The Top 100

Researchers active on Goldbach 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	Janos Pintz	Alfréd Rényi Institute of Mathematics	HU	7	11	1	26	all_three	50
2	Trevor D. Wooley	Purdue University West Lafayette	US	1	9	12	28	all_three	36
3	Jörg Brüdern	University of Göttingen	DE	[29]	17	2	19	oa+zb	38
4	Jinjiang Li	China University of Mining and Technology (Beijing)	CN	2	7	[54]	6	arx+oa	-
5	Joni Teräväinen	University of Cambridge	GB	4	21	[54]	9	arx+oa	8
6	Daniel A. Goldston	San Jose State University	US	9	44	10	21	all_three	45
7	Igor E. Shparlinski	UNSW Sydney	AU	11	15	[54]	42	arx+oa	46
8	Jianya Liu	Shandong University	CN	[46]	[49]	3	14	zb_only	31
9	Tianze Wang	Henan Academy of Sciences	CN	[46]	[49]	4	2	zb_only	35
10	Stephan Baier	Ramakrishna Mission Vivekananda Educational and Research Institute	IN	5	41	[55]	14	arx+oa	26
11	Terence Tao	University of California, Los Angeles	US	12	20	50	101	all_three	30
12	R. C. Vaughan	Pennsylvania State University	US	[46]	[49]	5	35	zb_only	56
13	Min Zhang	Beijing Information Science and Technology University	CN	3	[76]	[58]	44	arxiv_only	-
14	V. N. Chubarikov	Lomonosov Moscow State University	RU	[46]	[49]	11	-	zb_only	49
15	Xuancheng Shao	University of Kentucky	US	6	49	92	10	all_three	12
16	Alessandro Zaccagnini	University of Parma	IT	16	[64]	30	14	arx+zb	32
17	Alessandro Languasco	University of Padua	IT	18	[64]	23	12	arx+zb	30
18	Alberto Perelli	University of Genoa	IT	[46]	[49]	15	20	zb_only	50
19	Jared Duker Lichtman	Stanford University	US	8	83	[54]	4	arx+oa	3
20	Kaisa Matomäki	University of Turku	FI	13	55	61	16	all_three	17
21	Glyn Harman	Royal Holloway University of London	GB	[46]	[49]	21	19	zb_only	44
22	Alexander P. Mangerel	Durham University	GB	15	76	[55]	6	arx+oa	8
23	William D. Banks	University of Missouri	US	17	66	[55]	21	arx+oa	32
24	Tao Zhan	Shandong University	CN	[46]	[49]	22	17	zb_only	39
25	András Sárközy	Eötvös Loránd University	HU	[46]	[49]	27	31	zb_only	57
26	Angel Kumchev	Towson University	US	21	152	20	12	all_three	25
27	James Maynard	University of Oxford	GB	20	[80]	[58]	11	arxiv_only	13
28	Daniel R. Johnston	University of New South Wales Canberra	AU	22	[80]	[58]	4	arxiv_only	-
29	Lasse Grimmelt	University of Cambridge	GB	24	[80]	[58]	2	arxiv_only	7
30	Jori Merikoski	University of Helsinki	FI	25	[80]	[58]	2	arxiv_only	5
31	S. I. Dimitrov	Technical University of Sofia	BG	14	173	[56]	6	arx+oa	-
32	Alexandru Zaharescu	University of Illinois Urbana-Champaign	US	27	88	[54]	24	arx+oa	35
33	Yong-Gao Chen	Nanjing Normal University	CN	[46]	[49]	35	-	zb_only	34
34	Kevin Ford	University of Illinois Urbana-Champaign	US	28	[80]	[58]	-	arxiv_only	32
35	Gautami Bhowmik	Université de Lille	FR	32	[64]	52	9	arx+zb	35
36	Chaohua Jia	Chinese Academy of Sciences	CN	[46]	[49]	36	11	zb_only	39
37	Ben Green	University of Oxford	GB	29	[64]	75	5	arx+zb	23
38	Hugh Lowell Montgomery	University of Michigan	US	[46]	[49]	38	32	zb_only	54
39	Andrew Granville	Université de Montréal	CA	37	47	63	32	all_three	39
40	Hongze Li	Shanghai Jiao Tong University	CN	75	[64]	31	-	arx+zb	36
41	Ade Irma Suriajaya	Kyushu University	JP	31	[64]	79	4	arx+zb	10
42	Victor Zhenyu Guo	Xi'an Jiaotong University	CN	33	[80]	[58]	4	arxiv_only	9
43	Hao Pan	Nanjing University of Finance and Economics	CN	30	[64]	90	17	arx+zb	20
44	Helmut Maier	Universität Ulm	DE	46	[64]	41	18	arx+zb	45
45	Kevin Hughes	Independent	GB	38	[80]	[58]	8	arxiv_only	14
46	Koichi Kawada	Iwate University	JP	[46]	[49]	46	9	zb_only	32
47	Karin Halupczok	Heinrich Heine University Düsseldorf	DE	23	191	[57]	5	arx+oa	25
48	Jean‐Marc Deshouillers	Université de Bordeaux	FR	[46]	[49]	47	16	zb_only	54
49	Fei Xue	China University of Mining and Technology (Beijing)	CN	39	95	[54]	6	arx+oa	20
50	Kai-Man Tsang	University of Hong Kong	HK	[46]	[49]	48	8	zb_only	42
51	Zhi-Wei Sun	Nanjing University	CN	152	[64]	29	31	arx+zb	34
