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
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 each rank a researcher; the three ranks merge into one, weighted toward each person's strongest. 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	h	Source	YSP
1	Kálmán Győry	University of Debrecen	HU	24	2	8	24	all_three	60
2	István Gaál	University of Debrecen	HU	2	3	40	19	all_three	39
3	Umberto Zannier	Scuola Normale Superiore	IT	25	5	6	33	all_three	-
4	Hector Pasten	Pontificia Universidad Católica de Chile	CL	1	4	63	8	all_three	16
5	Florian Luca	Stellenbosch University	ZA	[30]	22	4	28	oa+zb	30
6	Jan-Hendrik Evertse	Leiden University	NL	61	16	2	23	all_three	43
7	Michael A. Bennett	University of British Columbia	CA	12	7	47	20	all_three	33
8	Amos Turchet	Roma Tre University	IT	9	8	[59]	4	arx+oa	12
9	Yann Bugeaud	Université de Strasbourg	FR	[30]	57	3	36	oa+zb	30
10	Pietro Corvaja	University of Udine	IT	56	24	7	21	all_three	31
11	Ingrid Vukusic	University of Waterloo	CA	5	38	[52]	2	arx+oa	3
12	Samir Siksek	University of Warwick	GB	29	9	[59]	20	arx+oa	31
13	Michel Waldschmidt	Sorbonne Université	FR	16	12	70	23	all_three	54
14	Julie Tzu-Yueh Wang	Institute of Mathematics, Academia Sinica	TW	[25]	[46]	14	14	zb_only	31
15	Wade Hindes	Texas State University	US	11	32	[55]	-	arx+oa	11
16	Igor E. Shparlinski	UNSW Sydney	AU	21	10	99	42	all_three	46
17	Clemens Fuchs	University of Salzburg	AT	[30]	52	15	12	oa+zb	24
18	Ariyan Javanpeykar	Radboud University Nijmegen	NL	10	48	[55]	11	arx+oa	13
19	Kirti Joshi	University of Arizona	US	23	18	[55]	7	arx+oa	30
20	Min Ru	University of Houston	US	[33]	113	13	21	oa+zb	36
21	Ruiwen Dong	University of Oxford	GB	18	[51]	[55]	-	arxiv_only	3
22	Wolfgang M. Schmidt	University of Colorado Boulder	US	[32]	127	16	36	oa+zb	71
23	Maurice Mignotte	Université de Strasbourg	FR	[31]	30	45	24	oa+zb	52
24	Si Duc Quang	Hanoi National University of Education	VN	[25]	[52]	31	13	zb_only	16
25	Cameron L. Stewart	University of Waterloo	CA	52	41	27	20	all_three	50
26	Michelle Manes	American Institute of Mathematics	US	28	43	[55]	9	arx+oa	19
27	M. Ram Murty	Queen's University	CA	[36]	31	[56]	25	oa_only	46
28	Aaron Levin	Michigan State University	US	27	137	24	11	all_three	21
29	Attila Bérczes	University of Debrecen	HU	[36]	33	[56]	10	oa_only	26
30	A. Pethö	University of Debrecen	HU	[28]	23	144	16	oa+zb	50
31	J. Mueller	Fordham University	US	[26]	[46]	39	-	zb_only	49
32	Boris Adamczewski	Centre National de la Recherche Scientifique	FR	[26]	[46]	41	19	zb_only	24
33	Claude Levesque	Université Laval	CA	15	45	192	10	all_three	50
34	Wayne Peng	University of Science and Technology of China	CN	34	[51]	[55]	3	arxiv_only	6
35	Natalia Garcia-Fritz	Pontifical Catholic University of Chile	CL	30	74	[56]	-	arx+oa	11
36	QiMing Yan	Tongji University	CN	[26]	[46]	44	-	zb_only	-
37	David McKinnon	University of Waterloo	CA	37	[51]	[55]	-	arxiv_only	27
38	Evelina Viada	University of Göttingen	DE	40	42	[55]	-	arx+oa	25
39	Vesselin Dimitrov	California Institute of Technology	US	33	78	[56]	-	arx+oa	9
40	Nicole Looper	University of Illinois Chicago	US	35	84	[56]	3	arx+oa	8
41	Philipp Habegger	University of Basel	CH	36	80	[56]	12	arx+oa	19
42	Alexandru Zaharescu	University of Illinois Urbana-Champaign	US	[30]	100	42	24	oa+zb	35
43	Paul M. Voutier	Independent	GB	42	53	[55]	12	arx+oa	33
44	Paul Vojta	University of California, Berkeley	US	32	85	75	18	all_three	43
45	Prajeet Bajpai	University of British Columbia	CA	41	64	[56]	-	arx+oa	2
46	Yu Yasufuku	Waseda University	JP	31	105	71	4	all_three	18
47	Matthew Satriano	University of Waterloo	CA	44	[51]	[55]	9	arxiv_only	16
48	Bjorn Poonen	Massachusetts Institute of Technology	US	45	[51]	[55]	34	arxiv_only	32
49	Frédéric Campana	University of Lorraine	FR	39	89	[56]	18	arx+oa	46
50	Shinichi Mochizuki	Kyoto University	JP	[36]	50	[56]	20	oa_only	34
