## Alexandru Ciolan

Mathematical Institute
University of Cologne
Weyertal 86-90
50931 Cologne
Germany
Office: Gyrhofstr. 8b 0.5
Telephone: +49 (0)221 470 1886
Office hours: Thursday, 13:00-14:00 (and by appointment)
E-mail: aciolan AT math.uni-koeln.de

Since August 2017, I am a PhD student of Prof. Dr. Kathrin Bringmann at the University of Cologne.

My main research interests are in number theory, particularly in modular forms and partitions. Further interests lie in more elementary topics like cyclotomic polynomials, numerical semigroups or discriminators of integer sequences.

Previously I obtained my M.Sc. degree from the University of Bonn and my B.Sc. degree from Jacobs University Bremen.

### Teaching

Summer 2018: Seminar Elliptische Funktionen

### Publications and Preprints

Browkin's discriminator conjecture, to appear in Colloq. Math.;
with Pieter Moree

Counting terms $U_n$ of third order linear recurrences $U_n=u^2+nv^2$, J. Ramanujan Math. Soc. 32 (2017), No. 2, 165-183;
with Florian Luca and Pieter Moree

Cyclotomic coefficients: gaps and jumps, J. Number Theory 163 (2016), 211-237;
with Oana-Maria Camburu, Florian Luca, Pieter Moree and Igor E. Shparlinski

Cyclotomic numerical semigroups, SIAM J. Discrete Math. 30 (2016), No. 2, 650-668;
with Pedro A. García-Sánchez and Pieter Moree

Convergence properties of the classical and generalized Rogers-Ramanujan continued fraction, Res. Number Theory 1 (2015), Art. 15, 18 pp.;
with Robert A. Neiss

Olimpiadele de matematica cls. IX-XII, 2008 (in Romanian, Olympiads textbook; translation to English: Mathematical Olympiads for the 9-12th grades, 2008), GIL Publishing House, Zalau, 2008;
with Dragos Dumitrescu et al.

### Talks

Asymptotics and inequalities for partitions into squares, ABKLS, Nov. 2018, Utrecht, The Netherlands

Asymptotics and inequalities for partitions into squares, PLeaSANT (Participative Learning Seminar in Analytic Number Theory) and ELAZ 2018 (speed talk), Sept. 2018, MPIM Bonn, Germany

Cyclotomic numerical semigroups, SFB Retreat, Sept. 2017, Maria in der Aue, Germany

Gaps and jumps in cyclotomic coefficients, ELAZ 2016 - Conference on Elementary and Analytic Number Theory, Sept. 2016, Strobl am Wolfgangsee, Austria

Cyclotomic numerical semigroups I, International Meeting on Numerical Semigroups with Applications, July 2016, Levico Terme, Italy

Convergence properties of the classical and generalized Rogers-Ramanujan continued fraction, Discoverers avant le PhD, Sept. 2015, MPIM Bonn, Germany

Cyclotomic numerical semigroups, International Meeting on Numerical Semigroups, Sept. 2014, Cortona, Italy