prof. RNDr. Radan Kučera, DSc.

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 a Radan KUČERA. A short basis of the Stickelberger ideal of a cyclotomic field. Mathematics of Computation. American Mathematical Society, 2024, roč. 93, March 2024, s. 887-909. ISSN 0025-5718. Dostupné z: https://dx.doi.org/10.1090/mcom/3863. URL info
• FRANCÍREK, Pavel a Radan KUČERA. Annihilators of the Ideal Class Group of an Imaginary Abelian Number Field. Michigan Mathematical Journal. University of Michigan, 2024, roč. 74, č. 5, s. 1001-1018. ISSN 0026-2285. Dostupné z: https://dx.doi.org/10.1307/mmj/20226190. URL info
• GREITHER, Cornelius Johannes a 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, roč. 73, č. 6, s. 1506-1530. ISSN 0008-414X. Dostupné z: https://dx.doi.org/10.4153/S0008414X20000589. URL info
• CHAPDELAINE, Hugo a 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, roč. 71, č. 6, s. 1395-1419. ISSN 0008-414X. Dostupné z: 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, roč. 173, April, s. 416-424. ISSN 0022-314X. Dostupné z: https://dx.doi.org/10.1016/j.jnt.2016.09.020. info
• KUČERA, Radan a Azar SALAMI. Circular units of an abelian field ramified at three primes. Journal of Number Theory. Elsevier, 2016, roč. 163, June, s. 296-315. ISSN 0022-314X. Dostupné z: 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, roč. 174, č. 3, s. 217-238. ISSN 0065-1036. Dostupné z: https://dx.doi.org/10.4064/aa8009-4-2016. info
• GREITHER, Cornelius a Radan KUČERA. Annihilators for the class group of a cyclic field of prime power degree III. Publ. Math. Debrecen. Kossuth Lajos Tudományegyetem, 2015, roč. 86, 3-4, s. 401-421. ISSN 0033-3883. info
• GREITHER, Cornelius a Radan KUČERA. Linear forms on Sinnott's module. Journal of Number Theory. Academic Press, 2014, roč. 141, August, s. 324-342. ISSN 0022-314X. Dostupné z: https://dx.doi.org/10.1016/j.jnt.2014.02.003. URL info
• GREITHER, Cornelius a Radan KUČERA. Eigenspaces of the ideal class group. Annales de l'Institut Fourier. Grenoble: Université Joseph Fourier Grenoble, 2014, roč. 64, č. 5, s. 2165-2203. ISSN 0373-0956. Dostupné z: 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, roč. 143, č. 3, s. 257-269. ISSN 0065-1036. info
• GREITHER, Cornelius a Radan KUČERA. The Minus Conjecture revisited. Journal für die reine und angewandte Mathematik. Berlín: Walter de Gruyter & co, 2009, roč. 632, č. 1, s. 127-142. ISSN 0075-4102. URL info
• GREITHER, Cornelius a Radan KUČERA. On a conjecture concerning minus parts in the style of Gross. Acta Arithmetica. 2008, roč. 132, č. 1, s. 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, roč. 39, č. 2, s. 179-189. ISSN 0208-6573. info
• GREITHER, Cornelius a Radan KUČERA. Annihilators of minus class groups of imaginary abelian fields. Annales de l'Institut Fourier. Grenoble: Université Joseph Fourier Grenoble, 2007, roč. 57, č. 5, s. 1623-1653. ISSN 0373-0956. URL info
• GREITHER, Cornelius a Radan KUČERA. Annihilators for the class group of a cyclic field of prime power degree II. Canadian Journal of Mathematics. Kanada, 2006, roč. 58, č. 3, s. 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, roč. 28, 1-2, s. 121-136. ISSN 0707-9109. info
• GREITHER, Cornelius a Radan KUČERA. Annihilators for the class group of a cyclic field of prime power degree. Acta Arithmetica. 2004, roč. 112, č. 2, s. 177-198. ISSN 0065-1036. info
• HERMAN, Jiří, Radan KUČERA a Jaromír ŠIMŠA. Counting and Configurations: Problems in Combinatorics, Arithmetic, and Geometry. 1. vyd. New York: Springer-Verlag, 2003, 410 s. 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, roč. 15, č. 1, s. 223-229. ISSN 1246-7405. info
• GREITHER, Cornelius a 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, roč. 52, č. 3, s. 735-777. ISSN 0373-0956. info
• GREITHER, Cornelius, Radan KUČERA a Said HACHAMI. Racines d'unités cyclotomiques et divisibilité du nombre de classes d'un corps abélien réel. Acta Arithmetica. Warszawa: Instytut Matematyczny PAN, 2001, roč. 96, č. 3, s. 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, roč. 163, č. 1, s. 167-191. ISSN 0027-7630. info
• HERMAN, Jiří, Radan KUČERA a Jaromír ŠIMŠA. Equations and Inequalities: Elementary Problems and Theorems in Algebra and Number Theory. 1. vyd. New York: Springer-Verlag, 2000, 355 s. 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, roč. 63, č. 2, s. 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, roč. 56, č. 1, s. 139-166. ISSN 0022-314X. info
• KUČERA, Radan a Jan NEKOVÁŘ. Cyclotomic units in Zp-extensions. Journal of Algebra. 1995, roč. 171, č. 2, s. 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, roč. 40, s. 284-316. ISSN 0022-314X. info

2018/10/09