52	Adrian Dudek	University of Queensland	AU	41	[80]	[58]	5	arxiv_only	10
53	Jiseong Kim	University of Mississippi	US	42	[80]	[56]	20	arxiv_only	3
54	John B. Friedlander	University of Toronto	CA	79	[64]	42	34	arx+zb	54
55	H. A. Helfgott	Université Paris Cité	FR	48	[64]	56	19	arx+zb	23
56	Doychin Tolev	Sofia University "St. Kliment Ohridski"	BG	45	92	55	10	all_three	25
57	Akio Fujii	Rikkyo University	JP	[46]	[49]	54	14	zb_only	53
58	Christian Elsholtz	Graz University of Technology	AT	[46]	[49]	57	13	zb_only	28
59	Xiumin Ren	Shandong University	CN	[46]	[49]	58	11	zb_only	25
60	Runbo Li	University of Michigan	US	40	[86]	114	-	arx+zb	-
61	D. R. Heath-Brown	University of Oxford	GB	55	[64]	62	45	arx+zb	47
62	H. J. J. te Riele	Centrum Wiskunde & Informatica	NL	[46]	[49]	64	-	zb_only	50
63	Antal Balog	Alfréd Rényi Institute of Mathematics	HU	[46]	[49]	65	18	zb_only	35
64	Dieter Wolke	University of Freiburg	DE	[46]	[49]	68	-	zb_only	57
65	Michael Th. Rassias	Hellenic Military Academy	GR	47	143	73	24	all_three	12
66	Roger C. Baker	Brigham Young University	US	58	135	53	34	all_three	55
67	Brian Cook	Virginia Tech	US	63	[80]	[55]	5	arxiv_only	14
68	Henryk Iwaniec	Rutgers University	US	80	179	43	50	all_three	54
69	Nicolas Robles	RAND Corporation	US	51	176	[54]	7	arx+oa	11
70	Imre Z. Ruzsa	Alfréd Rényi Institute of Mathematics	HU	142	[94]	45	33	arx+zb	47
71	Jan-Christoph Schlage-Puchta	University of Rostock	DE	147	[96]	44	11	arx+zb	29
72	Greg Martin	University of British Columbia	CA	68	[80]	[55]	16	arxiv_only	29
73	Melvyn B. Nathanson	Lehman College, CUNY	US	[46]	[49]	76	-	zb_only	54
74	Florian Luca	Stellenbosch University	ZA	99	[64]	66	28	arx+zb	30
75	Olivier Ramaré	Aix-Marseille Université	FR	69	[64]	80	15	arx+zb	35
76	Ping Xi	Xi'an Jiaotong University	CN	56	192	[55]	9	arx+oa	12
77	Jordan Schettler	San Jose State University	US	72	[80]	[55]	3	arxiv_only	14
78	Imre Kátai	Eötvös Loránd University	HU	[46]	[49]	81	15	zb_only	60
79	Gove Effinger	Skidmore College	US	[46]	[49]	82	8	zb_only	45
80	Ayla Gafni	University of Mississippi	US	77	[80]	[55]	-	arxiv_only	10
81	Emmanuel Kowalski	ETH Zurich	CH	78	[80]	[55]	29	arxiv_only	28
82	Malvina Baica	University of Wisconsin-Whitewater	US	[46]	[49]	85	-	zb_only	46
83	A. Peretti	Universidad del Salvador	AR	[46]	[49]	86	-	zb_only	-
84	Roger J. Cook	Queensland University of Technology	AU	[46]	[49]	88	15	zb_only	55
85	Stephen Kwok-Kwong Choi	Simon Fraser University	CA	[46]	[49]	89	8	zb_only	30
86	Efthymios Sofos	University of Glasgow	GB	84	[80]	[55]	7	arxiv_only	11
87	Wenguang Zhai	China University of Mining and Technology (Beijing)	CN	[46]	[49]	91	13	zb_only	30
88	M. Ram Murty	Queen's University	CA	[19]	99	[50]	25	oa_only	46
89	Guangshi Lü	Shandong University	CN	[46]	[49]	93	17	zb_only	22
90	Marco Cantarini	University of Perugia	IT	87	[80]	[55]	8	arxiv_only	9
91	Kohji Matsumoto	Nagoya University	JP	81	[66]	102	26	arx+zb	40
92	Carl Pomerance	Dartmouth College	US	82	[64]	100	39	arx+zb	54
93	Anji Dong	University of Illinois Urbana-Champaign	US	92	[80]	[55]	0	arxiv_only	-
94	Lior Bary-Soroker	Tel Aviv University	IL	93	[80]	[55]	10	arxiv_only	18
95	Timothy S. Trudgian	Australian National University	AU	88	[67]	106	13	arx+zb	16
96	James Leng	University of California, Los Angeles	US	96	[80]	[55]	2	arxiv_only	-
97	Peter D. T. A. Elliott	University of Colorado Boulder	US	[46]	[55]	104	19	zb_only	57
98	Ahmet Muhtar Guloglu	Bilkent University	TR	100	[80]	[55]	-	arxiv_only	21
99	Jerzy Kaczorowski	Adam Mickiewicz University in Poznań	PL	[46]	[55]	107	19	zb_only	43
100	Yuta Suzuki	Rikkyo University	JP	101	[80]	[55]	18	arxiv_only	7

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]).

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 that arXiv and OpenAlex under-index.

Source	Count
`zb_only`	31
`arxiv_only`	22
`arx+zb`	20
`arx+oa`	13
`all_three`	12
`oa+zb`	1
`oa_only`	1

Limitations

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