Prof. Dr. Adrian Langer

CV

Adrian Langer received his PhD in 1998 from University of Warsaw, Poland. He held various positions at University of Warsaw (1994–2022) and at Institute of Mathematics of Polish Academy of Sciences (2004–2012 and 2014–2016). He was a visiting scientist in ICTP, Trieste, Italy (1999), Marie Curie research fellow at University of Warwick, UK (2000–2002), a visiting professor in MPI Bonn (2007), a research member at MSRI, Berkeley, USA (2009) and a visiting professor at Universitat Duisburg-Essen (2011–2012).

He received Polish Prime Minister’s awards for the PhD thesis (1999) and habilitation (2006), the Kazimierz Kuratowski Prize (2002), Sierpinski’s award from the Polish Academy of Sciences (2004), Friedrich Wilhelm Bessel Research Award from the Alexander von Humboldt Foundation (2011), the first Szolem Mandelbrojt Prize from the French Mathematical Society (2015) and Banach’s Prize from the Polish Mathematical Society (2017).

Selected Publications

• Bogomolov’s inequality for Higgs sheaves in positive characteristic, Invent. Math. 199 (2015), 889–920.
• The Bogomolov-Miyaoka-Yau inequality for logarithmic surfaces in positive characteristic, Duke Math. J. 165 (2016), 2737–2769.
• Rank 3 rigid representations of projective fundamental groups, with C. Simpson, Compositio Math. 154 (2018), 1534–1570.
• On birational boundedness of foliated surfaces, with Ch. Hacon, J. Reine Angew. Math. 770 (2021), 205–229.

FRIAS research project

Geometric structures on algebraic varieties

The project lies within algebraic geometry. It is a part of mathematics that deals with solutions of systems of polynomial equations. However, its methods have applications in many other areas of mathematics and mathematical physics. The project proposal lies on the border of some of these areas and it is concerned with geometry of algebraic varieties and geometric structures on such varieties.