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Curriculum vitae

Person Identification
  • Prof. RNDr. Radan Kučera, DSc.
    born 19. 7. 1960, Brno
    married, 2 children
Workplace
  • Masaryk University
    Faculty of Science
    Department of Mathematics and Statistics
    Kotlářská 2
    611 37 Brno
    Czech Republic
Employment Position
  • professor
Education and Academic Qualifications
  • 2005 professorship appointment, Mathematics-Algebra and Number Theory, Faculty of Science, Masaryk University, Brno
  • 2005: the "Doctor of Science" degree DSc., The Academy of Sciences of the Czech Republic, Prague, dissertation thesis "A study of class groups of abelian fields by means of circular units"
  • 1994: habilitation, algebra and number theory, Masaryk University, Brno, thesis "Stickelberger ideal and circular units"
  • 1990: the CSc. degree (=Ph.D.), algebra and number theory, Masaryk University, Brno
  • 1983: RNDr., pure mathematics, Masaryk University, Brno
Employment Summary
  • from 2005: professor at Department of Mathematics, Faculty of Science, Masaryk University, Brno
  • 1994-2005: associate professor at the same department
  • 1993-1994: senior assistant at the same department
  • 1991-1993: postdoctoral research fellow at Department of Mathematics and Statistics, Laval University, Quebec, Canada
  • 1989-1991: senior assistant at Department of Mathematics, Faculty of Science, Masaryk University, Brno
  • 1986-1989: Ph.D. study
  • 1983-1986: assistant at the same department
Recent Academical Stays
  • 2013, 2014, and 2016 Quebec (Canada)
  • every year several times Munich (Germany)
Recent talks at conferences abroad (selected)
  • ALANT 5 - Joint Conferences on Algebra, Logic and Number Theory, Bedlewo, Poland, 2018, talk On the zeroth cohomology group of Sinnott's module
  • Number Theory Week 2017, Poznań, Poland, talk Annihilating class groups by means of units
  • Quebec/Maine Number Theory Conference, Quebec, Canada, 2016, talk On special units in abelian number fields
  • research school Number Theory and Applications organized by International Center for Pure and Applied Mathematics in Oujda, Morocco, 2015, an invited series of three lectures and one seminar Circular units
  • ALANT 3 - Joint Conferences on Algebra, Logic and Number Theory, Bedlewo, Poland, 2014, invited plenary talk Linear forms on Sinnott's module
  • Maine/Quebec Number Theory Conference, Orono, U.S.A., 2013, opening plenary talk On the class group of a cyclic field of odd prime power degree
  • Hawai'i Conference in Algebraic Number Theory, Arithmetic Geometry and Modular Forms, U.S.A., 2012, Eigenspaces of the ideal class group
  • 3rd International Workshop on Number Theory, Oujda, Morocco, 2012, Eigenspaces of the ideal class group
Selected Publications
  • BERNARD, Olivier and Radan KUČERA. A short basis of the Stickelberger ideal of a cyclotomic field. Mathematics of Computation. American Mathematical Society, 2024, vol. 93, March 2024, p. 887-909. ISSN 0025-5718. Available from: https://dx.doi.org/10.1090/mcom/3863. URL info
  • FRANCÍREK, Pavel and Radan KUČERA. Annihilators of the Ideal Class Group of an Imaginary Abelian Number Field. MICHIGAN MATHEMATICAL JOURNAL. UNITED STATES: MICHIGAN MATHEMATICAL JOURNAL, 2023. ISSN 0026-2285. Available from: https://dx.doi.org/10.1307/mmj/20226190. URL info
  • GREITHER, Cornelius Johannes and Radan KUČERA. On the compositum of orthogonal cyclic fields of the same odd prime degree. Canadian Journal of Mathematics-Journal canadien de mathématiques. Cambridge: Cambridge University Press, 2021, vol. 73, No 6, p. 1506-1530. ISSN 0008-414X. Available from: https://dx.doi.org/10.4153/S0008414X20000589. URL info
  • CHAPDELAINE, Hugo and Radan KUČERA. Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. CAMBRIDGE: CAMBRIDGE UNIV PRESS, 2019, vol. 71, No 6, p. 1395-1419. ISSN 0008-414X. Available from: https://dx.doi.org/10.4153/CJM-2018-035-9. Full Text info
  • KUČERA, Radan. On a theorem of Thaine. Journal of Number Theory. San Diego: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017, vol. 173, April, p. 416-424. ISSN 0022-314X. Available from: https://dx.doi.org/10.1016/j.jnt.2016.09.020. info
  • KUČERA, Radan and Azar SALAMI. Circular units of an abelian field ramified at three primes. Journal of Number Theory. Elsevier, 2016, vol. 163, June, p. 296-315. ISSN 0022-314X. Available from: https://dx.doi.org/10.1016/j.jnt.2015.11.023. info
  • KUČERA, Radan. The circular units and the Stickelberger ideal of a cyclotomic field revisited. Acta Arithmetica. Institute of Mathematics, Polish Academy of Sciences, 2016, vol. 174, No 3, p. 217-238. ISSN 0065-1036. Available from: https://dx.doi.org/10.4064/aa8009-4-2016. info
