## 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: Tuesday, 15:30-16:30
E-mail: aciolan AT math.uni-koeln.de

Since August 2017, I am a PhD student of Prof. 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 and 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

Winter 2019/20: Algebraic Number Theory II, Teaching Assistant

Winter 2018/19: Algebra, Teaching Assistant

Summer 2018: Seminar Elliptische Funktionen

### Publications and Preprints

Ranks of overpartitions: Asymptotics and inequalities, accepted for publication in J. Math. Anal. Appl.

Asymptotics and inequalities for partitions into squares, accepted for publication in Int. J. Number Theory

Browkin's discriminator conjecture, Colloq. Math. 156 (2019), no. 1, 25-56
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 matematică cls. IX-XII, 2008 (in Romanian, Olympiads textbook), GIL Publishing House, Zalău, 2008
with Dragoş Dumitrescu et al

### Talks

New results on asymptotics and inequalities for partition functions, OPSFA, 07/2019, Hagenberg, Austria

Asymptotics and inequalities for partitions into squares, ABKLS, 11/2018, Utrecht; PLeaSANT Seminar and ELAZ, 09/2018, Bonn, Germany

Cyclotomic numerical semigroups, SFB Retreat, 09/2017, Maria in der Aue, Germany

Gaps and jumps in cyclotomic coefficients, ELAZ, 09/2016, Strobl am Wolfgangsee, Austria

Cyclotomic numerical semigroups I, IMNSA, July 2016, Levico Terme, Italy

Convergence properties of the classical and generalized Rogers-Ramanujan continued fraction, Discoverers avant le PhD, 09/2015, Bonn, Germany

Cyclotomic numerical semigroups, IMNS, 09/2014, Cortona, Italy