Dr Joscha Prochno

Assistant Professor

Faculty of Science and Engineering

School of Mathematics and Physical Sciences

j.prochno@hull.ac.uk

01482 466394

Dr Prochno was educated at Heinrich-Heine University Duesseldorf (Germany) and Christian-Albrechts University in Kiel (Germany) where he studied mathematics and physics. After research stays at the TEI in Kozani (Greece) and at the famous Fields Institute for Research in Mathematical Sciences in Toronto (Canada), in 2011 he was awarded the title doctor of science in mathematics (PhD) for his research on the geometry of Banach spaces under the supervision of Carsten Schuett.

In 2012, he was a postdoctoral fellow at the University of Alberta in Edmonton working with Nicole Tomczak-Jaegermann and Alexander Litvak. After that he was a postdoc at the Johannes Kepler University in Linz (Austria) and in 2014 he was awarded a prestigious Lisa Meitner research grant of the Austrian Science Foundation. Since October 2015 Dr Prochno has been an Assistant Professor at the University of Hull and in 2017 he was announced as Visiting International Professor at the Ruhr University Bochum (Germany).

Research

Research Interests

  • Asymptotic Geometric Analysis

  • Functional Analysis

  • Probability Theory

  • Information-based Complexity

Publications

Alonso-Gutiérrez D, Prochno P and Thaele C, Large Deviations for High-Dimensional Random Projections of l_p-balls, preprint (2016).

Alonso-Gutiérrez D and Prochno J, 'The Geometry of Random Convex Sets between Polytopes and Zonotopes', Journal of Mathematical Analysis and Applications, 450 (1) (2017), 670--690.

Giladi O, Prochno P, Schutt C, Tomczak-Jaegermann N and Werner E, 'On the Geometry of Projective Tensor Products', Journal of Functional Analysis, 273 (2) (2017), 471--495.

Guédon O, Hinrichs A, Litvak A E and Prochno J, 'On the Expectation of Operator Norms of Random Matrices', GAFA Lecture Notes in Math, 2169 (2017), 151--162.

Prochno J and Schutt C, 'Combinatorial Inequalities and Subspaces of L_1', Studia Mathematica, 211 (1) (2012), 21--39.

For a full list of Dr Prochno's publications, please follow this link.

Teaching

Programmes taught on

Modules list

  • Analysis

  • Classical Harmonic Analysis

  • Measure, Probability and Integration

  • Advanced Probability Theory

  • Introduction to University Mathematics

Research PhDs

PhD Supervision

Nicola Turchi (RUB, Germany) jointly with Christoph Thaele

Daniel Temesvari (RUB, Germany) jointly with Christoph Thaele

MSc Supervision

Hamish Chreseson, Large Deviations for Random Projections of l_p-balls, Hull, 2017

Katie Smith, Variants of the Hahn-Banach Theorem, Hull, 2017

Daniel Temesvari, Stochastic Processes and Applications to the Geometry of Banach Spaces, JKU Linz, 2016.

BSc Supervision

Jake Vinegrad, The Dvoretzky Theorem, Hull, 2017

Luke Rushworth, The Concentration of Measure Phenomenon, Hull, 2017

Elliot Kay, The Spectral Theorem for Compact Operators, Hull, 2017

Bernhard Poechtrager, Martingales in Functional Analysis, JKU Linz, 2016

Professional highlights

Academic qualifications

  • 2008: Diploma in Mathematics (1.0, very good)

  • 2011: Dr. rer. nat. in Mathematics (1.0, magna cum laude)

External roles

  • Visiting International Professor at Ruhr University Bochum (2017-2019)

  • Management Consultant in Financial Services for KPMG (2013-2014)

  • Principal Investigator at Johannes Kepler University in Linz (Austria) (2014-2015)

  • Postdoc at Johannes Kepler University in Linz (Austria) (2013)

  • Postdoctoral Fellow at University of Alberta in Edmonton (Canada) (2012)

Awards and accolades

Reserach awards

  • FWF Lise-Meitner Grant (2014-2016), amount: 160.000 Euros

  • V.I.P. Grant (2017-2019), amount: 12,000 Euros