Matthias Eschrig studied Physics at the Universities of Leipzig and Bayreuth, and completed his Ph.D. at the University of Bayreuth, Germany, in 1997. After postdoctoral research in the U. S. at Northwestern University (1997-1999) and at Argonne National Laboratory (1999-2001), he moved to University of Karlsruhe (since 2009 Karlsruhe Institute of Technology) in Germany, where he stayed from 2001-2010, and where he completed his Habilitation Degree in 2005. After guest professorships at University of Konstanz in 2007 and 2009-2010, he joined the faculty at Royal Holloway, University of London in November 2010, where he was promoted to Full Professor in January 2012. In 2019, he accepted the offer of a Chair in Condensed Matter Theory at University of Greifswald.

He acted as founding member and co-director of the Hubbard Theory Consortium, as founding member of the Baltic Consortium of Theoretical Physics, as Fellow of the South East Physics Network (SEPnet), and as member of the Board of Governors of the International Institute for Complex Adaptive Matter. In 2015 he was awarded the Lars Onsager Guest Professorship and Lars Onsager Medal of the Norwegian University of Technology.

Since 2024: Dean of the Faculty of Mathematics and Natural Sciences, U Greifswald

2023-2024: Vice Dean of the Faculty of Mathematics and Natural Sciences, U Greifswald

Since 2022: Specialty Chief Editor Condensed Matter, Frontiers of Physics

2020-2024: Deputy Executive Director of Institute of Physics, U Greifswald

2020-2024: Member of Faculty Board of Mathematics and Natural Sciences, U Greifswald

2017-2019: Member of Academic Board of Royal Holloway, University of London

2014-2019: Deputy Director of Hubbard Theory Consortium, London

since 2013: Member of Board of Governers of International Institute for Complex Adaptive Matter

2012-2014: Member of ACM Steering Committee of the Southeast Physics Network, UK