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<ul class="nav navbar-nav navbar-right">

<li class="navbar-icon"><a href="mailto:m.buze@hw.ac.uk"><i class="far fa-envelope"></i></a></li>
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<ul class="nav navbar-nav navbar-right">

<li class="navbar-icon"><a href="mailto:m.buze@hw.ac.uk"><i class="far fa-envelope"></i></a></li>
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<h3 style="text-align:center">Career and Education</h3>
<div>
<dl class="dl-horizontal">
<dt>February 2023 <br>- Present</dt>
<dt>January 2025 <br>- Present</dt>
<dd>
<ul class="list-unstyled">
<li><strong>Lecturer in Mathematics and AI</strong> at MARS: Mathematics for AI in Real-world Systems, within School Of Mathematical Sciences, Lancaster University, UK;</li>
<li>A permanent post (equivalent to Assistant Professor) as part of MARS, a newly-formed applied maths / AI research group at Lancaster. See <a href="https://www.lancaster.ac.uk/maths/research/mars/">here</a> for more details.
</ul>
</dd>
<dt>February 2023 <br>- January 2025</dt>
<dd>
<ul class="list-unstyled">
<li><strong>Research Associate</strong> at School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, UK;</li>
<li>A postdoctoral position funded by <a href="https://gtr.ukri.org/projects?ref=EP%2FV00204X%2F1">EPSRC grant</a><br> awarded jointly to <a href="https://researchportal.hw.ac.uk/en/persons/john-ball">Prof. John Ball</a>, <a href="http://www.macs.hw.ac.uk/~db92/">Dr David Bourne</a>, <a href="http://www.macs.hw.ac.uk/~ls121/">Dr Lucia Scardia</a>.
<li> I am primarily working with Dr D. Bourne and <a href="https://www.gla.ac.uk/schools/mathematicsstatistics/staff/stevenroper/">Dr Steven Roper (Glasgow)</a> on using modern GPU-oriented optimal transport computational tools in the modelling of polycrystalline materials. See our Python library, <a href="https://github.com/mbuze/PyAPD">PyAPD</a>.
<li> I primarily worked with Dr D. Bourne and <a href="https://www.gla.ac.uk/schools/mathematicsstatistics/staff/stevenroper/">Dr Steven Roper (Glasgow)</a> on using modern GPU-oriented optimal transport computational tools in the modelling of polycrystalline materials. See our Python library, <a href="https://github.com/mbuze/PyAPD">PyAPD</a>.
<!-- <li>working on several <a href="https://gtr.ukri.org/projects?ref=EP%2FV00204X%2F1">EPSRC-funded</a> projects about mathematical theory of (poly)crystalline materials with <a href="https://researchportal.hw.ac.uk/en/persons/john-ball">Prof. John Ball</a>, <a href="http://www.macs.hw.ac.uk/~db92/">Dr David Bourne</a>, <a href="http://www.macs.hw.ac.uk/~ls121/">Dr Lucia Scardia</a>.</li> -->
</ul>
</dd>
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<ul class="nav navbar-nav navbar-right">

