SPTR

Meet the team

Previous Members

Martin Čech 

Nicolas Daans

Siu Hang Man

Publications

1. An effective version of the Kuznetsov trace formula for GSp(4), 59 pp. (F. Comtat, D. Lesesvre, S. H. Man)

2. The u-invariant of function fields in one variable, 22 pp. (K. J. Becher, N. Daans, V. Mehmeti)

3. Pythagoras numbers for infinite algebraic fields, 8 pp. (N. Daans, S. Gajović, S. H. Man, P. Yatsyna)

4. Non-decomposable quadratic forms over totally real number fields, 37 pp. (M. Tinková, P. Yatsyna) 

5. Sums of two units in number fields, 18 pp. (M. Tinková, R. Visser, P. Yatsyna) 

6. Kitaoka's Conjecture for quadratic fields, 27 pp. (V. Kala, J. Krásenský, D. Park, P. Yatsyna, B. Żmija) 

7. Multiple Dirichlet series predictions for moments of L-functions: unitary, symplectic and orthogonal examples, 25 pp. (S. Baluyot, M. Čech)

8. On optimality of mollifiers, 48 pp. (M. Čech, K. Matomäki)

9. Counting principal ideals of small norm in the simplest cubic fields, 19 pp. (M. Zindulka)

10. Adaptive Special Soundness: Improved Knowledge Extraction by Adaptive Useful Challenge Sampling,  93 pp. (T. Attema, M. Klooß, R. W. F. Lai, P. Yatsyna)

11. Totally positive elements with m partitions exist in almost all real quadratic fields, 19 pp. (M. Zindulka)

12. Most totally real fields do not have universal forms or Northcott property, 12 pp. (N. Daans, V. Kala, S. H. Man, M. Widmer, P. Yatsyna)

13. No proper generalized quadratic forms are universal over quadratic fields, 7 pp. (O. Chwiedziuk, M. Doležálek, S. Hlavinková, E. Pěchoučková, Z. Pezlar, O. Prakash, A. Růžičková, M. Zindulka)

14. Northcott property and universality of higher degree forms, 15 pp. (O. Prakash)

15. There is no 290-Theorem for higher degree forms, 12 pp. (V. Kala, O. Prakash)

16. Sums of Hurwitz class numbers, CM modular forms, and primes of the form x2+ny2, 13 pp. (M. Zindulka)

17. Failures of integral Springer's Theorem, 10 pp. Proc. Am. Math. Soc., (to appear) (N. Daans, V. Kala, J. Krásenský, P. Yatsyna) 

18. Universally defining subrings in function fields, 43 pp. (N. Daans, P. Dittmann)

19. Sails for universal quadratic forms, Sel. Math. New Ser., (2025) (V. Kala, S.H. Man)

20. Even better sums of squares over quintic and cyclotomic fields, 19 pp. (V. Kala, P. Yatsyna)

21. Linkage of Pfister forms over semi-global fields, 23 pp. (N. Daans)

22. Real quadratic fields with a universal form of given rank have density zero, 18 pp. (V. Kala, P. Yatsyna, B. Żmija)

23. The Pythagoras number of a rational function field in two variables, 24 pp. (K. J. Becher, N. Daans, D. Grimm, G. Manzano-Flores, M. Zaninelli)

24. There are Salem numbers with trace −3 and every degree at least 34, Exp. Math., (2024), 1–6. (G. Cherubini, P. Yatsyna).