The Top 100

Researchers active on the Riemann hypothesis and the zeros of zeta and L-functions

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	J. Brian Conrey	American Institute of Mathematics	US	2	20	2	28	all_three	46
2	H. M. Bui	University of Manchester	GB	4	25	9	11	all_three	18
3	J. P. Keating	University of Oxford	GB	7	57	1	40	all_three	37
4	Liangyi Zhao	UNSW Sydney	AU	1	11	56	14	all_three	37
5	Ade Irma Suriajaya	Kyushu University	JP	3	28	19	4	all_three	10
6	Antanas Laurinčikas	Vilnius University	LT	[22]	3	[45]	22	oa_only	51
7	Steven M. Gonek	University of Rochester	US	25	40	6	18	all_three	47
8	M. B. Milinovich	University of Mississippi	US	8	61	10	11	all_three	18
9	K. Soundararajan	Stanford University	US	9	43	18	33	all_three	28
10	Maksym Radziwiłł	Northwestern University	US	6	31	55	17	all_three	13
11	Andrés Chirre	Pontificia Universidad Católica del Perú	PE	10	63	13	5	all_three	7
12	Steven J. Miller	Williams College	US	5	152	3	26	all_three	24
13	Alexandru Zaharescu	University of Illinois Urbana-Champaign	US	[26]	13	[46]	24	oa_only	35
14	William D. Banks	University of Missouri	US	11	78	23	21	all_three	32
15	Nina C. Snaith	University of Bristol	GB	37	[100]	5	6	arx+zb	26
16	Takashi Nakamura	Tokyo University of Science	JP	35	56	12	12	all_three	19
17	Akio Fujii	Rikkyo University	JP	[38]	92	7	14	oa+zb	53
18	David W. Farmer	American Institute of Mathematics	US	23	110	11	18	all_three	54
19	Nathan Ng	University of Lethbridge	CA	19	99	14	13	all_three	26
20	Ramūnas Garunkštis	Vilnius University	LT	65	30	16	11	all_three	28
21	Alberto Perelli	University of Genoa	IT	[28]	22	[48]	20	oa_only	50
22	Vorrapan Chandee	Kansas State University	US	17	97	29	10	all_three	16
23	Jerzy Kaczorowski	Adam Mickiewicz University in Poznań	PL	[28]	27	[48]	19	oa_only	43
24	Christian Weiß	Ruhr West University of Applied Sciences	DE	15	82	[54]	-	arx+oa	14
25	Youness Lamzouri	Université de Lorraine	FR	18	50	91	9	all_three	17
26	P. J. Forrester	University of Melbourne	AU	[45]	[98]	21	44	zb_only	41
27	Greg Martin	University of British Columbia	CA	64	[104]	15	16	arx+zb	29
28	Christopher Hughes	University of York	GB	12	120	67	14	all_three	25
29	Michael Rubinstein	University of Waterloo	CA	40	122	20	3	all_three	43
30	Athanasios Sourmelidis	Graz University of Technology	AT	26	58	[55]	-	arx+oa	7
31	Emanuel Carneiro	The Abdus Salam International Centre for Theoretical Physics (ICTP)	IT	30	141	22	18	all_three	17
32	Sami Omar	University of Bahrain	BH	[47]	[98]	24	7	zb_only	25
33	Kamel Mazhouda	University of Sousse	TN	170	83	4	7	all_three	15
34	Kevin Ford	University of Illinois Urbana-Champaign	US	39	[104]	27	-	arx+zb	32
35	Alessandro Languasco	University of Padua	IT	29	70	52	12	all_three	30
36	Darius Šiaučiūnas	Šiauliai University	LT	[28]	39	[48]	8	oa_only	-
37	Aleksander Simonič	University of New South Wales	AU	28	108	44	-	all_three	32
38	Ján Mózer	Comenius University Bratislava	SK	[38]	38	53	10	oa+zb	-
39	Timothy S. Trudgian	Australian National University	AU	[29]	42	[48]	13	oa_only	16
40	Haseo Ki	Yonsei University	KR	[47]	[98]	30	11	zb_only	31
41	Hugh Lowell Montgomery	University of Michigan	US	[47]	[98]	31	32	zb_only	54
42	George Csordas	University of Hawaiʻi at Mānoa	US	[45]	[97]	32	21	zb_only	57
43	Juan Arias de Reyna	Universidad de Sevilla	ES	22	123	70	12	all_three	53
44	Christoph Aistleitner	Graz University of Technology	AT	27	116	[57]	15	arx+oa	18
45	Xian-Jin Li	Brigham Young University	US	[45]	[98]	33	-	zb_only	33
46	Caroline L. Turnage-Butterbaugh	Carleton College	US	31	130	37	7	all_three	12
47	Jörn Steuding	University of Würzburg	DE	[29]	45	[48]	13	oa_only	28
48	Jesse Thorner	University of Illinois Urbana-Champaign	US	14	95	135	9	all_three	10
49	Brad Rodgers	Queen's University	CA	63	[104]	28	8	arx+zb	13
50	Zeev Rudnick	Tel Aviv University	IL	34	[103]	45	32	arx+zb	36
51	Michel Balazard	Centre National de la Recherche Scientifique	FR	[43]	[97]	36	11	zb_only	39
52	Ghaith Hiary	The Ohio State University	US	20	100	100	8	all_three	18
