Alexandru Ciolan

Mathematical Institute
University of Cologne
Weyertal 86-90
50931 Cologne
Germany
me Office: Gyrhofstr. 8b 0.5
Telephone: +49 (0)221 470 1886
Office hours: Thursday, 14:00-15:00
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

Asymptotics and inequalities for partitions into squares, submitted.

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

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.