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Ana Zumalacárregui

Institution: University of New South Wales, Australia

Position: Research Associate

Office: --       Phone: --

E-mail: a.zumalacarregui(at)

Personal Webpage


Biographical Review

I was born in 1986 in Madrid, Spain. I studied Mathematics at Universidad Autónoma de Madrid (Licenciatura en Matemáticas por la UAM) and spent one year in Bergen, Norway, to study at Universitetet i Bergen with the Erasmus Student Exchange Programme.

In 2010 I obtained a Master's Degree in Mathematics and Applications from Universidad Autónoma de Madrid. My Master's Thesis, which was supervised by Adolfo Quirós, was centered on Mordell-Weil's Theorem and the theoretical difficulties to compute the rank of an elliptic curve.

I obtained my Doctoral Degree at Mathematics Depatment from Universidad Autónoma de Madrid in January 2015 and was funded by the Spanish Ministry of Education as a member of the Training University Lecturers Programme (FPU). My thesis was entitled: Congruence problems and questions regarding sequences of numbers, and supervised by Professor Javier Cilleruelo.


Research Interest

Additive and combinatorial number theory.

Concentration and distrubution of solutions to equations in congruences. Arithmetical structures in random sets.



Ana Zumalacárregui, Concentration of points on modular quadratic forms, International Journal of Number Theory 7, no.7 (2011), 1835-1839.

Javier Cilleruelo, Igor Shparlinski and Ana Zumalacárregui, Isomorphism classes of elliptic curves over a finite field in some thin families, Mathematical Research Letters 19, no. 2 (2012).

Javier Cilleruelo, Florian Luca, Juanjo Rué and Ana Zumalacárregui, On the sum of digits of some sequences of integers, Central European Journal of Mathematics 11 no.1 (2013), 188-195 .

Juanjo Rué, Paulius Šarka and Ana Zumalacárregui, On the error term of the logarithm of the lcm of a quadratic sequence, Journal de Théorie des Nombres de Bordeaux 25, no. 2 (2013), p. 457-470.

Javier Cilleruelo and Ana Zumalacárregui, An additive problem in finite fields with powers of elements of large multiplicative order, Revista Matemática Complutense 27, no.2 (2014) 501-508.

Javier Cilleruelo, Juanjo Rué, Paulius Šarka and Ana Zumalacárregui, The least common multiple of sets of positive integers, Journal of Number Theory (2014), 92-104.

Mei-Chu Chang, Javier Cilleruelo, Moubariz Z. Garaev, José Hernández, Igor E. Shparlinski, Ana Zumalacárregui Points on curves in small boxes and applications,  Michigan Mathematical Journal 63 (2014), 503-534.

Pieter Moree and Ana Zumalacárregui, Salajan's conjecture on discriminating terms in an exponential sequence, Journal of Number Theory 160, (2016) 646–665.



Juanjo Rué and Ana Zumalacárregui, Threshold functions for systems of equations on random sets.
Javier Cilleruelo and Ana Zumalacárregui, Saving the logarithmic factor in the error term estimates of some congruence problems.