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Expand Down Expand Up @@ -177,26 +177,54 @@ <h3> Future events </h3>
<li><a href="https://www.mfo.de/occasion/2519/www_view">website</a></li>
</ul>
</dd>
<br>
<br>
<h3> Past events </h3>
(30 talks, including 9 in the last year)
<br><br>
<dd>
<ul class="list-unstyled">
<li><strong>Visit to Kanazawa</strong></li>
<li>Kanazawa University, Japan, 16 - 20 December 2024</li>
<li>Hosted by <a href="https://sites.google.com/site/pjpvmeurs/">Patrick van Meurs</a>, I also gave a seminar talk.</li>
</ul>
</dd>
<dd>
<ul class="list-unstyled">
<li><strong>New Mathematics for the Exascale: Applications to Materials Science Reunion Conference</strong></li>
<li>UCLA Lake Arrowhead Conference Center, Los Angeles, 8 - 13 December 2024</li>
<li>Invited talk</li>
</ul>
</dd>
<dd>
<ul class="list-unstyled">
<li><strong>Multiscale Mechanics and Artificial Microstructures</strong></li>
<li>ICMS, Edinburgh, 2 - 3 December 2024</li>
<li>Invited talk, <a href="https://www.icms.org.uk/workshops/2024/multiscale-mechanics-and-artificial-microstructures">website</a></li>
</ul>
</dd>
<dd>
<ul class="list-unstyled">
<li><strong>Scottish-Basque meeting on analysis</strong></li>
<li>ICMS, Edinburgh, 28 - 30 October 2024</li>
<li>Invited talk, <a href="https://www.icms.org.uk/workshops/2024/scottish-basque-meeting-analysis">website</a></li>
</ul>
</dd>
<dd>
<ul class="list-unstyled">
<li><strong>Summer School on Deep Learning for Mathematical Imaging </strong></li>
<li>University of Liverpool, July 2024</li>
<li>I am invited by <a href="http://pcwww.liv.ac.uk/~aalpers">Dr Andreas Alpers</a> to deliver a short course on machine learning approaches to microstructure modelling in Python, including a hands-on showcase of my library <a href="https://github.com/mbuze/PyAPD">PyAPD</a>, to research interns at The Centre for Mathematical Imaging Techniques. </i></li>
<li><a href="https://www.liverpool.ac.uk/~cmchenke/CMIT/summer2021/">website</a></li>
<li>University of Liverpool, 16-19 July 2024</li>
<li>I was invited by <a href="http://pcwww.liv.ac.uk/~aalpers">Andreas Alpers</a> to deliver a short course on machine learning approaches to microstructure modelling in Python, including a hands-on showcase of our library <a href="https://github.com/mbuze/PyAPD">PyAPD</a>, to research interns at The Centre for Mathematical Imaging Techniques. </i></li>
<li><a href="https://www.liverpool.ac.uk/~cmchenke/CMIT/summer2021/">website</a>, <a href="https://github.com/mbuze/GAN_microstructure_modelling">teaching materials</a> </li>
</ul>
</dd>
<dd>
<ul class="list-unstyled">
<li><strong>Visit to Paris, Marseille and Besançon</strong></li>
<li>June 2024</li>
<li>A multi-stop visit hosted by <a href="https://team.inria.fr/matherials/team-members/virginie-ehrlacher-galland/">Prof. Virginie Ehrlacher</a>, <a href="https://gdusson.perso.math.cnrs.fr/">Dr Geneviève Dusson</a> and <a href="https://tomswinburne.github.io/">Dr Tom Swinburne</a>. Details to follow.
<li><strong>Visit to Paris</strong></li>
<li>24-28June 2024</li>
<li>A multi-stop Optimal Transport themed visit hosted by <a href="https://team.inria.fr/matherials/team-members/virginie-ehrlacher-galland/">Virginie Ehrlacher</a>, with further meetings with <a href="https://brunolevy.github.io/">Bruno Lévy</a>, <a href="https://gallouet.github.io/">Thomas Gallouët</a>, <a href="http://quentin.mrgt.fr/">Quentin Mérigot</a>, <a href="http://angkor.univ-mlv.fr/~vialard/">François-Xavier Vialard</a> and <a href="https://www.jeanfeydy.com/">Jean Feydy</a>.
</ul>
</dd>
<br>
<br>
<h3> Past events </h3>
(24 talks, including 9 in the last year)
<br><br>
<dd>
<ul class="list-unstyled">
<li><strong>Maxwell Analysis Day</strong>;</li>
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<ul class="nav navbar-nav navbar-right">

<li class="navbar-icon"><a href="mailto:m.buze@hw.ac.uk"><i class="far fa-envelope"></i></a></li>
<li class="navbar-icon"><a href="mailto:m.buze@lancaster.ac.uk"><i class="far fa-envelope"></i></a></li>

<li class="navbar-icon"><a href="https://github.com/mbuze/"><i class="fab fa-github"></i></a></li>

