite_only	52
80	L. Hajdu	University of Debrecen	HU	[32]	98	132	75	15	oa+zb	28
81	Si Duc Quang	Hanoi National University of Education	VN	[27]	[62]	32	[197]	13	zb_only	16
82	Robert F. Tichy	Graz University of Technology	AT	[34]	82	31	[197]	26	oa+zb	47
83	Frits Beukers	Utrecht University	NL	[31]	[56]	107	84	27	zb_only	47
84	Doron Shafrir	Ben-Gurion University of the Negev	IL	33	[54]	[48]	[197]	1	arxiv_only	-
85	C. Gratton	-	-	[30]	[64]	[57]	[197]	-	cite_only	-
86	E. M. Matveev	Steklov Mathematical Institute	RU	[33]	[52]	95	100	8	zb_only	-
87	J. Mueller	Fordham University	US	[28]	[56]	41	[197]	-	zb_only	49
88	R. Laniewski	-	-	48	35	[59]	[197]	1	arx+oa	-
89	Olivier Robert	Université Jean Monnet Saint-Étienne	FR	[30]	[58]	[83]	[197]	7	cite_only	25
90	Yuchen Ding	Yangzhou University	CN	[30]	[62]	[76]	[197]	8	cite_only	-
91	Yu Yasufuku	Waseda University	JP	32	69	71	[197]	4	all_three	18
92	QiMing Yan	Tongji University	CN	[28]	[56]	47	[197]	-	zb_only	-
93	David McKinnon	University of Waterloo	CA	42	[54]	[48]	[197]	-	arxiv_only	27
94	Sudhansu Sekhar Rout	National Institute of Technology Calicut	IN	44	27	175	[197]	8	all_three	-
95	Frédéric Campana	University of Lorraine	FR	45	44	[59]	[197]	18	arx+oa	46
96	Nicole Looper	University of Illinois Chicago	US	40	68	[59]	[197]	3	arx+oa	8
97	Vesselin Dimitrov	California Institute of Technology	US	38	104	[59]	[197]	-	arx+oa	9
98	Wayne Peng	National Central University	TW	39	102	[58]	[197]	3	arx+oa	6
99	Dimitrios Poulakis	Aristotle University of Thessaloniki	GR	[40]	38	172	[197]	11	oa+zb	43
100	Carlo Gasbarri	University of Strasbourg	FR	59	49	[59]	[197]	-	arx+oa	31

Source column legend

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

all_three: ranked directly by arXiv, OpenAlex, and zbMATH. The unanimous core.
arx+oa: ranked by arXiv and OpenAlex, but not zbMATH.
arx+zb: ranked by arXiv and zbMATH, but not OpenAlex.
oa+zb: ranked by OpenAlex and zbMATH, but not arXiv.
arxiv_only: ranked only by the arXiv pipeline.
oa_only: ranked only by OpenAlex. Often senior figures who publish in journals and do not post preprints.
zb_only: ranked only by zbMATH. Often pre-1995 Russian and Chinese number theorists.
cite_only: ranked only by citation influence: the literature cites them heavily, though they have written few papers on the topic themselves. Often the founders of the field.

Source	Count
`cite_only`	44
`all_three`	15
`oa+zb`	13
`arx+oa`	13
`zb_only`	7
`oa_only`	4
`arxiv_only`	3
`arx+zb`	1

Limitations

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