Průniky algebry, geometrie a informatiky
Intersections of algebra, geometry, and informatics
Projekt univerzitních výzkumných center UNCE/24/SCI/022 (interní číslo: 301–44/204087)
Cílem projektu je podporovat mladé vědce pracující v oblastech, v nichž se prolínají algebra, geometrie a informatika. Projekt trvá v období 1. 1. 2024 – 31. 12. 2029 na Matematicko-fyzikální fakultě Univerzity Karlovy.
Senioři:
Postdoci:
- Stanislav Nagy
- Jan Kotrbatý
- Isaac Bird
- Jordan Williamson
- Souvik Dey
- Jun Maillard
- Michael Kompatscher
- Pavlo Yatsyna
- Dayoon Park
Studenti:
- Dominick Beck
- Antonio Del Donno
- Daria Dunina
- Maroš Grego
- Iva Karafiátová
- Erik Kočandrle
- Aibat Kossumov
- Phoebe MacDougall
- Michal Molnár
- Adam Morawski
- Martina Petráková
- Yagmur Sak
- Filippo Spaggiari
- Tomáš Vítek
Bývalí účastníci na projektu:
- Bernardo Rossi (postdoc)
- Chiara Sava
- Ondřej Ježil
- Mykyta Narusevych
- Yifan Zhang
- Om Prakash
- Bryant Rosado Silva
- Frederik Ďalak
- Aaron Kettner
- Martin Zika
Manažerka grantu:
Publikace:
- J. Kotrbatý. On a generalization of Godbersen's conjecture. https://arxiv.org/abs/2502.02149
- I. Bird, J. Williamson, A. Zvonareva. The shift-homological spectrum and parametrising kernels of rank functions. https://arxiv.org/abs/2502.11939
- D. Beck, Z. Lv, A. Potechin. On the second moment of the determinant of random symmetric, Wigner, and Hermitian matrices. https://arxiv.org/abs/2409.14620
- D. Beck.On Random Simplex Picking Beyond the Blashke Problem.https://arxiv.org/abs/2412.07952
- S. Balchin, J.P.C. Greenlees, L. Pol, J. Williamson. Torsion models for tensor-triangulated categories. https://arxiv.org/abs/2501.05180
- A. Del Donno, E. Latini, T. Weber. On the Durdevic approach to quantum principal bundles. https://arxiv.org/abs/2404.07944
- E. Ken, M. Narusevych. Ajtai's theorem for T22® and pebble games with backtracking. https://arxiv.org/abs/2406.10924
- O. Ježil. Limits of structures and Total NP Search Problems. https://arxiv.org/abs/2301.13603
- N. Daans, V. Kala, S. H. Man, M. Widmer, P. Yatsyna. Most totally real fields do not have universal forms or Northcott property. https://arxiv.org/abs/2409.11082
- O. Chwiedziuk, M. Doležálek, S. Hlavinková, E. Pěchoučková, Z. Pezlar, O. Prakash, A. Růžičková, M. Zindulka. No proper generalized quadratic forms are universal over quadratic fields. https://arxiv.org/abs/2409.07941
- N. Daans, V. Kala, J. Krásenský, P. Yatsyna. Failures of integral Springer's theorem. https://arxiv.org/abs/2404.12844
- O. Chwiedziuk, M. Doležálek, E. Pěchoučková, Z. Pezlar, O. Prakash, G. Romeo, A. Růžičková, M. Zindulka. Representing rational integers by generalized quadratic forms over quadratic fields https://arxiv.org/abs/2403.07171
- V. Kala, P. Yatsyna. Even better sums of squares over quintic and cyclotomic fields. https://arxiv.org/abs/2402.03850
- M. Kompatscher, P. Mayr. Every finite nilpotent loop has a supernilpotent loop as reduct. https://arxiv.org/abs/2409.12484
- O. Prakash. Northcott property and universality of higher degree forms. Int. J. Number Theory (to appear). https://doi.org/10.48550/arXiv.2407.19974
- G. Cherubini, P. Yatsyna. There are Salem numbers with trace −3 and every degree at least 34. Exp. Math. To appear. https://doi.org/10.1080/10586458.2024.2337223
- V. Kala, O. Prakash (2024). There is no 290-Theorem for higher degree forms. Math. Nachr. (to appear). https://arxiv.org/abs/2405.10660
- Aaron Kettner (2024). Cuntz–Pimsner algebras of partial automorphisms twisted by vector bundles I: Fixed point algebra, simplicity and the tracial state space. https://doi.org/10.48550/arXiv.2408.10047
- Filip Bočinec, Stanislav Nagy (2024). Conditions for equality in Anderson’s theorem, Statistics & Probability Letters. https://doi.org/10.1016/j.spl.2024.110094
- Xiaohui Liu, Yuzi Liu, Petra Laketa, Stanislav Nagy, Yuting Chen (2024). Exact and approximate computation of the scatter halfspace depth. Computational Statistics, To appear. doi.org/10.1007/s00180–024–01500–6
- Stanislav Nagy, Petra Laketa (2024). Theoretical properties of angular halfspace depth. Bernoulli, To appear.