53	Cem Yalçın Yıldırım	Boğaziçi University	TR	[45]	[96]	38	2	zb_only	36
54	André LeClair	Cornell University	US	21	164	76	24	all_three	39
55	Michel L. Lapidus	University of California, Riverside	US	[48]	190	26	31	oa+zb	46
56	Jeffrey C. Lagarias	University of Michigan	US	73	149	25	55	all_three	52
57	Matthew P. Young	Rutgers University	US	13	140	120	15	all_three	22
58	Almasa Odžak	University of Sarajevo	BA	[47]	[97]	40	6	zb_only	16
59	Bibekananda Maji	Indian Institute of Technology Indore	IN	43	98	43	11	all_three	10
60	Danilo Merlini	CERFIM	CH	58	[104]	39	-	arx+zb	-
61	Shōta Inoue	Nagoya University	JP	33	84	95	-	all_three	5
62	Stefano Beltraminelli	CERFIM	CH	42	[104]	50	5	arx+zb	-
63	Alexandra Florea	University of California, Irvine	US	36	90	80	9	all_three	9
64	Sergey K. Sekatskii	École Polytechnique Fédérale de Lausanne	CH	38	91	75	-	all_three	-
65	Atul Dixit	Indian Institute of Technology Gandhinagar	IN	32	77	132	13	all_three	14
66	Enrico Bombieri	Institute for Advanced Study	US	[48]	[97]	46	42	zb_only	63
67	Nicolas Robles	RAND Corporation	US	53	124	42	7	all_three	11
68	Kohji Matsumoto	Nagoya University	JP	94	44	61	26	all_three	40
69	A. M. Odlyzko	University of Minnesota	US	[48]	[97]	48	60	zb_only	51
70	Daniel Fiorilli	Centre National de la Recherche Scientifique	FR	47	114	51	9	all_three	15
71	Yoonbok Lee	Incheon National University	KR	[31]	62	[49]	4	oa_only	16
72	Gerhard Larcher	Johannes Kepler University of Linz	AT	46	[109]	[66]	21	arxiv_only	42
73	Michael Th. Rassias	Hellenic Military Academy	GR	126	26	138	24	all_three	12
74	Daniel A. Goldston	San Jose State University	US	[30]	66	[51]	21	oa_only	45
75	Siegfred Alan C. Baluyot	American Institute of Mathematics	US	49	105	64	-	all_three	9
76	Łukasz Pańkowski	Adam Mickiewicz University in Poznań	PL	60	89	54	-	all_three	17
77	D. R. Heath-Brown	University of Oxford	GB	[49]	[98]	57	45	zb_only	47
78	Pranendu Darbar	Norwegian University of Science and Technology	NO	51	[110]	[67]	-	arxiv_only	7
79	Machiel van Frankenhuijsen	Utah Valley University	US	[49]	[98]	58	8	zb_only	31
80	Mithun Kumar Das	Abdus Salam International Centre for Theoretical Physics	IT	55	[112]	[66]	-	arxiv_only	5
81	Peng-Jie Wong	National Sun Yat-sen University	TW	52	139	[64]	6	arx+oa	9
82	Andriy Bondarenko	Norwegian University of Science and Technology	NO	56	[112]	[66]	12	arxiv_only	-
83	Winston Heap	Independent	-	24	138	197	8	all_three	13
84	Henryk Iwaniec	Rutgers University	US	110	102	47	50	all_three	54
85	Kristian Seip	Norwegian University of Science and Technology	NO	45	195	[67]	31	arx+oa	38
86	Francesc Fité	University of Barcelona	ES	[48]	[98]	65	-	zb_only	15
87	Wenpeng Zhang	Northwest University	CN	[34]	76	[52]	25	oa_only	38
88	Neea Palojärvi	Åbo Akademi University	FI	41	[110]	147	3	arx+zb	6
89	Helmut Maier	Universität Ulm	DE	178	67	49	18	all_three	45
90	Eugene B. Bogomolny	Université Paris-Saclay	FR	[49]	[98]	66	37	zb_only	-
91	Habiba Kadiri	University of Lethbridge	CA	167	[125]	35	-	arx+zb	24
92	Zikang Dong	Tianjin University	CN	61	118	[60]	2	arx+oa	4
93	P. Moree	Max Planck Institute for Mathematics	DE	57	142	[63]	20	arx+oa	33
94	Andrew Granville	Université de Montréal	CA	[49]	[98]	68	32	zb_only	39
95	M. A. Korolev	Russian Academy of Sciences	RU	[34]	79	[52]	15	oa_only	33
96	Rizwanur Khan	University of Mississippi	US	54	167	[65]	-	arx+oa	19
97	Alain Connes	Collège de France	FR	[34]	80	[52]	73	oa_only	53
98	Ikuya Kaneko	California Institute of Technology	US	50	121	109	3	all_three	-
99	Eric Saias	Sorbonne University	FR	[50]	[98]	71	10	zb_only	36
100	Xiannan Li	Kansas State University	US	48	150	106	11	all_three	33

Source column legend

The Source column records which pipeline 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. RH is an arXiv-heavy field, so most of the list is ranked from arXiv preprint output, with OpenAlex contributing where it overlaps.

Source	Count
`all_three`	47
`zb_only`	17
`oa_only`	12
`arx+zb`	9
`arx+oa`	8
`arxiv_only`	4
`oa+zb`	3

Limitations

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