Assist. Prof. Dr. Klemen Šivic

Department
Department of Mathematics
Office
J21 501
Phone
+386 1 4766 549
Int. no.
549
Links:

2023/24

Algebra 1 (Mat)

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Izbrana poglavja iz algebre: Sheme (2. stopnja Mat)

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Matematika 3 (FE)

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2022/23

Algebra 1 (FIN)

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Uvod v algebraično geometrijo (2. stopnja Mat)

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2021/22

Algebra 1 (Mat)

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Matematika 3 (FE)

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Elementarna teorija števil (PeMat in Mat)

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2020/21

Algebra 1 (FIN)

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Papers

  1. Jordan structures of nilpotent matrices in the centralizer of a nilpotent matrix with two Jordan blocks of the same size (with Duško Bogdanić, Alen Đurić, Sara Koljančić and Polona Oblak) Linear Algebra and its Applications, vol. 690, 2024, p. 59 - 90
    arxiv

  2. The solution of the Loewy-Radwan conjecture (with Matjaž Omladič)
    Linear and Multilinear Algebra, 2023
    arxiv

  3. On approximate commutativity of spaces of matrices (with Matjaž Omladič and Heydar Radjavi)
    Linear Algebra and its Applications, vol. 676, 2023, p. 251 - 266
    arxiv

  4. Commuting varieties and cohomological complexity theory (with Paul Levy and Nham Vo Ngo)
    Journal of the London Mathematical Society, vol. 106, iss. 4, 2022, 2847 - 2883
    arxiv

  5. Components and singularities of Quot schemes and varieties of commuting matrices (with Joachim Jelisiejew)
    Journal für die reine und angewandte Mathematik, iss. 788, 2022, p. 129 - 187
    arxiv

  6. Higher-distance commuting varieties (with Madeleine Elyze, Alexander Guterman and Ralph Morrison)
    Linear and Multilinear Algebra, vol. 70, no. 17, 2022, p. 3248 - 3270
    arxiv

  7. Local and global reducibility of spaces of nilpotent matrices (with Mitja Mastnak, Matjaž Omladič and Heydar Radjavi)
    Linear Algebra and its Applications, vol. 611, 2021, p. 260 - 278

  8. New examples of extremal positive linear maps (with Anita Buckley)
    Linear Algebra and its Applications, vol. 598, 2020, p. 110 - 144
    arxiv

  9. There are many more positive maps than completely positive maps (with Igor Klep, Scott McCullough and Aljaž Zalar)
    International mathematics research notices, vol. 2019, iss. 11, p. 3313 - 3375
    arxiv

  10. On certain graded representations of filiform Lie algebras (with Janez Bernik)
    Linear and Multilinear Algebra, vol. 66, iss. 11, 2018, p. 2305 - 2327

  11. On the dimension of the algebra generated by two positive semi-commuting matrices (with Marko Kandić)
    Linear Algebra and its Applications, vol. 512, 2017, p. 136 - 161
    arxiv

  12. On the positive commutator in the radical (with Marko Kandić)
    Positivity, vol. 21, iss. 1, 2017, p. 99 - 111
    arxiv

  13. Exotic one-parameter semigroups of endomorphisms of a symmetric cone (with Bojan Kuzma, Matjaž Omladič and Josef Teichmann)
    Linear Algebra and its Applications, vol. 477, 2015, p. 42 - 75
    arxiv

  14. On varieties of commuting nilpotent matrices (with Nham Vo Ngo)
    Linear Algebra and its Applications, vol. 452, 2014, p. 237 - 262
    arxiv

  15. On varieties of commuting triples III
    Linear Algebra and its Applications, vol. 437, iss. 2, 2012, p. 393 - 460

  16. On varieties of commuting triples II
    Linear Algebra and its Applications, vol. 437, iss. 2, 2012, p. 461 - 489

  17. Jet schemes of the commuting matrix pairs scheme (with Bharath Al Sethuraman)
    Proceedings of the American Mathematical Society, vol. 137, no. 12, 2009, p. 3953 - 3967
    arxiv

  18. On varieties of commuting triples
    Linear Algebra and its applications, vol. 428, iss. 8-9, 2008, p. 2006 - 2029

Preprints

  1. Cross-positive linear maps, positive polynomials and sums of squares (with Igor Klep and Aljaž Zalar), preprint, 2024, 43 pages
    arxiv

Work in progress

  1. Dimensions of commuting varieties of symplectic Lie algebras (with Paul Levy and Nham Vo Ngo)