The Top 100

Researchers active on Goldbach and adjacent problems

The list is sortable on any column. Type in the search box to filter by name, institution, or country.

Rank	Name	Institution	Country	arXiv rank	OA rank	Source	First year	Last year
1	Terence Tao	University of California, Los Angeles	US	1	1	both	2004	2025
2	Trevor D. Wooley	Purdue University West Lafayette	US	7	3	both	2003	2024
3	Igor E. Shparlinski	UNSW Sydney	AU	8	2	both	2013	2025
4	Kaisa Matomäki	Turku University of Applied Sciences	FI	6	7	both	2015	2024
5	William D. Banks	University of Missouri	US	13	8	both	2007	2025
6	Joni Teräväinen	University of Cambridge	GB	2	23	both	2015	2025
7	James Maynard	University of Oxford	GB	9	20	both	2012	2020
8	Andrew Granville	Université de Montréal	CA	15	16	both	2001	2026
9	Xuancheng Shao	University of Kentucky	US	3	30	both	2012	2024
10	Jean Bourgain	Institute for Advanced Study	US	11	27	both	2011	2016
11	Janos Pintz	Alfréd Rényi Institute of Mathematics	HU	40	4	both	2006	2025
12	Ben Green	Mathematical Institute of the Slovak Academy of Sciences	SK	4	43	both	2003	2014
13	D. A. Goldston	San Jose State University	US	43	6	both	2004	2021
14	Tim Browning	Institute of Science and Technology Austria	AT	34	17	both	2012	2022
15	Carl Pomerance	Dartmouth College	US	17	39	both	2009	2020
16	Alessandro Languasco	University of Padua	IT	48	26	both	2010	2018
17	Chantal David	Concordia University	CA	31	44	both	2007	2025
18	D. R. Heath-Brown	University of Oxford	GB	69	11	both	2002	2016
19	Alexandru Zaharescu	University of Illinois Urbana-Champaign	US	12	72	both	2018	2024
20	Roger Baker	Brigham Young University	US	57	29	both	2015	2019
21	Olivier Ramaré	Château Gombert	FR	56	32	both	2016	2022
22	Doychin Tolev	Sofia University "St. Kliment Ohridski"	BG	66	22	both	2009	2016
23	Paul Pollack	University of Georgia	US	37	53	both	2009	2017
24	Alessandro Zaccagnini	University of Parma	IT	44	48	both	2010	2026
25	Jinjiang Li	Shanghai Jiao Tong University	CN	41	54	both	2016	2026
26	Florian Luca	Stellenbosch University	ZA	85	13	both	2009	2019
27	Min Zhang	Beijing Information Science & Technology University	CN	42	57	both	2016	2026
28	Gautami Bhowmik	Université de Lille	FR	18	83	both	2008	2025
29	Emmanuel Kowalski	ETH Zurich	CH	62	40	both	2005	2025
30	Angel Kumchev	Towson University	US	89	14	both	2017	2018
31	Steven J. Miller	Williams College	US	74	33	both	2012	2023
32	Jared Duker Lichtman	University of Oxford	GB	5	109	both	2018	2023
33	Will Sawin	Princeton University	US	25	89	both	2018	2025
34	Henryk Iwaniec	Rutgers, The State University of New Jersey	US	106	9	both	2016	2022
35	Greg Martin	University of British Columbia	CA	24	97	both	1998	2018
36	H. A. Helfgott	ParisTech	FR	104	18	both	2012	2013
37	Stephan Baier	Ramakrishna Mission Vidyamandira	IN	39	84	both	2006	2025
38	K. Soundararajan	Stanford University	US	86	37	both	2005	2015
39	S. I. Dimitrov	Sofia University "St. Kliment Ohridski"	BG	45	79	both	2016	2026
40	Stephan Ramon Garcia	Pomona College	US	51	77	both	2017	2020
41	Ping Xi	Xi'an Jiaotong University	CN	59	78	both	2011	2025
42	Alex Kontorovich	Rutgers, The State University of New Jersey	US	88	50	both	2010	2014
43	Étienne Fouvry	Université Paris-Saclay	FR	94	47	both	2012	2025
44	Karin Halupczok	Heinrich Heine University Düsseldorf	DE	20	127	both	2007	2021
45	Helmut Maier	Helmholtz-Institute Ulm	DE	105	45	both	2016	2023
46	Ph. Michel	Université Paris-Sud	FR	91	62	both	2013	2015
47	Jie Wu	Centre National de la Recherche Scientifique	FR	95	59	both	2007	2008
48	John Friedlander	University of Toronto	CA	142	12	both	2018	2022
49	Victor Z. Guo	Xi'an Jiaotong University	CN	55	106	both	2015	2025
50	Tianxin Cai	Tongji University	CN	136	25	both	2014	2015
51	Jörg Brüdern	University of Göttingen	DE	-	5	oa_only	1991	2024
52	Julia Brandes	Chalmers University of Technology	SE	52	111	both	2012	2021
53	Robert J. Lemke Oliver	Tufts University	US	83	82	both	2014	2021
54	Liangyi Zhao	Shandong University	CN	101	64	both	2006	2008
