Ákos K. Matszangosz
Postdoctoral Research Fellow at the Alfréd Rényi Institute of Mathematics
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Research interests: Generalized and equivariant cohomology and its applications to real and complex intersection theory (Schubert calculus, degeneracy loci and Thom polynomials).
My position is supported by the Hungarian NRDI Office post-doctoral grant OTKA PD 145995.
Contact: matszangosz.akos at gmail dot com
GEOMETRY AND TOPOLOGY
Thom polynomials, global singularity theory
Obstructions for Morin and fold maps: Stiefel-Whitney classes and Euler characteristics of singularity loci. (with László M. Fehér) (2025) Journal of the London Math. Soc. (arXiv:2502.07379)
Cohomology of homogeneous spaces
4-torsion classes in the integral cohomology of oriented Grassmannians. (with Matthias Wendt) Proc. A Royal Soc. Edinburgh (arXiv:2403.06897)
The mod 2 cohomology rings of oriented Grassmannians via Koszul complexes. (with Matthias Wendt) Math. Zeit. 308, 2 (2024) (arXiv:2310.11129)
Chow-Witt rings and topology of flag varieties. (with Thomas Hudson and Matthias Wendt) Journal of Topology 17, 4 (2024), (arXiv:2302.11003)
On the cohomology rings of real flag manifolds: Schubert calculus. Math. Ann. 381, 1537–1588 (2021). (arXiv:1910.11149).
Schubert calculus, real enumerative geometry
Halving spaces and lower bounds in real enumerative geometry. (with László M. Fehér) Algebraic & Geometric Topology 22: 433–472 (2022) (arXiv:2006.11251).
Real solutions of a problem in enumerative geometry. (with László M. Fehér) Periodica Mathematica Hungarica, 73, 2:137–156 (2016). (arXiv:1401.4638)
PhD thesis: Borel-Haefliger type theorems, 2019, Central European University.
OTHER TOPICS
Complex Hadamard matrices, MUBs
Triplets of Mutually Unbiased Bases. (with Máté Matolcsi, Dániel Varga, Mihály Weiner) (2025) (arXiv:2503.14752)
A characterization of complex Hadamard matrices appearing in families of MUB triplets. (with Ferenc Szöllősi) Designs, Codes and Cryptography 92: 4313–4333, (2024) (arXiv:2405.09991)
Machine learning
Similarity and Matching of Neural Network Representations. (with A. Csiszárik, P. Kőrösi-Szabó, G. Papp, D. Varga) NeurIPS (2021) pp. 5656-5668.
Analysis
On the linear Denjoy property of two-variable continuous functions. (with Miklós Laczkovich) Colloquium Mathematicae, 141(2):157–173, (2015). (preprint)
The Denjoy-Young-Saks theorem in higher dimensions: a survey. Real Analysis Exchange, 40(1):1–36, (2015). (preprint)
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