Dr Vitaliy Kurlin: mathematics & computer science

Current research: topological data analysis. Everything is possible!

E-mail: vitaliy.kurlin(at)gmail.com, University of Liverpool, UK

Welcome to the Data Science research using new topological methods for Materials Science, Computer Vision, Climate.

If you are a potential postdoc, PhD student or intern with C++ or Python skills, read the blog post how to join the group.

Topological data analysis: tools and applications

theory and applications of topological data analysis

Videos of talks explaining key ideas, basic examples and various applications of Topological Data Analysis :

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Affiliations: current positions and connections

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News: success stories of the group in Topological Data Analysis

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Career highlights : leadership, awards, papers, keynotes, collaborations, mentoring

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Grants (larger than 10K GBP in value), see also smaller grants

EPSRC logo EPSRC grant awarded under the call New Approaches to Data Science jointly with Principal Investigators Prof Ulrike Tillmann and Dr Heather Harrington from Oxford and a team from Swansea. The 100% budget is more than £3.5M over 2018 - 2022. I've led the Computer Science team at Liverpool with a budget over 715K GBP including Prof Andrew Cooper, Paul Spirakis, Igor Potapov. The success has led to the creation of the Centre for Topological Data Analysis and was highlighted in the university news.
Title : Application-driven Topological Data Analysis (ref. EP/R018472/1).
Unilever logo Unilever's top-up (18K GBP since March 2019) for the PhD bursary of Thomas Welsh, who has done a great MSc thesis for Unilever in summer 2018 and continues working on Unilever's projects in his PhD.
Royal Society logo The Royal Society International Exchanges (IES/R2/170039, 12K GBP until December 2019) for bilateral visits between the TDA group at Liverpool (UK) and Prof Herbert Edelsbrunner's group at IST Austria.
Intel logo Intel gift (80K USD) for Grzegorz Muszynski's PhD "Topological analysis of the Climate System" funded through the Lawrence National Berkeley lab (US) from April 2017 at the University of Liverpool, UK.
Microsoft logo Knowledge Transfer Secondments at Microsoft Research Cambridge with Dr Andrew Fitzgibbon.
2014 - 2016 : EPSRC gave about 24K GBP, Microsoft Research provided 75K GBP in-kind contribution.
Title : Applications of Topological Data Analysis to Computer Vision. Covered visits to Prof Carlsson at Stanford University (US) and Ayasdi, to Prabhat at Lawrence National Laboratory in Berkeley (2016).
EPSRC logo EPSRC first grant (100K GBP) with post-doctoral assistant Dr Alexey Chernov, 2011 - 2013
Title : Persistent Topological Structures in Noisy Images (ref. EP/I030328/1), which continued as Knowledge Transfer Secondments at Microsoft Research Cambridge in 2014-2016.
EC logo Marie Curie International Incoming Postdoctoral Fellowship (142K Euros) Combinatorial Knot Theory. University of Liverpool (UK), September 2005 - May 2007.
Dijon logo Postdoctoral Fellowship (22K Euros) on Combinatorial Group Theory at University of Burgundy, Dijon (France), December 2003 - November 2004.

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Group in Topological Data Analysis : 1 research assistant and 6+6+2 PhD students

The group leads a development of new geometric and topological methods that will enable next generation materials discovery. The key difference with past discrete tools (such as symmetry groups) is a continuous (stable-under-noise) approach to a mathematical classification of crystals. The following success stories have appeared in the news.

Cristian Badoi's photo Research Assistant Cristian Badoi is a software developer in the Materials Innovation Factory, funded by the Leverhulme Research Centre for Functional Materials Design over July 2019 - April 2020.

Cristian is originally from Romania, has completed a good 3rd year research project in 2018-19 and a short project under my supervision funded by a Faculty bursary in summer 2019 at Liverpool.

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1st supervision : 6 graduate students who I help as the first supervisor (ordered by their start date)

Grzegorz Muszynski's photo PhD student Mr Grzegorz Muszynski (since April 2017) is supervised by Dr Vitaliy Kurlin (80%) and the Senior Staff Scientist Michael Wehner, funded by the Intel Parallel Computing Center. Grzegorz has a split-site supervision agreement and spends July-December at the NERSC in the Berkeley lab (US).

Project : Topological Analysis of the Climate System.
Grzegorz has gained a Computer Science degree from the Technical University of Warsaw in 2016.
Philip Smith's photo PhD student Mr Philip Smith (since October 2017) is supervised by Dr Vitaliy Kurlin (80%) and Prof Igor Potapov, funded by the Leverhulme Centre at the Materials Innovation Factory in Liverpool.

Project : New Computational Methods for a Faster Materials Discovery.

Phil has gained a first class 4-year degree in mathematics from Durham University in 2017 and also learned C++ programming skills during his summer projects under my supervision in 2016-17.
Yury Elkin's photo PhD student Mr Yury Elkin (since November 2017) is supervised by Dr Vitaliy Kurlin (80%) and Dr Marja Kankaanrinta, funded by the school of EEE&CS at Liverpool. Yury has a split-site supervision agreement and spends 6 months every year (summer/winter vacations) at the University of Helsinki.

