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	3	8	24	all_three	60
2	István Gaál	University of Debrecen	HU	2	4	42	19	all_three	39
3	Umberto Zannier	Scuola Normale Superiore	IT	25	6	6	33	all_three	-
4	Hector Pasten	Pontificia Universidad Católica de Chile	CL	1	5	63	8	all_three	16
5	Jan-Hendrik Evertse	Leiden University	NL	61	14	2	23	all_three	43
6	Michael A. Bennett	University of British Columbia	CA	12	7	36	20	all_three	33
7	Amos Turchet	Roma Tre University	IT	9	10	[50]	4	arx+oa	12
8	Yann Bugeaud	Université de Strasbourg	FR	[30]	59	3	36	oa+zb	30
9	Samir Siksek	University of Warwick	GB	29	8	[50]	20	arx+oa	31
10	Ingrid Vukusic	University of Waterloo	CA	5	43	[50]	2	arx+oa	3
11	Pietro Corvaja	University of Udine	IT	56	34	7	21	all_three	31
12	Julie Tzu-Yueh Wang	Institute of Mathematics, Academia Sinica	TW	[25]	[51]	14	14	zb_only	31
13	Igor E. Shparlinski	UNSW Sydney	AU	21	9	100	42	all_three	46
14	Clemens Fuchs	University of Salzburg	AT	[30]	56	15	12	oa+zb	24
15	Ariyan Javanpeykar	Radboud University Nijmegen	NL	10	54	[50]	11	arx+oa	13
16	Michel Waldschmidt	Sorbonne Université	FR	16	21	70	23	all_three	54
17	Wade Hindes	Texas State University	US	11	52	[50]	-	arx+oa	11
18	Kirti Joshi	University of Arizona	US	23	19	[54]	7	arx+oa	30
19	Min Ru	University of Houston	US	[33]	126	13	21	oa+zb	36
20	Ruiwen Dong	University of Oxford	GB	18	[56]	[52]	-	arxiv_only	3
21	Wolfgang M. Schmidt	University of Colorado Boulder	US	[32]	141	16	36	oa+zb	71
22	Si Duc Quang	Hanoi National University of Education	VN	[25]	[56]	31	13	zb_only	16
23	Maurice Mignotte	Université de Strasbourg	FR	[30]	31	48	24	oa+zb	52
24	Cameron L. Stewart	University of Waterloo	CA	52	46	27	20	all_three	50
25	Michelle Manes	American Institute of Mathematics	US	28	48	[54]	9	arx+oa	19
26	M. Ram Murty	Queen's University	CA	[34]	32	[56]	25	oa_only	46
27	Attila Bérczes	University of Debrecen	HU	[34]	33	[56]	10	oa_only	26
28	Aaron Levin	Michigan State University	US	27	151	24	11	all_three	21
29	A. Pethö	University of Debrecen	HU	[30]	25	145	16	oa+zb	50
30	J. Mueller	Fordham University	US	[26]	[51]	41	-	zb_only	49
31	Claude Levesque	Université Laval	CA	15	50	193	10	all_three	50
32	Natalia Garcia-Fritz	Pontifical Catholic University of Chile	CL	30	82	[55]	-	arx+oa	11
33	Wayne Peng	National Central University	TW	35	[56]	[52]	3	arxiv_only	6
34	Angelos Koutsianas	Aristotle University of Thessaloniki	GR	55	35	[54]	3	arx+oa	10
35	Boris Adamczewski	Centre National de la Recherche Scientifique	FR	[26]	[56]	43	19	zb_only	24
36	Robert F. Tichy	Graz University of Technology	AT	[30]	102	37	26	oa+zb	47
37	David McKinnon	University of Waterloo	CA	38	[56]	[52]	-	arxiv_only	27
38	QiMing Yan	Tongji University	CN	[26]	[51]	47	-	zb_only	-
39	Paul M. Voutier	Independent	GB	32	100	[55]	12	arx+oa	33
40	Evelina Viada	University of Göttingen	DE	41	47	[54]	-	arx+oa	25
41	Nicole Looper	University of Illinois Chicago	US	36	92	[55]	3	arx+oa	8
42	Philipp Habegger	University of Basel	CH	37	88	[55]	12	arx+oa	19
43	Matthew Satriano	University of Waterloo	CA	44	[56]	[52]	9	arxiv_only	16
44	Prajeet Bajpai	University of British Columbia	CA	42	68	[54]	-	arx+oa	2
45	Yu Yasufuku	Waseda University	JP	31	116	71	4	all_three	18
46	Bjorn Poonen	Massachusetts Institute of Technology	US	45	[56]	[52]	34	arxiv_only	32
47	Frédéric Campana	University of Lorraine	FR	40	96	[55]	18	arx+oa	46
48	Vesselin Dimitrov	California Institute of Technology	US	34	125	[62]	-	arx+oa	9
49	Alexandru Zaharescu	University of Illinois Urbana-Champaign	US	[32]	108	45	24	oa+zb	35
50	Alina Ostafe	UNSW Sydney	AU	46	58	[54]	14	arx+oa	-
51	Dan Abramovich	Brown University	US	48	[56]	[52]	32	arxiv_only	35
