Florian Luca (born 16 March 1969, in

Galați Galați (, , ; also known by other 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 Danube River. It has been the only port for the most par ...

) is a Romanian mathematician who specializes in

number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777� ...

with emphasis on

Diophantine equation In mathematics, a Diophantine equation is an equation, typically a polynomial equation in two or more unknowns with integer coefficients, such that the only solutions of interest are the integer ones. A linear Diophantine equation equates to a c ...

s, linear recurrences and the distribution of values of

arithmetic function In number theory, an arithmetic, arithmetical, or number-theoretic function is for most authors any function ''f''(''n'') whose domain is the positive integers and whose range is a subset of the complex numbers. Hardy & Wright include in their d ...

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 ot ...

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

Alexandru Ioan Cuza University The Alexandru Ioan Cuza University (Romanian: ''Universitatea „Alexandru Ioan Cuza"''; acronym: UAIC) is a public university located in Iași, Romania. Founded by an 1860 decree of Prince Alexandru Ioan Cuza, under whom the former Academia Mih ...

Iași Iași ( , , ; also known by other alternative names), also referred to mostly historically as Jassy ( , ), is the second largest city in Romania and the seat of Iași County. Located in the historical region of Moldavia, it has traditionally ...

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

University of Alaska Fairbanks The University of Alaska Fairbanks (UAF or Alaska) is a public land-grant research university in College, Alaska, a suburb of Fairbanks. It is the flagship campus of the University of Alaska system. UAF was established in 1917 and opened for cla ...

(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. Established in 1870 with roots in the Methodist Episcopal Church, the university has been nonsectarian since 1920. Locate ...

Bielefeld University Bielefeld University (german: Universität Bielefeld) is a 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 ...

Czech Academy of Sciences The Czech Academy of Sciences (abbr. CAS, cs, Akademie věd České republiky, 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 ...

, and

National Autonomous University of Mexico The National Autonomous University of Mexico ( es, Universidad Nacional Autónoma de México, UNAM) is a public research university in Mexico. It is consistently ranked as one of the best universities in Latin America, where it's also the bigges ...

. Currently he is a research professor at the

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

. 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 grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the ar ...

for Natural Sciences, Latin America & Caribbean. Luca is one of the editors-in-chief of ''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 h ...

: 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 society, learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburg ...

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 National Autonomous University of Mexico faculty University of the Witwatersrand academics Alexandru Ioan Cuza University alumni People from Galați {{Romania-scientist-stub