Dr. Kaloyan Slavov

Kaloyan Slavov CV

Address:
Department of Mathematics
ETH Zürich
Rämistrasse 101
8092 Zürich

Office: HG G 27.1
Phone: +41 44 632 6351
Email: kaloyan.slavov [at] math.ethz.ch

The official webpage of the ETH Math Youth Academy is here .

Publications

  • Nearly sharp Lang–Weil bounds for a hypersurface,
    Canadian Mathematical Bulletin, 66 (2), 2023, pp. 654–664.
    doi | arXiv
  • The proportion of derangements characterizes the symmetric and alternating groups (with B. Poonen),
    Bulletin of the London Mathematical Society, 54 (2022), no. 4, 1439–1447.
    doi | arXiv
  • The exceptional locus in the Bertini irreducibility theorem for a morphism (with B. Poonen),
    International Mathematics Research Notices, rnaa182, 2022 (2022), no. 6, pp. 4503–4513.
    doi | arXiv
  • Factorization type probabilities of polynomials with prescribed coefficients over a finite field,
    Acta Arithmetica, 194 (2020), 315–318.
    doi | arXiv
  • An application of random plane slicing to counting $\mathbb{F}_q$-points on hypersurfaces,
    Finite Fields and Their Applications, 48 (2017), 60–68.
    doi | arXiv
  • The Hilbert polynomial of a symbolic square,
    Communications in Algebra, 44 (2016), no. 3, 1265–1274.
    doi | arXiv
  • An algebraic geometry version of the Kakeya problem,
    Finite Fields and Their Applications, 37 (2016), 158–178.
    doi | arXiv
  • The moduli space of hypersurfaces whose singular locus has high dimension,
    Mathematische Zeitschrift, 279 (2015), no. 1, 139–162.
    doi | arXiv
  • Variants of the Kakeya problem over an algebraically closed field,
    Archiv der Mathematik, 103 (2014), no. 3, 267–277.
    doi | arXiv

Preprints

  • Sets preserved by a large subgroup of the special linear group (with Le Quang Hung, T. Pham),
    arXiv:2501.01697
  • Square values of several polynomials over a finite field,
    arXiv:2407.10538

Theses

  • Gross-Stark units for totally real number fields,
    Bachelor's thesis (Harvard),
    download
  • Ribet's converse to Herbrand,
    Part III essay (Cambridge),
    download