Spyridon Kakaroumpas
Postdoctoral Researcher
Julius-Maximilians-Universität Würzburg
Institut für Mathematik
Campus Hubland Nord
Emil-Fischer-Straße 40
97074 Würzburg, Germany
Email: spyridon.kakaroumpas [at] uni-wuerzburg.de
I am currently a postdoc at the Institute of Mathematics at the University of Würzburg in Germany, mentored by Professor Stefanie Petermichl. I completed my PhD in spring 2020 at Brown University, advised by Professor Sergei Treil. Here is my curriculum vitae.
Research
My research interests revolve around harmonic analysis, in particular weighted estimates for classical operators, and connections with probability theory, partial differential equations and noncommutative measure theory. Here is my research statement.
Papers and Preprints
Boundedness of Journé operators with matrix weights, joint with K. Domelevo, S. Petermichl, and O. Soler i Gibert, preprint arXiv:2102.03395 (submitted)
Dyadic lower little BMO estimates, joint with K. Domelevo, S. Petermichl, and O. Soler i Gibert, preprint arXiv:2012.10201 (submitted)
Dyadic product BMO in the Bloom setting, joint with O. Soler i Gibert, preprint arXiv:2011.01769 (submitted)
Two-weight estimates for sparse square functions and the separated bump conjecture, to appear in Trans. Amer. Math. Soc., preprint arXiv:1908.02867
"Small step" remodeling and counterexamples for weighted estimates with arbitrarily "smooth" weights, joint with Sergei Treil, Adv. Math. 376 (2021)
A note on a two-weight estimate for the dyadic square function, Proc. Amer. Math. Soc. 147 (2019), p. 3377 – 3388
Current and Past Teaching
Fall 2019: Linear Algebra (MATH0520), Instructor
Fall 2018: Introductory Calculus II (MATH0100), Instructor
Fall 2017: Introductory Calculus II (MATH0100), Teaching assistant
Fall 2016: Introductory Calculus I (MATH0090), Teaching assistant
(all at Brown University)
In fall 2016 I completed the Certificate I program through the Sheridan Center for Teaching and Learning. In December 2019 I was awarded the Outstanding Teaching Award by the Department of Mathematics at Brown University. Here is my teaching statement.