Expand All @@ -160,19 +160,20 @@ <h1></h1>
<h2></h2>
<div class="homepage-content text-justify"><img hspace="10" align=right src="/MB_photo.jpg" width="200">
<h1 id="maciej-buze">Maciej Buze</h1>
<h3> Research Associate
<h3> Lecturer in Mathematics and AI
<h4>
School of Mathematical and Computer Sciences
<br> Heriot-Watt University
<br> Edinburgh, Scotland
<br> EH14 4AS
School Of Mathematical Sciences
<br> MARS: Mathematics for AI in Real-world Systems
<br> Lancaster University
<br> Lancaster LA1 4YW
<br> United Kingdom
</h4>
<p>Office: Colin McLaurin Building T.03
<p>Office: S&amp;T Building B004a
<br>
<a href="https://researchportal.hw.ac.uk/en/persons/maciej-buze">departmental website</a>
(departmental website link to be added)</a>
<br>
<br></p>
<br>
Email: m[dot]buze[at]lancaster[dot]ac[uk]</p>
<p><b><span style="font-size:1.4em;">Research interests:</span></b><br></p>
<p>My research spans a wide range of topics at the intersection of
<strong>applied and computational mathematics</strong> and <strong>mathematical analysis</strong>
Expand All @@ -185,6 +186,14 @@ <h4>
<li><strong>Optimal transport: theory and applications</strong></li>
<li><strong>Uncertainty quantification for machine learning interatomic potentials</strong></li>
</ul>
<br>
<p><b><span style="font-size:1.4em;">PhD opportunities:</span></b></p>
<p>MARS is offering 4-year fully-funded PhD studentships. I will be supervising two projects:</p>
<ul>
<li><a href="https://www.lancaster.ac.uk/maths/research/mars/phds/mars-indicative-phd-projects/#numerical-continuation-and-deflation-techniques-for-atomistic-modelling-of-materials-605030-1">Numerical continuation and deflation techniques for atomistic modelling of materials</a></li>
<li><a href="https://www.lancaster.ac.uk/maths/research/mars/phds/mars-indicative-phd-projects/#minimisation-diagrams-optimal-transport-and-logistic-regression-with-applications-to-microstructure-modelling-in-metals--605030-2"> Minimisation diagrams, optimal transport and logistic regression, with applications to microstructure modelling in metals.</a></li>
</ul>
<p>Please get in touch if you are interested!<br></p>
<!-- I use and develop tools in <u>calculus of variations</u>, <u>bifurcation theory</u>, <u>numerical analysis</u>, <u>optimal transport</u>, <u>uncertainty
quantification</u>, <u>approximation theory</u>, and <u>scientific GPU computing</u>. Current applications include atomistic modelling of defects in crystalline materials, bottom-up approaches to the modelling of near-crack-tip plasticity, geometric modelling of microstructure in polycrystalline materials (with <b>industrial partner, Tata Steel</b>), and quantifying uncertainties when modelling materials with interatomic potentials. Specific topics include (see <a href="research">Research tab</a> for details):
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<pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>

<guid>https://mbuze.github.io/cv/</guid>
<description>Career and Education February 2023 - Present Research Associate at School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, UK; A postdoctoral position funded by EPSRC grant
awarded jointly to Prof. John Ball, Dr David Bourne, Dr Lucia Scardia. I am primarily working with Dr D. Bourne and Dr Steven Roper (Glasgow) on using modern GPU-oriented optimal transport computational tools in the modelling of polycrystalline materials. See our Python library, PyAPD.</description>
<description>Career and Education January 2025 - Present Lecturer in Mathematics and AI at MARS: Mathematics for AI in Real-world Systems, within School Of Mathematical Sciences, Lancaster University, UK; A permanent post (equivalent to Assistant Professor) as part of MARS, a newly-formed applied maths / AI research group at Lancaster. See here for more details. February 2023 - January 2025 Research Associate at School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, UK; A postdoctoral position funded by EPSRC grant</description>
</item>

<item>
Expand All @@ -31,7 +30,7 @@ awarded jointly to Prof. John Ball, Dr David Bourne, Dr Lucia Scardia. I am pri
<pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>

<guid>https://mbuze.github.io/events/</guid>
<description>Future events Computational Materials Science and Mathematics at the Particle and Atomistic Scales ICMS, Edinburgh, UK, 10-14 November 2025 I am on the organising committee and will run a one-day session devoted to numerical continuation/deflation and optimisation techniques at the atomistic scale. More info to follow. website. -- Singularities in Discrete Systems Oberwolfach, Germany 4-9 May 2025. website Summer School on Deep Learning for Mathematical Imaging University of Liverpool, July 2024 I am invited by Dr Andreas Alpers to deliver a short course on machine learning approaches to microstructure modelling in Python, including a hands-on showcase of my library PyAPD, to research interns at The Centre for Mathematical Imaging Techniques.</description>
<description>Future events Computational Materials Science and Mathematics at the Particle and Atomistic Scales ICMS, Edinburgh, UK, 10-14 November 2025 I am on the organising committee and will run a one-day session devoted to numerical continuation/deflation and optimisation techniques at the atomistic scale. More info to follow. website. -- Singularities in Discrete Systems Oberwolfach, Germany 4-9 May 2025. website Past events (30 talks, including 9 in the last year) Visit to Kanazawa Kanazawa University, Japan, 16 - 20 December 2024 Hosted by Patrick van Meurs, I also gave a seminar talk.</description>
</item>

<item>
Expand All @@ -49,7 +48,7 @@ awarded jointly to Prof. John Ball, Dr David Bourne, Dr Lucia Scardia. I am pri
<pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>

