Florian Luca (born 16 March 1969, in

Galați Galați ( , , ; also known by other #Etymology and names, alternative names) is the capital city of Galați County in the historical region of Western Moldavia, in eastern Romania. Galați is a port town on the river Danube. and the sixth-larges ...

) is a Romanian mathematician who specializes in

number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...

with emphasis on

Diophantine equation ''Diophantine'' means pertaining to the ancient Greek mathematician Diophantus. A number of concepts bear this name: *Diophantine approximation In number theory, the study of Diophantine approximation deals with the approximation of real n ...

s, linear recurrences and the distribution of values of

arithmetic function In number theory, an arithmetic, arithmetical, or number-theoretic function is generally any function whose domain is the set of positive integers and whose range is a subset of the complex numbers. Hardy & Wright include in their definition th ...

s. He has made notable contributions to the proof that irrational automatic numbers are transcendental and the proof of a conjecture of Erdős on the intersection of the

Euler Totient function In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to . It is written using the Greek letter phi as \varphi(n) or \phi(n), and may also be called Euler's phi function. In oth ...

and the sum of divisors function. Luca graduated with a BS in Mathematics from

Alexandru Ioan Cuza University The Alexandru Ioan Cuza University (; acronym: UAIC) is a public university located in , Romania. Founded by an 1860 decree of Prince Alexandru Ioan Cuza, under whom the former was converted to a university, the University of , as it was named ...

Iași Iași ( , , ; also known by other #Etymology and names, alternative names), also referred to mostly historically as Jassy ( , ), is the Cities in Romania, third largest city in Romania and the seat of Iași County. Located in the historical ...

(1992), and Ph.D. in Mathematics from the

University of Alaska Fairbanks The University of Alaska Fairbanks (UAF or Alaska) is a public university, public Land-grant university, land-, National Sea Grant College Program, sea-, and National Space Grant College and Fellowship Program, space-grant research university in ...

(1996). He has held various appointments at

Syracuse University Syracuse University (informally 'Cuse or SU) is a Private university, private research university in Syracuse, New York, United States. It was established in 1870 with roots in the Methodist Episcopal Church but has been nonsectarian since 1920 ...

Bielefeld University Bielefeld University () is a public university in Bielefeld, Germany. Founded in 1969, it is one of the country's newer universities, and considers itself a "reform" university, following a different style of organization and teaching than the e ...

Czech Academy of Sciences The Czech Academy of Sciences (abbr. CAS, , abbr. AV ČR) was established in 1992 by the Czech National Council as the Czech successor of the former Czechoslovak Academy of Sciences and its tradition goes back to the Royal Bohemian Society of Sc ...

National Autonomous University of Mexico The National Autonomous University of Mexico (, UNAM) is a public university, public research university in Mexico. It has several campuses in Mexico City, and many others in various locations across Mexico, as well as a presence in nine countri ...

and the

University of the Witwatersrand The University of the Witwatersrand, Johannesburg (), commonly known as Wits University or Wits, is a multi-campus Public university, public research university situated in the northern areas of central Johannesburg, South Africa. The universit ...

. Currently he is a professor at

Stellenbosch University Stellenbosch University (SU) (, ) is a public research university situated in Stellenbosch, a town in the Western Cape province of South Africa. Stellenbosch is the oldest university in South Africa and the oldest extant university in Sub-Sahara ...

. He has co-authored over 500 papers in mathematics with more than 200 co-authors. He is a recipient of the award of a 2005

Guggenheim Fellowship Guggenheim Fellowships are Grant (money), grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation, endowed by the late Simon Guggenheim, Simon and Olga Hirsh Guggenheim. These awards are bestowed upon indiv ...

for Natural Sciences, Latin America & Caribbean. Luca is an

editor-in-chief An editor-in-chief (EIC), also known as lead editor or chief editor, is a publication's editorial leader who has final responsibility for its operations and policies. The editor-in-chief heads all departments of the organization and is held accoun ...

of ''

Research in Number Theory ''Research in Number Theory'' is a peer-reviewed mathematics journal covering number theory and arithmetic geometry. The editors-in-chief are Jennifer Balakrishnan (Boston University), Florian Luca (University of Witwatersrand), Ken Ono (University ...

'' and ''INTEGERS: the Electronic Journal of Combinatorial Number Theory'', and an editor of the ''

Fibonacci Quarterly The ''Fibonacci Quarterly'' is a scientific journal on mathematical topics related to the Fibonacci numbers, published four times per year. It is the primary publication of The Fibonacci Association, which has published it since 1963. Its founding ...

''.Editorial Team

, Accessed August 14, 2015

Selected works

* with Boris Adamczewski, Yann Bugeaud: Sur la complexité des nombres algébriques, Comptes Rendus Mathématique. Académie des Sciences. Paris 339 (1), 11-14, 2013 * with Kevin Ford,

Carl Pomerance Carl Bernard Pomerance (born 1944 in Joplin, Missouri) is an American number theorist. He attended college at Brown University and later received his Ph.D. from Harvard University in 1972 with a dissertation proving that any odd perfect number ...

: Common values of the arithmetic functions Φ and σ,

Bulletin of the London Mathematical Society The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Soc ...

42 (3), 478-488, 2010 * with

Jean-Marie De Koninck Jean-Marie De Koninck, (born 1948) is a Canadian mathematician. He has served as a professor at Université Laval since 1972 and is the creator of the road safety program Opération Nez Rouge, or "Red Nose Operation", a system preventing people ...

: Analytic Number Theory: Exploring the Anatomy of Integers, American Mathematical Society, 2012 * Diophantine Equations - Effective Methods for Diophantine Equations, 2009
Online pdf file

References

External links

* * 1969 births Living people Romanian mathematicians University of Alaska Fairbanks alumni Syracuse University faculty Academic staff of Bielefeld University Academic staff of the National Autonomous University of Mexico Academic staff of the University of the Witwatersrand Alexandru Ioan Cuza University alumni People from Galați {{Romania-scientist-stub