I am an H.C. Wang Assistant Professor at Cornell University. I had completed my PhD at Eötvös University, Budapest, under the supervision of M. Elekes in 2021, after which I was an IASH postdoc at the Hebrew University of Jerusalem hosted by Saharon Shelah.
My research focuses primarily on mathematical logic and its connections with other areas of mathematics, most notably with set theory, algebra, combinatorics, measure theory and descriptive set theory.
Papers
- Small-large subgroups of locally compact Abelian Polish groups . J.
Math. Anal. Appl. 478, no. 2, pp 345-356. 2019.
- (with M. Elekes, D. Nagy, Z. Vidnyánszky) A Haar meager set that is not strongly Haar meager ., Israel J. Math. 235, pp 91-109., 2020.
- Answer to a question of Ros\l{}anowski and Shelah., J. Math. Log. 21. no. 3, 2021.
- (with M. Elekes) Cardinal invariants of Haar null and Haar meager sets ., P. Roy. Soc. Edinb. A.
151, no. 5, pp. 1568 - 1594. 2021.
- On the spectra of cardinalities of branches of Kurepa trees. , Arch. Math. Log. 60, no. 7, pp. 927-966., 2021.
- (with R. Balka, M. Elekes, V. Kiss) Singularity of maps of several variables and a problem of Mycielski concerning prevalent homeomorphisms , Adv. Math. 385, 2021.
- (with S. Shelah) Characterizing the spectra of cardinalities of branches of Kurepa trees ., Pac. J. Math. 311. no. 2, pp. 423–453. 2021.
- (with M. Elekes, J. Flesch, V. Kiss, A. Predtetchinski) Games characterizing limsup functions and Baire class 1 functions , J. Symb. Log. 87. no. 4, pp. 1459-1473. 2022.
- (with R. Balka, M. Elekes, V. Kiss, D. Nagy) Compact sets with large projections and nowhere dense sumset . Nonlinearity 36. pp. 5190–5215. 2023.
- (with S. Shelah) Universal graphs between a strong limit singular and its power a>. to appear in Trans. Amer. Math. Soc.
- (with S. Shelah) Between uniformization and Whitehead groups ., submitted
- (with M. Elekes, Z. Vidnyánszky) Closed regularity of Haar positive sets and the complexity of the Haar null ideal , submitted
- (with M. Elekes, Z. Vidnyánszky) On planar sets meeting every line in a set of measure one.,
in preparation
- (with S. Shelah) On the weak Borel chromatic number and cardinal invariants of the continuum , submitted
- (with A. Rinot) A Shelah group in ZFC , Forum Math. Pi. Vol. 13. e13. 2025
- (with S. Shelah) Universal graphs at the successors of small singular cardinals., in preparation
- (with S. Solecki) Projective Fra\"issé limits and homeomorphisms of the pseudoarc ., submitted