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).
Equivariant cohomology
Equivariant real cycle class map and Witt-sheaf cohomology of classifying spaces. (with Lorenzo Mantovani and Matthias Wendt) (https://arxiv.org/abs/2602.20367)
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) Journal of Algebraic Combinatorics (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 Adrián Csiszárik, Péter Kőrösi-Szabó, Gergely Papp, Dániel 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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