51	Benjamin Matschke	Boston University	US	47	51	[55]	8	arx+oa	15
52	Alina Ostafe	UNSW Sydney	AU	46	56	[55]	14	arx+oa	-
53	Robert F. Tichy	Graz University of Technology	AT	[30]	94	48	26	oa+zb	47
54	Dan Abramovich	Brown University	US	48	[51]	[55]	32	arxiv_only	35
55	T. N. Shorey	Indian Institute of Technology Bombay	IN	[31]	40	160	22	oa+zb	51
56	Carlo Gasbarri	University of Strasbourg	FR	54	49	[55]	-	arx+oa	31
57	Anthony Várilly-Alvarado	Rice University	US	50	[51]	[55]	14	arxiv_only	17
58	Joseph H. Silverman	Brown University	US	53	39	138	56	all_three	44
59	Andrej Dujella	University of Zagreb	HR	[36]	58	[56]	25	oa_only	30
60	Angelos Koutsianas	Aristotle University of Thessaloniki	GR	55	54	[55]	3	arx+oa	10
61	Dimitrios Poulakis	Aristotle University of Thessaloniki	GR	[30]	46	172	11	oa+zb	43
62	Nathan Grieve	Carleton University	CA	[27]	[52]	65	-	zb_only	13
63	Ziyang Gao	University of California, Los Angeles	US	49	108	[63]	-	arx+oa	11
64	Sara Checcoli	Université Grenoble Alpes	FR	59	59	[55]	-	arx+oa	15
65	Rafael von Känel	Tsinghua University	CN	57	72	[56]	-	arx+oa	16
66	Khoa D. Nguyen	University of Calgary	CA	[27]	[52]	69	-	zb_only	12
67	K. Soundararajan	Stanford University	US	60	60	[55]	33	arx+oa	28
68	Andrew Best	Beijing Institute of Mathematical Sciences and Applications	US	58	81	[56]	-	arx+oa	5
69	Andrew Bridy	Texas A&M University	US	51	124	[63]	-	arx+oa	12
70	Francesco Amoroso	University of Caen Normandy	FR	[32]	163	58	-	oa+zb	-
71	Patrick Ingram	York University	CA	[35]	76	[58]	11	oa_only	20
72	R. Tijdeman	Leiden University	NL	[27]	[49]	80	28	zb_only	57
73	Thomas J. Tucker	University of Rochester	US	38	131	158	20	all_three	26
74	N. Saradha	Tata Institute of Fundamental Research	IN	[31]	90	81	13	oa+zb	-
75	Enrico Bombieri	Institute for Advanced Study	US	[34]	141	73	42	oa+zb	63
76	J. Noguchi	The University of Tokyo	JP	[35]	88	[58]	20	oa_only	-
77	Artūras Dubickas	Vilnius University	LT	[30]	82	149	16	oa+zb	36
78	L. Hajdu	University of Debrecen	HU	[27]	86	129	15	oa+zb	28
79	D. R. Heath-Brown	University of Oxford	GB	[28]	91	142	45	oa+zb	47
80	P. Moree	Max Planck Institute for Mathematics	DE	[26]	[52]	107	20	zb_only	33
81	Rainer Dietmann	Royal Holloway University of London	GB	[24]	[82]	110	11	zb_only	26
82	Machiel van Frankenhuijsen	Utah Valley University	US	[18]	[64]	130	8	zb_only	31
83	Kunrui Yu	Hong Kong University of Science and Technology	HK	[18]	[64]	140	10	zb_only	39
84	ZhiHua Chen	-	CN	[21]	[64]	145	-	zb_only	-
85	Jean-Marie De Koninck	Université Laval	CA	[41]	139	[73]	10	oa_only	53
86	Patrice Philippon	Centre National de la Recherche Scientifique	FR	[21]	[82]	147	18	zb_only	43
87	Kwok Chi Chim	Max Planck Society	DE	[26]	[82]	150	3	zb_only	8
88	Michael Filaseta	University of South Carolina	US	[26]	[82]	154	16	zb_only	42
89	Joseph Oesterlé	Sorbonne Université	FR	-	-	-	4	manual	49
90	David Masser	University of Basel	CH	-	-	-	29	manual	52
91	Gerhard Frey	University of Duisburg-Essen	DE	-	-	-	18	manual	56
92	Noam D. Elkies	Harvard University	US	-	-	-	22	manual	39
93	Dorian Goldfeld	Columbia University	US	-	-	-	24	manual	57
94	R. C. Mason	Gonville and Caius College, University of Cambridge	GB	-	-	-	10	manual	43
95	Andrew Granville	Université de Montréal	CA	-	-	-	32	manual	39
96	Hendrik W. Lenstra	Leiden University	NL	-	-	-	41	manual	49
97	Benne de Weger	Eindhoven University of Technology	NL	-	-	-	14	manual	38
98	Peter Scholze	Max Planck Institute for Mathematics	DE	-	-	-	22	manual	14
99	Jakob Stix	Goethe University Frankfurt	DE	-	-	-	12	manual	24
100	Go Yamashita	Kyoto University	JP	-	-	-	-	manual	21

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.

Source	Count
`arx+oa`	25
`oa+zb`	17
`all_three`	16
`zb_only`	16
`manual`	12
`arxiv_only`	7
`oa_only`	7

Limitations

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