  • GREITHER, Cornelius and Radan KUČERA. Annihilators for the class group of a cyclic field of prime power degree III. Publ. Math. Debrecen. Kossuth Lajos Tudományegyetem, 2015, vol. 86, 3-4, p. 401-421. ISSN 0033-3883. info
  • GREITHER, Cornelius and Radan KUČERA. Linear forms on Sinnott's module. Journal of Number Theory. Academic Press, 2014, vol. 141, August, p. 324-342. ISSN 0022-314X. Available from: https://dx.doi.org/10.1016/j.jnt.2014.02.003. URL info
  • GREITHER, Cornelius and Radan KUČERA. Eigenspaces of the ideal class group. Annales de l'Institut Fourier. Grenoble: Université Joseph Fourier Grenoble, 2014, vol. 64, No 5, p. 2165-2203. ISSN 0373-0956. Available from: https://dx.doi.org/10.5802/aif.2908. URL info
  • KUČERA, Radan. On Annihilators of the Class Group of an Imaginary Compositum of Quadratic Fields. Acta Arithmetica. Varšava, Polsko: Matematický institut Polské akademie věd, 2010, vol. 143, No 3, p. 257-269. ISSN 0065-1036. info
  • GREITHER, Cornelius and Radan KUČERA. The Minus Conjecture revisited. Journal für die reine und angewandte Mathematik. Berlín: Walter de Gruyter & co, 2009, vol. 632, No 1, p. 127-142. ISSN 0075-4102. URL info
  • GREITHER, Cornelius and Radan KUČERA. On a conjecture concerning minus parts in the style of Gross. Acta Arithmetica. 2008, vol. 132, No 1, p. 1-48. ISSN 0065-1036. info
  • KUČERA, Radan. On the class number of a compositum of real quadratic fields: an approach via circular units. Functiones et Approximatio Commentarii Mathematici. Poznaň: Adam Mickiewicz University, 2008, vol. 39, No 2, p. 179-189. ISSN 0208-6573. info
  • GREITHER, Cornelius and Radan KUČERA. Annihilators of minus class groups of imaginary abelian fields. Annales de l'Institut Fourier. Grenoble: Université Joseph Fourier Grenoble, 2007, vol. 57, No 5, p. 1623-1653. ISSN 0373-0956. URL info
  • GREITHER, Cornelius and Radan KUČERA. Annihilators for the class group of a cyclic field of prime power degree II. Canadian Journal of Mathematics. Kanada, 2006, vol. 58, No 3, p. 580-599. ISSN 0008-414X. info
  • KUČERA, Radan. Circular units and class groups of abelian fields. Annales des sciences mathématiques du Québec. Montréal (Québec), Kanada: Association mathématique du Québec, 2005, vol. 28, 1-2, p. 121-136. ISSN 0707-9109. info
  • GREITHER, Cornelius and Radan KUČERA. Annihilators for the class group of a cyclic field of prime power degree. Acta Arithmetica. 2004, vol. 112, No 2, p. 177-198. ISSN 0065-1036. info
  • HERMAN, Jiří, Radan KUČERA and Jaromír ŠIMŠA. Counting and Configurations: Problems in Combinatorics, Arithmetic, and Geometry. 1st ed. New York: Springer-Verlag, 2003, 410 pp. Canadian Mathematical Society Books in Math., 12. ISBN 0-387-95552-6. info
  • KUČERA, Radan. A note on circular units in Zp-extensions. Journal de Théorie des Nombres de Bordeaux. Bordeaux, Francie: Institut de Mathématiques de Bordeaux, 2003, vol. 15, No 1, p. 223-229. ISSN 1246-7405. info
  • GREITHER, Cornelius and Radan KUČERA. The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems. Annales de l'Institut Fourier. Grenoble: Université Joseph Fourier Grenoble, 2002, vol. 52, No 3, p. 735-777. ISSN 0373-0956. info
  • GREITHER, Cornelius, Radan KUČERA and Said HACHAMI. Racines d'unités cyclotomiques et divisibilité du nombre de classes d'un corps abélien réel (Roots of cyclotomic units and divisibility of the class number of real abelian fields). Acta Arithmetica. Warszawa: Instytut Matematyczny PAN, 2001, vol. 96, No 3, p. 247-259. ISSN 0065-1036. info
  • KUČERA, Radan. Formulae for the relative class number of an imaginary abelian field in the form of a determinant. Nagoya Mathematical Journal. Japonsko: Graduate School of Math., Nagoya Univ., 2001, vol. 163, No 1, p. 167-191. ISSN 0027-7630. info
  • HERMAN, Jiří, Radan KUČERA and Jaromír ŠIMŠA. Equations and Inequalities: Elementary Problems and Theorems in Algebra and Number Theory. 1st ed. New York: Springer-Verlag, 2000, 355 pp. Canadian Mathematical Society Books in Math., 1. ISBN 0-387-98942-0. info
  • KUČERA, Radan. A note on Sinnott's definition of circular units of an abelian field. Journal of Number Theory. 1997, vol. 63, No 2, p. 403-407. ISSN 0022-314X. info
  • KUČERA, Radan. On the Stickelberger ideal and circular units of a compositum of quadratic fields. Journal of Number Theory. 1996, vol. 56, No 1, p. 139-166. ISSN 0022-314X. info
  • KUČERA, Radan and Jan NEKOVÁŘ. Cyclotomic units in Zp-extensions. Journal of Algebra. 1995, vol. 171, No 2, p. 457-472. ISSN 0021-8693. info
  • KUČERA, Radan. On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic field. Journal of Number Theory. Academic Press, 1992, vol. 40, p. 284-316. ISSN 0022-314X. info

2018/10/09

Curriculum vitae: prof. RNDr. Radan Kučera, DSc. (učo 59), version: English(1), last update: 2018/10/09 15:29, R. Kučera