<guid>https://mbuze.github.io/publications/</guid>
<description>[10] J.&amp;nbsp;Braun and M.&amp;nbsp;Buze. Incompleteness of Sinclair-type continuum flexible boundary conditions for atomistic fracture simulations. arXiv e-prints, 2403.05462, 2024. [&amp;nbsp;bib&amp;nbsp;| http&amp;nbsp;| .pdf&amp;nbsp;] [9] M.&amp;nbsp;Buze, J.&amp;nbsp;Feydy, S.R. Roper, K.&amp;nbsp;Sedighiani, and D.&amp;nbsp;Bourne. Anisotropic power diagrams for polycrystal modelling: efficient generation of curved grains via optimal transport. arXiv e-prints, 2403.03571, 2024. [&amp;nbsp;bib&amp;nbsp;| http&amp;nbsp;| .pdf&amp;nbsp;] [8] M.&amp;nbsp;Buze. Constrained Hellinger-Kantorovich barycenters: least-cost soft and conic multi-marginal formulations.</description>
<description>[10] J.&amp;nbsp;Braun and M.&amp;nbsp;Buze. Incompleteness of Sinclair-type continuum flexible boundary conditions for atomistic fracture simulations. arXiv e-prints, 2403.05462, 2024 (accepted for publication in SIAM MMS). [&amp;nbsp;bib&amp;nbsp;| http&amp;nbsp;| .pdf&amp;nbsp;] [9] M.&amp;nbsp;Buze, J.&amp;nbsp;Feydy, S.R. Roper, K.&amp;nbsp;Sedighiani, and D.&amp;nbsp;Bourne. Anisotropic power diagrams for polycrystal modelling: Efficient generation of curved grains via optimal transport, Computational Materials Science, Volume 245, 2024. [&amp;nbsp;bib&amp;nbsp;| DOI&amp;nbsp;| http&amp;nbsp;| .pdf&amp;nbsp;] [8] M.</description>
</item>

<item>
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<ul class="nav navbar-nav navbar-right">

<li class="navbar-icon"><a href="mailto:m.buze@hw.ac.uk"><i class="far fa-envelope"></i></a></li>
<li class="navbar-icon"><a href="mailto:m.buze@lancaster.ac.uk"><i class="far fa-envelope"></i></a></li>

<li class="navbar-icon"><a href="https://github.com/mbuze/"><i class="fab fa-github"></i></a></li>

Expand Down Expand Up @@ -171,7 +171,7 @@ <h5></h5>
J.&nbsp;Braun and M.&nbsp;Buze.
Incompleteness of Sinclair-type continuum flexible boundary
conditions for atomistic fracture simulations.
<em>arXiv e-prints</em>, 2403.05462, 2024.
<em>arXiv e-prints</em>, 2403.05462, 2024 (accepted for publication in SIAM MMS).
[&nbsp;<a href="mbuze_papers_bib.html#BB24">bib</a>&nbsp;|
<a href="https://arxiv.org/abs/2403.05462">http</a>&nbsp;|
<a href="https://arxiv.org/pdf/2403.05462.pdf">.pdf</a>&nbsp;]
Expand All @@ -181,12 +181,11 @@ <h5></h5>
</dt>
<dd>
M.&nbsp;Buze, J.&nbsp;Feydy, S.R. Roper, K.&nbsp;Sedighiani, and D.&nbsp;Bourne.
Anisotropic power diagrams for polycrystal modelling: efficient
generation of curved grains via optimal transport.
<em>arXiv e-prints</em>, 2403.03571, 2024.
[&nbsp;<a href="mbuze_papers_bib.html#BFRSB24">bib</a>&nbsp;|
<a href="https://arxiv.org/abs/2403.03571">http</a>&nbsp;|
<a href="https://arxiv.org/pdf/2403.03571.pdf">.pdf</a>&nbsp;]
Anisotropic power diagrams for polycrystal modelling: Efficient generation of curved grains via optimal transport, Computational Materials Science, Volume 245, 2024.
[&nbsp;<a href="mbuze_papers_bib.html#BFRSB24">bib</a>&nbsp;|
<a href="https://doi.org/10.1016/j.commatsci.2024.113317">DOI</a>&nbsp;|
<a href="https://www.sciencedirect.com/science/article/pii/S092702562400538X">http</a>&nbsp;|
<a href="https://www.sciencedirect.com/science/article/pii/S092702562400538X/pdfft?md5=cfe7f7f163e6c906bfbc921a5cca5e54&pid=1-s2.0-S092702562400538X-main.pdf">.pdf</a>&nbsp;]
</dd>
<dt>
[<a name="B24">8</a>]
Expand All @@ -195,7 +194,7 @@ <h5></h5>
M.&nbsp;Buze.
Constrained Hellinger-Kantorovich barycenters: least-cost soft and
conic multi-marginal formulations.
<em>arXiv e-prints</em>, 2402.11268, 2024.
<em>arXiv e-prints</em>, 2402.11268, 2024 (accepted for publication in SIMA)
[&nbsp;<a href="mbuze_papers_bib.html#B24">bib</a>&nbsp;|
<a href="https://arxiv.org/abs/2402.11268">http</a>&nbsp;|
<a href="https://arxiv.org/pdf/2402.11268.pdf">.pdf</a>&nbsp;]
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