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Trlifaj Jan

Prof., RNDr., CSc., DSc.
Born December 30, 1954 in Prague

  • Mathematics – representation theory
  • Member of Learned Society since 2017

Educational and professional preparation

  • 1979 MSc. and RNDr. in Mathematics, received from Fac. Math. Phys., Charles Univ. in Prague (MFF)
  • 1989 PhD. in Mathematics  (specialization: algebra and number theory) from MFF
  • 2004 DSc. in Mathematics and Physics (field: mathematical structures) from AS CR
  • 1994 Doc. and 2009 Prof. of Mathematics (field: algebra and number theory) at MFF

Employment and academic positions

  • 1981-1990 programmer, VUMS Prague
  • 1990-1994 Assistant Professor, 1994-2010 Associate Professor, and since 2010   Professor at MFF
  • Fall 1993 Visiting Researcher, CNR, Padova
  • 1994/5 Postdoctoral Fellow of the Royal Society, Dept. Math., Univ. Manchester, UK
  • Fall 1998 J.W.Fulbright Scholar, Dept. Math., Univ. California at Irvine
  • Fall 2002 and 2006 Visiting Professor, CRM Barcelona
  • Since 1990, numerous short term visiting appointments, over 100 invited lectures at conferences and seminars abroad
  • Graduate course lecture series at Ohio Univ., Univ. Nanjing, Univ. Murcia, Univ. Almeria, Univ. Padova, Univ. Verona, et al. 

Membership in selected domestic scientific bodies

  • Member of the Czech Math. Soc., the Czech Committee for Mathematics (2010-4),  and of the Scientific Coucil of MFF (1999-2002, and again since 2012)

Membership and positions in selected international organizations and societies

  • Member of the Amer. Math. Soc., Member of the Editorial Boards of Archivum Mathematicum (since 2002), J. Algebra and Its Appl. (since 2010), and Rend. Sem. Mat. Univ. Padova (since 2010)

Notable awards

  • Special award of the Czechoslovak  Math. Soc. (1987), Czech Literary Fund Prize (1990), Prize of the Dean of MFF (2007), MFF silver medal (2012)

Selected publications

  • J.Trlifaj: “Every *-module is finitely generated”, J. Algebra 169 (1994), 392-398.
  • J.Trlifaj: “Whitehead test modules”, Trans. Amer. Math. Soc. 348 (1996), 1521-1554.
  • P.C.Eklof, J.Trlifaj: “How to make Ext vanish”, Bull. London Math. Soc. 33 (2001), 41-51.
  • S.Shelah, J.Trlifaj: “Spectra of the Γ-invariant of uniform modules”, J. Pure Appl. Algebra 162 (2001), 367-379.
  • J.Šťovíček, J.Trlifaj: “All tilting modules are of countable type”, Bull. London Math. Soc. 39 (2007), 121-132.
  • D.Herbera, J.Trlifaj: “Almost free modules and Mittag-Leffler conditions”, Advances in Math. 229 (2012), 3436-3467.
  • R.Goebel, J.Trlifaj: “Approximations and Endomorphism Algebras of Modules”, de Gruyter Expositions in Mathematics 41, Vol. 1 - Approximations, Vol. 2 - Predictions, xxviii + 972 str., W. de Gruyter, Berlin - Boston 2012 (monografie).
  • S.Estrada, P.Guil Asensio, M.Prest, J.Trlifaj: “Model category structures arising from Drinfeld vector bundles”, Advances in Math. 231 (2012), 1417-1438.
  • L.Angeleri Huegel, D.Pospíšil, J.Šťovíček, J.Trlifaj: “Tilting, cotilting, and spectra of commutative noetherian rings”, Trans. Amer. Math. Soc. 366 (2014), 3487-3517.
  • A.Slávik, J.Trlifaj: “Very flat, locally very flat, and contraadjusted modules”, J. Pure Appl. Algebra 220 (2016), 3910-3926.

Web site

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Luboš Perek is celebrating his 100th year

Founding fellow of the Learned Society and its doyen, astronomer doc. RNDr. Luboš Perek, DrSc, is celebrating his 100th birthday on 26 July 2019. He is an indelible part of history as the person who helped define cosmic space, he was the first to point out the issue of cosmic waste and was also a teacher to the most important Czechoslovak astronomers. Let us express our respect and admiration of the extraordinary scientific career of a person who worked tirelessly and continues to work. The Learned Society wishes Mr Perek health, optimism and joy in the oncoming years.


The Academy of Sciences of the Czech Republic has appealed to the Hungarian President to support academic freedom

On Friday 19 July the Academy of Sciences of the Czech Republic and the Learned Society of the Czech Republic sent a letter to Hungarian President János Ánder, in which they state their concerns regarding the situation in respect to management and funding of scientific activities in Hungary. An act, according to which not the Academy of Sciences, but a thirteen-member political committee, will decide on research, funding of scientific activities and establishment or closure of scientific workplaces, will come into force on 1 September.


The loss of Learned Society Fellow prof. Josef Koutecký

We regret to inform that prof. Josef Koutecký, a fellow of the Learned Society, a renowned physician and the founder of paediatric oncology in this country, passed away on 5 July 2019 at the age of 88. He founded paediatric oncology here in 1964 and a separate paediatric oncology department was then established at the Faculty Hospital in Motol, Prague in 1978.