Project : Topological methods in shape recognition.
Yury has gained strong mathematical skills in his 4-year degree at the University of Helsinki, Finland.
Marco Mosca's photo PhD student Mr Marco Mosca (since October 2018) is supervised by Dr Vitaliy Kurlin (80%) and the MIF director Prof Andy Cooper, funded by the EEE&CS to develop an impact case with the CCDC.

Project : Discovering hidden patterns in high-dimensional data for materials science.
Marco has gained a degree in Computer Science and Bioinformatics at the University of Bologna, Italy.
Thomas Welsch's photo PhD student Mr Thomas Welsch (since January 2019) is supervised by Dr Vitaliy Kurlin (80%) and Prof Peter Myers, funded by the school of EEE&CS as the support for the EPSRC grant EP/R018472/1.

Project : New Topological and Geometric Methods for Computer Vision problems in Materials Science.
Thomas has gained Computer Science degrees: BSc from Tennessee (US), then completed an excellent MSc thesis under my supervision in Liverpool on an image processing project important for Unilever.
Matthew Bright's photo PhD student Dr Matthew Bright (since October 2019) is supervised by Dr Vitaliy Kurlin (80%) and MIF director Prof Andy Cooper (20%), funded by the EEE&CS school as the support for the EPSRC grant.

Project : Geometry and topology for a continuous similarity between crystals.

Matthew has obtained a PhD in molecular biology at Manchester, then gained data analysis experience at Royal Mail and USS, also completed a maths MSc thesis under my supervision in summer 2018.

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2nd supervision : 6 graduate students who I help as the 2nd supervisor (ordered by their start date)

Krasen Samardzhiev's photo PhD student Mr Krasen Samardzhiev (since October 2017) is supervised by Dr Daniel Arribas-Bel, Dr Vitaliy Kurlin (40%) and Prof Alex Singleton, funded by the Data Analytics and Society CDT.

Project : A Topological Data Analysis of Big Spatio-Temporal Urban Data.
Krasen has completed a BSc degree in Computer Science at Liverpool, UK
Fraser Holloway's photo PhD student Mr Fraser Holloway (since October 2017) is supervised by Dr Laura Harkness-Brennan and Dr Vitaliy Kurlin (40%), funded by the Big Data Science Centre for Doctoral Training in Physics.
Project : Topological Data Analysis methods for AGATA (a gamma-ray detector).
Fraser has completed a BSc degree in Physics at Liverpool, UK.
Miloslav Torda's photo PhD student Mr Miloslav Torda (since October 2018) is supervised by Prof Yannis Goulermas, Dr Vitaliy Kurlin (40%), Prof Graeme Day, funded by the Leverhulme Centre at the Materials Innovation Factory.

Project : Analysis of energy landscapes of molecular crystal structures employing combinatorial and topological methodologies.

Milo has gained two 5-year degrees in Psychology and Mathematics/Probability at Bratislava (Slovakia).
Cameron Hargreaves' photo PhD student Mr Cameron Hargreaves (since October 2018) is supervised by Dr Matthew Dyer and Dr Vitaliy Kurlin (40%), funded by the SOLBAT project (a part the Industrial Strategy Challenge Fund).

Project : Data Science and Machine Learning for the Discovery of Solid Lithium Ion Conductors.
Cameron has completed BSc in Electrical Engineering and MSc in Computer Science at Liverpool.
Katerina Vriza's photo PhD student Ms Katerina Vriza (since October 2018) is supervised by Dr Matthew Dyer, Dr Vitaliy Kurlin (20%), funded by the CCDC and Leverhulme Research Centre at the Materials Innovation Factory.

Project : Data Driven Discovery of Functional Molecular Co-crystals.
Katerina has two degrees: BSc in Electrical Engineering (Greece), BSc+MSc in Chemistry (York, UK).
Muizdeen Raji's photo PhD student Mr Muizdeen Raji (since November 2019) is supervised by Dr Nagesh Kalakonda (50%), Dr Vitaliy Kurlin (30%), Dr Joseph Slupsky, funded by the doctoral network AI in Future Digital Health.

Project : Cellular diversity in health and disease using mass cytometry and computational approaches.
Muizdeen is originally from Nigeria, has a BSc in Chemistry and an MSc in Biomedical Sciences.

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3rd supervision : 2 graduate students who I help as the 3rd supervisor (ordered by their start date)

PhD student Mr Shiyamjith Nathaniel (since October 2018) is supervised by Prof Robert Page (50%), Dr Laura Harkness-Brennan (25%) and Dr Vitaliy Kurlin (25%), funded by the Big Data Science CDT.
Sam Carruthers' photo PhD student Mr Sam Carruthers (since October 2019) is supervised by the MIF director Prof Andy Cooper (80%), Dr David Marquez-Gamez (10%) and Dr Vitaliy Kurlin (10%).

Project : Mobile robot chemists for autonomous solar fuels research.

Sam has completed a 4-year degree in Chemistry at Liverpool, UK.

The group offers the opportunity to give informal talks at the regular group seminar.

You could also explore the former students and postdocs of the research group.

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Join the group in Topological Data Analysis

If you know C++ or Python, and wish to join as an intern, PhD or postdoc, please read the post how to join the group.

We are especially looking for postdoctoral candidates with excellent communication skills and external funding.

If you follow the advice, we'll support your application for a PhD studentship or a postdoctoral fellowship below.

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Education : PhD (2003), MSc×2 and PGCert

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Experience : CV and job history since 2000

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