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	Trevor D. Wooley	Purdue University West Lafayette	US	1	12	1	28	all_three	36
2	Jinjiang Li	China University of Mining and Technology (Beijing)	CN	3	8	24	6	all_three	-
3	Janos Pintz	Alfréd Rényi Institute of Mathematics	HU	8	19	5	26	all_three	50
4	Daniel A. Goldston	San Jose State University	US	10	56	17	21	all_three	45
5	Min Zhang	Beijing Information Science and Technology University	CN	4	[80]	27	44	arx+zb	-
6	Terence Tao	University of California, Los Angeles	US	7	27	59	101	all_three	30
7	Igor E. Shparlinski	UNSW Sydney	AU	14	18	35	42	all_three	46
8	Joni Teräväinen	University of Cambridge	GB	2	24	117	9	all_three	8
9	Jörg Brüdern	University of Göttingen	DE	126	23	2	19	all_three	38
10	R. C. Vaughan	Pennsylvania State University	US	[49]	[86]	3	35	zb_only	56
11	Kaisa Matomäki	University of Turku	FI	13	70	33	16	all_three	17
12	Tianze Wang	Henan Academy of Sciences	CN	[50]	[86]	6	2	zb_only	35
13	Yingchun Cai	Tongji University	CN	[48]	[71]	9	27	zb_only	31
14	D. R. Heath-Brown	University of Oxford	GB	51	[80]	8	45	arx+zb	47
15	Jianya Liu	Shandong University	CN	[48]	[71]	11	14	zb_only	31
16	Alessandro Languasco	University of Padua	IT	56	[89]	7	12	arx+zb	30
17	Stephan Baier	Ramakrishna Mission Vivekananda Educational and Research Institute	IN	11	51	79	14	all_three	26
18	Alessandro Zaccagnini	University of Parma	IT	49	[80]	12	14	arx+zb	32
19	Glyn Harman	Royal Holloway University of London	GB	[48]	[71]	14	19	zb_only	44
20	Hongze Li	Shanghai Jiao Tong University	CN	[48]	[71]	15	-	zb_only	36
21	Koichi Kawada	Iwate University	JP	[49]	[71]	16	9	zb_only	32
22	Xuancheng Shao	University of Kentucky	US	5	61	126	10	all_three	12
23	Guangshi Lü	Shandong University	CN	[48]	[70]	18	17	zb_only	22
24	Jared Duker Lichtman	Stanford University	US	9	96	[76]	4	arx+oa	3
25	András Sárközy	Eötvös Loránd University	HU	[48]	[70]	22	31	zb_only	57
26	Roger C. Baker	Brigham Young University	US	39	154	13	34	all_three	55
27	Zhixin Liu	Tianjin University	CN	[44]	[70]	26	-	zb_only	15
28	Andrew Granville	Université de Montréal	CA	21	60	91	32	all_three	39
29	Liqun Hu	Nanchang University	CN	[47]	[70]	28	5	zb_only	-
30	Alexander P. Mangerel	Durham University	GB	19	90	[74]	6	arx+oa	8
31	Angel Kumchev	Towson University	US	41	173	19	12	all_three	25
32	Jean‐Marc Deshouillers	Université de Bordeaux	FR	[47]	[70]	32	16	zb_only	54
33	M. Ram Murty	Queen's University	CA	[36]	113	31	25	oa+zb	46
34	Chaohua Jia	Chinese Academy of Sciences	CN	[48]	[70]	34	11	zb_only	39
35	Daniel R. Johnston	Max Planck Institute for Mathematics	DE	12	[98]	131	4	arx+zb	-
36	Doychin Tolev	Sofia University "St. Kliment Ohridski"	BG	47	112	30	10	all_three	25
37	Alberto Perelli	University of Genoa	IT	[47]	[70]	37	20	zb_only	50
38	Kevin Ford	University of Illinois Urbana-Champaign	US	32	[80]	60	-	arx+zb	32
39	Matteo Bordignon	KTH Royal Institute of Technology	SE	15	175	[79]	13	arx+oa	5
40	James Maynard	University of Oxford	GB	23	[97]	93	11	arx+zb	13
41	William D. Banks	University of Missouri	US	28	71	108	21	all_three	32
42	Runbo Li	The High School Affiliated to Renmin University of China	CN	25	[90]	[92]	-	arxiv_only	-
43	Huafeng Liu	Shandong Normal University	CN	[47]	[70]	41	55	zb_only	9
44	Carl Pomerance	Dartmouth College	US	[47]	[70]	42	39	zb_only	54
45	Wenguang Zhai	China University of Mining and Technology (Beijing)	CN	[41]	[71]	44	13	zb_only	30
46	Alexandru Zaharescu	University of Illinois Urbana-Champaign	US	30	101	78	24	all_three	35
47	Lasse Grimmelt	University of Cambridge	GB	17	199	[77]	2	arx+oa	7
48	Jori Merikoski	University of Helsinki	FI	22	[100]	121	2	arx+zb	5
49	Karin Halupczok	Heinrich Heine University Düsseldorf	DE	26	[96]	107	5	arx+zb	25
50	Kai-Man Tsang	University of Hong Kong	HK	[44]	[71]	47	8	zb_only	42
51	Christian Elsholtz	Graz University of Technology	AT	[44]	[71]	49	13	zb_only	28
