Jan Trlifaj studied mathematics at the Faculty of Mathematics and Physics,
Charles University, from which he received MSc. in 1979, Ph.D. in 1989 under Ladislav Bican.[2] and Prof. of Mathematics in the field Algebra and number theory in 2009.
In the academic year 1994/95 he had the position as Postdoctoral Fellow of the Royal Society at Department of Mathematics at University of Manchester. In Fall 1998 he received the J.W.Fulbright Scholarship at the Department of Mathematics, University California at Irvine. During Fall 2002 and 2006 he was a visiting professor at
Centre de Recerca Matemàtica, Barcelona.
Since 1990, he has completed numerous short term visiting appointments and given over 100 invited lectures at conferences and seminars worldwide.[3]
He served in the organizing committee of 18th International Conference on
Representations of Algebras (ICRA 2018), held for 250 participants from 34 countries in August 2018 in Prague, Czech Republic.[5]
He has been elected Fellow of the
American Mathematical Society (AMS) in 2020, for contributions to homological algebra and tilting theory for non finitely generated modules.[6]
He serves as Member of the Science board for Neuron prize that is awarded to best Czech scientists by Neuron Endowment Fund.[7]
1994: "Every *-module is finitely generated", Journal of Algebra, 169 (2): 392–398,
doi:10.1006/jabr.1994.1291
1996: Trlifaj, Jan (1996), "Whitehead test modules", Transactions of the American Mathematical Society, 348 (4): 1521–1554,
doi:10.1090/S0002-9947-96-01494-8
2001: Eklof, Paul C.; Trlifaj, Jan (2001), "How to make Ext vanish", Bulletin of the London Mathematical Society, 33 (1): 41–51,
doi:
10.1112/blms/33.1.41,
S2CID11541149 (with Paul C. Eklof), Shelah, Saharon; Trlifaj, Jan (2001), "Spectra of the Γ-invariant of uniform modules", Journal of Pure and Applied Algebra, 162 (2–3): 367–379,
doi:
10.1016/S0022-4049(00)00118-3 (with
Saharon Shelah)
2007: Šťovíček, Jan; Trlifaj, Jan (2007), "All tilting modules are of countable type", Bulletin of the London Mathematical Society, 39 (1): 121–132,
doi:
10.1112/blms/bdl019 (with Jan Šťovíček)
2016: Slávik, Alexander; Trlifaj, Jan (2016), "Very flat, locally very flat, and contraadjusted modules", Journal of Pure and Applied Algebra, 220 (12): 3910–3926,
arXiv:1601.00783,
doi:
10.1016/j.jpaa.2016.05.020,
S2CID119176440 (with Alexander Slávik)
Books
2006, 2012: Approximations and Endomorphism Algebras of Modules, de Gruyter Expositions in Mathematics 41, Vol. 1 - Approximations, Vol. 2 - Predictions, W. de Gruyter Berlin - Boston, xxviii + 972 pp. (with
Rüdiger Göbel)
Awards and distinctions
Prize of the Dean of MFF for the best monograph 2006[8]
MFF UK Silver medal at the Sexagennial anniversary [9][10]
Fellow of the American Mathematical Society, 2020[11]