Péter Varjú

Péter Varjú
Born	Szeged, Hungary
Nationality	Hungarian
Alma mater	Princeton University
Awards	EMS Prize Whitehead Prize
Scientific career
Fields	Mathematics
Institutions	Cambridge University
Thesis	Random walks and spectral gaps in linear groups  (2011)
Doctoral advisor	Jean Bourgain

Péter Varjú is a Hungarian mathematician who works in harmonic analysis and ergodic theory. He is a professor at the University of Cambridge.

Education and career

Varjú was born in Szeged. He did his undergraduate studies at the University of Szeged ^[1] and his doctoral studies at Princeton University, where he defended his thesis Random walks and spectral gaps in linear groups in 2011 under the supervision of Jean Bourgain. ^[2]

He works at the University of Cambridge, as a professor in the Department of Pure Mathematics and Mathematical Statistics. ^[3]

Research

Varjú studied the construction of expander graphs with number-theoretic methods involving arithmetic groups ^[A] and questions about the uniform distribution of random walks in arithmetic groups with Bourgain ^[B] and in Euclidean isometries with Elon Lindenstrauss. ^{[C] [D]}

Recognition

Varjú received the 2016 EMS Prize ^[4] and the 2018 Whitehead Prize. ^[5] As a graduate student at Princeton, he was also a Fulbright Fellow. ^[1]

Selected publications

A.	Golsefidy, A. Salehi; Varjú, Péter P. (2012), "Expansion in perfect groups", Geometric and Functional Analysis , 22 (6): 1832–1891, arXiv: 1108.4900 , doi:10.1007/s00039-012-0190-7, MR   3000503

B.	Bourgain, Jean; Varjú, Péter P. (2012), "Expansion in ${\displaystyle SL_{d}(\mathbb {Z} /q\mathbb {Z} )}$, ${\displaystyle q}$ arbitrary", Inventiones Mathematicae , 188 (1): 151–173, arXiv: 1006.3365 , doi:10.1007/s00222-011-0345-4, MR   2897695

C.	Lindenstrauss, Elon; Varjú, Péter P. (2016), "Random walks in the group of Euclidean isometries and self-similar measures", Duke Mathematical Journal , 165 (6): 1061–1127, arXiv: 1405.4426 , doi:10.1215/00127094-3167490, MR   3486415

D.	Varjú, Péter Pál (2015), "Random walks in Euclidean space", Annals of Mathematics , 2nd Series, 181 (1): 243–301, arXiv: 1205.3399 , doi:10.4007/annals.2015.181.1.4, MR   3272926

References

1. "International Fulbright S&T Fellows: 2007 – 2010", International Fulbright Science & Technology Award: Capstone Seminar for 2007-2010 International Fulbright Science & Technology Fellows (PDF), Fulbright Program, June 2010, p. 17, retrieved 24 July 2025
2. Péter Varjú at the Mathematics Genealogy Project
3. "Professor Peter Varju", Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, retrieved 24 July 2025
4. "Prizes Awarded at the ECM" (PDF), Mathematics People, Notices of the American Mathematical Society , 63 (9): 1064–1065, October 2016
5. "Prizes of the London Mathematical Society" (PDF), Mathematics People, Notices of the American Mathematical Society , 65 (9): 1122, October 2018

External links

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