52	V. N. Chubarikov	Lomonosov Moscow State University	RU	[44]	[71]	50	-	zb_only	49
53	Ben Green	University of Oxford	GB	24	[104]	136	5	arx+zb	23
54	Jie Wu	Université Paris-Est Créteil Val-de-Marne	FR	151	[117]	20	19	arx+zb	36
55	Shuntaro Yamagishi	University of Bonn	DE	31	[98]	124	5	arx+zb	11
56	Tao Zhan	Shandong University	CN	[47]	[71]	54	17	zb_only	39
57	Adrian Dudek	University of Queensland	AU	40	[90]	[87]	5	arxiv_only	10
58	Claus Bauer	Dolby Laboratories	US	[47]	[71]	55	7	zb_only	30
59	Will Sawin	Princeton University	US	16	135	171	10	all_three	10
60	Jesse Thorner	University of Illinois Urbana-Champaign	US	43	[90]	[83]	9	arxiv_only	10
61	Xianmeng Meng	Shandong University of Finance and Economics	CN	[47]	[71]	56	7	zb_only	-
62	Hao Pan	Nanjing University of Finance and Economics	CN	102	[84]	43	17	arx+zb	20
63	Scott T. Parsell	West Chester University of Pennsylvania	US	[47]	[71]	58	8	zb_only	27
64	Peter D. T. A. Elliott	University of Colorado Boulder	US	[44]	[71]	61	19	zb_only	57
65	Jiseong Kim	University of Mississippi	US	27	[108]	185	20	arx+zb	3
66	Ayla Gafni	University of Mississippi	US	48	[90]	[83]	-	arxiv_only	10
67	Roger J. Cook	Queensland University of Technology	AU	[44]	[71]	63	15	zb_only	55
68	Olivier Ramaré	Aix-Marseille Université	FR	101	[84]	48	15	arx+zb	35
69	Kevin Hughes	Independent	GB	36	[97]	160	8	arx+zb	14
70	Quanwu Mu	Xian Polytechnic University	CN	[44]	[71]	64	5	zb_only	-
71	Henryk Iwaniec	Rutgers University	US	130	193	23	50	all_three	54
72	Antal Balog	Alfréd Rényi Institute of Mathematics	HU	[44]	[71]	65	18	zb_only	35
73	Fei Xue	China University of Mining and Technology (Beijing)	CN	37	106	144	-	all_three	-
74	Yong-Gao Chen	Nanjing Normal University	CN	[44]	[71]	66	-	zb_only	34
75	I. A. Allakov	Termez State University	UZ	[47]	[71]	68	-	zb_only	43
76	Wenxu Ge	North China University of Water Resources and Electric Power	CN	[47]	[71]	69	4	zb_only	-
77	Etienne Fouvry	Université Paris-Saclay	FR	141	[116]	40	28	arx+zb	45
78	Lilu Zhao	University of Science and Technology of China	CN	161	[116]	38	10	arx+zb	23
79	John B. Friedlander	University of Toronto	CA	91	161	46	34	all_three	54
80	Paul Pollack	University of Georgia	US	154	132	36	13	all_three	18
81	Ritabrata Munshi	Tata Institute of Fundamental Research	IN	34	151	143	12	all_three	20
82	Cameron L. Stewart	University of Waterloo	CA	[47]	[86]	73	20	zb_only	50
83	S. I. Dimitrov	Technical University of Sofia	BG	57	186	57	6	all_three	-
84	Imre Kátai	Eötvös Loránd University	HU	[47]	[86]	76	15	zb_only	60
85	Timothy S. Trudgian	UNSW Canberra	AU	50	[97]	170	13	arx+zb	16
86	Xiumin Ren	Shandong University	CN	[47]	[86]	77	11	zb_only	25
87	H. A. Helfgott	Université Paris Cité	FR	58	[101]	116	19	arx+zb	23
88	Brian Cook	-	US	72	[93]	[78]	5	arxiv_only	14
89	Z. Kh. Rakhmonov	Institute of Mathematics, National Academy of Sciences of Tajikistan	TJ	[49]	[101]	80	6	zb_only	40
90	Minggao Lu	Shanghai University	CN	[49]	[101]	81	3	zb_only	-
91	Damaris Schindler	University of Göttingen	DE	64	[98]	132	7	arx+zb	13
92	Efthymios Sofos	University of Rome Tor Vergata	IT	65	[101]	122	7	arx+zb	11
93	Helmut Maier	Universität Ulm	DE	68	[101]	105	18	arx+zb	45
94	Michael Th. Rassias	Hellenic Military Academy	GR	69	163	[73]	24	arx+oa	12
95	Hiroshi Mikawa	University of Tsukuba	JP	[48]	[101]	86	-	zb_only	36
96	Valeriia Starichkova	UNSW Canberra	AU	79	[93]	[78]	2	arxiv_only	3
97	Rainer Dietmann	Royal Holloway University of London	GB	178	[102]	62	11	arx+zb	26
98	Jiahai Kan	Nanjing University of Posts and Telecommunications	CN	[49]	[104]	88	2	zb_only	-
99	Victor Zhenyu Guo	Xi'an Jiaotong University	CN	84	[96]	[81]	4	arxiv_only	9
100	Emmanuel Kowalski	ETH Zurich	CH	112	[110]	75	29	arx+zb	28

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`	38
`arx+zb`	25
`all_three`	24
`arxiv_only`	7
`arx+oa`	5
`oa+zb`	1

Limitations

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