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, please e-mail vitaliy.kurlin(at)gmail.com.

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 in the TDA group

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Awards (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 higlighted in the University of Liverpool news.
Title : Application-driven Topological Data Analysis (ref. EP/R018472/1).
Royal Society logo The Royal Society International Exchanges grant (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 the first 2 years of Grzegorz Muszynski's PhD "Topological analysis of the Climate System" funded through the 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 Transefer 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

Ana Garcia's photo Postdoctoral Assistant Dr Ana Garcia (September 2018 - August 2023) working on mathematics of crystals in the MIF, funded by the EPSRC grant "Application-driven Topological Data Analysis" (EP/R018472/1).

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 every year at the NERSC in the Berkeley lab (US).
Project : Topological Analysis of the Climate System.
Philip Smith's photo PhD student Mr Philip Smith (since October 2017) is supervised by Dr Vitaliy Kurlin (80%) and Dr Igor Potapov, funded by the Leverhulme Centre at the Materials Innovation Factory in Liverpool.
Project : New Computational Methods for a Faster Materials Discovery.
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 (mostly summer and winter vacations) at the University of Helsinki.
Project : Topological methods in shape recognition.
Marco Mosca's photo PhD student Mr Marco Mosca (since October 2018) is supervised by Dr Vitaliy Kurlin (80%) and Prof Andy Cooper, funded by the school of EEE&CS at Liverpool for developing an impact case study with the CCDC.
Project : Discovering hidden patterns in high-dimensional data for materials science.
Thomas Welsch's photo PhD student Mr Thomas Welsch (since autumn 2018) is supervised by Dr Vitaliy Kurlin (80%) and Dr Shan Luo, funded by the school of EEE&CS as the university support for the EPSRC grant EP/R018472/1.
Project : New Topological and Geometric Methods for Computer Vision problems in Materials Science.

Graduate students who I help as a 2nd or 3rd supervisor (ordered by their start date)

Fraser Holloway's photo PhD student Mr Fraser Holloway (since October 2017) is supervised by Dr Laura Harkness-Brennan and Dr Vitaliy Kurlin (50%), funded by the Big Data Science Centre for Doctoral Training in Physics at Liverpool.
Project : Topological Data Analysis methods for AGATA (a gamma-ray detector).
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 at Liverpool.
Project : A Topological Data Analysis of Big Spatio-Temporal Urban Data.
Katerina Vriza's photo PhD student Ms Katerina Vriza (since October 2018) is supervised by Dr Matthew Dyer and Dr Vitaliy Kurlin, funded by the CCDC and the Leverhulme Research Centre at the Materials Innovation Factory.
Project : Data Driven Discovery of Functional Molecular Co-crystals.
Cameron Hargreaves' photo PhD student Mr Cameron Hargreaves (since October 2018) is supervised by Dr Matthew Dyer and Dr Vitaliy Kurlin, funded by the Faraday Battery Challenge (part of the Industrial Strategy Challenge Fund).
Project : Data Science and Machine Learning Applied to the Discovery of Solid Lithium Ion Conductors.
Miloslav Torda's photo PhD student Mr Miloslav Torda (since October 2018) is supervised by Dr Yannis Goulermas, Dr Vitaliy Kurlin (40%) and 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.

Temporary students in 2017-18 (from 8 weeks to 8 months): Abid Abdul (2nd year), Alex Bagnall (3rd year), Naohiko Ban (visiting PhD), Jacob Bracken (3rd year), Matthew Bright (MSc), Gemma Cook (MSc), Jack Gee (2nd year), Cameron Hargreaves (MSc), Di Liu (2nd year), Jingyi Lu (3rd year), Asim Munshi (graduate intern), Andrew Parry (3rd year), Antoine Rohmer (2nd year), Arshad Siddiqui (self-funded intern), Eris Tricker (graduate intern), Thomas Welsch (MSc).

TDA group photo February 2018

Photo in Feb 2018: Naohiko Ban, Asim Munshi, Eris Tricker, Krasen Samardzhiev, VK, Grzegorz Muszynski, Phil Smith.

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

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

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Join the group in Topological Data Analysis

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Career highlights : achievements since 2005

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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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