Alexandru Ciolan Mathematical Institute University of Cologne Weyertal 86-90 50931 Cologne Germany

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.

As of 10/2020, I am a Postdoctoral Researcher at the Max Planck Institute for Mathematics, Bonn.

Between 08/2017 and 09/2020, I completed my PhD studies under the guidance of Prof. Kathrin Bringmann at the University of Cologne. My research was focused on the asymptotic study of partition functions, and concluded with a doctoral dissertation that can be consulted here.

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

Teaching

Summer 2020: Elliptic Functions, Teaching Assistant

Winter 2019/20: Number Theory II, Teaching Assistant

Winter 2018/19: Algebra, Teaching Assistant

Summer 2018: Seminar Elliptische Funktionen

Equidistribtion and inequalities for partitions into powers, submitted for publication.

Asymptotics and inequalities for partitions into squares, Int. J. Number Theory 16 (2020), No. 1, 121-143 (2020)

Ranks of overpartitions: Asymptotics and inequalities, J. Math. Anal. Appl. 480 (2019), No. 2, Art. ID 123444, 28 pp.

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