**Institution**: University of New South Wales, Australia

**Position**: Research Associate

**Office**: -- **Phone**: --

**E-mail**: a.zumalacarregui(at)unsw.edu.au

#### 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.

#### Publications

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) 646â€“665*.*

**Preprints:**