Aner Shalev, born in 1958 in Israel, holds a position as a professor at the Einstein Institute of Mathematics at the Hebrew University of Jerusalem. While his professional life centers on the rigorous demands of group theory, he simultaneously maintains a career as an author, exploring formal experimentation within his literary compositions.
Academic Foundation and Early Career
Shalev spent his formative years in Beit Berl after being born in Kibbutz Kinneret. At age 18, he relocated to Jerusalem to begin his studies in mathematics and philosophy at the Hebrew University. He completed his doctoral thesis in 1989 under the supervision of Professors Amitsur and Mann, earning a Ph.D. summa cum laude for work concerning group rings. Following post-doctoral research at Oxford University and the University of London, he returned to Israel in 1992 to join the faculty of the Hebrew University, eventually achieving the rank of full professor by 1996.
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The core of Shalev's research involves group theory, supplemented by methods drawn from Lie algebras and probability. He is noted for his role in solving the coclass conjectures concerning the structure of p-groups and pro-p groups. His work frequently involves collaborative efforts with international peers, resulting in approximately 120 mathematical articles published in various journals. He serves on the editorial boards for the Israel Journal of Mathematics, the Journal of Group Theory, and the Journal of Algebra.
Probabilistic Methods and Word Maps
Beginning in 1995, Shalev pioneered the application of probabilistic techniques to finite simple groups. A key outcome of this approach, achieved with Martin Liebeck, demonstrates that nearly every pair of elements in a finite simple group generates that group. Beyond these probability-based findings, Shalev has collaborated with Michael J. Larsen to analyze the behavior of word maps on groups, proving Waring-type theorems. Notably, he successfully proved the 1951 Ore conjecture, which posits that every element in a non-cyclic finite simple group functions as a commutator.
Literary Pursuits
Parallel to his scientific output, Shalev has published literary works. His debut, Opus 1, appeared in 1988 through Keter publishing house and won the Harry Harishon Prize in 1986. The collection utilizes a musical superstructure, with the author applying concepts of rhythm and composition to narrative structure. In the story 'Absence', Shalev designed the plot as a crossword puzzle, highlighting his ongoing interest in formal linguistic and structural experimentation.
Fast facts
- Born: 1958, Israel
- Education: Hebrew University of Jerusalem
- Primary Field: Mathematics
- Academic Rank: Full Professor
- Notable Recognition: ERC Advanced Grant (2010–2014)
- Literary Debut: Opus 1 (1988)
- Spouse: Donna Shalev
- Languages: Hebrew
Questions readers ask
What is the primary focus of Aner Shalev's mathematical research?
His work centers on group theory, specifically utilizing probabilistic methods and Lie algebras to solve problems related to finite simple groups, p-groups, and word maps.
Does Aner Shalev work in fields other than mathematics?
Yes, he is also an author who writes fiction, often incorporating formal experimentation and musical structures into his narratives.
Achievements
- Fields: mathematics