52	Paul Vojta	University of California, Berkeley	US	33	122	76	18	all_three	43
53	Anthony Várilly-Alvarado	Rice University	US	50	[56]	[52]	14	arxiv_only	17
54	Shinichi Mochizuki	Kyoto University	JP	[35]	55	[56]	20	oa_only	34
55	Benjamin Matschke	-	US	47	86	[55]	8	arx+oa	15
56	T. N. Shorey	National Institute of Advanced Studies	IN	[31]	45	161	22	oa+zb	51
57	Andrej Dujella	University of Zagreb	HR	[35]	60	[56]	25	oa_only	30
58	Carlo Gasbarri	University of Strasbourg	FR	54	66	[54]	-	arx+oa	31
59	Joseph H. Silverman	Brown University	US	53	44	139	56	all_three	44
60	Nathan Grieve	Carleton University	CA	[27]	[56]	65	-	zb_only	13
61	Sara Checcoli	Université Grenoble Alpes	FR	59	61	[54]	-	arx+oa	15
62	Ziyang Gao	University of California, Los Angeles	US	49	119	[62]	-	arx+oa	11
63	Dimitrios Poulakis	Aristotle University of Thessaloniki	GR	[30]	51	173	11	oa+zb	43
64	K. Soundararajan	Stanford University	US	60	62	[54]	33	arx+oa	28
65	Khoa D. Nguyen	University of Calgary	CA	[27]	[56]	69	-	zb_only	12
66	Andrew Best	Beijing Institute of Mathematical Sciences and Applications	US	58	89	[55]	-	arx+oa	5
67	Rafael von Känel	Tsinghua University	CN	57	103	[55]	-	arx+oa	16
68	Andrew Bridy	-	US	51	138	[63]	-	arx+oa	12
69	Francesco Amoroso	University of Caen Normandy	FR	[32]	179	58	-	oa+zb	-
70	R. Tijdeman	Leiden University	NL	[27]	[54]	81	28	zb_only	57
71	Patrick Ingram	York University	CA	[35]	84	[58]	11	oa_only	20
72	Thomas J. Tucker	University of Rochester	US	39	145	159	20	all_three	28
73	N. Saradha	-	IN	[31]	97	82	13	oa+zb	-
74	Enrico Bombieri	Institute for Advanced Study	US	[34]	155	74	42	oa+zb	63
75	Yuri F. Bilu	University of Bordeaux	FR	[27]	[54]	91	17	zb_only	33
76	L. Hajdu	University of Debrecen	HU	[27]	93	131	15	oa+zb	28
77	Artūras Dubickas	Vilnius University	LT	[30]	90	150	16	oa+zb	36
78	P. Moree	Max Planck Institute for Mathematics	DE	[26]	[56]	107	20	zb_only	33
79	D. R. Heath-Brown	University of Oxford	GB	[30]	98	143	45	oa+zb	47
80	Rainer Dietmann	Royal Holloway University of London	GB	[24]	[90]	111	11	zb_only	26
81	Machiel van Frankenhuijsen	Utah Valley University	US	[18]	[70]	132	8	zb_only	31
82	Kunrui Yu	Hong Kong University of Science and Technology	HK	[21]	[70]	141	10	zb_only	39
83	ZhiHua Chen	Tongji University	CN	[26]	[70]	146	-	zb_only	-
84	Patrice Philippon	Centre National de la Recherche Scientifique	FR	[26]	[70]	148	18	zb_only	43
85	Kwok Chi Chim	Max Planck Society	DE	[26]	[90]	151	3	zb_only	8
86	Michael Filaseta	University of South Carolina	US	[26]	[90]	152	16	zb_only	42
87	Jean-Marie De Koninck	Université Laval	CA	[41]	153	[64]	10	oa_only	53
88	Joseph Oesterlé	Sorbonne Université	FR	-	-	-	4	manual	49
89	David Masser	University of Basel	CH	-	-	-	29	manual	52
90	Gerhard Frey	University of Duisburg-Essen	DE	-	-	-	18	manual	56
91	Noam D. Elkies	Harvard University	US	-	-	-	22	manual	39
92	Dorian Goldfeld	Columbia University	US	-	-	-	24	manual	57
93	R. C. Mason	Gonville and Caius College, University of Cambridge	GB	-	-	-	10	manual	43
94	Andrew Granville	Université de Montréal	CA	-	-	-	32	manual	39
95	Hendrik W. Lenstra	Leiden University	NL	-	-	-	41	manual	49
96	Benne de Weger	Eindhoven University of Technology	NL	-	-	-	14	manual	38
97	Peter Scholze	Max Planck Institute for Mathematics	DE	-	-	-	22	manual	14
98	Jakob Stix	Goethe University Frankfurt	DE	-	-	-	12	manual	24
99	Go Yamashita	Kyoto University	JP	-	-	-	-	manual	21
100	Ivan Fesenko	Westlake University	CN	-	-	-	11	manual	39

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
`zb_only`	17
`all_three`	16
`oa+zb`	16
`manual`	13
`arxiv_only`	7
`oa_only`	6

Limitations

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