Ákos K. Matszangosz
Postdoctoral Research Fellow at the Alfréd Rényi Institute of Mathematics
I am currently a Postdoctoral Research Fellow at the Alfréd Rényi Institute of Mathematics. I am interested in real enumerative problems, generalized and equivariant cohomology and its applications to intersection theory (Schubert calculus, degeneracy loci and Thom polynomials).
Contact: matszangosz.akos at gmail dot com
Publications:
Ákos K. Matszangosz, Matthias Wendt. 4-torsion classes in the integral cohomology of oriented Grassmannians. (arXiv preprint)
Ákos K. Matszangosz, Matthias Wendt. The mod 2 cohomology rings of oriented Grassmannians via Koszul complexes. (arXiv preprint)
Thomas Hudson, Ákos K. Matszangosz, Matthias Wendt. Chow-Witt rings and topology of flag varieties. (arXiv preprint)
László M. Fehér, Ákos K. Matszangosz. Halving spaces and lower bounds in real enumerative geometry. Algebraic & Geometric Topology 22 (2022) 433–472 (arXiv).
Ákos K. Matszangosz. On the cohomology rings of real flag manifolds: Schubert calculus. Math. Ann. 381, 1537–1588 (2021). (arXiv). See below for implementation.
Ákos K. Matszangosz. Borel-Haefliger type theorems, PhD thesis, 2019, Central European University.
László M. Fehér, Ákos K. Matszangosz. Real solutions of a problem in enumerative geometry. Periodica Mathematica Hungarica, 73(2):137–156 (2016). (arXiv)
Miklós Laczkovich, Ákos K. Matszangosz. On the linear Denjoy property of two-variable continuous functions. Colloquium Mathematicae, 141(2):157–173, (2015). (preprint)
Ákos K. Matszangosz. The Denjoy-Young-Saks theorem in higher dimensions: a survey. Real Analysis Exchange, 40(1):1–36, (2015). (preprint)
Software
if you don't have SageMath installed, you can try it online using mybinder:
Compute the cohomology of your own real flag manifold! (it takes a few minutes to load since mybinder has to load SageMath..)