55	Tsz Ho Chan	University of Memphis	US	23	143	both	2002	2020
56	Jianya Liu	Shandong University	CN	-	10	oa_only	1996	2025
57	Nicolas Robles	University of Illinois Urbana-Champaign	US	21	147	both	2017	2025
58	Hao Pan	Nanjing University of Finance and Economics	CN	53	116	both	2007	2019
59	Zhi-Wei Sun	Nanjing University	CN	130	41	both	2008	2012
60	Maksym Radziwiłł	Northwestern University	US	-	15	oa_only	2015	2024
61	Clifford Keeble	University of Southampton	GB	-	19	oa_only	2025	2026
62	Alexander P. Mangerel	Durham University	GB	10	166	both	2017	2025
63	Pieter Moree	Max Planck Institute for Mathematics	DE	-	21	oa_only	1998	2024
64	Lior Bary-Soroker	Tel Aviv University	IL	103	75	both	2010	2017
65	Glyn Harman	Royal Holloway University of London	GB	-	24	oa_only	1981	2024
66	Theresa C. Anderson	Carnegie Mellon University	US	82	100	both	2017	2021
67	Richard P. Brent	University of Oxford	GB	-	28	oa_only	1969	2012
68	R. C. Vaughan	Pennsylvania State University	US	-	31	oa_only	1973	2022
69	Alberto Perelli	University of Genoa	IT	-	34	oa_only	1985	2019
70	J. P. Keating	University of Oxford	GB	125	66	both	2006	2019
71	Yoichi Motohashi	Nihon University	JP	-	35	oa_only	1974	2014
72	Antal Balog	Franz Liszt Academy of Music	HU	-	36	oa_only	1985	2013
73	Jan-Christoph Schlage-Puchta	University of Rostock	DE	97	96	both	2008	2011
74	Koichi Kawada	Iwate University	JP	-	38	oa_only	1993	2019
75	Efthymios Sofos	University of Glasgow	GB	67	128	both	2017	2025
76	Shuntaro Yamagishi	Institute of Science and Technology Austria	AT	30	168	both	2015	2024
77	M. Ram Murty	Queen's University	CA	-	42	oa_only	1987	2025
78	H. J. Weber	University of Virginia	US	58	142	both	2011	2012
79	Lasse Grimmelt	University of Oxford	GB	16	186	both	2018	2025
80	C. Y. Yıldırım	National Research, Development and Innovation Office	HU	-	46	oa_only	1998	2020
81	Joël Rivat	Institut de Mathématiques de Marseille	FR	-	49	oa_only	1995	2025
82	Daniel Shanks	Purdue University West Lafayette	US	-	51	oa_only	1960	1995
83	Amos Nevo	Technion – Israel Institute of Technology	IL	90	118	both	2009	2017
84	Hugh L. Montgomery	University of Michigan	US	-	52	oa_only	1971	2026
85	Michael Th. Rassias	Hellenic Military Academy	GR	107	103	both	2016	2023
86	Ofir Gorodetsky	Technion – Israel Institute of Technology	IL	29	184	both	2018	2023
87	Kevin Hughes	University of Bristol	GB	36	178	both	2015	2022
88	Damaris Schindler	Utrecht University	NL	65	151	both	2013	2022
89	Peter Sarnak	Princeton University	US	-	60	oa_only	1986	2013
90	Malik Bataineh	Jordan University of Science and Technology	JO	-	61	oa_only	2008	2022
91	Ade Irma Suriajaya	Kyushu University	JP	60	158	both	2020	2024
92	Christian Elsholtz	Graz University of Technology	AT	-	63	oa_only	2001	2026
93	Tao Zhan	Shandong University	CN	-	65	oa_only	1993	2006
94	Vivian Kuperberg	ETH Zurich	CH	78	146	both	2020	2023
95	Hiroshi Mikawa	NA	NA	-	68	oa_only	1987	2007
96	Tianze Wang	North China University of Water Resources and Electric Power	CN	-	69	oa_only	1991	2019
97	Bryce Kerr	University of Canberra	AU	22	204	both	2012	2019
98	Valentin Blomer	University of Bonn	DE	-	70	oa_only	2005	2024
99	З. Х. Рахмонов	Academy of Sciences of the Republic of Tajikistan	TJ	-	73	oa_only	2003	2025
100	Guangshi Lü	Shandong University	CN	-	74	oa_only	2004	2011

Provenance breakdown

both: in arXiv 155 AND OpenAlex top pool. The unanimous core.
oa_only: discovered by OpenAlex but not arXiv-active. These are senior figures who publish in journals and don't post preprints.
arxiv_only: present only if at least one arXiv-only entry made the sum_rank cutoff.
manual_add: manually inserted via gb_manual_additions.csv.

Source	Count
`both`	74
`oa_only`	26

Limitations

This list reflects publication output and citation network density, not subjective importance. A working theorist whose entire body of Goldbach work is one influential paper may rank lower than a productive researcher with many adjacent papers.